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1 year ago

If 2% of a number equals 8, find 10% of that number.

Mathematics

1 answer:

torisob [31]1 year ago

7 0

Answer:

Step-by-step explanation:

2% of 400 is 8

400 x 0.02 = 8

10% of 400 is 40

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2 years ago

Give the product in simplest form: (pic below)

stellarik [79]

Answer:

26/3

Step-by-step explanation:

First, you need to turn the fractions from mixed form to improper fractions.

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2 years ago

Differentiate y=x⁴(1-2x⁵)⁶(5-8x³)².

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Step-by-step explanation:

Let $y(x)=f(x)g(x)h(x)$ where

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$g(x)= (1 -2x^5)^6$

$h(x)= (5 - 8x^3)^2$

so that

$y(x) = x^4(1 -2x^5)^6(5 - 8x^3)^2$

Recall that the derivative of the product of functions is

$y'(x)=f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)$

so taking the derivatives of the individual functions, we get

$f'(x) = 4x^3$

$g'(x) = 6(1 - 2x^5)^5(-10x^4)$

$h'(x) = 2(5 - 8x^3)(-24x^2)$

So the derivative of y(x) is given by

$y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2 + x^4 6(1 -2x^5)^5(-10x^4)(5 - 8x^3)^2 + x^4(1 -2x^5)^6 2(5 - 8x^3)(-24x^2)$

$y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 60x^8(1 -2x^5)^5(5 - 8x^3)^2$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 48x^6(1 -2x^5)^6 2(5 - 8x^3)$

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2 years ago

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The height of the tank is 12 inches

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2 years ago

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</span>

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3 years ago