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patriot [66]
3 years ago
13

Joey is running an experiment with a mass on a spring. Joey models the height of the mass above the table he is working on using

the equation h(t)=6.85cos(3.42t)+9, where the height is in inches and the time, t, is in seconds since he let the mass free. How many seconds, to the nearest tenth, will it take for the mass to return to its original position?
Mathematics
1 answer:
galben [10]3 years ago
5 0

Answer: 1.8 s

Step-by-step explanation:

Given

The height of the spring mass system above the table is given by

h(t)=6.85\cos (3.42t)+9

The mass is performing S.H.M with frequency \omega =3.42

and \omega T=2\pi

\therefore T=\dfrac{2\pi }{\omega}

time when mass returns to its original position

T=\dfrac{2\pi }{3.42}\\\\T=1.8\ s

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Gennadij [26K]

Answer:

2) (3,-2)

Step-by-step explanation:

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3 years ago
Neveah has created the function of f(x) = 2x+4/3 to represent the growth of her hair, where x represents the number of months si
Andre45 [30]
F(x)=2x+4/3

Replace f(x) by y:
y=2x+4/3

Solving for x:
y-4/3=2x+4/3-4/3

Subtracting the two terms on the left side of the equation:
(3y-4)/3=2x

Dividing both sides of the equation by 2:
[(3y-4)/3]/2=2x/2
[(3y-4)/3]*(1/2)=x
[(3y-4)*1]/[(3)*(2)]=x
(3y-4)/6=x
x=(3y-4)/6

Replace "x" by "f^(-1) (x)" (inverse function) and "y" by "x":
f^(-1) (x) = (3x-4)/6   Inverse function

Then, for x=6 
f^(-1) (6) = [ 3(6)-4]/6
f^(-1) (6) = (18-4)/6
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Her hair will have grown 6 after 7/3 = 2.33 months


3 0
3 years ago
Find the base <br>90% of what number is 27?​
DanielleElmas [232]

Answer:

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5 0
3 years ago
What is 7 - (-4) ? I got -24
koban [17]

Answer:

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Step-by-step explanation:

7-(-4) is 11. You must make the subtraction symbol in the middle to addition, since you have 2 negatives. Two negatives = postive. So after you do that it would be 7+4=11

Hope this helped!

6 0
3 years ago
Pizzeria Napoli sells a round pizza with diameter 16 inches and a square pizza with side length 15 inches. Which of the two shap
zavuch27 [327]

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Step-by-step explanation:

Given

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Side of square pizza a=15\ in.

Area of circle \pi r^2

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3 years ago
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