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Hitman42 [59]
3 years ago
11

The volume of water in a tank is modeled by the function y = 1.15x^3 – 0.1x^2 + 2 where x is the number of minutes after the fau

cet filling the tank is turned on. What does the y intercept represent?
Group of answer choices

a. the height of the water when the tank is full

b. the height of the water after x minutes

c. the volume of the tank after x minutes

d. the volume of water in the tank before the faucet is turned on
Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

Answer:

Option D: y-intercept is the volume of water in the tank before the faucet is turned on.

Step-by-step explanation:

We are told that the volume of water in a tank is modeled by the function:

y = 1.15x³ – 0.1x² + 2

where:

x is the number of minutes after the faucet filling the tank is turned on

Now, the y-intercept is usually at the point where x = 0.

Thus, if x = 0 minutes, it means the faucet filling the tank is not yet turned on since x is the number of minutes after the faucet is turned on.

Thus, y-intercept is the volume of water in the tank before the faucet is turned on.

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Answer:

Step-by-step explanation:

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For the first model, the dimension will be as follows:

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For the second model, the dimension will be as follows:

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The dimensions of the second model is 94/16 by 50/16 = 5.875 feet by 3.125 feet.

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3 years ago
The circumference of a circle exceeds the radius by 74 cm. Find the radius of the circle.​
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Answer:

14 cm.

Step-by-step explanation:

Let the radius of the circle = r cm.

Then circumference of circle = 2 π r.

Since circumference exceeds the radius by 74 cm

Therefore, according to the question,

\sf \:2 π r = r+ 74

\sf \: =   > 2 \times  \frac{22}{7}  \times r =  r \:  + 74

\sf \: =  >  \frac{44r}{7}  -r  = 74

\sf \:  =  > \frac{44r - 7r}{7}  = 74

\sf \: =  >  \frac{37r}{7}  = 74

\sf \: =  > r =  \frac{7 \times 74}{37}

\sf \: =  >  r = 14

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________________________________

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Answer:

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