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An exercise ball is made from soft elastic that has uniform thickness of 2 millimeters, and the interior of the ball is filled with air. The ball is in the shape of a sphere and has an exterior diameter of 65 centimeters. What is the radius of the interior of the ball, in millimeters?
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A realtor sold two storefront properties. The realtor sold one of the properties for a profit of 25 percent of its original purchase price and the other property for a loss of 25 percent of its original purchase price. If the realtor sold each property for $210,000, by what amount did the sum of the original purchase prices of the two properties exceed $420,000?
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A point p is to be selected at random inside a square whose sides have length 3. What is the probability that the circle whose center is at p and whose radius is $$\frac{1}{2}$$ will not intersect the square?
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Points A, B, C, and D are equally spaced on line segment AD, as shown. If $$\frac{1}{3}$$ of segment AB, all of segment BC, and $$\frac{2}{5}$$of segment CD were removed, what fraction of segment AD would remain?
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The variables x and y are related by a linear equation. If y increases by 4 whenever x increases by 1, which of the following equations could represent the relationship between x and y?
Indicate all such equations.
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If a and b are positive and a+2b=$$\frac{16-b^{2}}{a}$$, what is the value of $$(a+b)^{3}$$ ?
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In 2014 the price of one share of a certain stock increased by 20 percent from January 1 to February 1 decreased by n percent from February 1 to March 1, and increased by 25 percent from March 1 to April 1. If the price of one share of the stock increased by 5 percent from January 1 to April I in 2014, what is the value of n?
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An artist will arrange 5 identical plastic apples in wooden bowls-one made of maple, one of oak, and one of pine. How many different arrangements are possible such that each bowl will contain at least one apple?
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The author of the passage mentions "most astronomers" primarily in order to
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The passage implies which of the following about "other studies"?
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The author's mention of the fact that the ethnographic print texts "existed well before Silko was born" serves primarily to
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The author's response to Gunn Allen's claim regarding the Laguna stories Silko used in Ceremory is best summarized by which of the following?
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It can be inferred that the author of the passage would be most likely to agree with which of the following statements about the “preexisting ethnographic print texts" mentioned?
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Which of the following, if true, most helps to explain the apparent discrepancy?
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The passage suggests which of the following about Chopin?
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The author would most likely agree with which of the following statements about Berlioz and Liszt?
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In the context where it occurs, the mention of "outright warfare" primarily serves to
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Which of the following can be inferred from the passage regarding European merchants who engaged in long-distance trading in the fifteenth and sixteenth centuries?
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Sea turtles _____________ sponges on Caribbean reefs; however, the percentage of sponge reef cover is climbing due to human predation of turtles.
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While the retired policy maker's latest book will not convince his most strident critics, less (i)_______ readers will find his advice to be (ii)_______.
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