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damaskus [11]
3 years ago
14

Paula is working on her English essay. She already has 150 words written and has planned out the rest. Paula's essay must be 3,0

00 words in length, and she types at a rate of 38 words per minute.
Which equation represents the number of words in her essay, and how many minutes, m, will it take Paula to complete it?

a) 38m - 150 = 3,000; m = 75 minutes
b) 38m - 150 = 3,000; m = 83 minutes
c) 38m + 150 = 3,000; m = 75 minutes
d) 38m + 150 = 3,000; m = 83 minutes
Mathematics
1 answer:
faltersainse [42]3 years ago
8 0
I think it is b also
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an area of a rectangle city park is 1556 square miles the width of the park is 3/7 miles what is the length in miles of the park
alina1380 [7]

Answer:

457

Step-by-step explanation:

value of 1556

explanion

7 0
2 years ago
Custom Office makes a line of executive desks. It is estimated that the total cost for making x units of their Senior Executive
Ivan

Answer:

(a) The average cost function is \bar{C}(x)=95+\frac{230000}{x}

(b) The marginal average cost function is \bar{C}'(x)=-\frac{230000}{x^2}

(c) The average cost approaches to 95 if the production level is very high.

Step-by-step explanation:

(a) Suppose C(x) is a total cost function. Then the average cost function, denoted by \bar{C}(x), is

\frac{C(x)}{x}

We know that the total cost for making x units of their Senior Executive model is given by the function

C(x) = 95x + 230000

The average cost function is

\bar{C}(x)=\frac{C(x)}{x}=\frac{95x + 230000}{x} \\\bar{C}(x)=95+\frac{230000}{x}

(b) The derivative \bar{C}'(x) of the average cost function, called the marginal average cost function, measures the rate of change of the average cost function with respect to the number of units produced.

The marginal average cost function is

\bar{C}'(x)=\frac{d}{dx}\left(95+\frac{230000}{x}\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g\\\\\frac{d}{dx}\left(95\right)+\frac{d}{dx}\left(\frac{230000}{x}\right)\\\\\bar{C}'(x)=-\frac{230000}{x^2}

(c) The average cost approaches to 95 if the production level is very high.

\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})\\\\\lim _{x\to a}\left[f\left(x\right)\pm g\left(x\right)\right]=\lim _{x\to a}f\left(x\right)\pm \lim _{x\to a}g\left(x\right)\\\\=\lim _{x\to \infty \:}\left(95\right)+\lim _{x\to \infty \:}\left(\frac{230000}{x}\right)\\\\\lim _{x\to a}c=c\\\lim _{x\to \infty \:}\left(95\right)=95\\\\\mathrm{Apply\:Infinity\:Property:}\:\lim _{x\to \infty }\left(\frac{c}{x^a}\right)=0\\\lim_{x \to \infty} (\frac{230000}{x} )=0

\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})= 95

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3 years ago
Need help please! What are the measurements of angles 1 & 2
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7 0
2 years ago
1. Simplify the expression below.<br> 2(x + 2) + 3(-x-7) -5 ( 2x - 4)
MrMuchimi

Answer: -11x+15

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5 0
3 years ago
In the drawer you have 8 black socks and 5 yellow socks, if you pick 2 socks what is the probability that pick out a black sock
Nataliya [291]

Answer:

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Step-by-step explanation:

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