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taurus
1 month ago
15

The volume of water remaining in a hot tub when it is being drained satisfies the differential equation dV/dt = −3(V)^1/2 , wher

e V is the number of cubic feet of water that remain t minutes after the drain is opened. Find V if the tub initially contained 225 cubic feet of water.
Mathematics
1 answer:
Zina [12.3K]1 month ago
5 0
The provided equation is a differential equation that allows for variable separation. You should group similar terms, integrate, use the correct limits, and present V as a function of t. This is achieved in the following manner: dV/dt = -3(V)^1/2, which rearranges to dV/-3V^1/2 = dt. Initially, when V equals 225, after integration, we arrive at -2/3(√V - √225) = t, which can be further detailed as -2/3(√V - 15) = t. This represents the function for V at a specific time t. I trust this information is helpful, have a pleasant day.
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Zina [12379]

Response:

Detailed explanation:

The final result is 3 /8/33.

step by step breakdown

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x

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99

99

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99

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×

107

3

×

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x

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×

107

3

×

33

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107

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99

33

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6 0
2 months ago
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Which expression can be used to convert 100 USD to Japanese yen
lawyer [12517]
As of 12:04 EST in the U.S.

$1=<span>112.624847 Yen

Thus:

100USD(112.624847Y/1USD)=11262.62 Yen</span>
8 0
2 months ago
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The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competi
zzz [12365]

Response:1 and 2

Step-by-step Explanation:

Provided data

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For the initial cylinder

r=3\ in.

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V=\pi r^2h

V_1=\pi (3)^2(4)

V_1=113.11\ in^3

For the second cylinder

r=4\ in.

h=4\ in.

V=\pi r^2h

V_2=\pi (4)^2(4)

V_2=201.08\ in^3

For the third cylinder

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h=9\ in.

V=\pi r^2h

V_3=\pi (9)^2(9)

V_3=2290.51\ in^3

For the fourth cylinder

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V_4=452.448\ in^3

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3 0
3 months ago
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babunello [11817]

Answer: 5

Explanation step-by-step: There are six boxes stacked between the top of the third box and the bottom of the tenth box.

Since each box measures 10 inches in height, the combined height of these six boxes is 60 inches.

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60 inches corresponds to 5 feet.

How to find the answer:

Let "y" represent the unknown length in feet.

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Using cross multiplication:

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Divide both sides by 12 to solve for "y":

> 12y ÷ 12 = 60 ÷ 12

After simplification, we get:

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3 months ago
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