An object oscillates as it moves along the x-axis. Its displacement varies with time according to the equation x = 4 cos(πt + π/4) where t is in seconds What is the frequency of this motion?

This is equivalent to the fraction 1/2

Explanation:

The template for cosine is

y = A*cos(B(x-C)) + D

The B determines the period T

T = 2pi/B

In this case, B = pi,

T = 2pi/B

T = 2pi/pi

T = 2

The period is 2 seconds, which is the length of each cycle.

The frequency is 1 over the period

frequency = 1/(period)

F = 1/T

F = 1/2

F = 0.5

The frequency is 0.5 hertz to indicate that it completes 0.5 a cycle in 1 second. In other words, the speed of the object (so to speak) is 0.5 cycles per second.

6 on both sides and twelve on the top and the bottom

step-by-step explanation:

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.