Find the requested vector.v = 4i + 4j + kFind a vector orthogonal to both v and i + k.

A. -3i + 5j + 3k
B. i - j + 3k
C. -3i + 3j + 3k
D. 4i - 3j - 4k


Answer: D

Mathematics

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An object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in meters . Find the maximum displacement, the frequency, and the time required for one cycle.d = -6 sin 5t meters

A. displacement = -6 meters; period = 5 ? seconds; f =  oscillations/second
B. displacement = 6 meters; period =  ? seconds; f =  oscillations/second
C. displacement = 6 meters; period =  seconds; f =  ? oscillations/second
D. displacement = -6 meters; period =  ? seconds; f =  oscillations/second

Mathematics

Solve the problem.The graph models the monthly average temperature y in degrees Fahrenheit for a city in the United States, where x is the month. Find and interpret the amplitude.

A. The amplitude is 28 and represents the temperature range. B. The amplitude is 56 and represents half of the temperature range. C. The amplitude is 59 and represents the midpoint of the monthly average temperatures. D. The amplitude is 28 and represents half of the temperature range.

Mathematics

Simplify. Assume that no denominator is zero and 00 is not considered.78 ? 72

A. 1410 B. 716 C. 710 D. 4916

Mathematics

Find the slope of the line.

A. 6
B. -6
C.
D.

Mathematics