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NISA [10]
3 years ago
8

A pump can move 42 gallons of water in 7 minutes. Find the unit rate

Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0
In 1 min the thing can pump 6 gallons of water
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mr Goodwill [35]

Answer:

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Step-by-step explanation:

The two triangles are the same, so 7x+8=10x-1

3x=9

x=3

MT=12x3=36

MH=36/2=18

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3 years ago
Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give
frutty [35]

Answer:

y=\dfrac{3x}{e}+\dfrac{4}{e}

this is the equation of the tangent at point (-1,1/e)

Step-by-step explanation:

to find the tangent line we need to find the derivative of the function g(x).

g(x) =e^{x^3}

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g'(x) =3 x^{2} e^{x^{3}}

this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

m =3 (-1)^{2} e^{(-1)^{3}}\\m =3e^{-1}\\m=\dfrac{3}{e}

using the equation of line:

(y-y_1)=m(x-x_1)

we'll find the equation of the tangent line.

here (x1,y1) =(-1,1/e), and m = 3/e

(y-\dfrac{1}{e})=\dfrac{3}{e}(x+1)\\y=\dfrac{3x}{e}+\dfrac{3}{e}+\dfrac{1}{e}\\

y=\dfrac{3x}{e}+\dfrac{4}{e}

this is the equation of the tangent at point (-1,1/e)

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Answer:

Function A

Step-by-step explanation:

Function A= 10x-3

Function B= -5x+25

A slope of 10 is greater than a slope of -5

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1/10 of 400,000 is 10 times as much as?
mote1985 [20]
40,000 is the answer
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Simon used 3 pears and 9 apples to make a fruit salad.
Art [367]

Answer:

1:3 for simplified

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Step-by-step explanation:

3 0
3 years ago
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