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The larger of two right circular cylindrical containers has an inside radius of 3 inches, and the smaller has an inside radius of 1.5 inches; each of the containers has an inside height of 10 inches. If the smaller container were filled with water until the depth of the water was 9 inches, and then its water were poured into the empty larger container, what would be the depth of the water, in inches, in the larger container?
During a 7-day period, a plant's height increased half as much each day as it did the day before. What is the ratio of the plant's increase in height on day 4 to its increase in height on day 7?
The letters in a certain name can be arranged in exactly 180 different orders. Which of the following could be that name?
A bag contains 6 balls of which 2 are red and 4 are green. If 2 balls are to be chosen at random one after the other, without replacement. what is the probability that the second ball chosen will be red?
A jar contains only red marbles and black marbles. The jar contains more than one red marble and 5 times as many black marbles as red marbles. Five marbles are to be selected from the jar without replacement.

Quantity A

Of the marbles selected, the number that will be red

Quantity B

Of the marbles selected, the number that will be black


In the Old Southwest, only writers who showed exceptional __________ were likely to become widely known, because the region's weak infrastructure inhibited the development of publishing beyond local newspapers that served small towns.
Although the virtues of supplementing wild fish populations with fish from hatcheries are often ______________, scientific studies have indicated that fish stocking can harm the wild, native species of the water body.
Nowhere is the gulf between humans and chimpanzees (i)____________ than in their mental abilities: whereas children gradually acquire the ability to infer the mental states of others, an acquisition that underlies language and culture, evidence for this ability in chimps is (ii)____________.
Some consider the theorem Emmy Noether first published in 1918 to be as important as Einstein's theory of relativity, since much of today's vanguard research in physics is _____________ Noether's theorem.
By using (i) _____________ prose throughout, the contributors to this anthology have been able to make their subject seem (ii) _____________ in the extreme—of concern only to one another.
Nociception is the process of detection and processing of a noxious stimulus by the nervous system; however, nociception is not ____________ pain, as the former is not necessarily associated with a negative emotional response or feeling.
Which of the following, if true, most seriously weakens the argument?
The author cites Longfellow's remarks from 1838 in order to
In the argument given, the two highlighted portions play which of the following roles?
In the context of the passage, the mention of the Large Hadron Collider primarily serves to
Which of the following statements best describes the function of the highlighted sentence?
Which of the following, if true, provides the most support for the argument?


The center of the circle is O, and RS=ST=4. What is the length of arc RWT?

Quantity A

$$(4x)(3(-2x+1))$$

Quantity B

$$(4)(3x)(1-2x)$$


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