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Marta_Voda [28]
3 years ago
12

Robby and his friend, Sal, are at the top of a lookout tower. Sal dares Robby to drop one of his favorite pair of Jordan's from

the top of the 250-foot platform. The height h of the shoe in feet after t seconds is modeled by the function h(t)=-16^2+250. How long will it take, in seconds, for the shoe to reach the ground?
Mathematics
1 answer:
Gnom [1K]3 years ago
3 0
When it will hit the ground then height is 0
<span>h(t)=-16^2+250
-16^2+250=0
16t^2=250
t^2=250/16
t=3.95 seconds

i hope this is right</span>
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The two triangles formed will be ADB and BCD

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Evgesh-ka [11]
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3 years ago
Jada walks up to a tank of water that can hold up to 10 gallons.When it is active, a drain empties water from the tank at a cons
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Answer:

<em>Part A)</em><em>The amount of water in the tank is changing at </em><em>-2/3 gallons per minute. </em>

<em>Part B) </em><em>it will take </em><em>7.5 minutes</em><em> for the tank to drain completely.</em>

<em>Part C) </em><em>The water tank was completely full </em><em>4.5 minutes</em><em> before Jada arrived.</em>

Step-by-step explanation:

<em>Information fetching:</em>

  • Tank of water can hold up-to 10 gallons.
  • When it is active, a drain empties water from the tank at a constant rate.
  • 7 gallons of water present in the tank when Jade first saw
  • 5 gallons of water left after 3 minutes

<em>Part A) At what rate is the amount of water in the tank changing?</em>

As the gallons were decreased from 7 to 5 in three minutes. It means in three minutes, 2 gallons were decreased.

So, gallons per minute change would be <em>-2/3 gallons per minute. </em>Hence, <em>the amount of water in the tank is changing at </em><em>-2/3 gallons per minute. </em>

<u><em>Note</em></u><u><em>: </em></u><u>negative sign indicates the number of gallons of water are decreasing.</u>

<em>Part B) How many more minutes will it take for the tank to drain completely.</em>

Let 'm' be the number of minutes will it take for the tank to drain completely.

As,

(2/3 gallons per minute) (m minutes) = 5 gallons

So,

    m = 5 (3/2)

      = 15/2

      = 7.5 minutes

<em>So, it will take </em><em>7.5 minutes</em><em> for the tank to drain completely.</em>

<em>Part C) How many minutes before Jada arrived was the water tank completely full</em>

As tank of water can hold up to 10 gallons. So, the tank of water is full when there is 10 gallons of water. So, this is 3 gallons of water more than the total 7 number of gallons at the time when Jada arrived.

As Jada arrived when the tank had left 7 gallons.

Let 'm' be the number of minutes before Jada arrived when the water tank was completely full.

So,

    (2/3) (m) = 3

    m = 3(3/2) = 9/2

        = 4.5 minutes

<em>So, the water tank was completely full </em><em>4.5 minutes</em><em> before Jada arrived.</em>

<em />

<em>Keywords: time rate of change, time</em>

<em> Learn more about time rate of change from brainly.com/question/6279456</em>

<em> #LearnwithBrainly </em>

3 0
3 years ago
If a person lnvests $120 at 8% annual interest, find the approximate value of the investment at the end of 5 years
Pie

Answer:

$176.3193692 or $176.32 (rounded to two decimal places)

Step-by-step explanation:

It is a compound interest, which means the interest accumulates on an initial amount each period.

The formula is A=P(1+R)^n

A= the total amount P=initial amount      R=rate   n=time (years)

P=$120   Rate= 8% or 0.08 (decimal)  n=5 (years)

A=120 (1+0.08)^2

A=120 (1.469328077)

A= 176.3193692

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There is no way this is a middle school question
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