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3 years ago

Jacob is trying to solve 15 ÷ 5 using an array. Below is his work

Mathematics

1 answer:

tino4ka555 [31]3 years ago

6 0

Solve it and double check you answer divide it and you get it if anything round by 2

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If 75% of a full budget is $1,200, what is the full budget? Using a table

Zepler [3.9K]

Answer:1600

Step-by-step explanation:

75/1200=100/x

75x=120000

/75

×=1600

3 0

3 years ago

Find the surface area, to the nearest square inch, of a cone with radius 6 inches and slant height 8 inches.

slega [8]

Answer:

Step-by-step explanation:

8 0

3 years ago

If r=10 and s=31, find R. Round to the nearest tenth.

mars1129 [50]

Answer:

C. R = 17.9 degrees

Step-by-step explanation:

We have a rectangle triangle with the adjacent side and the opposite side (neither of which are the hypotenuse).

The relation between those elements is the tangent:

$tan(angle) = \frac{Opposite side}{Adjacent side}$

So, to isolate the angle, we modify the formula as such:

$angle = arctan(\frac{Opposite side}{Adjacent side}) = arctan(\frac{10}{31}) = arctan(0.3225) = 17.87$

If we round 17.87 degrees to the tenth... we get 17.9 degrees.

5 0

2 years ago

Read 2 more answers

41. Consider the perimeter of the triangle shown. First, find the length of the hypotenuse.

marysya [2.9K]

Use the Pythagorean theorem!

This principle applies to any right triangles.

This states the relationship between the sides that

(7)² + (24)² = x²

All you have to do is simplify at this point.

49 + 576 = x²

625 = x²

√ √

x = 25

You should try to memorize this right triangle. It can be very helpful in fast questionnaires, such as the SAT.

6 0

2 years ago

Read 2 more answers

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.

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

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

6 0

3 years ago