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3 years ago

A fire has started in a dry, open field and is burning in a circular area with an initial radius of 3 feet. The radius

Mathematics

1 answer:

Lerok [7]3 years ago

8 0

Answer:

g(t) = 2t+3

Step-by-step explanation:

You want a definition of g(t) so you can write the equation ...

r = g(t) . . . . . . radius is a function of time

We are told the radius at t=0 is 3, so the third choice is the obvious one:

g(t) = 2t +3 . . . . . radius t seconds after the radius began increasing

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Given the following sequence, find the 14th term: 3, 1, –1, –3, –5, . . .

AVprozaik [17]

3, 1, -1, -3, -5
-2 -2 -2 -2

a(n) = a₁ + d(n - 1)
a(n) = 3 - 2(n - 1)
a(n) = 3 - 2(n) + 2(1)
a(n) = 3 - 2n + 2
a(n) = -2n + 3 + 2
a(n) = -2n + 5
a₁₄ = -2(14) + 5
a₁₄ = -28 + 5
a₁₄ = -23

The answer is C.

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3 years ago

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The train travels at a constant speed. What is its speed? please hurry

jarptica [38.1K]

Answer:

300 km in hour are the answers

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3 years ago

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

Just give answers to blanck ones just give me The answers cause I don't want no explaining because I'm Savage

Airida [17]

Omg wow bruh #savageaf

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3 years ago

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a wooden board is 1.848 meters long. What is the value of the digit 4 in the number? write your answer as a decimal and as a fra

drek231 [11]

The value of 4 in 1.848 meter is 4 hundredths or 0.04. The fraction form for 4 hundredths is 4 over 100 or 1 over 25

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3 years ago