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iris [78.8K]
4 years ago
13

In attempting to calculate the carrying capacity of a cylindrical pipe, Avery measured the outer diameter to be 2 inches, neglec

ting to notice that the pipe was one eighth of an inch thick. By what percent did Avery overestimate the carrying capacity of the pipe?
Mathematics
1 answer:
andreev551 [17]4 years ago
4 0
Volume of the pipe = πr^2l
Wrong measure = π x (2)^2 x l = 4πl
Correct measure = π x (2 - 2(1/8))^2 x l = 49/16πl
error = 4πl - 49/16πl = 15/16πl

% error = ((15/16πl) / 49/16πl) x 100% = 30.6%
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a person bought 8 items at a market and received $8 in change. if each item was priced at $4, how much did the person give the v
mariarad [96]

If a person bought 8 items and each item was priced at $4, that means the total amount spent was $32.

(8)(4)=32

The person received 8 dollars in change. This means that the person payed 8 dollars more than what they spent. Well, we just found out how much they spent, so we can find out how much money the person gave the vendor.

Let p = amount of money paid by the person.

32+8=p

p=40

The person gave the vendor $40.

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3 years ago
Given the following functions f(x) and g(x), solve (f + g)(5) and select the correct answer below: f(x)=2x^2-10 g(x)=x+9
steposvetlana [31]

Answer:

\large\boxed{(f+g)(5)=54}

Step-by-step explanation:

f(x)=2x^2-10,\ g(x)=x+9\\\\(f+g)(x)=f(x)+g(x)\\\\\text{Substitute:}\\\\(f+g)(x)=(2x^2-10)+(x+9)=2x^2-10+x+9=2x^2+x+(-10+9)\\\\(f+g)(x)=2x^2+x-1\\\\(f+g)(x)(5)\to\text{put x = 5 to the equation of the function:}\\\\(f+g)(5)=2(5^2)+5-1=2(25)+5-1=50+5-1=54

8 0
3 years ago
In great detail, with full work done out, please find x<br> 1 + x = 2
kenny6666 [7]

Answer:

x = 1

Step-by-step explanation:

1 + x = 2

Subtract 1 form both sides,

1 + x - 1 = 2 - 1

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2 years ago
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Simplify the expression.

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4 years ago
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-3\frac{1}{12}

Step-by-step explanation:

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