Answer:
1st one
Step-by-step explanation:
Answer:t=1
Step-by-step explanation:
16-2t=t+9+4t
Collect like terms
4t+2t+t=16-9
Combine like terms
7t=7
Divide both sides by 7
7t ➗ 7=7 ➗ 7
t=1
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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<span>First we calculate z using the formula:
z = (x - μ)/σ</span>
Where:
x = our variable, 10
μ = mean, 8
σ = standard dev, 2
Substituting known
values:<span>
z = (10 - 8)/2
z = 2/2
z = 1
Using the tables of
the normal distribution to find the p-value with z = 1
p = 0.8413
Since we want
"greater than 10”, we need to subtract the probability from 1
therefore
p* = 1 - 0.8413 = <span>0.1587</span></span>
EXPLANATION:
10 - ( 3 + 2*2 ) + 4
=> 10 - ( 3 + 4 ) + 4
=> 10 - 7 + 4
=> 3 + 4
=> 7
ANSWER: A. 7
Hope it helps u!