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2 years ago

A pipe is leaking and 1.5 cups per day about how many gallons per week is the pipe leaking

Mathematics

2 answers:

vaieri [72.5K]2 years ago

8 0

Answer: 0.65625

Step-by-step explanation: first take 1.5 and multiply it by 7= 10.5

second divide it by 16= 0.65625

MatroZZZ [7]2 years ago

7 0

The question asks per week. So 1.5 cups times 7 days is 10.5 cups.

The pipe leaks 10.5 cups every week.

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Step-by-step explanation:

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2 years ago

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2 years ago

assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28

melomori [17]

Given:

x and y are both differentiable functions of t.

$4x^2+3y^3=28$

$x=-1\text{ and }\dfrac{dy}{dt}=8$

To find:

The value of $\dfrac{dx}{dt}$ .

Solution:

We have,

$4x^2+3y^3=28$ ...(i)

At x=-1,

$4(-1)^2+3y^3=28$

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$y^3=8$

Taking cube root on both sides.

$y=2$

So, y=2 at x=-1.

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$4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0$

Putting x=-1, y=2 and $\dfrac{dy}{dt}=8$ , we get

$4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0$

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Divide both sides by -8.

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$\dfrac{dx}{dt}=36$

Therefore, the value of $4x^2+3y^3=28$ is 36.

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2 years ago