Answer: x=4
Step-by-step explanation:
-8-x=x-4x
-8-x=-3x
-8=-2x
x=4
In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
<h3>What is simple harmonic motion?</h3>
Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.
We have:
Amplitude A = 6 cm
Time period = 8 seconds
T = 2π/w
8 = 2π/w
w = π/4
Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.
d(0) = -6 cm at t = 0
The equation becomes:

Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
Learn more about the simple harmonic motion here:
brainly.com/question/17315536
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The value of k should be 2.
if you plug the y value of the point in the equation for y and do the same with x you should be able to get this answer after fallowing the order of operation.
Answer:
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<em>The last option matches the correct solution</em>
Step-by-step explanation:
<u>Equation Solving</u>
We have the following equation:

And it's required to solve it for r.
Solving this equation needs to perform some operations to have the r isolated from any other variables or constants.
It can be done by conveniently operating on both sides as follows:
Eliminate the denominator by multiplying by 3:

Move
to the other side by dividing by
:

Swapping sides to have r at the left side:

Finally, take the cubic root and leave r alone:
![\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%20r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D)
The last option matches the correct solution
The 10 sharpies because you get more for less because if you by 7 you get less for more with that amount.