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3 years ago

Judith used 11/14 of her tank of gas to drive 12 miles yesterday. How much gas did she use to drive one mile?

Mathematics

1 answer:

Digiron [165]3 years ago

3 0

Answer: she used 11/168 tank of gas per mile

Step-by-step explanation:

12 miles___11/14 tank of gas

1 mile____x= 11/168 tank of gas

(1 mile * 11/14 tank of gas)/12 Miles=

11/168 tank of gas

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Liula [17]

Step-by-step explanation:

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

$f(x) = x^4$

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

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

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

Find the equation of the circle that satisfies the given conditions. radius 4 and center (3, -1)?

dmitriy555 [2]

<span> the equation of this circle is (x - 3)² + (y + 1)² = 4²</span>

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Answer:

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A bakery sells pastries in boxes of 7 each. If the bakery has 27 pastries, how many boxes can be filled?

skad [1K]

Answer:

3 with a few left over so 4

Step-by-step explanation:

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3 years ago

What is the sum of the two vectors (2,-1) and (3,3)?

vagabundo [1.1K]

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3 years ago

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