题目列表

题目内容
What's the remainder when $$3^{73}$$ is divided by 5?
$$|2x+7| < 13$$

Quantity A

$$x^{2}$$

Quantity B

9


What percent of $$\frac{1}{2}$$ is $$\frac{2}{3}$$?
A tank initially contains $$g$$ gallons of water. Beginning at 1 o'clock in the afternoon, water flows into the top of the tank at a constant rate of $$x$$ gallons per minute and out of the bottom of the tank at a constant rate of $$y$$ gallons per minute. If $$ x \lt y$$, in how many minutes after 1 o'clock in the afternoon is the volume of water in the tank equal to $$\frac{1}{2}g$$, in terms of $$g$$, $$x$$, and $$y$$?
$$x \neq 0$$

$$y \neq 0$$

$$x+y \neq 0$$

Quantity A

$$x^{-3}$$+$$y^{-3}$$

Quantity B

$$(x+y)^{-3}$$


If $$3^{x}$$+$$3^{x}$$+$$3^{x}$$=$$9^{x-2}$$, what is the value of x?
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.
Which of the following inequalities is equivalent to 3 ≤ x ≤ 4?
An apple falls straight to the ground from a tree branch 8 meters above the ground. The apple`s height above the ground, $$t$$ seconds after it starts falling, is $$H$$ meters, where $$H=8-4.9t^{2}$$ and $$t$$ ≥ 0. How many seconds after the apple starts falling does it hit the ground?

Give your answer to the nearest 0.1 second.

_____seconds
The operation  is defined by r s=12 $$r^{-1}$$(s+3) for all positive numbers r and s. If x 3=18, what is the value of x?
In the xy-plane, a line that has a slope of -3 passes through the points (3, k) and (-2, m).

Quantity A

k-m

Quantity B

-15


Which of the following could be a portion of the graph of $$y=(x+2)^{2}-5$$ in the xy-plane?


The three squares share a common vertex, as shown.

Quantity A

$$a+b$$

Quantity B

90






Quantity A

The length of line segment AB

Quantity B

The length of line segment DC




ABCD is a square.

Quantity A

$$x+90$$

Quantity B

$$u+w$$


In the xy-plane, if three of the vertices of a parallelogram have coordinates (2, -1), (1, 2), and (5, 1), which of the following could be the coordinates of the fourth vertex?

Indicate all such coordinates


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




The center of each of the five circles is point O. The radii of the five circles, from smallest to largest, are $$r$$, $$2r$$, $$3r$$, $$4r$$, and $$5r$$, respectively.

Quantity A

The area of the shaded region

Quantity B

The area of the striped region




As shown in the figure, the centers of the two circles are respectively on the circumference of each other, and the radius is 3. What is the perimeter of this figure?


In the figure, MN is tangent to the circle at point P, and O is the center of the circle. If the length of PN is $$2\sqrt{3}$$, what is the circumference of the circle?

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