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$$x$$ is a positive integer.

$$g \gt 0$$

Quantity A

$$g^{x}$$+$$\frac{1}{g^{x}}$$

Quantity B

$$1$$


Which of the following could be a portion of the graph of $$y=(x+2)^{2}-5$$ in the xy-plane?
The function $$f$$ is defined for all numbers $$x$$ by $$f(x)=57x^{2}-kx+925$$, where $$k$$ is a constant, and $$f(x)=f(-x)$$ for all $$x$$.

Quantity A

$$k$$

Quantity B

$$0$$


If the degree measures of the three angles of a triangle are consecutive even integers, what is the measure of the smallest angle of the triangle?


Square DEFG is inscribed in isosceles right triangle ABC. If the area of triangular region ABC is r, what is the area of triangular region AFE?


Square ABCD and parallelogram AEFD lie in the same plane, and AB=AE.

Quantity A

The area of region ABCD

Quantity B

The area of region AEFD




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


If 250 employees in administration were transferred from Site II to Site I and no other changes in employment occurred, approximately what percent of the employees at Site I would work in administration?
The ratio of the number of production workers at Site I to the number of production workers at Site II is mostly equal to
At Site II, if the average (arithmetic mean) salaries in production, administration, and research are $$x$$, $$y$$, and $$z$$ dollars, respectively, what is the average salary, in dollars, of all employees at Site II?
Which of the following is closest to the average (arithmetic mean) number of passengers departing per day from Airport X last week?


The chart shows the distribution of scores on a quiz in a geometry class.

Quantity A

The median of the quiz scores

Quantity B

The mode of the quiz scores


Quantity A

The standard deviation of the heights of 12 children whose mean height is 50 inches

Quantity B

The standard deviation of the heights of 10 children whose mean height is 60 inches




The table above summarizes customer satisfaction ratings for two banks, where each rating is an integer from 1 to 10. Which of the following statements must be true?

Indicate all such statements.
During a 7-day period, a plant's height increased half as much each day as it did the day before. What is the ratio of the plant's increase in height on day 4 to its increase in height on day 7?
Recent research runs counter to the long-cherished notion that a small drop in body temperature during and after surgery is either ________ or actually protects the patient by slowing metabolism and reducing the body's demand for blood and oxygen.
Aboriginal people of Victoria, Australia, neither rejected Western material culture nor demonstrated an obsession with it; in fact, Western artifacts such as pipes and handkerchiefs were appreciated for their symbolic rather than their _________ value.
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.
Many types of rocks contain small voids that ___________ vibrations: the greater proportion of a rock's volume that is void, the more gradually vibrations travel through it.
Because it has usually been impossible to eradicate exotic species once they have become established, it is ____________ to minimize introductions of species that have substantial probabilities of unwanted impacts.

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