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sladkih [1.3K]
4 years ago
11

What's a number greater than 40 whose prime factorization contains 3 prime numbers that do not repeat

Mathematics
1 answer:
Leya [2.2K]4 years ago
3 0
Well to make it easy pick 3 prime numbers. In this case I'll use 3, 11, and 13. Multiply all 3 together to get 429. For the second part, pick a prime number and multiply it by 3, in this case 3, which when multiplied by 3 equals 9. Multiply that by a prime number squared, like 11 which is 121. Then multiply by 13. 3x3x3x11x11x13 = 42471 THE CREDIT GOES TO ICEDRAPTOR
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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
23.75 into a fraction
Furkat [3]

Answer:

exact answer 91/4 the mixed fraction is 23 3/4 and then

Step-by-step explanation:

23+1/2+1/4=23 3/4


5 0
3 years ago
How do you find the answer to this?
Stels [109]

Answer:

  D)  {-1}

Step-by-step explanation:

A rational expression is "not defined" when its denominator is zero. Hence to find values of x that make the expression "not defined," you solve the equation ...

  denominator = 0

  2x +2 = 0 . . . . . . put the actual denominator into the equation

  x + 1 = 0 . . . . . divide by 2

  x = -1 . . . . . . . . subtract 1

The expression is "not defined" for x in the set {-1}.

3 0
3 years ago
The side length of a square 12x + 32. Write an equivalent expression that shows the perimeter as four times the side length of t
hram777 [196]

Answer:

4(12x + 32) = 48x + 128

Step-by-step explanation:

3 0
3 years ago
What is 3/4 written as a percentage
Taya2010 [7]

Answer:

75%

Convert 3/4 to a percent. Begin by converting the fraction 3/4 into decimal. Multiply the decimal by 100 and write the result with the percentage sign: 0.75 × 100 = 75%.

Step-by-step explanation:

4 0
3 years ago
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