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题目列表

题目内容
Of the water area occupied by the four oceans, the percent occupied by the Indian Ocean is closest to which of the following?
In the xy-plane, what is the $$x$$-intercept of the line given by the equation $$4x+3y=24$$?

Quantity A

$$\frac{8^28^{-4}}{8^3}$$

Quantity B

$$\frac{1}{2^{15}}$$
$$x ≠ 0$$

Quantity A

$$x^{-10}$$

Quantity B

$$x^{-20}$$
Polygon P has more than 5 sides. Polygon Q has twice as many sides as polygon P.

Quantity A

Twice the sum of the interior angles of polygon P

Quantity B

The sum of the interior angles of polygon Q

Quantity A

$$\sqrt{r^6}$$

Quantity B

$$r^3$$
If an integer is chosen at random from between 3,000 and 3,799, inclusive, what is the probability that the chosen integer will begin with the digits 33 or 34 and end with the digit 0 or 1?
How many integers between 37 and 621 are squares of even integers?
A hotel offers a 20 percent discount on the regular price of each room, and the hotel charges a 15 percent sales tax on the discounted price. If a guest rented a room for one night at the discounted price and paid a total of $$p$$ dollars, including the sales tax, what is the regular price, in dollars, of the room?
In the xy-plane, the point (2, 5) is a vertex of a square that has sides of length 3. Which of the following points could be the vertex of the square that is diagonally opposite the vertex (2, 5)?

Indicate all such points.
Four slips of paper are numbered 1, 2, 3, and 4, respectively and put into an empty box. If two of these slips of paper will be drawn out of the box at random and without replacement, what is the probability that the sum of the two numbers written on the slips of paper will be 3?
In the xy-plane, circle C is centered at (0, 3) and passes through the point (2, 0).

Quantity A

The area of circle C

Quantity B

13π


$$x$$ is a positive integers.

Quantity A

$$ (-1)^x$$

Quantity B

$$ (-1)^{-x}$$
The 25 numbers in list K have an average (arithmetic mean) of 20. List G consists of the first 10 numbers in list K , and list H consists of the last 15 numbers in list K. If the average of the numbers in list G is between 12 and 18 , which of the following values could be the average of the numbers in list H ?

Indicate all such values
M and N are two different points in the plane. Which of the following is true about the set of all points in the plane that are the same distance from M as they are from N?
Pam, Steve,and Adrian each had a party. The number of people at Pam's party was 6 more than the number of people at Steve's party. The number of people at Steve's party was 8 fewer than the number of people at Adrian's party. No one attended more than one of the three parties. If the total number of people at the three parties was 89, what was the number of people at Adrian's party?
20, 15, $$y$$, 27, 26, 12, 21

The list of seven numbers above represents the scores on a test of dexterity. The range of the seven scores in the list is 17. Which of the following could be the value of $$y$$?

Indicate all such values.
For each positive integer $$n$$, the function $$f(n)$$ is defined by the equation $$f(n)=2^{n(-1)^n}$$.

Quantity A

$$f(n+1)-f(n)$$

Quantity B

0
$$x^2z-xyz \lt 0$$

$$x \lt 0$$ and $$z \gt 0$$

Quantity A

$$x$$

Quantity B

$$y$$

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