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AB is perpendicular to AC. What is the x-interception of line AC?
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The efficiency of the dam is equal to the ratio of water flow to power generation. When the water flow increases by 40%, the power generation increases by 25%. How much does the efficiency of the dam increase?
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x,y are integers. Is x-y odd?
1: 2x+3y is odd.
2: 3x+2y is even.
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$$3^{6x}$$=8100. $$3^{3x-1}$$=?
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Two classes play 10 games, and the scores of the two classes are shown in the table below. Is the average score of class A higher than that of class B?
1: The minimum scores of each classes are 0.
2: f=4.
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A shopkeeper sells mixed nuts. Mixed nuts are a mixture of c and p, with an average price of $2.7 per pound. What is the ratio of c in mixed nuts?
1: The unit price of c is $3.6 per pound.
2: The unit price of p is $2 per pound.
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Is the quadrilateral ABCD square?
1:AB=BC=CD=DA
2:∠A+∠B=180°
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Alex went to UK, Netherland and Australia on business last month. His roaming phone charges in UK, Netherland and Australia were $0.1/minute, $0.2/minute, and $0.3/minute, respectively. What's the unit price of his roaming phone charges last month?
1: The ratio of his roaming call in UK, Netherland, Australia was 2:3:4.
2: He spent 27000 minutes on roaming calling last month.
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Someone started doing experiments at midnight. Each experiment took the same time, and the next experiment was start immediately after each experiment. She used hhmm to record the time. For example, she recorded 1:30 as 0130. When she finished her first experiment, she recorded 0014. What was the four-digit number she recorded when finishing the 18th experiment?
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f(x)=$$\frac{4x^{2}-1}{1-2x}$$,$$\frac{f(\sqrt{3})-f(\sqrt{2})}{\sqrt{3}-\sqrt{2}}$$=?
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Someone practices calligraphy. It takes him three hours to write the first page and one hour to write each page starting from the second page. His average time of writing a page is 1.25h. How many pages does he practice?
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f(x)=-2$$(x-5)^{2}$$+3. What is the maximum value of f(x)?
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The temperature of the small hemispherical container was very high. Thus, it was put into the larger hemispherical container which was filled with water to accelerate the cooling of it. What was the volume of water left in the large container?
1: The diameter of the large hemisphere is twice that of the small one.
2: The volume of large hemisphere is 8 times that of the small hemisphere.
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There is an even chain hanging on a pulley. The chain is 5 meters long and weighs 4 kilograms. The chain lengths on the left and right sides of the pulley are a and b respectively. b=?
1: a = 1 m
2: r = 0.3 m
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The standard deviation of 33,34,35,36 is y. What is the standard deviation of 433,434,435,436?
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In trapezoid ABCD, AB//CD, AB=6, BC=6,∠C=60°,∠D=45°. CD=?
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Three boys and three girls eat around a round table, with Bob sitting in a fixed position. If boys and girls need to be separated, how many possibilities are there?
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Which of the following options has the same standard deviation as a,b,c?
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$$\frac{\frac{1}{\sqrt{2}}}{\sqrt{\frac{3}{2}}}$$=?
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Students A and B skate together. Student A circles with a radius of 10 feet. B circles with a radius of 5 feet. When both A and B finish skating around their respective circles, how much more distance does A skate than B?
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