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The function $$f$$ is defined by f$$(x)=2^{-x^{2}}$$ for all integers $$x$$. Which of the following could be the value of $$f(x)$$?

Indicate all such values.
$$(2.82 \times 10^{-51} - 3.96 \times 10^{-49})$$=
Which of the following is the best estimate of $$\frac{(16.8)(10^{3})}{(0.51)(10^{-11})}$$?
A customer purchased n items at Store F. If 5 of the n items cost $7 each and the remaining items cost $9 each, then in terms of n, what was the total cost, in dollars, of the items purchased by the customer at Store F?
At a farmers market, the price of peanuts ranges from $2 to $3 per pound and the price of cashews ranges from $4 to $5 per pound. Which of the following represents the least possible price, in dollars, of 6 pounds of the two kinds of nuts, of which p pounds are peanuts and the rest are cashews?
A saltwater solution contains $$25$$ percent salt by weight. To $$1$$ kilogram of this solution, $$x$$ grams of salt and $$4x$$ grams of water are added , where $$x \gt 0$$.

Quantity A

The percent of salt in the resulting solution

Quantity B

$$25%$$


The function $$f$$ is defined for all integers $$n$$ greater than 2 by $$f(n)=(1)(2)(3)...(n-2)$$. That is, $$f(n)$$ is the product of the first $$n-2$$ positive integers. What is the value of $$\frac{f(9)}{f(8)}$$?
The function f is defined by f(x) = 2x – 1 for all numbers x. If the function g is given by g(x) = 3 * f(2x - 1) + 2 for all numbers x, what is the value of g(2)?

g(2)=_____


Which of the following shaded regions represents the set of all points $$(a, b)$$ in the xy-plane above such that $$(a+1, b+1)$$ is in quadrant Ⅰ? (Note that a point lies on axis is not in any quadrant)


Lines k and l lie in the xy-plane and are parallel.

Quantity A

a

Quantity B

b




Quantity A

$$y$$

Quantity B

115




In the figure shown, ABCD and EFGH are rectangles.

Quantity A

The sum of the measure of angle CPG and angle AQH

Quantity B

300°


The perimeter of parallelogram $$ABCD$$ is $$360$$ feet.

Quantity A

The length of diagonal $$AC$$

Quantity B

$$90\sqrt{2}$$ feet




ABCD is a square, AEFG is a rectangle, and BE=DG.

Quantity A

The area of square ABCD

Quantity B

The area of rectangle AEFG


Each side of square S has length 2. Five different points lie inside S but not on the sides of S.

Quantity A

The distance between the closest two points among the five points

Quantity B

$$\sqrt{2}$$


In the ceiling of a room, an opening was cut in the shape of a square with sides that are 1 foot in length. A circular fixture will be placed over the opening. If the circular fixture covers the square opening completely, which of the following could be the diameter of the circular fixture, in inches? (Note: 1 foot = 12 inches)

Indicate all such diameters.
Approximately what percent of the families in the sample own more than 3 motor vehicles?
How many of the families own exactly 2 motor vehicles?
For a group of 9 steel beams stored together, the average (arithmetic mean) length of the beams is 7.2 meters and the median length is 8.4 meters. Two additional steel beams-one that is longer than all 9 beams and one that is shorter than all 9 beams-will be stored with the 9 beams. For the combined group of 11 steel beams, the average length is $$m$$ meters and the median length is $$d$$ meters. Which of the following statements must be true?

Indicate all such statements.
The playing times of the 13 songs on a compact disc were measured. The average (arithmetic mean) playing time of the songs is 3.6 minutes, and the median playing time is 3.4 minutes. Which of the following statements must be true?

Indicateall such statements.

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