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3 years ago

Nate mother drives 225 miles to work each month how many miles do she drives in one year show work

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

7 0

Answer:

2700

Step-by-step explanation:

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Find the percent increase. Round to the nearest percent.<br> From 17 friends to 19 friends

enyata [817]

I do believe it would be 12 percent, if rounded.

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2 years ago

The expression 6(x − 5) means

nordsb [41]

Answer:

6x - 30

Step-by-step explanation:

you do x-5 6 times

it could also be a word explanation

the value of x minus 5 and the result multiplied by 6

4 0

1 year ago

Kelly earns $178.50 in interest on an account that earns simple interest at a rate of 4%. If she kept the money in the account f

Otrada [13]

Answer:

$892.50

Step-by-step explanation:

The amount of interest earned is given by ...

I = Prt

Filling in the given values, we have ...

$178.50 = P·0.04·5

Dividing by 0.20 gives ...

$178.50/0.20 = P = $892.50

The principal amount in Kelly's account is $892.50.

7 0

2 years ago

Differentiate with respect to X <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7Bcos2x%7D%7B1%20%2Bsin2x%20%7D%20

Mice21 [21]

Power and chain rule (where the power rule kicks in because $\sqrt x=x^{1/2}$ ):

$\left(\sqrt{\dfrac{\cos(2x)}{1+\sin(2x)}}\right)'=\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'$

Simplify the leading term as

$\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}$

Quotient rule:

$\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'=\dfrac{(1+\sin(2x))(\cos(2x))'-\cos(2x)(1+\sin(2x))'}{(1+\sin(2x))^2}$

Chain rule:

$(\cos(2x))'=-\sin(2x)(2x)'=-2\sin(2x)$

$(1+\sin(2x))'=\cos(2x)(2x)'=2\cos(2x)$

Put everything together and simplify:

$\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{(1+\sin(2x))(-2\sin(2x))-\cos(2x)(2\cos(2x))}{(1+\sin(2x))^2}$

$=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2\sin^2(2x)-2\cos^2(2x)}{(1+\sin(2x))^2}$

$=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2}{(1+\sin(2x))^2}$

$=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac{\sin(2x)+1}{(1+\sin(2x))^2}$

$=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac1{1+\sin(2x)}$

$=-\dfrac1{\sqrt{\cos(2x)}}\dfrac1{\sqrt{1+\sin(2x)}}$

$=\boxed{-\dfrac1{\sqrt{\cos(2x)(1+\sin(2x))}}}$

5 0

2 years ago

What are some good hair dyes? that won’t damage my hair (comment too)

Mashutka [201]

Artic fox is pretty good!! It also smells really good :) I definitely recommend it

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2 years ago