Use the distributive property. Assume that variables represent nonnegative values.3(-3 + 5)

A. -27 + 15
B. 27 + 45
C. -27 - 45
D. -27 + 45


Answer: D

Mathematics

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Find at least three nonzero terms [including a0, at least two cosine terms (if they are not all zero) and at least two sine terms (if they are not all zero)] of the Fourier series for the given function.f(x) = x +  -1 ? x <1

A. f(x) =  + 
B. f(x) =  + 2
C. f(x) =  - 
D. f(x) =  - 2

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Evaluate the double integral over the given region. R = {(x, y): 0 ? x ? ?, 0 ? y ? 1}

A. 8- 8
B. 8?
C.
D. ?

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Refer to the weighted voting system  and the Shapley-Shubik definition of power. (The three players are P1, P2, and P3.)The Shapley-Shubik power distribution of the weighted voting system is

A. P1; P2; P3.
B. P1; P2; P3: 0.
C. P1; P2; P3.
D. P1; P2; P3.
E. none of these

Mathematics

Solve the problem.An election involving 6 candidates and 20 voters is held and the results of the election are to be determined using the Borda count method. Assuming there isn't a six-way tie, the maximum number of points a losing candidate can receive is

A. 60 points. B. 30 points. C. 70 points. D. 20 points. E. none of these

Mathematics