Expand the expression using the Binomial Theorem.(x - 4)5

A. x5 - 20x4 + 160x3 - 640x2 + 1,280x - 4
B. x5 - 20x4 + 320x3 - 1,280x2 + 1,280x - 4
C. x5 - 20x4 + 320x3 - 1,280x2 + 1,280x - 1,024
D. x5 - 20x4 + 160x3 - 640x2 + 1,280x - 1,024


Answer: D

Mathematics

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The linear depreciation method assumes that an item depreciates the same amount each year. Suppose a new piece of machinery costs $33,000 and it depreciates $850 each year for t years. Set up a linear function that yields the value of the machinery after t years. 

A. f ( t ) = 850t - 33,000 B. f ( t ) = 850t + 33,000 C. f ( t ) = 33,000 - 850t D. f ( t ) = 33,000t + 850 E. f ( t ) = 33,000t - 850

Mathematics

Evaluate the integral.

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C.  [7 sin 7+ 5 cos 7x] + C
D.  [7 e5x sin 7+ 5 cos 7x] + C

Mathematics

Perform the following multiplication problems:

a. 4(2x + 9) b. 2a(5a + 3) c. 3x(2x + 3y) d. y(3x + 7y)

Mathematics

According to the 2000 U.S. Census, Santa Fe, New Mexico, has a population of 62,203 of whom 29,744 are Hispanic or Latino (of any race). If 300 citizens of Santa Fe are selected at random, what is the probability that at least 140 of them will be Hispanic or Latino? (U.S. Bureau of the Census.)

What will be an ideal response?

Mathematics