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4 years ago

What is 309,099,990 in standard form

Mathematics

1 answer:

Bess [88]4 years ago

3 0

Answer:

300,000,000 + 9,000,000 + 90,000 + 9,000 + 900 + 90.

Step-by-step explanation:

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julia has 80$.she wants to purchase a nail paint set for 16$.she spends the rest of her money on earrings.each pair of earrings

EastWind [94]

The answer will be 74 hope this help :)

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3 years ago

In the diagram, which pair of angles are vertical angles?

dusya [7]

Angles 1 and 3, angles 2 and 4, angles 5 and 7, and angles 6 and 8. They are also congruent, because vertical angles are congruent.

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3 years ago

I WILL MARK YOU BRAINLIEST!!!!! What is the slope of the linear parent function?

posledela

Answer:

Step-by-step explanation:

The slope would be determined either by a graph or a equation

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3 years ago

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The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

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3 years ago

The Empire State Building weights about 7.3 x 10 ^8

kvasek [131]

Answer:

730000000 lbs?

Step-by-step explanation:

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3 years ago

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