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Vlad [161]
3 years ago
13

The freefall function to calculate velocity, v, of an object that begins at rest and falls for distance d is v(d) = 2gd , where

g is the acceleration due to gravity. The Storm Runner roller coaster at Hershey Park drops 55 m. Use the free-fall function to calculate to the nearest tenth its velocity at the end of the freefall. Use g = 9.8 m/s2 Enter your answer, rounded to the nearest tenth, in the box. v(55) = m/s​
Mathematics
1 answer:
andrey2020 [161]3 years ago
3 0

9514 1404 393

Answer:

  32.8 m/s

Step-by-step explanation:

The function is actually ...

  v(d) = \sqrt{2gd}

Filling in the given values, the velocity is about ...

  v(55) = \sqrt{2\cdot9.8\cdot55}=\sqrt{1078}\approx32.8\text{ m/s}

The velocity at the end of the free-fall is about 32.8 meters per second.

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Bobby wants to go on a school trip that will cost him $250. He comes up with an equation that represents how much he needs to sa
monitta
Yes, Bobby will have enough money if he saves for 9 weeks. You can find this through either substituting w for 9 in the equation, or solving the equation itself. 

Substituting:

25(9)+30
Substitute w for 9. 

225+30
Simplify. 

225+30=255
Solve. 

255 is greater than 250, so yes, he will have enough money saved. 


Solving the equation:

25w+30=250
Original Equation

25w=220
Subtract 30 from both sides. 

w=8.8
Divide both sides by 25. 

The number of weeks he needs is 8.8. When rounding it up, you get 9. 


4 0
3 years ago
A study on how circus ticket pricing influences ticket sales shows that there is an average increase of 4 people for every $3 de
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Let the price of a ticket be originally T dollars, and the number of clients be N.

let the price decrease by x  3-dollars.

"there is an average increase of 4 people for every $3 decrease on the price of the ticket."

means:

if the price is decreased by 1-3$:
 then N become N+4, and T becomes T-3    


if the price is decreased by 2-3$:
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 So if the price is decrease by x-3 dollars:

N  becomes N+4x, and T becomes T-3x


"A circus owner sells an average of 340 tickets when the price of a ticket is $75."

In this case N=340, and T=75$

If the owner does not change the price ticket, x=0, the revenue is 340*75,

If the owner decreases the price of the tickets by x-3$, then the revenue will be 
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If R is the function of the revenue depending on x, then 

R(x)=(340+4x)(75-3x) dollars

 
Answer: R(x)=(340+4x)(75-3x) dollars

8 0
4 years ago
PLEASE HELP IM CONFUSED! Find what the measurements of angles a-c are and state the reason
nata0808 [166]

Answer:

<a = 90°   (180-90 supplementary angle)

<b = 90°   (180-90 supplementary angle)

<d = 48°   (180-132 supplementary angle)

<e = 132°  (opposite angle)

<c = 42°     (interior angles of a triangle equal 180.  180-48-90=42)

Step-by-step explanation:

<a = 90°   (180-90 supplementary angle)

<b = 90°   (180-90 supplementary angle)

<d = 48°   (180-132 supplementary angle)

<e = 132°  (opposite angle)

<c = 42°     (interior angles of a triangle equal 180.  180-48-90=42)

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fomenos

Answer:

The answer is A. 133

Step-by-step explanation:

84 + 92 + 87 + 104 = 367

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3 years ago
Charlotte has appointed a chairperson to lead a city beautification project. The first act is to install statues and fountains i
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Answer:

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Assuming no other cash flow adjustments than those listed above, create a statement of cash flows with amounts in thousands....

Step-by-step explanation:

<h2>plz bhai mera answer ko brainliest kar do...</h2>
8 0
3 years ago
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