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Three of the four vertices of a rectangle in the xy-coordinate plane are (-3, 10), (2, 10), and (2, 1). What is the fourth vertex?
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OG18-数学分册
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On the number line, the shaded interval is the graph of which of the following inequalities?
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OG16 OG17 OG18 OG19 OG20 OG2022
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The interior of a rectangular carton is designed by a certain manufacturer to have a volume of x cubic feet and a ratio of length to width to height of 3:2:2. In terms of x, which of the following equals the height of the carton, in feet?
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Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
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If $$k = -1$$, which of the following is (are) true?I.$${k}^{k}={k}$$II.$$\mid {k}\mid=-{k}$$III.$${k}^{0}=-{k}$$
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OG12 OG15 OG16 OG17 OG18
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If n is an integer greater than 6, which of the following must be divisible by 3?
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The population of City X is 50 percent of the population of City Y. The population of City X is what percent of the total population of City X and City Y?
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The author of the passage compares the smuggling of CFC's to the illicit drug trade most likely for which of the following reasons?
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In the figure shown, line segment AD is parallel to line segment BC. What is the value of x?(1)y=50(2)z=40
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OG17
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If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k?(1)The tens digit of k + 9 is 3.(2)The tens digit of k + 4 is 2.
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What is the remainder when the positive integer n is divided by 2?(1)When n is divided by 5, the remainder is an odd integer.(2)When n is divided by 10, the remainder is an odd integer.
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What is the value of xy?(1)$${2}^{(x+y)}=4$$(2)$${2}^{(x+3y)}=16$$
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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What is the median number of employees assigned per project for the projects at Company Z?(1)25 percent of the projects at Company Z have 4 or more employees assigned to each project.(2)35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.
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How many liters of apple juice were added to the cranberry juice in a certain container?(1)The amount of apple juice that was added was $$\frac3 2$$ the amount of cranberry juice in the container.(2)There were 5 liters of cranberry juice in the container.
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OG12
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The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96. What is the units digit of m?(1)m is odd.(2)The hundreds digit of m is 8.
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OG18-数学分册
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What is the volume of the cube above?(1)The surface area of the cube is 600 square inches.(2)The length of diagonal AB is $${10}\sqrt3$$ inches.
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If ab = 1, what is the value of (axb)(ayb)?(1)ax = by = 2(2)2xy = 4
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OG12
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If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105?(1)x is a multiple of 9.(2)y is a multiple of 25.
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OG12
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Seven different numbers are selected from the integers 1 to 100, and each number is divided by 7. What is the sum of the remainders?(1)The range of the seven remainders is 6.(2)The seven numbers selected are consecutive integers.
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数论
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If k, m, and p are integers, is k - m - p odd?(1)k and m are even and p is odd.(2)k, m, and p are consecutive integers.
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