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The operation ⭕️ is defined by x ⭕️ y=$$\frac{1}{x}$$+$$\frac{1}{y}$$ for all positive numbers x and y. Which of the following statements must be true for all positive numbers m and r?

Indicate all such statements.

Quantity A

100!

Quantity B

$$(50!)^{2}$$


The highlighted sentence (While Flannery(1990)argued...) serves to
Select the sentence that describes some of the factors that hamper archaeological investigation of past agricultural practices.

Quantity A

$$(2^{8})(3^{15})+(2^{8})(3^{15})$$

Quantity B

$$(6^{9})(3^{6})$$




The average (arithmetic mean) of n numbers is 26. One number is discarded, and the average of the remaining numbers is 25.5.

Quantity A

The discarded number

Quantity B

26


Set M is composed of all 3-digit positive multiples of 7. What is the range of the numbers in set M?

Quantity A

$$(x-0.7)^{2}$$

Quantity B

$$(0.7-x)^{2}$$




In the xy-plane shown, what is the maximum distance from an endpoint of line segment AB to a vertex of triangle DEF?
Light travels at approximately 186,000 miles per second. Which of the following is closest to the number of miles that light travels in 3 hours?
$$a$$ and $$b$$ are negative, and $$a^{2}-b^{2} \lt 0$$.

Quantity A

$$a-b$$

Quantity B

$$0$$




There has been a noticeable reversal from the time when (i)____________ was accepted as the essential characteristic of genuine science: now the role of (ii)____________ in scientific research is generating a great deal of interest.
It has been suggested that the use of metaphors from the realms of battle and sports to describe arguments contributes to the (i)____________ of the argumentative process. Such metaphors may (ii)____________ adversarial conceptions of argument, leading interlocutors to behave aggressively in verbal disputes, thereby (iii)____________ a process that ideally leads to resolution.
The average (arithmetic mean) of the 100 numbers in list S is 5.0. The average of the 20 numbers in list T is m. If the numbers in both lists are combined into one list, the average of the 120 numbers in the combined list is m-3. What is the value of m?

The average (arithmetic mean) of 3 integers, x, y, and z, equals the average of 12, 14, 21, and 45.

Quantity A

x+y+z

Quantity B

69




x and y are integers, and 2x+3y=5

Quantity A

x+y

Quantity B

0




List R contains 30 values, and the average (arithmetic mean) of the values in R is m. List S contains 20 values, and the average of the values in S is m+40. List T consists of the vaues in R followed by the values in S.

Quantity A

The average of the values in T

Quantity B

m+16




For many who are not philosophers, the word "metaphysics" still retains connotations of (i)____________, so that many hard scientists still use the term as a byword for (ii)____________ thinking.
Japan's first university was more (i)_______________ than its Chinese counterparts in the same era, since the Chinese Tang system was highly (ii)_____________. However, this changed over time. As Japanese court offices became increasingly hereditary, the examination system, by which students from a wide range of social classes were admitted into the universities, (iii)____________.
Which of the following best describes the relationship of the second paragraph to the rest of the passage?

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