Fill in the blanks:

(a) Given sets A and B, to prove that (A ? B) ? (A ? B) ? A, we suppose that x ? __________ and we must show that x ? __________.
(b) By definition of union, to say that x ? (A ? B) ? (A ? B) means that __________.


a. (A ? B) ? (A ? B); A
b. x ? (A ? B) or x ? (A ? B)

Mathematics

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A. -8 B. -12 C. -14 D. 12

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Solve the problem.If the Hamilton Method is used to apportion legislative seats to two original states and a new state with the populations given in the table (in thousands), then one of the states loses a seat to another if the original number of seats being apportioned is 48. Which state loses a seat to which state, and does the New States paradox occur?

A. a loses a seat to b, no B. b loses a seat to a, yes C. b loses a seat to a, no D. a loses a seat to b, yes

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Write a general term an for the sequence. Assume that n begins with 1.6, , . . .

A. an = 
B. an = 
C. an = 
D. an = 

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Find the exact value of the indicated trigonometric function of the angle ? in the figure. Rationalize the denominator where necessary.Find cot ?.

A.
B.
C.
D.

Mathematics