Provide an appropriate response.Use a calculator to find: ln 91 Round to thousandths.

Fill in the blank(s) with the appropriate word(s).


4.511

Mathematics

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Solve the problem.In a particular situation, the pressure, P, exerted on a person's eardrum at a distance of 12 feet from the source is given by the function:  where n is a positive integer. Use the difference identity for cosine to simplify P(t).

A. P(t) =  cos (ct)
B. P(t) =  cos (ct + 12)
C. P(t) =  cos (ct) -  sin (ct)
D. P(t) = cos (ct)

Mathematics

Determine an appropriate viewing window for the given function and use it to display its graph.f(x) = 

A.

B.

C.

D.

Mathematics

Find an equation of a parabola that satisfies the given conditions.Vertex (-3, -8), focus (-3, -14)

A. 24(y - 3) = (x - 8)2  B. 24(y + 8) = -(x + 3)2  C. 56(y - 8) = -(x - 3)2  D. 24(y - 8) = (x - 3)2 

Mathematics

Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.-5x2 + 19x + 4

A. Prime B. (-5x + 1)(x - 4) C. -(5x - 1)(x + 4) D. -(5x + 1)(x - 4)

Mathematics