Solve the problem.The average daily temperature T of a city in the United States is approximated by T = 55 - 23 cos (t -30)where t is in days, 1 ? t ? 365, and t = 1 corresponds to January 1. Find the period of T.

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


365 days

Mathematics

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Answer the question.To complete the square from an equation in the form x2 - ax = b, is it ever appropriate to subtract a positive number from each side?

What will be an ideal response?

Mathematics

Find the function value.Let g(x) = 4x3. Find g(5 + h).

A. -500 + 300h - 12h2 + h3 B. 500 + 300h + 60h2 + 4h3 C. 500 - 300h + 40h2 - 4h3 D. 125 + 75h + 60h2 + 5h3

Mathematics

Solve the system of equations by finding the reduced row echelon form for the augmented matrix. x - y + 4z = 135x+ z= 3 x + 4y + z = -1

A. (3, 0, -1) B. (3, -1, 0) C. (0, -1, 3) D. No solution

Mathematics

A point P(x, y) in rectangular coordinates is given. Determine the polar coordinates  such that  and (3, -3)

A.
B.
C.
D.

Mathematics