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xy ≠ 0 , x > y Quantity A $$\frac{1}{x}$$ Quantity B $$\frac{1}{y}$$
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 dollar value of a certain carving in 1983 was 20 percent greater than its dollar value in 1978. The dollar value of the carving in 1988 was 70 percent greater than its dollar value in 1978. Quantity A The percent increase in the dollar value of the carving from 1983 to 1988 Quantity B 50%
In a certain survey, 40 percent of the people surveyed own at least one dog, 30 percent own at least one cat, and 40 percent own neither a dog nor a cat. Of those surveyed that own at least one dog, what percent also own at least one cat?
The circumference of circle C is equal to the perimeter of square S. Quantity A The ratio of the area enclosed by C to the area enclosed by S Quantity B 1
Q is a set of 36 different numbers with the property that if p is in Q, then -p is also in Q. The number 25 is in Q. Quantity A The range of the numbers in Q Quantity B 40
In the xy-plane shown, what is the maximum distance from an endpoint of line segment AB to a vertex of triangle DEF?
If \|x-1\| < 5 and \|y\| < 3, which of the following inequalities must be true for all possible values of the product xy?
Quantity A The greatest positive prime factor of 48 Quantity B The greatest positive prime factor of 45
A box contains 100 purple balls, 100 red balls, and 100 white balls. What is the minimum number of balls that must be chosen to ensure that at least 4 of the balls chosen have the same color?
In 1990 in neighborhood V, $$\frac{1}{3}$$ of the foreign-born population whose region of origin was Asia came from China. Approximately what fraction of the entire foreign-born population in neighborhood V came from China?
In the xy-plane, line segment PR intersects the x-axis at point Q and is parallel to the y-axis. If the legnth of PQ is twice the length of QR, what are the corrdinates of point R, in terms of a and b?
The author mentions the "cohort" primarily to
Astronomers have always suspected that planets might orbit stars other than our sun but (i)_____________ that they would find systems structured much like our own solar system. Yet a flood of recent discoveries has made it clear that extrasolar planetary systems can (ii)______________ our own solar system.
Which of the following best characterizes the author's main point about the “comparisons"?
Which of the following assertions about readers can be inferred from the passage?
It costs d dollars to buy n nails. At this rate, what is the cost of n+1,850 nails, in dollars?
For some maintenance work, an electrician charged $288 for labor and parts. The labor charge was $40 per hour, and the total charge for labor was 5 times the charge for parts. How many hours of labor did the electrician charge for the work? _____hours
Newcomb did more than merely extol the use of objective analysis to address social problems. Through a steady stream of books, articles, and speeches, he sought to provide a (i)____________ examination of and prescription for political and economic ills,thus practically demonstrating-rather than simply (ii)____________ -the (iii)____________ of such impartial study.

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