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Liono4ka [1.6K]
2 years ago
5

An above-ground swimming pool is leaking. The function h(d) = 48 - 1. 5d gives the height of the water in the pool in inches d d

ays after the leak began.
Part A: Evaluate h(0). Show your work. What does this value represent in the problem?
Part B: Evaluate h(5). Show your work. What does this value represent in the problem?
Part C: Write and solve an equation to determine how long it will take the pool to empty if the leak is not repaired. Explain how you set up your equation.
Part D.
Based on your answers above, should the domain for this function be restricted? If not, explain why not. If so, explain why and give the restricted domain. !!!!! Please help don’t give fake answers!!!!
Mathematics
1 answer:
MAXImum [283]2 years ago
5 0

Answer:

A) 48 in : initial height of the water

B) 40.5 in : height of the water after 5 days

C) 32 days

D) Yes, should be restricted.

Domain: 0 ≤ d ≤ 32

Step-by-step explanation:

h(d) = 48 - 1. 5d

A)  

h(0) = 48 - 1. 5(0)=48

48 in is the initial height of the water

B)

h(5) = 48 - 1. 5(5)=48-7.5=40.5

40.5 in is the height of the water after 5 days

C) when the pool is empty, h = 0.

So set the equation to zero and solve for d.

\implies 48 - 1. 5d=0\\\\\implies 1.5d=48\\\\\implies d=\dfrac{48}{1.5}\\\\\implies d=32

D) Yes, the domain should be restricted because when d > 32, h < 0 and the height of the water in the pool cannot be negative

Domain: 0 ≤ d ≤ 32

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5 0
3 years ago
a figure is translated by (x-5,y+7), then by (x+5,y-7). Without graphing, what is the final position of the figure?
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Without graphing, the final position of the figure that is translated by (x - 5, y + 7), and then by (x + 5, y - 7) ends up in the same position it was, before the translations.

 

Let’s check this example:

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To add, a geometric transformation<span> that changes every point of a space by the same amount in a given direction or a figure is called a translation.</span>

8 0
3 years ago
A store is advertising a 25% off sale. Mikale purchases a swimming pool for $225. What was the original price of the pool?
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3 years ago
if an area can be washed at a rate of 4,900 cm2/ minute, how many square inches can be washed per hour?
Olenka [21]

Answer : 4.5 × 10⁴ square inches can be washed per hour.

Step-by-step explanation :

As we are given that an area can be washed at a rate of 4,900 cm²/min. Now we have to determine the square inches can be washed per hour.

Given conversions are:

1 cm = 0.39 in    and    1 hr = 60 min

As, 1 cm² = (0.39)² in²    and    1 min = 1/60 hr

So, 1cm^2/min=(0.39)^2\times 60in^2/hr

1cm^2/min=9.126in^2/hr

Now we have to determine the square inches can be washed per hour.

As, 1cm^2/min=9.126in^2/hr

So, 4900cm^2/min=\frac{4900cm^2/min}{1cm^2/min}\times 9.126in^2/hr=44717.4in^2/hr=4.5\times 10^4in^2/hr

Therefore, 4.5 × 10⁴ square inches can be washed per hour.

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3 years ago
Vector u has its initial point at (17, 5) and its terminal point at (9, -12). Vector v has its initial point at (12, 4) and its
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