Write the equation for the plane.The plane through the point P(-6, 6, -7) and normal to n = -3i - 6j + 4k.
A. -6x + 6y + 7z = 82
B. 6x - 6y - 7z = 82
C. 3x + 6y - 4z = 82
D. -3x - 6y + 4z = -46
Answer: D
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Factor. Check by multiplying.3s + 12 + 30t
A. 3(s + 12 + 10t) B. 3(s + 4 + 10t) C. 30(s + 4 + t) D. 3(s + 12 + 30t)
Solve the problem.A runner is competing in an 8-mile race. As the runner passes each miles marker (M), a steward records the time elapsed in minutes (t) since the beginning of the race, as shown in the table. What is the runner's average speed over the first 4 miles? Round your answer to four decimal places.
A. 0.0649 miles/min B. 13.7552 miles/min C. 0.0862 miles/min D. 0.0727 miles/min
Solve the problem.Consider the graph of f(x) = 
, 0 ? x ? 1. What symmetry does the graph have? Is f its own inverse?
A. The graph of f has no symmetry. The function f is not its own inverse because there is no symmetry.
B. The graph of f is symmetric with respect to the line y = x. The function f is its own inverse because (f?f)(x) = x.
C. The graph of f is symmetric with respect to the y-axis. The function f is its own inverse because (f?f)(x) = x.
D. The graph of f is symmetric with respect to the y-axis. The function f is not its own inverse because (f?f)(x) = 
.
Solve the problem. If necessary, round your result to the nearest tenth unless instructed differently. The precise value of your approximation may depend on the conversion path that you choose.Andrea's sleeping bag is designed for camping in temperatures of -3°C or warmer. For what Fahrenheit temperatures is her sleeping bag designed? Round to the nearest tenth of a degree.
A. 26.6° F or warmer B. -19.4° F or warmer C. -33.7° F or warmer D. 52.2° F or warmer