elichen-skymizer/llm-eval-questions-extended

id int64 13 12.3k	question stringlengths 22 1.9k	source stringclasses 2 values	category stringclasses 15 values
8,304	A survey shows that a mayoral candidate is gaining votes at a rate of 2000t + 1000 votes per day, where t is the number of days since she announced her candidacy. How many supporters will the candidate have after 60 days, assuming that she had no supporters at t = 0?	mmlu_pro	math
7,705	Given the probabilities P(A) = 0.3 and P(B) = 0.2, what is the probability of the union P(A ∪ B) if A and B are mutually exclusive? If A and B are independent? If B is a subset of A?	mmlu_pro	math
3,909	A sample of $255 \mathrm{mg}$ of neon occupies $3.00 \mathrm{dm}^3$ at $122 \mathrm{K}$. Use the perfect gas law to calculate the pressure of the gas.	mmlu_pro	chemistry
2,590	Which of the following kinds of therapies would most likely be used by a somatic therapist?	mmlu_pro	psychology
1,464	Ann owns a tract of land. On August 1,2005, Ann sells to Hunter and Willa, a husband and wife, an undivided one-half interest in this land for $100,000 (the entire consideration being paid by Hunter). The deed to Hunter and Willa reads as follows: "To Hunger and Willa and their heirs as tenants by the entirety, and not as joint tenants, and not as tenants in common. "On August 1, 2006, Ann sells her remaining interest in the tract of land to Hunter and Brandon, his brother, for $125,000 (Hunter pays $80,000 of the purchase price, and Brandon pays the balance). The deed to Hunter and Brandon provides: "To Hunter and Brandon and their heirs as joint tenants and not as tenants in common. "On August 1, 2007, Hunter, Willa, and Brandon die in a common disaster, and as a consequence, the order of their deaths cannot be established by proof. Hunter's will and Willa's will devise whatever interest in the land in question that is subject to disposition by their wills to their son. Thus, the son owns	mmlu_pro	law
4,008	Assuming the Bohr radius is 0.5292 × 10^-8 cm, what frequency of a light wave has the same wavelength as the Bohr radius?	mmlu_pro	chemistry
1,027	Jones is arrested for driving under the influence of a controlled substance, marijuana. The prosecution wishes to introduce a videotape from a pot party Jones left just before his arrest. The recording shows Jones exhaling a giant cloud of smoke and stating, "that's really great weed, man." Jones testifies on his own behalf, "I'm an honest person. I absolutely did not drive erratically." On cross-examination, the prosecutor asks, "Isn't it true you lied in your divorce trial last year?" If Jones' attorney objects, the court will likely hold the prosecutor's question is	mmlu_pro	law
3,929	A sulfuric acid solution has a density of 1.8 g/ml and is 90% H_2SO_4 by weight. What weight of H_2SO_4, is present in 1000 ml of the solution? What is themolarityof the solution? the normality?	mmlu_pro	chemistry
12,011	A certain medium has a relative permittivity of 25 and a relative permeability of unity. Evaluate (a) the phase velocity of a wave in this medium; (b) the index of refraction of the medium.	mmlu_pro	engineering
8,114	An experiment is to be conducted to determine whether taking fish oil capsules or garlic capsules has more of an effect on cholesterol levels. In past studies it was noted that daily exercise intensity (low, moderate, high) is associated with cholesterol level, but average sleep length (< 5, 5 - 8, > 8 hours) is not associated with cholesterol level. This experiment should be done	mmlu_pro	math
6,088	Your first action following confirmation of cardiac arrest is to:	mmlu_pro	health
11,924	Evaluate the inverse Laplace transform of F(s) if F(s) = [(2s + 4) / (s^2 + 2s + 5)]. Write a generalized Laplace transform pair which can be added to a transform table to transform func-tions of this type.	mmlu_pro	engineering
458	The Jones House Furnishings Store purchased the articles shown on the invoice below from the Howard Hardware Company on August 3. The list price of the entire purchase is $165.06. This was discounted at 8% and 5% to get the net price of $144.27. Payment of this amount has the discount terms of (3/10) and (n/60). (a) How much will Jones Furnishings pay if it pays on August 12? (b) What will the payment be if it is made on August 14? INVOICE Frank JonesBuffalo, N.Y., August 3, 19__ Jones House Furnishings Store St. Louis, Missouri Boughtof:THE HOWARD HARDWARE COMPANY Terms:BUFFALO, NEW YORK 14202 3/10, n/60 3(1/4) doz. Strap Hinges No. S. H. 92 @$8.28 $ 26.91 18 doz. Carriage Bolts No. C. B. 1337 @5.65 101.70 9 doz. Pkg. (1/4) Rivers No. W. B. 30 @1.45 13.05 15 doz. Pkg. Steel Rivers No. F. S. 17 @1.56 23.40 $165.06 Less 8% and 5% 20.79 $144.27	mmlu_pro	business
502	What type of media helps advertisers demonstrate the benefits of using a particular product and can bring life and energy to an advertiser's message?	mmlu_pro	business
936	A defendant, an indigent, was arrested and charged with attempted murder. The defendant, who had a history of psychiatric problems, had been diagnosed as being paranoid schizophrenic. The defendant was represented by a court-appointed attorney. In trying to prepare for trial, the attorney met with the defendant on numerous occasions. The attorney, however, found it difficult to communicate with the defendant, who, due to his paranoia, distrusted the attorney and believed he was working with the prosecution to convict him. The defendant was subsequently convicted. After the defendant was sentenced, the attorney filed an appeal seeking to overturn the conviction and have a new trial ordered. The appeal, in part, challenged the constitutionality of a state statute that placed the burden of proof on the defendant by requiring him to prove mental incompetency by clear and convincing evidence. In addition, the appeal claimed that the attorney was unable to provide adequate representation because there was a failure of communication between the defendant and his attorney. The appeal will most likely be	mmlu_pro	law
10,007	Count Rumford observed that using cannon boring machinery a single horse could heat $11.6 \mathrm{~kg}$ of ice water $(T=273 \mathrm{~K})$ to $T=355 \mathrm{~K}$ in 2.5 hours. Assuming the same rate of work, how high could a horse raise a $225 \mathrm{~kg}$ weight in 2.5 minutes? Assume the heat capacity of water is $4.18 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~g}^{-1}$.	mmlu_pro	physics
7,188	What is the basic principle of the commercial loan theoryof banking ?	mmlu_pro	economics
3,855	Find the pH of 0.10 MHOAcsolution that has 0.20 MNaOAc dissolved in it. The dissociation constant ofHOAcis 1.75 × 10^-5.	mmlu_pro	chemistry
7,877	Suppose that $2 \mathrm{~J}$ of work is needed to stretch a spring from its natural length of $30 \mathrm{~cm}$ to a length of $42 \mathrm{~cm}$. How far beyond its natural length will a force of $30 \mathrm{~N}$ keep the spring stretched?	mmlu_pro	math
9,424	When an increase in speed doubles the kinetic energy of a moving body its momentum	mmlu_pro	physics
4,064	It has been suggested that a 10° rise in temperature results in a twofold response in the rate of a chemical reaction. What is the implied activation energy at 27°C? ; at 1000°C?	mmlu_pro	chemistry
3,699	2.000picogram(pg) of ^33P decays by (^0 _-1)\beta emission to 0.250 pg in 75.9 days. Find the half-life of ^33P.	mmlu_pro	chemistry
3,945	At normal body temperature, 37°C (98.6°F), the ionization constant of water,K_w, is 2.42 × 10^-14 moles^2/liter^2. A physician injects a neutral saline solution into a patient. What will be the pH of this solution when it has come into thermal equilibrium with the patient's body?	mmlu_pro	chemistry
5,940	An example of a categorical grant would be	mmlu_pro	other
1,879	A college student and a man got into a fight at a bar while playing pooi. The college student allegedly started the fight when he struck the man in the head with a pool cue after the man sank a game-winning shot. At the college student's trial for assault, the prosecution called one of the college student's classmates to testify. The classmate was not at the bar during the fight. The classmate offered to testify that the next day at class, he approached the college student and said, "It was wrong of you to start a fight with the man over a game of pool," at which point, the college student bowed his head and walked away. The classmate's testimony is	mmlu_pro	law
8,142	A group of friends go out to lunch. d people buy salad and p people buy soup. Each salad costs $3.99 and each soup costs $2.99. Write an expression for the total costs of the soup and salads.	mmlu_pro	math
5,845	Holt Co. discovered that in the prior year it failed to report $40000 of depreciation related to a newly constructed building. The depreciation was computed correctly for tax purposes. The tax rate for the current year was 20%. How should Holt report the correction of error in the current year?	mmlu_pro	other
2,324	Discuss three contrasting explanations of the phenomenon ofanxiety.	mmlu_pro	psychology
1,781	Which of the following offers for the sale of widgets is not enforceable if the seller changes his mind prior to acceptance?	mmlu_pro	law
1,839	An athlete hoped to sign a contract with a professional baseball team to play baseball. He had succeeded in arranging for a tryout at the baseball team's training facilities in a neighboring state. Short on funds and needing a way to get to the training facilities, the athlete approached his friend and said, "If you will drive me to and from the baseball team's training facilities for my tryout and pay for our housing and meal expenses during our stay, I will assign to you 10 percent of my first-year earnings. " The friend agreed and drove the athlete to the training facilities. After the tryout, the baseball team offered the athlete a contract to play baseball for the team at $100,000 per year. When the friend asked when he would be receiving his 10 percent, the athlete replied that $10,000 was much more than the friend deserved and he would pay the friend $1,000 for his efforts. The friend then filed suit to enforce the assignment. If the court holds the assignment unenforceable, the most applicable legal principle would be	mmlu_pro	law
6,276	Additional dietary protein may:	mmlu_pro	health
7,275	In oligopoly we have a "few" firms and hence we do not reap allthe benefits of perfect competition. The other side of the coinis an industry in which there are an excessive number ofsellers. Explain the consequences of this situation.	mmlu_pro	economics
3,715	The symbol for antimony is	mmlu_pro	chemistry
8,925	In Canada in 2014, the average wholesale price of soybeans was $0.24 per pound. In 2015, the average wholesale price of soybeans was $0.16 per pound. If a retailer purchased 20,000 pounds of soybeans in 2014 and in 2015, what was the percent change in the retailer’s expenses from 2014 to 2015?	mmlu_pro	math
2,060	List and describe some environmental factors, excluding teratogens, that affect prenatal development.	mmlu_pro	psychology
9,787	Find the change in volume of an aluminum sphere of 5.0-cm radius when it is heated from 0 to 300° C.	mmlu_pro	physics
11,715	A shaft distributes mechanical power of 160 hp at a speed of 400 rpm. It is subjected to sudden loading and heavy shock conditions with a maximum bending moment of 32,000 lbs-in. Assuming that the shaft has a keyway and considering the ASME code, calculate the suitable diameter for the shaft.	mmlu_pro	engineering
8,980	A simple random sample is defined by	mmlu_pro	math
7,614	If GNP = $2,000 billion and the velocity of money is 4, what isthe money supply?	mmlu_pro	economics
10,058	The second law of thermodynamics tells us that heat doesn’t flow from	mmlu_pro	physics
6,051	Which of the following is a function of biotin?	mmlu_pro	health
4,905	Which of the following sites has monumental earthworks with concentric ridges in a semicircle that date from around 3,500 years ago?	mmlu_pro	history
7,332	Suppose the FED buys $100,000 of government bonds from a commercial bank. What will be the effect of this purchase on the money supply, if the re-quired reserve ratio is 10%, if banks maintain no excess reserves, and if there is no change in the public's currency holdings?	mmlu_pro	economics
10,852	According to Rawls, the two parts of his theory:	mmlu_pro	philosophy
3,860	A laboratory analyst puts Fehling solution in a test tube and then adds the urine of a diabetic which contains some sugar. On heating, what red copper compound precipitates?	mmlu_pro	chemistry
7,366	When a monopolist has maximized profit,	mmlu_pro	economics
6,682	A 22-year-old male presents to the office with a 5-day history of diarrhea after completing his third course of antibiotics for mastoiditis. Physical examination reveals vague generalized abdominal pain on palpation. Culture on hektoen enteric agar is positive. The most likely etiologic agent causing the diarrhea is	mmlu_pro	health
4,772	This question refers to the following information. The city of Ghana consists of two towns. One is inhabited by Muslims and has twelve mosques, salaried imams and muezzins, and jurists and scholars. In the environs are wells with sweet water, from which they drink and with which they grow vegetables. . . . The king's interpreters, the official in charge of his treasury and the majority of his ministers are Muslims. Only royalty may wear sewn clothes. All other people wear robes of cotton, silk, or brocade, according to their means. . . . The king adorns himself like a woman, wearing necklaces round his neck and bracelets on his forearms. . . . He sits . . . in a domed pavilion around which stand ten horses. When people who profess the same religion as the king approach him they fall on their knees and sprinkle dust on their heads, for this is their way of greeting him. As for the Muslims, they greet him only by clapping their hands. [The people's] religion is paganism and the worship of idols. . . . On every donkey-load of salt when it is brought into the country their king levies one golden dinar, and two dinars when it is sent out. From a load of copper the king's due is five mithqals, and from a load of other goods ten mithqals. . . . The nuggets found in all the mines of his country are reserved for the king, only this gold dust being left for the people. But for this the people would accumulate gold until it lost its value. Beyond this country lies another called Malal, the king of which was sincerely attached to Islam, while the common people of his kingdom remained polytheists. Since then their rulers have been given the title of al-musulmani . —The Book of Routes and Realms , by Abu Ubaydallah al-Bakri, eleventh-century Muslim historian and geographer What evidence is there in the passage that Ghanians were engaged, directly or indirectly, in trade with Asia?	mmlu_pro	history
11,769	Polystyrene has a relative permittivity of 2.7. If a wave is incident at an angle of\texttheta_i= 30° from air onto polystyrene, calculate the angle if transmission\texttheta_tInterchange polystyrene and air and repeat the calculation.	mmlu_pro	engineering
2,834	Consider that in humans red-green colorblindness is controlled by a recessive X-linked gene, c. Assume that a normal-visioned woman, whose father was colorblind, marries a normal-visioned man. What is the probability that their first child will be colorblind?	mmlu_pro	biology
1,334	A 12-year-old boy decided to play a practical joke. Knowing that his parents were giving a dinner party that evening, the boy filled a bucket with ice-cold water and balanced it on the partially open door of the guest bedroom, thinking that his father would take the guests' coats there to put them on the bed. The boy then went off to play at a friend's house. The boy's father decided to keep all the guests' coats in the hall closet instead of putting them in the guest bedroom. Later that evening, one of the guests mistakenly wandered into the guest bedroom while searching for a bathroom. As the guest opened the door, the bucket fell and hit his head, causing a severe cut that required a dozen stitches. If the guest sues the boy for negligence, the most likely result is	mmlu_pro	law
9,927	In an experiment designed to study the photoelectric effect, it is observed that low-intensity visible light of wavelength 550 nm produced no photoelectrons. Which of the following best describes what would occur if the intensity of this light were increased dramatically?	mmlu_pro	physics
2,454	A community bank consists of four branch offices with approximately 60 employees each. The general management would like to institute 2 health risk-reduction program by encouraging weight loss and smoking cessation among the employees. Which of the following programs would be most effective	mmlu_pro	psychology
2,276	In a cross-sectional study designed to assess the effects of age on reaction time, you have adults belonging to different age groups respond to visual stimuli on a computer screen. A colleague suggests that the results of your study might be confounded by the fact that older participants may have less experience using a computer than do younger participants. This potential source of error is best described as a:	mmlu_pro	psychology
4,477	How many moles of Al_2 O_3 can be formed when a mixture of 0.36 moles of aluminum and 0.36 moles of oxygen is ignited? Which substance and how much of it is in excess of that required? 4Al + 3O_2 \rightarrow 2Al_2 O_3	mmlu_pro	chemistry
4,599	Potassium-40 is a minor isotope found in naturally occurring potassium. It is radioactive and can be detected on simple radiation counters. How many protons, neutrons, and electrons does potassium-40 have when it is part of K2SO4?	mmlu_pro	chemistry
11,783	For r(t) = [ln(t^3 + 1), e^-2t, t^2], find 1) (dr/dt) 2)\|\|(dr/dt)\|\| 3) [(d^2r) / (dt^2)] 4)\|\|[(d^2r) / (dt^2)]\|\| at t = 0.	mmlu_pro	engineering
4,767	This question refers to the following information. "I was once a tool of oppression And as green as a sucker could be And monopolies banded together To beat a poor hayseed like me. "The railroads and old party bosses Together did sweetly agree; And they thought there would be little trouble In working a hayseed like me. . . ." —"The Hayseed" Which of the following is an accomplishment of the political movement that was organized around sentiments similar to the one in the song lyrics above?	mmlu_pro	history
2,371	List and describe the important methods of investigation in psychology.	mmlu_pro	psychology
8,688	A veterinarian holds a cat and steps on a scale. The scale reads 157.8 lb. The veterinarian weighs 148.3 lb alone. Which is the best estimate for the weight of the cat?	mmlu_pro	math
7,508	A student eats 3 slices of pizza while studying for his Economics exam. The marginal utility of the first slice of pizza is 10 utils, the second slice is 7 utils, and the third slice is 3 utils. Which of the statements below holds true with the above data?	mmlu_pro	economics
10,561	A and B are two events. If P(A, B) decreases while P(A) increases, which of the following is true?	mmlu_pro	computer science
10,455	K-fold cross-validation is	mmlu_pro	computer science
2,697	Persons who have work-related accidents tend to	mmlu_pro	psychology
4,306	Hydrogen peroxide solution for hair bleaching is usually prepared by mixing 5.0 g of hydrogen peroxide (H_2O_2, molecular weight = 34 g/mole) per 100 ml of solution. What is themolarityof this solution?	mmlu_pro	chemistry
2,448	You are subpoenaed to appear at a deposition to testify about a former client of yours. During the deposition, the attorney for the opposing party asks you to provide confidential client information. You should:	mmlu_pro	psychology
9,132	Sir Lancelot, who weighs 800 N, is assaulting a castle by climbing a uniform ladder that is 5.0 m long and weighs 180 N. The bottom of the ladder rests on a ledge and leans across the moat in equilibrium against a frictionless, vertical castle wall. The ladder makes an angle of with the horizontal. Lancelot pauses onethird of the way up the ladder. Find the magnitude of the contact force on the base of the ladder. (Unit: N)	mmlu_pro	physics
4,659	Calculate C_P - C_V for water at 40°C given that the coefficient of thermal expansion of water is 385.30 × 10^-6 K^-1, and the com-pressibility is 44.82 × 10^-6atm^-1. The density of water is .9922187 × 10^3 kg m^-3.	mmlu_pro	chemistry
8,162	Find the sum of all integers $k$ such that $\binom{23}{4} + \binom{23}{5} = \binom{24}{k}$.	mmlu_pro	math
2,903	The four-legged land vertebrates (theamphibia, reptiles, birds and mammals) are placed together in thesuperclass Tetrapoda. Which animal was the firsttetrapodand what did it give rise to?	mmlu_pro	biology
10,994	Little argues that we should accept a prerogative on the part of mothers to end a pregnancy until the fetus is a person because	mmlu_pro	philosophy
8,146	A sporting goods store is offering a 10% discount on in-line skates that normally cost $110.99. How much will the in-line skates cost with the discount, not including tax?	mmlu_pro	math
7,865	In how many ways can 7 people be seated at 5 identical round tables? Each table must have at least 1 person seated.	mmlu_pro	math
3,133	Consider the following three traits in the fruit fly, Drosophila melanogaster , each controlled by a single pair of contrasting genes exhibiting complete dominance: wing length bodycolor eyecolor long wings = L gray body = B dull red dyes = R short wings = I black body = b brown eyes = r Assume that each pair of genes is located in a different pair of chromosomes (i.e., independent gene pairs). In a cross between two flies heterozygous for each pair of genes, what is the probability that the first adult fly emerging is short-winged , gray-bodied, and red-eyed?	mmlu_pro	biology
994	In 1888, a landowner owned a dairy farm. The landowner conveyed this real property to his son in1938. In 1953, the son conveyed the dairy farm to his friend. This deed was not recorded until after the son's death in 1957. In 1956, the son mortgaged the dairy farm to the bank. The mortgage instrument, which was recorded in 1956, recited that it was subordinate to a mortgage on the same land given by the son to an investor in 1936 and recorded in 1936. In that instrument the son purported to grant the investor a mortgage on the dairy farm. In 1979, the friend conveyed the dairy farm to a farmer. This deed was duly recorded, but did not mention any mortgage. In 2008, a buyer entered into an agreement with the farmer, whereby the farmer would convey the dairy farm in fee simple to the buyer for the sum of $75,000. The closing date was set for January 15, 2009. All of the deeds mentioned in the aforementioned transactions are general warranty deeds. In addition, this jurisdiction has a notice-type recording statute and follows a title theory for mortgages. On January 15, 2009, the sale of the dairy farm is finalized and the buyer paid the farmer $75,000. The fanner executed a general warranty deed. The deed contains the following covenants of title:(1) Covenant for seisin. (2) Covenant of the right to convey. (3) Covenant against encumbrances. After the buyer takes possession of the dairy farm, he learns of the son investor 1936 mortgage, which was not satisfied, and seeks monetary damages for breach of the covenant against encumbrances. Judgment should be for	mmlu_pro	law
5,308	As of 2019, about what share of electricity came from fossil fuels in the United States?	mmlu_pro	other
4,418	The mass of an electron is 9.109 × 10^-28 g . What is the atomic weight of electrons?	mmlu_pro	chemistry
10,309	The flywheel of a cutting machine has a mass of 62.5 slugs and a radius of gyration of 3 ft. At the beginning of the cutting stroke it has a rotational speed of 120 rev\bulletmin^-1, and at the end a speed of 90 rev\bulletmin^-1. If it cuts in a 6-in. stroke, what is the average cutting force exerted?	mmlu_pro	physics
2,123	Define paired-associate learning and the methods it uses.	mmlu_pro	psychology
1,949	A retailer brought a federal diversity action against a wholesaler, alleging breach of contract and fraudulent misrepresentation. After the parties presented their evidence at trial, the court instructed the jury on the law. Neither party filed a motion for judgment as a matter of law before the case went to the jury. The jury found for the retailer on both claims. After the court entered judgment on the verdict, the wholesaler moved for a new trial and for judgment as a matter of law, arguing that the evidence was insufficient to support the jury verdict on either claim. The court acknowledged that there had been problems with some of the evidence, but it denied the motions. The wholesaler appealed, challenging the sufficiency of the evidence. Should the appellate court consider the wholesaler's challenge?	mmlu_pro	law
560	Ted Logan, as a result of a recent illness, spent 72 days in a hospital at $52 a day and 30 days in a convalescent home at $13 a day. After returning home, he had a visiting nurse calling on him three times a week for ten weeks at $12 a call. In addition, he had doctor's bills totaling $1335. Mr. Logan is covered by Medicare hospitalization and medical insurance. The coverage he is entitled to is listed below: Medicare Coverage Schedule Type of Expense Coverage 1. Hospitalization $0 for first $72 of expense, Up to $75 per day for up to 60 days thereafter, and up to $34 per day thereafter. 2. Convalescent home Up to $15 per day for days 1-20 and up to $4.50 per day thereafter 3. Visiting nurse service Up to $20 per visit 4. Doctor's service 80% of the first $1275. What are Mr. Logan's total medical expenses? How much of them will Medicare pay? How much must Mr. Logan pay?	mmlu_pro	business
10,608	Suppose the codeword that we use to describe a random variable X always starts with a symbol chosen from the set {7, 8, 9} , followed by binary digits {0, 1}. Thus we have a ternary code for the first symbol and binary thereafter. Give the optimal uniquely decodeable code (minimum expected number of symbols) for the probability distribution $p = (16/69, 15/69, 12/69, 10/69, 8/69, 8/69)$.	mmlu_pro	computer science
5,228	As of 2017, the share of GDP spent on the military by the United States is about	mmlu_pro	other
1,877	A repairman repaired damaged electrical power lines and replaced old, worn-out equipment whenever necessary for the local municipal electrical company. After a violent tornado had ripped through the city, the electrical company was busily trying to restore electrical power to its customers. The morning after the storm, the repairman was perched on a ladder trying to repair a high-voltage power line. As he was removing the cover of the transformer box, the ladder suddenly slipped on the wet ground, even though it had been properly fixed into position. The repairman struggled to maintain his balance and, luckily, the ladder came to rest against the transformer box. A pedestrian, who was walking on the street below, saw the repairman's predicament and began to climb the ladder to aid him. As the pedestrian was ascending the ladder, his foot slipped, and he fell to the ground. His fall caused the ladder to jar loose the transformer box, which in turn sent the repairman falling to the pavement. The repairman and the pedestrian both suffered serious injuries. If the pedestrian asserts a claim against the electrical company for his injuries, he will most likely	mmlu_pro	law
9,597	Two homogeneous cylinders made of the same material rotate about their own axes at the same angular velocity \cyrchar\cyromega. What is the ratio between their kinetic energies if the radius of one cylinder is twice the radius of the other?	mmlu_pro	physics
9,858	One of the tubes of a Rayleighrefractometeris filled with air, the other is evacuated. Then the second tube is filled with air at the same temperature and pressure as the first tube. During this process 98 fringes are seen to pass the field of view. What is the index of refraction of the air if sodium light is used and the tubes are each 20 cm long?	mmlu_pro	physics
5,865	In what ways did strategic circumstances have an effect on environmental security perspectives?	mmlu_pro	other
10,764	The stack is memory for storing	mmlu_pro	computer science
10,081	An image is produced by an object 1 m in front of a con-cave mirror whose radius of curvature is 30 cm. It is required to move the image 15 cm farther away from the mirror. How far and in which direction should the object be moved in order to accomplish this?	mmlu_pro	physics
8,027	Use the equation below to answer the question. 14 × 3 = 42 Which statement correctly interprets the expression?	mmlu_pro	math
4,213	The Russell-Saunders coupling of the angularmomenta of two atomicorbitalsgives rise to a quantum number L in which all the angular quantum numbers,l_i, are combined vectorially. That is, L = l_1 + l_2 , l_1 + l2- 1, ... , \vertl1- l_2\vert What will be the values of L when a p and a d electron in-teract?	mmlu_pro	chemistry
10,469	Explain briefly the background and applications of BASIC computer language.	mmlu_pro	computer science
5,857	Which type of writing employs the pyramid structure?	mmlu_pro	other
3,213	Targeting of a newly synthesized protein is most likely to require two different signal peptides for which of the following destinations?	mmlu_pro	biology
1,300	Assume this question takes place in a "lien theory" state. A woman and her co-habiting partner share a property as joint tenants with the right of survivorship. He has run up debts that he did not tell her about, and so he uses his interest in the property to secretly get a mortgage from the bank. When he dies, the bank attempts to execute on the mortgage. Can it do so? Apply the majority view on this issue.	mmlu_pro	law
7,372	An ARMA(p,q) (p, q are integers bigger than zero) model will have	mmlu_pro	economics
7,907	The mean daily demand for bread at a popular bakery is 2,500 loaves, with a standard deviation of 225 loaves. Every morning the bakery bakes 3,000 loaves. What is the probability that today it will run out of bread? Assume that the mean daily demand for bread at this bakery is normally distributed.	mmlu_pro	math
3,502	Suppose you were given a cage full of small, rat-like animals from the Rocky Mountain region and another cage full of similar animals from the Appalachian Mountains. How would you determine if the two groups were of the same or different species?	mmlu_pro	biology
208	You are asked to determine the price of a European put option on a stock. Assuming the Black-Scholes framework holds, you are given: (i) The stock price is $100. (ii) The put option will expire in 6 months. (iii) The strike price is $98. (iv) The continuously compounded risk-free interest rate is r = 0.055. (v) δ = 0.01 (vi) σ = 0.50. What is the price of the put option?	mmlu_pro	business
12,154	Find the homogeneous solution to a differential equation for thevoltagev_C(t) across a (1 / 2)F capacitor in a series RLC circuitwhere R = 4\Omega, L = 4H,i_L(0) = (1 / 4) A, andv_C(0) = 0.	mmlu_pro	engineering

8,304

A survey shows that a mayoral candidate is gaining votes at a rate of 2000t + 1000 votes per day, where t is the number of days since she announced her candidacy. How many supporters will the candidate have after 60 days, assuming that she had no supporters at t = 0?

mmlu_pro

math

7,705

Given the probabilities P(A) = 0.3 and P(B) = 0.2, what is the probability of the union P(A ∪ B) if A and B are mutually exclusive? If A and B are independent? If B is a subset of A?

mmlu_pro

math

3,909

A sample of $255 \mathrm{mg}$ of neon occupies $3.00 \mathrm{dm}^3$ at $122 \mathrm{K}$. Use the perfect gas law to calculate the pressure of the gas.

mmlu_pro

chemistry

2,590

Which of the following kinds of therapies would most likely be used by a somatic therapist?

mmlu_pro

psychology

1,464

Ann owns a tract of land. On August 1,2005, Ann sells to Hunter and Willa, a husband and wife, an undivided one-half interest in this land for $100,000 (the entire consideration being paid by Hunter). The deed to Hunter and Willa reads as follows: "To Hunger and Willa and their heirs as tenants by the entirety, and not as joint tenants, and not as tenants in common. "On August 1, 2006, Ann sells her remaining interest in the tract of land to Hunter and Brandon, his brother, for $125,000 (Hunter pays $80,000 of the purchase price, and Brandon pays the balance). The deed to Hunter and Brandon provides: "To Hunter and Brandon and their heirs as joint tenants and not as tenants in common. "On August 1, 2007, Hunter, Willa, and Brandon die in a common disaster, and as a consequence, the order of their deaths cannot be established by proof. Hunter's will and Willa's will devise whatever interest in the land in question that is subject to disposition by their wills to their son. Thus, the son owns

mmlu_pro

law

4,008

Assuming the Bohr radius is 0.5292 × 10^-8 cm, what frequency of a light wave has the same wavelength as the Bohr radius?

mmlu_pro

chemistry

1,027

Jones is arrested for driving under the influence of a controlled substance, marijuana. The prosecution wishes to introduce a videotape from a pot party Jones left just before his arrest. The recording shows Jones exhaling a giant cloud of smoke and stating, "that's really great weed, man." Jones testifies on his own behalf, "I'm an honest person. I absolutely did not drive erratically." On cross-examination, the prosecutor asks, "Isn't it true you lied in your divorce trial last year?" If Jones' attorney objects, the court will likely hold the prosecutor's question is

mmlu_pro

law

3,929

A sulfuric acid solution has a density of 1.8 g/ml and is 90% H_2SO_4 by weight. What weight of H_2SO_4, is present in 1000 ml of the solution? What is themolarityof the solution? the normality?

mmlu_pro

chemistry

12,011

A certain medium has a relative permittivity of 25 and a relative permeability of unity. Evaluate (a) the phase velocity of a wave in this medium; (b) the index of refraction of the medium.

mmlu_pro

engineering

8,114

An experiment is to be conducted to determine whether taking fish oil capsules or garlic capsules has more of an effect on cholesterol levels. In past studies it was noted that daily exercise intensity (low, moderate, high) is associated with cholesterol level, but average sleep length (< 5, 5 - 8, > 8 hours) is not associated with cholesterol level. This experiment should be done

mmlu_pro

math

6,088

Your first action following confirmation of cardiac arrest is to:

mmlu_pro

health

11,924

Evaluate the inverse Laplace transform of F(s) if F(s) = [(2s + 4) / (s^2 + 2s + 5)]. Write a generalized Laplace transform pair which can be added to a transform table to transform func-tions of this type.

mmlu_pro

engineering

458

The Jones House Furnishings Store purchased the articles shown on the invoice below from the Howard Hardware Company on August 3. The list price of the entire purchase is $165.06. This was discounted at 8% and 5% to get the net price of $144.27. Payment of this amount has the discount terms of (3/10) and (n/60). (a) How much will Jones Furnishings pay if it pays on August 12? (b) What will the payment be if it is made on August 14? INVOICE Frank JonesBuffalo, N.Y., August 3, 19__ Jones House Furnishings Store St. Louis, Missouri Boughtof:THE HOWARD HARDWARE COMPANY Terms:BUFFALO, NEW YORK 14202 3/10, n/60 3(1/4) doz. Strap Hinges No. S. H. 92 @$8.28 $ 26.91 18 doz. Carriage Bolts No. C. B. 1337 @5.65 101.70 9 doz. Pkg. (1/4) Rivers No. W. B. 30 @1.45 13.05 15 doz. Pkg. Steel Rivers No. F. S. 17 @1.56 23.40 $165.06 Less 8% and 5% 20.79 $144.27

mmlu_pro

business

502

What type of media helps advertisers demonstrate the benefits of using a particular product and can bring life and energy to an advertiser's message?

mmlu_pro

business

936

A defendant, an indigent, was arrested and charged with attempted murder. The defendant, who had a history of psychiatric problems, had been diagnosed as being paranoid schizophrenic. The defendant was represented by a court-appointed attorney. In trying to prepare for trial, the attorney met with the defendant on numerous occasions. The attorney, however, found it difficult to communicate with the defendant, who, due to his paranoia, distrusted the attorney and believed he was working with the prosecution to convict him. The defendant was subsequently convicted. After the defendant was sentenced, the attorney filed an appeal seeking to overturn the conviction and have a new trial ordered. The appeal, in part, challenged the constitutionality of a state statute that placed the burden of proof on the defendant by requiring him to prove mental incompetency by clear and convincing evidence. In addition, the appeal claimed that the attorney was unable to provide adequate representation because there was a failure of communication between the defendant and his attorney. The appeal will most likely be

mmlu_pro

law

10,007

Count Rumford observed that using cannon boring machinery a single horse could heat $11.6 \mathrm{~kg}$ of ice water $(T=273 \mathrm{~K})$ to $T=355 \mathrm{~K}$ in 2.5 hours. Assuming the same rate of work, how high could a horse raise a $225 \mathrm{~kg}$ weight in 2.5 minutes? Assume the heat capacity of water is $4.18 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~g}^{-1}$.

mmlu_pro

physics

7,188

What is the basic principle of the commercial loan theoryof banking ?

mmlu_pro

economics

3,855

Find the pH of 0.10 MHOAcsolution that has 0.20 MNaOAc dissolved in it. The dissociation constant ofHOAcis 1.75 × 10^-5.

mmlu_pro

chemistry

7,877

Suppose that $2 \mathrm{~J}$ of work is needed to stretch a spring from its natural length of $30 \mathrm{~cm}$ to a length of $42 \mathrm{~cm}$. How far beyond its natural length will a force of $30 \mathrm{~N}$ keep the spring stretched?

mmlu_pro

math

9,424

When an increase in speed doubles the kinetic energy of a moving body its momentum

mmlu_pro

physics

4,064

It has been suggested that a 10° rise in temperature results in a twofold response in the rate of a chemical reaction. What is the implied activation energy at 27°C? ; at 1000°C?

mmlu_pro

chemistry

3,699

2.000picogram(pg) of ^33P decays by (^0 _-1)\beta emission to 0.250 pg in 75.9 days. Find the half-life of ^33P.

mmlu_pro

chemistry

3,945

At normal body temperature, 37°C (98.6°F), the ionization constant of water,K_w, is 2.42 × 10^-14 moles^2/liter^2. A physician injects a neutral saline solution into a patient. What will be the pH of this solution when it has come into thermal equilibrium with the patient's body?

mmlu_pro

chemistry

5,940

An example of a categorical grant would be

mmlu_pro

other

1,879

A college student and a man got into a fight at a bar while playing pooi. The college student allegedly started the fight when he struck the man in the head with a pool cue after the man sank a game-winning shot. At the college student's trial for assault, the prosecution called one of the college student's classmates to testify. The classmate was not at the bar during the fight. The classmate offered to testify that the next day at class, he approached the college student and said, "It was wrong of you to start a fight with the man over a game of pool," at which point, the college student bowed his head and walked away. The classmate's testimony is

mmlu_pro

law

8,142

A group of friends go out to lunch. d people buy salad and p people buy soup. Each salad costs $3.99 and each soup costs $2.99. Write an expression for the total costs of the soup and salads.

mmlu_pro

math

5,845

Holt Co. discovered that in the prior year it failed to report $40000 of depreciation related to a newly constructed building. The depreciation was computed correctly for tax purposes. The tax rate for the current year was 20%. How should Holt report the correction of error in the current year?

mmlu_pro

other

2,324

Discuss three contrasting explanations of the phenomenon ofanxiety.

mmlu_pro

psychology

1,781

Which of the following offers for the sale of widgets is not enforceable if the seller changes his mind prior to acceptance?

mmlu_pro

law

1,839

An athlete hoped to sign a contract with a professional baseball team to play baseball. He had succeeded in arranging for a tryout at the baseball team's training facilities in a neighboring state. Short on funds and needing a way to get to the training facilities, the athlete approached his friend and said, "If you will drive me to and from the baseball team's training facilities for my tryout and pay for our housing and meal expenses during our stay, I will assign to you 10 percent of my first-year earnings. " The friend agreed and drove the athlete to the training facilities. After the tryout, the baseball team offered the athlete a contract to play baseball for the team at $100,000 per year. When the friend asked when he would be receiving his 10 percent, the athlete replied that $10,000 was much more than the friend deserved and he would pay the friend $1,000 for his efforts. The friend then filed suit to enforce the assignment. If the court holds the assignment unenforceable, the most applicable legal principle would be

mmlu_pro

law

6,276

Additional dietary protein may:

mmlu_pro

health

7,275

In oligopoly we have a "few" firms and hence we do not reap allthe benefits of perfect competition. The other side of the coinis an industry in which there are an excessive number ofsellers. Explain the consequences of this situation.

mmlu_pro

economics

3,715

The symbol for antimony is

mmlu_pro

chemistry

8,925

In Canada in 2014, the average wholesale price of soybeans was $0.24 per pound. In 2015, the average wholesale price of soybeans was $0.16 per pound. If a retailer purchased 20,000 pounds of soybeans in 2014 and in 2015, what was the percent change in the retailer’s expenses from 2014 to 2015?

mmlu_pro

math

2,060

List and describe some environmental factors, excluding teratogens, that affect prenatal development.

mmlu_pro

psychology

9,787

Find the change in volume of an aluminum sphere of 5.0-cm radius when it is heated from 0 to 300° C.

mmlu_pro

physics

11,715

A shaft distributes mechanical power of 160 hp at a speed of 400 rpm. It is subjected to sudden loading and heavy shock conditions with a maximum bending moment of 32,000 lbs-in. Assuming that the shaft has a keyway and considering the ASME code, calculate the suitable diameter for the shaft.

mmlu_pro

engineering

8,980

A simple random sample is defined by

mmlu_pro

math

7,614

If GNP = $2,000 billion and the velocity of money is 4, what isthe money supply?

mmlu_pro

economics

10,058

The second law of thermodynamics tells us that heat doesn’t flow from

mmlu_pro

physics

6,051

Which of the following is a function of biotin?

mmlu_pro

health

4,905

Which of the following sites has monumental earthworks with concentric ridges in a semicircle that date from around 3,500 years ago?

mmlu_pro

history

7,332

Suppose the FED buys $100,000 of government bonds from a commercial bank. What will be the effect of this purchase on the money supply, if the re-quired reserve ratio is 10%, if banks maintain no excess reserves, and if there is no change in the public's currency holdings?

mmlu_pro

economics

10,852

According to Rawls, the two parts of his theory:

mmlu_pro

philosophy

3,860

A laboratory analyst puts Fehling solution in a test tube and then adds the urine of a diabetic which contains some sugar. On heating, what red copper compound precipitates?

mmlu_pro

chemistry

7,366

When a monopolist has maximized profit,

mmlu_pro

economics

6,682

A 22-year-old male presents to the office with a 5-day history of diarrhea after completing his third course of antibiotics for mastoiditis. Physical examination reveals vague generalized abdominal pain on palpation. Culture on hektoen enteric agar is positive. The most likely etiologic agent causing the diarrhea is

mmlu_pro

health

4,772

This question refers to the following information. The city of Ghana consists of two towns. One is inhabited by Muslims and has twelve mosques, salaried imams and muezzins, and jurists and scholars. In the environs are wells with sweet water, from which they drink and with which they grow vegetables. . . . The king's interpreters, the official in charge of his treasury and the majority of his ministers are Muslims. Only royalty may wear sewn clothes. All other people wear robes of cotton, silk, or brocade, according to their means. . . . The king adorns himself like a woman, wearing necklaces round his neck and bracelets on his forearms. . . . He sits . . . in a domed pavilion around which stand ten horses. When people who profess the same religion as the king approach him they fall on their knees and sprinkle dust on their heads, for this is their way of greeting him. As for the Muslims, they greet him only by clapping their hands. [The people's] religion is paganism and the worship of idols. . . . On every donkey-load of salt when it is brought into the country their king levies one golden dinar, and two dinars when it is sent out. From a load of copper the king's due is five mithqals, and from a load of other goods ten mithqals. . . . The nuggets found in all the mines of his country are reserved for the king, only this gold dust being left for the people. But for this the people would accumulate gold until it lost its value. Beyond this country lies another called Malal, the king of which was sincerely attached to Islam, while the common people of his kingdom remained polytheists. Since then their rulers have been given the title of al-musulmani . —The Book of Routes and Realms , by Abu Ubaydallah al-Bakri, eleventh-century Muslim historian and geographer What evidence is there in the passage that Ghanians were engaged, directly or indirectly, in trade with Asia?

mmlu_pro

history

11,769

Polystyrene has a relative permittivity of 2.7. If a wave is incident at an angle of\texttheta_i= 30° from air onto polystyrene, calculate the angle if transmission\texttheta_tInterchange polystyrene and air and repeat the calculation.

mmlu_pro

engineering

2,834

Consider that in humans red-green colorblindness is controlled by a recessive X-linked gene, c. Assume that a normal-visioned woman, whose father was colorblind, marries a normal-visioned man. What is the probability that their first child will be colorblind?

mmlu_pro

biology

1,334

A 12-year-old boy decided to play a practical joke. Knowing that his parents were giving a dinner party that evening, the boy filled a bucket with ice-cold water and balanced it on the partially open door of the guest bedroom, thinking that his father would take the guests' coats there to put them on the bed. The boy then went off to play at a friend's house. The boy's father decided to keep all the guests' coats in the hall closet instead of putting them in the guest bedroom. Later that evening, one of the guests mistakenly wandered into the guest bedroom while searching for a bathroom. As the guest opened the door, the bucket fell and hit his head, causing a severe cut that required a dozen stitches. If the guest sues the boy for negligence, the most likely result is

mmlu_pro

law

9,927

In an experiment designed to study the photoelectric effect, it is observed that low-intensity visible light of wavelength 550 nm produced no photoelectrons. Which of the following best describes what would occur if the intensity of this light were increased dramatically?

mmlu_pro

physics

2,454

A community bank consists of four branch offices with approximately 60 employees each. The general management would like to institute 2 health risk-reduction program by encouraging weight loss and smoking cessation among the employees. Which of the following programs would be most effective

mmlu_pro

psychology

2,276

In a cross-sectional study designed to assess the effects of age on reaction time, you have adults belonging to different age groups respond to visual stimuli on a computer screen. A colleague suggests that the results of your study might be confounded by the fact that older participants may have less experience using a computer than do younger participants. This potential source of error is best described as a:

mmlu_pro

psychology

4,477

How many moles of Al_2 O_3 can be formed when a mixture of 0.36 moles of aluminum and 0.36 moles of oxygen is ignited? Which substance and how much of it is in excess of that required? 4Al + 3O_2 \rightarrow 2Al_2 O_3

mmlu_pro

chemistry

4,599

Potassium-40 is a minor isotope found in naturally occurring potassium. It is radioactive and can be detected on simple radiation counters. How many protons, neutrons, and electrons does potassium-40 have when it is part of K2SO4?

mmlu_pro

chemistry

11,783

For r(t) = [ln(t^3 + 1), e^-2t, t^2], find 1) (dr/dt) 2)||(dr/dt)|| 3) [(d^2r) / (dt^2)] 4)||[(d^2r) / (dt^2)]|| at t = 0.

mmlu_pro

engineering

4,767

This question refers to the following information. "I was once a tool of oppression And as green as a sucker could be And monopolies banded together To beat a poor hayseed like me. "The railroads and old party bosses Together did sweetly agree; And they thought there would be little trouble In working a hayseed like me. . . ." —"The Hayseed" Which of the following is an accomplishment of the political movement that was organized around sentiments similar to the one in the song lyrics above?

mmlu_pro

history

2,371

List and describe the important methods of investigation in psychology.

mmlu_pro

psychology

8,688

A veterinarian holds a cat and steps on a scale. The scale reads 157.8 lb. The veterinarian weighs 148.3 lb alone. Which is the best estimate for the weight of the cat?

mmlu_pro

math

7,508

A student eats 3 slices of pizza while studying for his Economics exam. The marginal utility of the first slice of pizza is 10 utils, the second slice is 7 utils, and the third slice is 3 utils. Which of the statements below holds true with the above data?

mmlu_pro

economics

10,561

A and B are two events. If P(A, B) decreases while P(A) increases, which of the following is true?

mmlu_pro

computer science

10,455

K-fold cross-validation is

mmlu_pro

computer science

2,697

Persons who have work-related accidents tend to

mmlu_pro

psychology

4,306

Hydrogen peroxide solution for hair bleaching is usually prepared by mixing 5.0 g of hydrogen peroxide (H_2O_2, molecular weight = 34 g/mole) per 100 ml of solution. What is themolarityof this solution?

mmlu_pro

chemistry

2,448

You are subpoenaed to appear at a deposition to testify about a former client of yours. During the deposition, the attorney for the opposing party asks you to provide confidential client information. You should:

mmlu_pro

psychology

9,132

Sir Lancelot, who weighs 800 N, is assaulting a castle by climbing a uniform ladder that is 5.0 m long and weighs 180 N. The bottom of the ladder rests on a ledge and leans across the moat in equilibrium against a frictionless, vertical castle wall. The ladder makes an angle of with the horizontal. Lancelot pauses onethird of the way up the ladder. Find the magnitude of the contact force on the base of the ladder. (Unit: N)

mmlu_pro

physics

4,659

Calculate C_P - C_V for water at 40°C given that the coefficient of thermal expansion of water is 385.30 × 10^-6 K^-1, and the com-pressibility is 44.82 × 10^-6atm^-1. The density of water is .9922187 × 10^3 kg m^-3.

mmlu_pro

chemistry

8,162

Find the sum of all integers $k$ such that $\binom{23}{4} + \binom{23}{5} = \binom{24}{k}$.

mmlu_pro

math

2,903

The four-legged land vertebrates (theamphibia, reptiles, birds and mammals) are placed together in thesuperclass Tetrapoda. Which animal was the firsttetrapodand what did it give rise to?

mmlu_pro

biology

10,994

Little argues that we should accept a prerogative on the part of mothers to end a pregnancy until the fetus is a person because

mmlu_pro

philosophy

8,146

A sporting goods store is offering a 10% discount on in-line skates that normally cost $110.99. How much will the in-line skates cost with the discount, not including tax?

mmlu_pro

math

7,865

In how many ways can 7 people be seated at 5 identical round tables? Each table must have at least 1 person seated.

mmlu_pro

math

3,133

Consider the following three traits in the fruit fly, Drosophila melanogaster , each controlled by a single pair of contrasting genes exhibiting complete dominance: wing length bodycolor eyecolor long wings = L gray body = B dull red dyes = R short wings = I black body = b brown eyes = r Assume that each pair of genes is located in a different pair of chromosomes (i.e., independent gene pairs). In a cross between two flies heterozygous for each pair of genes, what is the probability that the first adult fly emerging is short-winged , gray-bodied, and red-eyed?

mmlu_pro

biology

994

In 1888, a landowner owned a dairy farm. The landowner conveyed this real property to his son in1938. In 1953, the son conveyed the dairy farm to his friend. This deed was not recorded until after the son's death in 1957. In 1956, the son mortgaged the dairy farm to the bank. The mortgage instrument, which was recorded in 1956, recited that it was subordinate to a mortgage on the same land given by the son to an investor in 1936 and recorded in 1936. In that instrument the son purported to grant the investor a mortgage on the dairy farm. In 1979, the friend conveyed the dairy farm to a farmer. This deed was duly recorded, but did not mention any mortgage. In 2008, a buyer entered into an agreement with the farmer, whereby the farmer would convey the dairy farm in fee simple to the buyer for the sum of $75,000. The closing date was set for January 15, 2009. All of the deeds mentioned in the aforementioned transactions are general warranty deeds. In addition, this jurisdiction has a notice-type recording statute and follows a title theory for mortgages. On January 15, 2009, the sale of the dairy farm is finalized and the buyer paid the farmer $75,000. The fanner executed a general warranty deed. The deed contains the following covenants of title:(1) Covenant for seisin. (2) Covenant of the right to convey. (3) Covenant against encumbrances. After the buyer takes possession of the dairy farm, he learns of the son investor 1936 mortgage, which was not satisfied, and seeks monetary damages for breach of the covenant against encumbrances. Judgment should be for

mmlu_pro

law

5,308

As of 2019, about what share of electricity came from fossil fuels in the United States?

mmlu_pro

other

4,418

The mass of an electron is 9.109 × 10^-28 g . What is the atomic weight of electrons?

mmlu_pro

chemistry

10,309

The flywheel of a cutting machine has a mass of 62.5 slugs and a radius of gyration of 3 ft. At the beginning of the cutting stroke it has a rotational speed of 120 rev\bulletmin^-1, and at the end a speed of 90 rev\bulletmin^-1. If it cuts in a 6-in. stroke, what is the average cutting force exerted?

mmlu_pro

physics

2,123

Define paired-associate learning and the methods it uses.

mmlu_pro

psychology

1,949

A retailer brought a federal diversity action against a wholesaler, alleging breach of contract and fraudulent misrepresentation. After the parties presented their evidence at trial, the court instructed the jury on the law. Neither party filed a motion for judgment as a matter of law before the case went to the jury. The jury found for the retailer on both claims. After the court entered judgment on the verdict, the wholesaler moved for a new trial and for judgment as a matter of law, arguing that the evidence was insufficient to support the jury verdict on either claim. The court acknowledged that there had been problems with some of the evidence, but it denied the motions. The wholesaler appealed, challenging the sufficiency of the evidence. Should the appellate court consider the wholesaler's challenge?

mmlu_pro

law

560

Ted Logan, as a result of a recent illness, spent 72 days in a hospital at $52 a day and 30 days in a convalescent home at $13 a day. After returning home, he had a visiting nurse calling on him three times a week for ten weeks at $12 a call. In addition, he had doctor's bills totaling $1335. Mr. Logan is covered by Medicare hospitalization and medical insurance. The coverage he is entitled to is listed below: Medicare Coverage Schedule Type of Expense Coverage 1. Hospitalization $0 for first $72 of expense, Up to $75 per day for up to 60 days thereafter, and up to $34 per day thereafter. 2. Convalescent home Up to $15 per day for days 1-20 and up to $4.50 per day thereafter 3. Visiting nurse service Up to $20 per visit 4. Doctor's service 80% of the first $1275. What are Mr. Logan's total medical expenses? How much of them will Medicare pay? How much must Mr. Logan pay?

mmlu_pro

business

10,608

Suppose the codeword that we use to describe a random variable X always starts with a symbol chosen from the set {7, 8, 9} , followed by binary digits {0, 1}. Thus we have a ternary code for the first symbol and binary thereafter. Give the optimal uniquely decodeable code (minimum expected number of symbols) for the probability distribution $p = (16/69, 15/69, 12/69, 10/69, 8/69, 8/69)$.

mmlu_pro

computer science

5,228

As of 2017, the share of GDP spent on the military by the United States is about

mmlu_pro

other

1,877

A repairman repaired damaged electrical power lines and replaced old, worn-out equipment whenever necessary for the local municipal electrical company. After a violent tornado had ripped through the city, the electrical company was busily trying to restore electrical power to its customers. The morning after the storm, the repairman was perched on a ladder trying to repair a high-voltage power line. As he was removing the cover of the transformer box, the ladder suddenly slipped on the wet ground, even though it had been properly fixed into position. The repairman struggled to maintain his balance and, luckily, the ladder came to rest against the transformer box. A pedestrian, who was walking on the street below, saw the repairman's predicament and began to climb the ladder to aid him. As the pedestrian was ascending the ladder, his foot slipped, and he fell to the ground. His fall caused the ladder to jar loose the transformer box, which in turn sent the repairman falling to the pavement. The repairman and the pedestrian both suffered serious injuries. If the pedestrian asserts a claim against the electrical company for his injuries, he will most likely

mmlu_pro

law

9,597

Two homogeneous cylinders made of the same material rotate about their own axes at the same angular velocity \cyrchar\cyromega. What is the ratio between their kinetic energies if the radius of one cylinder is twice the radius of the other?

mmlu_pro

physics

9,858

One of the tubes of a Rayleighrefractometeris filled with air, the other is evacuated. Then the second tube is filled with air at the same temperature and pressure as the first tube. During this process 98 fringes are seen to pass the field of view. What is the index of refraction of the air if sodium light is used and the tubes are each 20 cm long?

mmlu_pro

physics

5,865

In what ways did strategic circumstances have an effect on environmental security perspectives?

mmlu_pro

other

10,764

The stack is memory for storing

mmlu_pro

computer science

10,081

An image is produced by an object 1 m in front of a con-cave mirror whose radius of curvature is 30 cm. It is required to move the image 15 cm farther away from the mirror. How far and in which direction should the object be moved in order to accomplish this?

mmlu_pro

physics

8,027

Use the equation below to answer the question. 14 × 3 = 42 Which statement correctly interprets the expression?

mmlu_pro

math

4,213

The Russell-Saunders coupling of the angularmomenta of two atomicorbitalsgives rise to a quantum number L in which all the angular quantum numbers,l_i, are combined vectorially. That is, L = l_1 + l_2 , l_1 + l2- 1, ... , \vertl1- l_2\vert What will be the values of L when a p and a d electron in-teract?

mmlu_pro

chemistry

10,469

Explain briefly the background and applications of BASIC computer language.

mmlu_pro

computer science

5,857

Which type of writing employs the pyramid structure?

mmlu_pro

other

3,213

Targeting of a newly synthesized protein is most likely to require two different signal peptides for which of the following destinations?

mmlu_pro

biology

1,300

Assume this question takes place in a "lien theory" state. A woman and her co-habiting partner share a property as joint tenants with the right of survivorship. He has run up debts that he did not tell her about, and so he uses his interest in the property to secretly get a mortgage from the bank. When he dies, the bank attempts to execute on the mortgage. Can it do so? Apply the majority view on this issue.

mmlu_pro

law

7,372

An ARMA(p,q) (p, q are integers bigger than zero) model will have

mmlu_pro

economics

7,907

The mean daily demand for bread at a popular bakery is 2,500 loaves, with a standard deviation of 225 loaves. Every morning the bakery bakes 3,000 loaves. What is the probability that today it will run out of bread? Assume that the mean daily demand for bread at this bakery is normally distributed.

mmlu_pro

math

3,502

Suppose you were given a cage full of small, rat-like animals from the Rocky Mountain region and another cage full of similar animals from the Appalachian Mountains. How would you determine if the two groups were of the same or different species?

mmlu_pro

biology

208

You are asked to determine the price of a European put option on a stock. Assuming the Black-Scholes framework holds, you are given: (i) The stock price is $100. (ii) The put option will expire in 6 months. (iii) The strike price is $98. (iv) The continuously compounded risk-free interest rate is r = 0.055. (v) δ = 0.01 (vi) σ = 0.50. What is the price of the put option?

mmlu_pro

business

12,154

Find the homogeneous solution to a differential equation for thevoltagev_C(t) across a (1 / 2)F capacitor in a series RLC circuitwhere R = 4\Omega, L = 4H,i_L(0) = (1 / 4) A, andv_C(0) = 0.

mmlu_pro

engineering