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marysya [2.9K]
3 years ago
14

You are filling up a cylindrical tank with a radius of 5m with water at a rate of 3 cm^3/min. Unbeknownst to you the tank has a

hole and is leaking at a rate of 1 cm^3/min.
How fast is the height of the water increasing?
The volume of a cylinder V = πr^(2)h.
Mathematics
1 answer:
Umnica [9.8K]3 years ago
8 0

Answer:

dh/dt = 3/25π m/min

Step-by-step explanation:

Radius = 5m

Rate (dV/dt) = 3 cm^3 / min

Leaking rate = 1 cm^3 / min

Volume = πr^2h

Volume = π(5)^2h

V= 25πh

Differentiate volume implicitly with respect to time

dV/dt = 3 cm^3/min

3 = 25π(dh/dt)

dh/dt = 3 m^3/min /25πm^2

dh/dt = 3/25πm/min

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3 years ago
Candace's backyard has a flower garden that covers 40% of her backyard.If the total area of her backyard is 450 square feet, how
ruslelena [56]

Answer: option B is the correct answer

Step-by-step explanation:

Candace's backyard has a flower garden that covers 40% of her backyard.

If the total area of her backyard is 450 square feet, it means that her garden covers 40% of 450 square feet.

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3 years ago
The box plots below show student grades on the most recent exam compared to overall grades in a class:
777dan777 [17]

The statement that best describes the information about the medians would be: the class median and exam median are almost the same.

<h3>Median of a Data Set on a Box Plot</h3>
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Thus:

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Therefore, the statement that best describes the information about the medians would be: the class median and exam median are almost the same.

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2 years ago
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ivolga24 [154]

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Step-by-step explanation:

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Distribute

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3 years ago
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Answer:

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I hope this is right, but federalism gives more power to the state, so local governments could potentially have more power.

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3 years ago
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