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Which of the following is equivalent to $$y^3 \lt y?$$
In the $$xy$$-plane, the graphs of $$y=4-x^2$$ and $$y=-5x^2$$ intersect at how many points?


Two sides of a regular hexagon are extended, forming an angle with degree measure $$x$$, as shown in the figure above. What is the value of $$x$$? $$x$$=______
The passage suggests that some authors writing in 1950s jazz periodicals
The primary purpose of the passage is to


In the figure above, the area of equilateral triangle ABC is $ 25\sqrt{3} $. What is the area of square ACDE?


In the figure, ABCE is a square. What is the area of quadrilateral ABCD?


A rectangular tile with length l and width w is shown above. What is the ratio of the area of the shaded region of the tile to the area of the tile that is not shaded?


Square RSTW is rotated 360 degrees around vertex $$S$$, where $$S$$ is fixed. The path of vertex W is a circle, $$C$$, with radius $$r$$.

Quantity A

The area of the circular region enclosed by $$C$$

Quantity B

$$50π$$




The figure shows two circles that are each tangent to three sides of rectangle RSTW and that have centers at $$P$$ and $$Q$$, respectively. If each circle has a circumference of $$c$$, what is the area of rectangular region RSTW in terms of $$c$$?
The median yearly per capita consumption of veal, lamb, and pork, in pounds, for the six years shown is closest to which of the following?
In 1995, poultry represented approximately what percent of the total yearly per capita consumption of protein from the sources listed?
The following statistical measures were calculated using the yearly per capita consumption of poultry for the six years shown. Which of the following is equal to the difference between the yearly per capita consumption of poultry in 1995 and in 1975?


The figure shows the distribution of class sizes for 125 classes at a certain college. Based on the figure, which of the following values could be the median of the 125 class sizes?
Indicate all such values.
Set $$S$$ has twice as many members as set $$R$$, and the two sets have some members in common.

Quantity A

The number of members that are in $$S$$ and not in $$R$$

Quantity B

Twice the number of members that are in $$R$$ and not in $$S$$


A large number of samples of water were tested for the presence of two different minerals, $$X$$ and $$Y$$. Of all the samples tested, 52 percent showed the presence of $$X$$, 18 percent showed the presence of $$Y$$, and 10 percent showed the presence of both $$X$$ and $$Y$$.

Quantity A

The percent of all the samples tested that showed the presence of neither X nor Y

Quantity B

$$34%5$$


In a group of 38 college students, 28 are sophomores and 15 are chemistry majors. Which of the following could be the number of students in the group who are both sophomores and chemistry majors?
Indicate all such numbers.
Three people are in the process of reviewing 50 grant proposals. The numbers of proposals that each has reviewed so far are 32, 28, and 25, respectively.

Quantity A

The number of proposals that have been reviewed by at least 2 reviewers

Quantity B

$$32$$


For each order of envelopes, a company charges d dollars per box for the first 100 boxes and $$\frac{2d}{3}$$ dollars per box for any boxes in excess of 100. lf the company charges $660 for an order of 250 boxes of envelopes, what is the value of d?
A local store combined two consecutive discounts into a single discount. If the two consecutive discounts were 20 percent off the retail price and then 40 percent off the discounted price, what is the single discount off the retail price that is equivalent to the two consecutive discounts?

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