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Sphinxa [80]
3 years ago
8

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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Differentiate y=x⁴(1-2x⁵)⁶(5-8x³)².​
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)

or

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)

3 0
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>
5 0
3 years ago
1. Miles and Simon do chores to earn an allowance from their parents. Miles has $120 saved and gets a $10 allowance per week. Hi
Ket [755]

Answer:

If w represented the number of weeks he does his chores, the equations would be:

Miles: 120+10w

Simon:75+15w

7 0
3 years ago
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:

4 0
3 years ago
What is the sum of the two vectors (2,-1) and (3,3)?
vagabundo [1.1K]
Answer: (5, 2)

We simply add up the corresponding coordinates. The x coordinates of the two vectors are 2 and 3. They add to 2+3 = 5

The y coordinates are -1 and 3. They add to -1+3 = 2

So overall, 
(2,-1) + (3,3) = (2+3, -1+3) = (5,2)
is the answer
6 0
3 years ago
Read 2 more answers
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