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SVEN [57.7K]
1 year ago
15

The equation that models the current water temperature t of the swimming pool is t -6=78 which best describes the error made whe

n solving for the current temperature
Mathematics
1 answer:
Serga [27]1 year ago
3 0
78! is the answer to this question! trust! -6
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For the cost function, find the marginal cost at the given production level x. State the units of measurement. (All costs are in
baherus [9]

Answer:

The marginal cost at the given production level is $49.9.

Step-by-step explanation:

The marginal cost function is expressed as the first derivative of the total cost function with respect to quantity (x).

We have that the cost function is given by

C(x) = 15000 + 50x + \frac{1000}{x}

So, we need the derivative and then we’ll need to compute the value x = 100 of the derivative.

C'(x)=\frac{d}{dx}\left(15000+50x+\frac{1000}{x}\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\C'(x)=\frac{d}{dx}\left(15000\right)+\frac{d}{dx}\left(50x\right)+\frac{d}{dx}\left(\frac{1000}{x}\right)\\\\C'(x)=0+50-\frac{1000}{x^2}\\\\C'(x)=50-\frac{1000}{x^2}

When x = 100, the marginal cost is

C'(100)=-\frac{1000}{100^2}+50\\\\C'(100)=\frac{499}{10}=49.9

6 0
3 years ago
marty has 80 to spend at a sporting goods store. he will spend 56 on a shirt, and then buy some darts. each box of darts cost 6.
Mariana [72]

Next time, Shay, please include the instructions. I'm assuming that our job here is to determine the largest # of boxes of darts that can be purchased.


Shirt cost + x(box of darts cost) = Initial amount

$56 + x($6/box) = $80


Then 56 + 6x = 80, or 6x= 24, or x = 4. He can buy 4 boxes of darts.


8 0
3 years ago
HELP !!!!<br><br> Evaluate the expression for the given value of the variable <br><br> 60/m; m = 5
Savatey [412]

Answer: 12

Step-by-step explanation:

5 0
2 years ago
Isabel is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Co
marissa [1.9K]
90 < 0.60m + 75
90 - 75 < 0.60m
15 < 0.60m
15/0.60 < m
25 < m.....company A charges less at 24 miles or less
7 0
3 years ago
Find the volume of a right circular cone that has a height of 3.2m and a base with a radius of 14.1m. Round your answer to neare
Serga [27]
55 to 2 so it is 14.20
6 0
2 years ago
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