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Ket [755]
3 years ago
9

To function properly, a rainwater outflow pipe must drop exactly 1 inch for every 25 inches of horizontal distance. A 40 feet lo

ng rainwater pipe runs under the edge of a root. What is the verifical distance, in inches, the pipe must drop between its ends? Round your answer to the nearest tenth.
Mathematics
1 answer:
Savatey [412]3 years ago
8 0
1 inch drop for every 25 inches length
40 feet= 12 x 40 = 480 inches
There are 19.2-25 inch lengths in 480 inches.
So there is a  19.2 inch drop  in 40 feet. 

Hope this helps :)

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Nitella [24]

Answer:

x = 5.2

Step-by-step explanation:

f(x) = -5x + 11 + 3

Let's first simplify our first function:

f(x) = -5x + 11 + 3\\f(x) = -5x + 14

Now, we just need to set this function equal to our other given function.

f(x) = -5x+14\\f(x) = -12\\-5x + 14 = -12

Now, we can add 12 to both sides:

-5x + 14 + 12 = -12 + 12\\-5x + 26 = 0

Now, add 5x to both sides:

-5x+26 = 0\\26 = 5x\\

Finally, we'll divide both sides by 5:

26/5 = 5x / 5\\5.2 = x\\x = 5.2

Answer: x = 5.2

6 0
3 years ago
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What is 10 exponent 2+24 divided (12-2 exponent 3)???
pychu [463]

Answer:

106

Step-by-step explanation:

I am almost 100% sure that that is the correct answer, it's been a long time since I have worked with exponents lol.

Hope this helps and please feel free to comment, give feedback, ask questions, and correct me if I am wrong!

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2 years ago
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Liz flips a coin 30 times. The coin lands heads up 21 times and tails up 9 times. Complete each
SSSSS [86.1K]

Answer:

Pr = 0.50

Step-by-step explanation:

Given

n = 30

H = 21

T = 9

See attachment for complete question

Required

P(H)

The question requires that we calculate the theoretical probability of landing on the head.

This means that, we have to ignore the given data, and we use the following

S =\{H,T\} --- sample space

n(S) = 2 --- sample size

n(H) = 1 --- occurrence of Head

So, the theoretical probability is:

Pr = n(H)/n(S)

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8 0
3 years ago
Is (6, -24) a solution to the equation: y = -7x + 18? ¿Es (6.-24)
KatRina [158]

i think that's the answer

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3 years ago
Olivia's team played 8 games of basketball. During those 8 games her team's score was: 70, 67, 79, 66, 64, 80, 64 and 75. Find t
castortr0y [4]

Answer:

70.6

Step-by-step explanation:

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To find it, add up all the terms and divide it by the number of terms.

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565 / 8 = 70.625

Rounding this to the nearest tenth, we get an answer of 70.6

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2 years ago
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