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3 years ago

11

Mr. Alfred’s car gets 12 miles per gallon. He drives to West Harlem for a weekend to visit his grandmother. He uses 6 gallons of

gas. How many miles did he drive?

1 answer:

Kay [80]3 years ago

6 0

Answer:

72 miles.

Step-by-step explanation:

If he uses 6 gallons of gas, you would do 6 (gallons he used) x 12 (miles per gallon) equaling 72.

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Assuming that the equations define x and y implicitly as differentiable functions x=f(t),y=g(t) find the slope of the curve x=f(

Mumz [18]

The given equations are
$x(t+1)-4t \sqrt{x} =9$ (1)
$2y+4y^{3/2}=t^{3}+t$ (2)

When t=0, obtain
$x=9 \\ 2y+4y^{3/2}=0 \,\,=\ \textgreater \ \, y(1+2 \sqrt{y} )=0 \,=\ \textgreater \ \,y=0$

Obtain derivatives of (1) and find x'(0).
x' (t+1) + x - 4√x - 4t*[(1/2)*1/√x = 0
x' (t+1) + x - 4√x -27/√x = 0
When t=0, obtain
x'(0) + x(0) - 4√x(0) = 0
x'(0) + 9 - 4*3 = 0
x'(0) = 3
Here, x' means $\frac{dx}{dt}$ .

Obtain the derivative of (2) and find y'(0).
2y' + 4*(3/2)*(√y)*(y') = 3t² + 1
When t=0, obtain
2y'(0) +6√y(0) * y'(0) = 1
2y'(0) = 1
y'(0) = 1/2.
Here, y' means $\frac{dy}{dt}$ .

Because $\frac{dy}{dx} = \frac{dy}{dt} / \frac{dx}{dt}$ , obtain
$\frac{dy}{dx} |_{t=0}\, = \frac{1/2}{3}= \frac{1}{6}$

Answer:
The slope of the curve at t=0 is 1/6.

3 0

3 years ago

Solve the equation 3=8^x for x<br>

Furkat [3]

Answer:

x=2 2/3

Step-by-step explanation:

The equation also means that x=8^3

8/3=2 2/3

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3 years ago

Darren spent 4 /2 hours on his homework on Monday. On Tuesday, he spent 2 31shours on his

guapka [62]

Answer: 4 hours 31 min

Step-by-step explanation: first you need to simplify or solve 4/2 which is 2 because 4 divided by 2 is 2 and on Tuesday he spent 2 hours and 31 min no simply add 2 hours plus 2 hours and 31 min which gives you 4 hours and 31 min

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4 years ago

If a triangle has an area of 108 mm2 and the base of the triangle is 18 mm, what is the height of the triangle?

elena-14-01-66 [18.8K]

Answer:

the height is 12

Step-by-step explanation:

you would take the area (108 mm2), divide that by the base (18 mm) and multiply it by 2

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3 years ago

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Answer:

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