<h3>Answer: 33</h3>
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Work Shown:
8^(x+7) = 32^(x-9)
(8)^(x+7) = (32)^(x-9)
(2^3)^(x+7) = (32)^(x-9) .... replace 8 with 2^3
(2^3)^(x+7) = (2^5)^(x-9) .... replace 32 with 2^5
2^(3(x+7)) = 2^(5(x-9)) ... multiply exponents
3(x+7) = 5(x-9) ...bases are the same, exponents are the same
3x+21 = 5x-45
21+45 = 5x-3x
66 = 2x
2x = 66
x = 66/2
x = 33
Answer:
17662.5 sq. feet
Step-by-step explanation:
We know that the formula for Area of a Circle is
.
r = radius; d = diameter, which is r*2
And so, in the question, it gives you that the diameter is 150, first we divide it by 2 to get the radius.
150/2 = 75
The question said to keep
=3.14, so then we plug in the equation-

Then we use PEMDAS [Parenthesis; Exponents; Multiply & Divide; Add & Subtract] which would get us-
(first doing the Exponent)
And we continue-
(then multiple)
So our answer is-
17662.5 sq. feet
I hope this helps!
Please give brainliest!
Have a great day
Answer:
13/4 * 5/2
Step-by-step explanation:
In the question, it says that her coach wants her to run 2 1/2 TIMES the original 3/4 she had ran. Therefore, you would want to make the fractions into improper fractions, and then multiply, which is how you would get 13/4 * 5/2.