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Having regarded Marcus relationship to their boss as entirely _____, Jo was flabbergasted when Marcus publicly made clear his objections to some changes the boss was introducing.
According to the passage, which of the following occurs as a result of cooling in the upper layers of the ocean?
When a new scientific model emerges, research studies (i)_____ that paradigm tend to dominate in the scientific literature: the process of selecting articles for publication is tilted towards positive results. But once the paradigm (ii)_____, the academic incentives shift in the opposite direction: research results are more considered worthy publication when they (iii)_____ what has become the established view.
In order to cultivate new repertoire, the music industry is providing a hearing for previously _____ composers.
Some people (i)_____ translations of great literary works-especially those insistent on a literal translation for whom no rendering is ever (ii)_____ enough.
In a plane, points P and Q are 20 inches apart. If point R is randomly chosen from all the points in the plane that are 20 inches from P, what is the probability that R is closer to P than it is to Q ?
Which of the following is most nearly equal to$$\frac{2.5*10^{6}}{2.5*10^{6}-3.5*10^{-6}}$$

Quantity A

The number of different prime factors of 500

Quantity B

The number of different prime factors of 360






Point Q (not shown) is on the number line between -2 and -1. Point R (not shown) is on the number line between 0 and 1. Point S (not shown) is on the number line between 3 and 4

Quantity A

QR

Quantity B

RS





The figure above is a circle centered point A and ∠BAC=58°

Quantity A

The length of chord BC

Quantity B

The radius of circle A




The figure consists of 14 identical equilateral triangular regions. If the area of the figure is $$56\sqrt{3}$$, what is the perimeter of the figure?
The number 24 has the property that it is divisible by its units digit, 4. How many of the integers between 10 and 70 are divisible by their respective units digits?
In the xy -plane, the circle with radius 50 and center (0, 0) passes through which of the following points?

Indicate all such points.
Each of the offices on the second floor of a certain building has a floor area of either 250 or 300 square feet. The total space of these offices is 5,750 square feet.

Quantity A

The number of these offices with floor areas of 250 square feet

Quantity B

The number of these offices with floor areas of 300 square feet



In a circle, the area of the shaded area is 16π

Quantity A

The radius of the circle

Quantity B

5.5


A certain truck takes 10 trips to transport 2,000 cartons from warehouse A to warehouse B. For each trip except the 10th trip, the truck is loaded to its full carrying capacity of x cartons. On the 10th trip, the truck is loaded with the remaining cartons.

Quantity A

x

Quantity B

210


Quantity A

The remainder when 11,999,999 is divided by 12

Quantity B

11




The 9 computers in an office are to be interconnected by cables so that each computer is connected directly to each of the other computers. If each cable that connects a pair of the computers counts as one cable, how many cables are needed?

Quantity A

The number of ordered triples ($$x_1$$, $$x_2$$, $$x_3$$), where $$x_1$$, $$x_2$$ and $$x_3$$ are non-negative integers such that $$x_1$$+$$x_2$$+$$x_3$$=9

Quantity B

55


What is the value of $$\frac{51!-50!}{50!-49!}$$?

Give your answer as a fraction.

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