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lana66690 [7]
4 years ago
14

Suppose you are filling an Olympic-size swimming pool at a rate of 16,000 gallons per hour. The pool will hold a total of 648,00

0 gallons of water. You've been filling the pool for 12 hours. How many more hours until the pool is full?
Mathematics
1 answer:
STALIN [3.7K]4 years ago
3 0
I think you would divide 16,000 gallons per hour by, 12 hours.
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F(x)+x^2-3x-2x is shifted 4 units left. The result is g(x). What is g(x)
otez555 [7]

Answer:

g(x) = x² + 5x + 2

Step-by-step explanation:

If a function is f(x) = x²

And this function is shifted 4 units left then the rule to be followed is,

g(x) = f(x + 4)

Following the same rule,

For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,

g(x) = f(x + 4)

g(x) = (x + 4)² - 3(x + 4) - 2

      = x² + 8x + 16 - 3x - 12 - 2

      = x² + 5x + 2

Therefore, g(x) = x² + 5x + 2 will be the transformed function.

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3 years ago
Hcf and lcm of 54,18,90
Inessa05 [86]
HCF is 6

That should be your answer

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8 0
3 years ago
△PQR has two known interior angles of 34°, and 80°. △RST has two known interior angles of 24°, and 90°. What can be determined a
Nonamiya [84]
B.the triangles are not similar
7 0
3 years ago
If you invested $600 at 3% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentence
zzz [600]

Answer:

I would rather do the second option of which uses Compound interest that will give a profit of $47.85

Step-by-step explanation:

In this problem we will be exploring the two formulas

1. simple interest

A= P(1+r*t)

2. compound interest

A= P(1+r/n)^nt

Where A= final amount

P= initial amount

r= rate

t= time.

n= number of periods Compounded

1.given data

P= $600

r= 3%= 3/100= 0.03

t= 2 years

A= 600(1+0.03*2)

A= 600(1+0.06)

A= 600(1.06)

A= $636

Interest = 636-600= $36

2. Given data

P= $600

r= 4%= 4/100= 0.04

n= 24

t= 2

A= 600(1+0.04/24)^24*2

A=600(1+0.0016)^48

A=600(1.0016)^48

A= 600*1.07975

A= 647.85

Interest = 647.85-600= $47.85

7 0
3 years ago
Simplify:(-3x)(-2x5)
Sergio039 [100]

Answer: 30x

Multiply  

−

2

by  

5

.

−

3

x

⋅

−

10

Multiply  

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by  

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30

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5 0
3 years ago
Read 2 more answers
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