Factor the perfect square trinomial.9x2 + 30x + 25

A. (3x + 5)2
B. (3x - 5)2
C. (3x - 6)2
D. (3x + 5)(3x - 5)


Answer: A

Mathematics

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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (1 + t)3/2i   + (1 - t)3/2j  + tk 

A. T = i + j + k; N = i  + j 
B. T = i - j + k; N = i + j 
C. T = i  - j + k; N = i + j
D. T = i - j + k; N = i + j

Mathematics

Find the specified quantity.Find the amplitude of y = -2 sin .

A.
B. -8
C. 2
D. 4

Mathematics

Use transformations of either the graph of y = ln x or y = log x to graph the given equation.y = 3.5 - 1.5 ln x

A.

B.

C.

D.

Mathematics

Solve the problem.Suppose a cost-benefit model is given by  where C is the cost in thousands of dollars for removing p percent of a given pollutant. Find C(90) to the nearest dollar and interpret it.

A. $5800; It will cost $5800 to remove 0.90% of the pollutant. B. $5220; It will cost $5220 to remove 0.90% of the pollutant. C. $52,200; It will cost $52,200 to remove 90% of the pollutant. D. $9000; It will cost $9000 to remove 90% of the pollutant.

Mathematics