Express the number
in standard notation.
Fill in the blank(s) with the appropriate word(s).
8,730
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Find the exact value of the real number y.y = tan-1 (-1)
A. 1
B. 0
C.
D.
Decide whether the given functions are inverses.f = {(3, 16), (4, 24), (5, 32), (6, 40), (7, 48)}g = {16, 3), (24, 4), (32, 5), (40, 6), (48, 7)}
A. Yes B. No
Compute the product.
A.
B.
C.
D.
Solve the problem.The intensity of light I at time t hours after sunrise and at a depth of x feet below the ocean surface is given by I(x,t) = Ioe-kx sin3 ,where D is the length of daylight in hours, Io is the intensity of light on the surface of the water at midday, and k is a positive constant. Assume D = 14, Io = 50, and k = 0.006. In a study of the effect of light on ocean plants, a scientist needs to determine the minimum depth x at which a plant would never at any time be exposed to an intensity of light greater than 25. What is this minimum depth?
A. 374 ft B. 108 ft C. 76 ft D. 116 ft