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$$r$$ is a positive integer, $$k=2r+1$$, and $$h=5k-3$$

Quantity A

The units digit of $$h$$

Quantity B

2


In the xy-plane, the points (-2, 3) and (6, -3) lie on a circle, and the line segment connecting the points is a diameter of the circle. What is the area of the circle?


In quadrilateral QRST, the length of RS is less than the length of QT, and RS is parallel to QT.

Quantity A

The length of QR

Quantity B

The length of ST




Quantity A

x+y

Quantity B

90






A thin metal plate in the shape of a parallelogram has an area of 80 square inches and is cut into two pieces using two cuts. Each cut is parallel to a side of the plate, as shown, and the ratio of the length of each cut to the length of the side of the plate to which the cut is parallel is 3 to 4. What is the area, in square inches, of the piece of the plate represented by the shaded region?


The figure above consists of 3 semicircles and an equilateral triangle with sides of length 8. Each side of the triangle is a diameter of a semicircle.

Quantity A

The combined area of the 4 shaded regions

Quantity B

96


Two line segments of equal length bisect each other.

Quantity A

The number of circles that pass through at least three of the four endpoints

Quantity B

2




The figure represents a flat rectangular plot of land that consists of a rectangular parking lot and a surrounding sidewalk of uniform width. If the area of the parking lot is $$\frac{3}{5}$$ of the area of the entire plot of land, what is the width, in feet, of the sidewalk?
A bicycle is traveling at a constant rate such that the wheels rotate 72 degrees per 0.1 second. If each wheel of the bicycle has a diameter of 26 inches, how many inches does the bicycle travel in 2 seconds?


In the xy-plane shown, the circle is centered at the origin. Line $$l$$ passes through the origin and the point (3, 4). Line $$m$$ is tangent to the circle at the point (3, 4). What is the the x-intercept of line $$m$$?

Give your answer as a fraction.
Mr. Thomas gave a chemistry test to 25 students and assigned each student a score. Of the 25 students, 12 students received scores that were greater than 80.

Which of the following statements individually provide(s) sufficient additional information to determine the median of the 25 scores?

Indicate all such statements.
R={3, 4, 7, 9}

T={2, 5, 8}

If a number r is to be chosen from set R and a number t is to be chosen from set T. what is the range of all possible values of $$\frac{t}{r}$$?
For a certain normal distribution, the value 15.6 is 2 standard deviations below the mean of the distribution and the value 26.1 is 3 standard deviations above the mean of the distribution. What is the mean of the distribution?
In a herd of 90 cows, some are brown, some are white, and the rest are both brown and white. In the herd, 55 cows are entirely or partially white, and 75 cows are entirely or partially brown. If the cows are randomly selected for inoculation, what is the probability that the first cow selected will be entirely white?
In a water tank of 72 fishes, $$\frac{1}{3}$$ are blackfin, $$\frac{2}{3}$$ are whitefin. $$\frac{1}{2}$$ have orange dots, while the rest $$\frac{1}{2}$$ have brown dots. If $$\frac{2}{3}$$ of whitefin have brown dots, then how many fishes in the water tank are orange-dotted blackfins?
$$C_1$$, $$C_2$$, $$C_3$$, ......,$$C_K$$, ......

The sequence shown above is defined by $$C_1$$=7 and $$C_{K+1}$$= $$\frac{1}{7}$$ $$C_K$$, for each positive integer k

Quantity A

$$C_{12}$$

Quantity B

($$49^{7}$$)$$C_{26}$$


Quantity A

$$\frac{100!}{99!}$$

Quantity B

$$\frac{ (100!-99!)}{98!}$$




The figure above represents a game board with a chip at staring point M. On successive plays, the chip may be moved along the lines from one labled point to an adjacent labled point, but may not be moved to the same point twice. Along how many different paths can the chip be moved from M to N in this game?
Some norms governing authors' dedications of their works are (i)___________ to the norms governing ordinary speech (it may be wrong to lie, and thus wrong to lie in dedication), but other norms (ii)__________ dedications. For example, one ought not dedicate to a worthy recipient an object that one feels is devoid of value.
Although collisions between the largest planetesimal belt are _________, they can release large amounts of debris when they occur.

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