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Quantity A

$$1000^{1000}$$

Quantity B

$$100^{10000}$$


Fara's book is no ordinary account of how scientific knowledge has accumulated. Instead, Fara focuses on how science has been guided by social and political factors. Her aim is to (i)____________ the notion of science as an objective search for truth. The study is an impressive (ii)___________ the idealization of science. Yet Fara takes her argument too far by (iii)_____________ how the knowledge produced by science relates to the external world: she treats all theories as equal, regardless of whether they are supported by evidence.
Whereas unimaginative novelists were once routinely accused of simply changing the personal names in works that would otherwise have been (i)_____________, today it is more common to learn, conversely, that a genuine piece of (ii)____________ has been (iii)__________ a writer's true confessions.
In a sequence of 700 integers, each term after the first two terms is the sum of the two preceding terms.

Which of the following could be the number of odd integers in the sequence?

Indicate all such numbers.
If y=(x-2)(x-1)(x+ 1), which of the following graphs indicates all of the values of x for which y is positive?

Quantity A

$$89!-88!$$

Quantity B

$$(87!)(88)^{2}$$


A circle is inscribed in a regular octagon. If the perimeter of the octagon is 16, what is the circumference of the circle?
If the expense category Other were replaced by subdividing it into 4 different categories, approximately what would be the company's average (arithmetic mean) expense per category for all of the expense categories except Salaries and Benefits?
In the xy-plane, line j contains the points (-10, -5.5) and (-8, -3), and line k contains the points (18, -3.5) and (20, -3).

Quantity A

The slope of line j

Quantity B

The slope of line k


One-half the sum of y and z is 3x, and both y and z are greater than 0.

Quantity A

6x

Quantity B

y


k > 0

w < 0

Quantity A

$$\frac{6k}{8k}$$

Quantity B

$$\frac{3w}{4w}$$


In a normal distribution, the amount of the distribution that lies within 1 standard deviation of the mean is 68 percent, rounded to the nearest whole percent. A certain set of values is normally distributed with a mean of 81 and a standard deviation of 5. A value x will be randomly selected from the set.

Quantity A

The probability that x will be less than 76 or greater than 86

Quantity B

The probability that x will be between 81 and 86


Danny has a test average (arithmetic mean) of 75 on ten 100-point tests.

Quantity A

The least possible number of additional 100-point tests he must take to raise his cumulative average to 90

Quantity B

12


$$x^{4}y^{3} > 0$$

Quantity A

$$\frac{x+y}{x}$$

Quantity B

1




Three circles with radii of the same length have centers B, C, and D, respectively. The cirlces with centers B and D are tangent to each other at C.

Quantity A

The area of the shaded region

Quantity B

The sum of the areas of the unshaded regions inside the circle


If x+y=1, y+z=4, and x+z=9, then x+y+z=


The figure shows the standard normal distribution with probabilities, rounded to the nearest 0.01, indicated for six intervals.

The number of available vacation hours for 700 employees of a certain company is approximately normally distributed, with a mean of 80 hours and a standard deviation of 16 hours. According to the figure shown, approximately what percent of the 700 employees have less than 48 available vacation hours?


A 10-foot long board is parallel to level ground, and the fulcrum supporting it is at the board's midpoint, as shown in the figure above. If the board is tipped, with the fulcrum remaining at the board's midpoint, so that the board's left end just touches the ground, which of the following is closest to the number of feet that the right end of the board is above the ground?
The function f is defined by f(x)=3x+1 for all numbers x. If f(a)=a, what is the value of a?

Give your answer as a fraction.
If 75 percent of the United States foreign aid to the Middle East in 1994 was spent for economic aid and 25 percent was spent for military aid, approximately how many billioon dollars was spent for economic aid to the Middle East that year?

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