Solve the problem.An object in simple harmonic motion has a frequency of  oscillations per second and an amplitude of 6 feet. Write an equation in the form d = a sin ?t for the object's simple harmonic motion.

A. d = 6 sin 
B. d = 6 sin 
C. d = 6 sin 5?t
D. d = 6 sin 


Answer: C

Mathematics

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Divide and simplify.

A. 12x - 5  
B. 8x + 20x5 + 
C. 8x - 5  
D. 8x - 5 + 

Mathematics

Solve the problem.Suppose that the population of a certain city during a certain time period can be approximated by  where x is time in years since 2010. By sketching a graph of P(x), estimate during what time period the population of the city would be increasing.

A. Between 2015 and 2045 B. Between 2010 and 2024 C. Between 2015 and 2038 D. Between 2010 and 2038

Mathematics

Decide whether or not the ordered pair is a solution to the equation.-6x + 18y = 24; (-1, 1)

A. Yes B. No

Mathematics

Describe how to transform the graph of the basic function g(x) into the graph of the given function f(x).f(x) = - 7 ln (- x); g(x) = ln x

A. Reflect across the x-axis and translate 7 units down. B. Reflect across the x-axis and the y-axis and vertically stretch by a factor of 7. C. Reflect across the y-axis and vertically stretch by a factor of 7. D. Reflect across the x-axis and the y-axis and translate7 units down.

Mathematics