Solve.Consider the formula T = 591 - 76 cos 2?, where ? is measured in degrees. To the nearest hundredth of a degree, what is the smallest positive value of ? for which the value of T will be 556?
A. 65.58°
B. 28.29°
C. 62.58°
D. 31.29°
Answer: D
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Non-zero vectors v and w are given. Determine the vector decomposition of v into orthogonal components v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = i + 7j; w = i + j
A. v1 = 8i + 8j, v2 = -6i + 6j
B. v1 = 
i + 
j, v2 = - 
i + 
j
C. v1 = 4i + 4j), v2 = -3i + 3j
D. v1 = 4i + 4j, v2 = 3i - 3j
Solve the problem.To convert a temperature F given in degrees Fahrenheit to an equivalent temperature C in degrees Celsius, use the formula C = 
. Find the Celsius temperature that is equivalent to a temperature of 
A. 141°C B. 91°C C. 105°C D. 430°C
Match the function f with its graph.f(x) = log1/2(x + 2)
A. 
B. 
C. 
D. 
Solve by factoring completely. If three identical cubes have a total volume of 3x3 + 27x2 + 81x + 81, find the length of one of the sides of one of the cubes.
A. x + 3 B. (x + 3)2 C. x - 3 D. 3(x + 3)