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12,103
A mine hoist lifts a load of 8.0 tons from a depth of 700 ft. If the speed of the rope is 1500 fpm, attained in 10 sec, calculate the acceptable size of the wire rope to pull the hoist upward.
mmlu_pro
engineering
6,100
The normal human chromosome diploid number is:
mmlu_pro
health
3,923
Find the net dipole moment inDebyesfor each of the following situations: (a) One + 1 and one - 1 ion se-parated by 2 × 10^-8 cm, and (b) one +2 and one - 2 ion separated by 2 × 10^-8 cm. One charge = 4.80 × 10^-10esuand 1 Debye = 1 × 10^-18esu-cm.
mmlu_pro
chemistry
8,813
The probability that a point (x, y) in R^2 is chosen follows a uniform random distribution within the region described by the inequality 0 < |x| + |y| < 1 . What is the probability that 2(x + y) > 1?
mmlu_pro
math
9,961
Find the value of the integral $\int_S \mathbf{A} \cdot d \mathbf{a}$, where $\mathbf{A}=x \mathbf{i}-y \mathbf{j}+z \mathbf{k}$ and $S$ is the closed surface defined by the cylinder $c^2=x^2+y^2$. The top and bottom of the cylinder are at $z=d$ and 0 , respectively.
mmlu_pro
physics
6,238
A 54-year-old woman comes to the emergency department because of severe jaw pain since undergoing a painful dental procedure 1 day ago. The patient was prescribed codeine after the procedure and instructed to take the medication every 4 hours, but she has continued pain despite adherence to this analgesic regimen. Other members of her family also have experienced poor pain control with codeine. Which of the following is the most likely explanation for this therapeutic failure?
mmlu_pro
health
10,815
Use indirect truth tables to determine whether the following argument is valid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.) E ⊃ F G ⊃ ~F / ~G ∨ ~E
mmlu_pro
philosophy
4,470
The activity coefficient \gamma_2 (on the mole fraction scale) of the solutein a certain dilute solution is given by \gamma_2 = e_2^(AX)2, whereA is a constant at constanttempera-ture. Obtain an expressionin terms of A and X_2 for the activity coefficient \gamma_1 (onthe mole fraction scale) of the solvent in this solution.
mmlu_pro
chemistry
4,327
Calculate the equilibrium constant for the reaction at 300°K H_2 + D_2 \rightleftarrows 2HD using the following data Fundamental vibrationѵ(cm^-1) Moment of inertia I(g \bullet cm^2 × 10^40) H2 HD D_2 4371 0.458 3785 0.613 3092 0.919
mmlu_pro
chemistry
2,385
Dr. Harry Holliday, a clinical psychologist, is planning to take a three-week cruise. In terms of his clinical practice, Dr. Holliday’s best course of action would be to:
mmlu_pro
psychology
9,093
A steel rod of length L = 20 cm and cross-sectional area A = 3 cm^2 is heated at one end to T_1 = 300°k while the other end rests in ice. Assuming that heat transmission occurs exclusively through the rod (without losses from the walls), calculate the mass m of the ice melting in time ∆t = 10 min. The thermal conductivity of steel is k = 0.16 cal deg^-1 sec^-1cm^-1.
mmlu_pro
physics
2,349
Donald Super’s _____________ graphically depicts the correspondence between an individual’s life roles and life stages.
mmlu_pro
psychology
4,193
A common rocket propellant is a mixture of one part liquid hydrazine (N_2H_4) as fuel and two parts liquid hydrogen peroxide (H_2O_2) as oxidizer. These reactants are hypergolic, that is, they ignite on contact. The reaction proceeds according to the equation N_2H_4(l) + 2H_2O_2 (l) \rightarrow N_2(g) + 4H_2O(g). If reactants are mixed at 25°C, what is the heat of reaction?
mmlu_pro
chemistry
1,420
A college student initiated a criminal case against his former roommate, claiming the former roommate snuck in and removed his state-of-the-art home theater equipment from his house. The college student took the complaint papers that were approved by the prosecution and filed them with a magistrate court. An ongoing police investigation later determined, however, that the college student was a vengeful person not averse to creating stories, and that he and the former roommate had been arguing over several related issues. They also determined that he never had any quality sound or video equipment. The police dropped the prosecution, and the criminal case was dismissed at the preliminary hearing. When the former roommate filed a civil case against the college student alleging the tort of malicious prosecution, will evidence of the student's reputation for dishonesty be admissible and why?
mmlu_pro
law
4,938
This question refers to the following information. "Yesterday, December 7, 1941—a date which will live in infamy—the United States of America was suddenly and deliberately attacked by naval and air forces of the Empire of Japan. The United States was at peace with that nation and, at the solicitation of Japan, was still in conversation with its Government and its Emperor looking toward the maintenance of peace in the Pacific. Indeed, one hour after Japanese air squadrons had commenced bombing…the Japanese Ambassador to the United States and his colleague delivered to the Secretary of State a formal reply to a recent American message. While this reply stated that it seemed useless to continue the existing diplomatic negotiations, it contained no threat or hint of war or armed attack….The attack yesterday…has caused severe damage to American naval and military forces. Very many American lives have been lost. In addition American ships have been reported torpedoed on the high seas….As Commander-in-Chief of the Army and Navy, I have directed that all measures be taken for our defense." President Franklin D. Roosevelt, radio address, December 8, 1941 Which of the following statements best characterizes the economic consequences of the declaration of war described above?
mmlu_pro
history
8,179
What is the greatest common divisor of $2^{1001}-1$ and $2^{1012}-1$?
mmlu_pro
math
12,248
Water at 340°K and a rate of 4 Kg/hr is required for a certain process. Water, available at 300°K, is to be heated as it passes through a 7mm ID pipe which provides 125 W per meter length of pipe. Determine the length of piping required and the maximum temperature at the exit.
mmlu_pro
engineering
10,763
Statement 1| A U2F USB dongle prevents malware on the user’s computer from stealing the user’s second factor to authenticate as that user even when the user’s computer is turned off. Statement 2| A server using U2F can reliably determine that the user who is attempting to login is indeed behind the computer that sent the login request.
mmlu_pro
computer science
1,664
What is the relationship between the formal sources of international law?
mmlu_pro
law
822
The Weekly Globe has a circulation of 352,579. Its rate is $1.18 per agate line.What is themillinerate?
mmlu_pro
business
5,006
The skulls of the earliest migrants to the New World do not match those of modern Native Americans. This suggests that:
mmlu_pro
history
8,424
Suppose H is a Banach space. Let A be a linear functional on the space H that maps H to H. Suppose operator A satisfies: for all $x\in H$, $||Ax||\geq a ||x||$ for some a>0. If A is not a compact operator on H, Is the dimension of H finite or infinite? Return 1 for finite dimension and 0 for infinite dimension
mmlu_pro
math
7,685
A use of easy money (expansionary) policy by the Fed could result in which of the following?
mmlu_pro
economics
7,424
Which of the following events has no effect on GDP?
mmlu_pro
economics
8,784
What is the value of p in 24 = 2p?
mmlu_pro
math
11,312
(i) (a) A triplex lap-wound armature is used in a 14-pole machine with fourteen brush sets, each spanning three commutator bars. Calculate the number of paths in the armature. (b) Repeat (a) for a triplex wave-wound armature having two such brush sets and 14 poles. (ii) Calculate the generated emf in each of the above problems if the flux per pole is 4.2 × 10^6 lines, the generator speed is 60 rpm, and there are 420 coils on the armature, each coil having 20 turns.
mmlu_pro
engineering
9,017
If $f(x) = 2$ for all real numbers $x$, what is the value of $f(x + 2)$?
mmlu_pro
math
10,991
Select the best translation into predicate logic. Some CEO is wealthier than everyone. (Cx: x is a CEO; Px: x is a person; Wxy: x is wealthier than y)
mmlu_pro
philosophy
9,126
Compared with radiation from the Sun, terrestrial radiation has a lower
mmlu_pro
physics
3,842
0.1 moles of Cu(NO_3)_2 are added to 1.0molesof NH_3 and then diluted to 1000ml. Find the concentration of Cu^2+ formed. K_eq= 8.5 × 10^-13 .
mmlu_pro
chemistry
5,527
What are the three dimensions of intimacy in romantic relationships that outline closeness and sharing?
mmlu_pro
other
1,726
A business purchased a computer from a seller's web site. The purchase form had a prominent hyperlink connection to a page that contained "important additional terms and conditions of sale," but the purchaser did not access that page. The delivered product included the additional terms in writing, along with a bold-lettered notice requiring the purchaser to return the product within 30 days if it did not accept the stated terms and conditions. After 35-days, the business became dissatisfied with the computer, and sued the seller for breach of contract. The seller demanded that the dispute be decided by private arbitration as per the additional terms and conditions to the agreement. Is the purchaser legally bound to participate in arbitration?
mmlu_pro
law
202
According to Belbin (1981) an extroverted and enthusiastic person fits with what role?
mmlu_pro
business
8,472
Simon used 3 pears and 9 apples to make a fruit salad. What was the ratio of the number of pears to the number of apples in the fruit salad?
mmlu_pro
math
12,199
A chamber contains 5 lbm of an ideal gas, initially at a temperature of 100°F. The gas then undergoes a reversible isobaric process during which 500 Btu are added to the gas as heat. Determine the final temperature of the gas, assuming that the following properties of the gas are known. R = 0.0641 Btu/lbm -°R[0.2684 kJ/kg-°K] k = 1.147
mmlu_pro
engineering
8,673
Suppose that the weights of trucks traveling on the interstate highway system are normally distributed. If 70% of the trucks weigh more than 12,000 pounds and 80% weigh more than 10,000 pounds, what are the mean and standard deviation for the weights of trucks traveling on the interstate system?
mmlu_pro
math
4,004
Suppose that $10.0 \mathrm{~mol} \mathrm{C}_2 \mathrm{H}_6(\mathrm{~g})$ is confined to $4.860 \mathrm{dm}^3$ at $27^{\circ} \mathrm{C}$. Predict the pressure exerted by the ethane from the van der Waals equations of state.
mmlu_pro
chemistry
5,672
Secretions of Cowper's gland fluid at the tip of the penis are first evident:
mmlu_pro
other
7,279
What gives rise to the so-called pecuniary economies or diseconomies of scale
mmlu_pro
economics
7,809
What is the value of 5 + 2 • 15 + (12 • 4)?
mmlu_pro
math
11,732
If air is passing over a flat, hot plate, then find the quantity of heatpicked up by the air per hour. Use the following data. Temperature of air = 50°F Temperature of the plate = 150°F Length of the plate = 1.5 ft Width of the plate = 2.5 ft Velocity of air = 15 ft/sec.
mmlu_pro
engineering
5,803
The media-themes model of media influence claims that:
mmlu_pro
other
7,296
Which of the following will cause the aggregate demand curve to shift to the left?
mmlu_pro
economics
542
The ABC Corporation has issued 200 bonds, each with a $1,000 face value, redeemable at par after 15 years.In order toaccumulate the funds required for redemption, ABC has establisheda fund of annual deposits earning 4% interest peryear. What will be the principal in the fund at the endof 12 years?Round your answer to the nearest dollar.
mmlu_pro
business
10,524
Consider the Bayesian network given below. How many independent parameters are needed for this Bayesian Network H -> U <- P <- W?
mmlu_pro
computer science
11,477
Evaluate the frictional torque delivered and the axial force developedbetween the discs for a one plate clutch assumingthat both sides of the plate deliver torque. The coefficientof friction for the clutch material is 0.35 and the maximumpermissible pressure is 20 psi. The clutch has an insideand outside diameter of 20 in. and 24 in., respectively.
mmlu_pro
engineering
1,594
A defendant was driving his new sports car at a high rate of speed on a busy city street in the middle of the day. A pedestrian was struck by the defendant's car as she was crossing the street and was seriously injured. A criminal complaint was filed against the defendant and, at trial, he testified that he did not intend to injure anyone, but admitted that he was indifferent as to the consequences of driving recklessly. Based on the defendant's actions and testimony, he should be found guilty of
mmlu_pro
law
9,539
Which of the following is NOT equal to one tesla?
mmlu_pro
physics
5,025
This question refers to the following information. Read the following quote. I had now decided beyond all question that there existed in the heavens three stars wandering about Jupiter as do Venus and Mercury about the sun, and this became plainer than daylight from observations on similar occasions which followed. Nor were there just three such stars; four wanderers complete their revolutions about Jupiter, and of their alterations as observed more precisely later on we shall give a description here. Also I measured the distances between them by means of the telescope. . . . Such are the observations concerning the four Medicean planets recently first discovered by me, and although from this data their periods have not yet been reconstructed in numerical form, it is legitimate at least to put in evidence some facts worthy of note. Above all, since they sometimes follow and sometimes precede Jupiter by the same intervals, and they remain within very limited distances either to east or west of Jupiter, accompanying that planet in both its retrograde and direct movements in a constant manner, no one can doubt that they complete their revolutions about Jupiter and at the same time effect all together a twelve-year period about the center of the universe. —Galileo Galilei, 1610 Which of the following intellectual hallmarks of the Renaissance seem most in conflict with the questioning of the ancient philosophers, such as Aristotle, through experimentation in natural philosophy?
mmlu_pro
history
6,562
A 72-year-old woman who has smoked 20 cigarettes daily for the past 38 years begins using eyedrops for glaucoma. Three days later, she has a marked increase in shortness of breath while walking up a flight of stairs. Which of the following drugs is the most likely cause of the development of shortness of breath in this patient?
mmlu_pro
health
1,477
An owner ran a sporting goods store that specialized in hunting and camping supplies. His friend had often cautioned him that he should not leave so much of his merchandise out in the open. One day, as the friend entered the store to pay a visit, he decided he'd put his unheeded warnings into action by playing a joke on the owner. The friend took a hatchet that was lying on a display case and swung it over his head as if he were going to strike the owner, who was standing at the register with his back turned. The friend then said, "All right buddy, one false move and it's over. " The owner was very frightened at almost being hit with the hatchet but suffered no actual physical or other harm. If the owner asserts a claim against the friend, the most likely result is that he will
mmlu_pro
law
12,116
Find a cosine series which represents f(x) in 0 \leq x \leq \pi if f(x) is defined as f(x) = 00 \leq x < (\pi / 2) f(x) = 1(\pi / 2) < x \leq \pi.
mmlu_pro
engineering
9,675
The resolving power of the eye is 1 minute of arc. What is the cor-responding dimension on the retina?
mmlu_pro
physics
11,819
Assuming a basis of one standard cubic foot of CO burned, determinethe adiabatic flame temperature for the perfect combustionof CO with astoichiometricamount of air, when thereactant gases are @ 60°F and 1atmpressure. Also correctfor CO_2 dissociation.
mmlu_pro
engineering
11,552
An antenna radiates a power of 8kwand draws a current of 20 A. Calculate its radiation resistance.
mmlu_pro
engineering
10,796
When did the Babylonian captivity of "Exile" begin?
mmlu_pro
philosophy
673
Bob's Camera Shop reduced the price of their worst selling camera by 8(1/3)%. The camera originally sold for $65. How much is the camera selling for now?
mmlu_pro
business
1,206
The President announced that a newly created military rapid deployment force would be engaging in joint training exercises with the military forces in a foreign country. Following the President's announcement, Congress enacted a statute that unequivocally prohibited "the U. S. Armed Forces from conducting military exercises with foreign military forces unless Congress has received notice of such intention to take such action at least three months before the joint military exercises become effective. "This statute is most likely
mmlu_pro
law
10,477
Consider the following numbers. ° Binary 1100 ° Decimal 11 ° Hexadecimal D Which of the following lists the numbers in order from least to greatest?
mmlu_pro
computer science
6,510
Which of the following confirmed values meet the diagnostic threshold for diabetes?
mmlu_pro
health
9,976
A large telescope is focused on a double star and the interference pattern is observed when an adjustable double slit is placed in front of the objective. The distance between the centers of the components of the double slit is gradually increased until the fringes disappear. If this distance is 57.5 cm, find the angular separation of the two components of the double star. (Take mean \lambda = 5550A°.)
mmlu_pro
physics
3,831
Assume that all gases are perfect and that data refer to 298.15 K unless otherwise stated. Calculate the total change in entropy, when a sample of nitrogen gas of mass $14 \mathrm{~g}$ at $298 \mathrm{~K}$ and $1.00 \mathrm{bar}$ doubles its volume in an adiabatic reversible expansion.
mmlu_pro
chemistry
11,482
Find the Laplace transform L{g(t)}, where g(t)= 0,t < 4 and= (t - 4)^2,t \geq 4
mmlu_pro
engineering
4,708
Conflict models emphasize the importance of __________ tensions in the development of state societies, while integration models emphasize ____________ tensions.
mmlu_pro
history
2,969
We know that radiation and chemicals can cause cancer. Can viruses be a cause of cancer?
mmlu_pro
biology
5,194
China and Vietnam's dispute over the Spratley Islands is
mmlu_pro
other
2,100
Each of the following is a step taken by a therapist who is employing systematic desensitization EXCEPT
mmlu_pro
psychology
6,436
A sexually active 20-year-old woman has had fever, chills, malaise, and pain of the vulva for 2 days. Examination shows a vulvar pustule that has ulcerated and formed multiple satellite lesions. Nodes are palpated in the inguinal and femoral areas. A smear of fluid from the lesions establishes the diagnosis. Which of the following is the most likely causal organism?
mmlu_pro
health
9,096
The plates of a parallel plate capacitor are 5 mm apart and 2m^2 in area. The plates are in vacuum. A potential dif-ference of 10,000 volts is applied across the capacitor. Compute (a) the capacitance, (b) the charge on each plate, and (c) the electric intensity.
mmlu_pro
physics
6,736
The initial length of telomere stand for members of a species is
mmlu_pro
health
7,794
For T: Z x Z -> Z where T(1, 0) = 3 and T(0, 1) = -5, find T(-3,2).
mmlu_pro
math
4,910
Which continent features the earliest evidence of etching into a rock face?
mmlu_pro
history
617
A department store had gross sales this month of $72,8 00, and returns and allowances were 12percent ofthe net sales. If net sales + returns and allowances = gross sales, find the net sales in dollars.
mmlu_pro
business
10,157
An ideal battery of constant voltage V supplies current to a circuit that has total resistance R. If R is doubled, what will happen to the total power dissipated by the circuit?
mmlu_pro
physics
7,449
A white noise process will have (i) A zero mean (ii) A constant variance (iii) Autocovariances that are constant (iv) Autocovariances that are zero except at lag zero
mmlu_pro
economics
10,289
A telescope is made from two lenses, having focal lengths of 5 and 1 cm. a) What should be the distance between lenses if the ini-tial object and the final virtual image are both very far away? b) What is the magnification under these circumstances?
mmlu_pro
physics
1,940
At 1:00 a. m. one night, two police officers were driving past a tavern when they noticed a man vomiting outside. They stopped their patrol car and walked over to the man, whom they recognized as a troublemaker from the neighboring town. Realizing that the man was extremely intoxicated, they grabbed him and shoved him into their patrol car. They drove the man around in the police car for a few minutes and told him he had two choices. They would either take him to jail for the night or drive him to the city limits and drop him off there. The man indicated that he didn't want to go to jail. One of the officers then said, "Does that mean you want us to drop you off at the city limits?" The man replied, "Yes. " They then drove him to the city limits and left him along a busy highway. Moments later, the man staggered onto the street and was struck by a car driven by a motorist. He suffered multiple injuries. If the man asserts a claim against the police department based on negligence, he will most likely
mmlu_pro
law
4,366
Although all electrons spin, only molecules containing unpairedelectrons - only free radicals - giveesrspectra. Why is this? (Hint: Consider the possibility (a)thatone electron of a pair has its spin reversed, or (b)thatboth electrons of a pair have their spins reversed.)
mmlu_pro
chemistry
4,340
A first-order reaction has a half-life of 34 minutes. What is the rate constant for this reaction?
mmlu_pro
chemistry
8,101
5.8-1. If $X$ is a random variable with mean 33 and variance 16, use Chebyshev's inequality to find (b) An upper bound for $P(|X-33| \geq 14)$.
mmlu_pro
math
2,662
According to gate-control theory, which condition tends to close the gate?
mmlu_pro
psychology
1,983
A woman attended a private university. One afternoon she was approached by a photographer for a magazine, who asked her if she would be interested in posing nude for an upcoming issue. The woman, who was an aspiring model, agreed and posed for a number of nude pictures, which subsequently appeared in the magazine. Afterward, administrators and professors at the university began to harass her for what they considered to be imprudent behavior. During class, her instructors frequently called her "Playmate" and "Stripper. " Consequently, the woman brought suit in federal court against the university, alleging harassment, and seeking an injunction and damages. After this action was instituted, the university signed a stipulation agreeing not to harass her in the future. The federal court should now
mmlu_pro
law
9,432
A motor and a generator are
mmlu_pro
physics
9,909
In a photoelectric effect experiment it is found that for a certain metal surface the kinetic energy of an electron ejected by blue light of wavelength 4.1 × 10^-7 m is 3.2×10^-19 J. (a) What is the work function of the electrons in the metal? (b) What is the longest wavelength of light that will eject electrons from this surface?
mmlu_pro
physics
4,380
For 1000 seconds, a current of 0.0965 amp is passed through a 50 ml. of 0.1 M NaCl. You have only the reduction of H_2O to H_2 at the cathode and oxidation of Cl^- to Cl_2 at the anode. Determine the average concentration of OH^- in the final solution.
mmlu_pro
chemistry
9,337
Assume that a honeybee is a sphere of diameter 1.000 $\mathrm{cm}$ with a charge of $+45.0 \mathrm{pC}$ uniformly spread over its surface. Assume also that a spherical pollen grain of diameter $40.0 \mu \mathrm{m}$ is electrically held on the surface of the bee because the bee's charge induces a charge of $-1.00 \mathrm{pC}$ on the near side of the grain and a charge of $+1.00 \mathrm{pC}$ on the far side. What is the magnitude of the net electrostatic force on the grain due to the bee?
mmlu_pro
physics
7,452
What are the chief characteristics of the British brandof socialism?
mmlu_pro
economics
5,457
Which of the following is a renewable energy source?
mmlu_pro
other
12,137
Water enters a reactor through a length of pipe in which the necessarypreheating is accomplished. The reactor has a maximumpower rating of 150 W per meter of pipe, and its operatingtemperature is 350°K. The flow is measured at 5 kg/hr, and it enters the pipe at a mean bulk temperature of 290°K.If the internal diameter of the pipe is 0.005 m, calculate (a)thelength of pipe over which the necessary heat transfer maybe accomplished, and (b)themaximum exit temperature of the water.
mmlu_pro
engineering
7,796
Given that P(E) = 0.32, P(F) = 0.15, and P(E ∩ F) = 0.048, which of the following is a correct conclusion?
mmlu_pro
math
8,233
Suppose you wish to compare the AP Statistics exam results for the male and female students taking AP Statistics at your high school. Which is the most appropriate technique for gathering the needed data?
mmlu_pro
math
10,515
A large list of numbers is to be sorted into ascending order. Assuming that a “data movement” is a swap or reassignment of an element, which of the following is a true statement?
mmlu_pro
computer science
11,303
A model of a proposed low-speed crop-dusting plane is to be tested in a wind tunnel capable of maintaining velocities of 264 ft/s, using atmospheric air. The prototype plane has a design wing span of 27 ft and a proposed speed of 88 ft/s. In order to preserve dynamic similarity, what should be the wing span of the model if the wind tunnel is to operate at full speed? Assume the air at these low velocities to be essentially incompressible. In addition, assume that the temperature of atmospheric air and the temperature of the wind-tunnel air are the same.
mmlu_pro
engineering
1,657
A uniformed United States Park Policeman pulled over a motorist for going through a red light. The man reacted gruffly, telling the officer that he had no authority to stop him. There was a brief scuffle, and the officer issued two more charges, for disorderly conduct and failure to obey an officer. Eventually, the defendant pled guilty to the red light citation and the other two charges were dismissed. He then filed a federal court action against the park policeman in which he asserted a Bivens civil rights claim for false arrest and malicious prosecution. The first legal theory was that the park officer lacked authority to stop the plaintiff on a New York street and arrest him for a state traffic violation. He claimed that the officer was outside of his federal park land jurisdiction. Will the court likely uphold the authority of the park police under these facts?
mmlu_pro
law
158
A television sells for $180. It costs the retailer $136.50. Find the percent markup based on the selling price.
mmlu_pro
business
3,598
A nonvolatile benzoic acid dissolves in ethanol to form an ideal solution. Assuming there is no association or dissociation of the benzoic acid, calculate the solubility of the acid and the vapor pressure of the solution at 80°C given the following data. ∆H, cal/mole Compound Mol. wt M.p ;°C Normalb.p Fusion Vaporization Benzoic acid 122 122 249°C 4,000 12,000 Ethanol 46 -114 80°C 2,000 9,500
mmlu_pro
chemistry
4,720
This question refers to the following information. I appeal to any white man to say, if ever he entered Logan's cabin hungry, and he gave him not meat: if ever he came cold and naked, and he clothed him not? During the course of the last long and bloody war, Logan remained idle in his cabin, an advocate for peace. Such was my love for the whites, that my countrymen pointed as they passed, and said, "Logan is the friend of the white man." I had even thought to have lived with you but for the injuries of one man. Colonel Cresap, the last spring, in cold blood and unprovoked; murdered all the relations of Logan, not even sparing my women and children. There runs not a drop of my blood in the veins of any living creature. This called on me for revenge. I have sought it: I have killed many; I have fully glutted my vengeance. For my country, I rejoice at the beams of peace. But do not harbor a thought that mine is the joy of fear. Logan never felt fear. He will not turn on his heel to save his life. Who is there to mourn for Logan? Not one. —Address attributed to Logan, an Indian leader, 1774 Which of the following in later years would be most likely to see themselves in Logan's position?
mmlu_pro
history
1,870
A wife was unhappily married to her husband, an alcoholic. When the husband got drunk, he would become abusive and beat the wife. During the course of their marriage, the beatings became more violent and more frequent. Unable to endure the physical abuse any longer, the wife hired a hit man to kill her husband. One night while the husband was asleep, the hit man entered the home with a key given to him by the wife and shot the husband to death. Afterward, the wife was prosecuted for murder as an accomplice. At trial, the prosecution presented the facts outlined above. Thereafter, the defense sought to have the judge instruct the jury that the wife acted in self- defense under the battered women's syndrome. Based on the given facts, should the judge give such an instruction to the jury?
mmlu_pro
law
1,368
A defendant was arrested at an airport when the small suitcase he was carrying was found to contain heroin. The defendant, who did not challenge the legality of the airport search, was subsequently prosecuted for possession of heroin. At trial, the defendant testified on his own behalf and said that the suitcase belonged to his girlfriend who was accompanying the defendant when he was arrested. The girlfriend died in a skydiving accident two weeks before the defendant's trial. Moreover, the defendant testified that although he was a former heroin addict, he had not used any heroin in the past three years. On cross-examination, the prosecuting attorney asked the defendant to roll up the sleeves of his shirt and exhibit his arms to see if there were any needle marks. This request is
mmlu_pro
law
7,742
The hypotenuse of a right triangle measures 10 inches and one angle is $45^{\circ}$. What is the number of square inches in the area of the triangle?
mmlu_pro
math