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Vesnalui [34]
3 years ago
11

Does the formula V = 4/3 pi r^3 represent a linear or nonlinear function? Explain.

Mathematics
1 answer:
Levart [38]3 years ago
6 0
This is the volume of the sphere & is not at all a linear function.

A linear function of the form of y=kx (k is a given number/coefficient) where

y & x grow at the same rate. Then whatever the input (x) it will generate an output (y) always in the ration y/x, whereas v=4/3 πr³ (coefficient =k =4/3(π), if r increase by 2 units v will increase by 2³ =8 & for r = 3, v increase by 3³ =27.

In short v increases quicker than r. No it's not a linear function
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Answer:

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3 years ago
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If one gallon is the same amount as 4 quarts, how many quarts are in 5 gallons?
wlad13 [49]
If one gallon = 4 quarts
Then 5 gallons = x quarts

To solve this we can set up a porportion

1/4 = 5/x

To solve the porportion we need to find the rule so how to we get to 4 from 1? Well we can multiply 1 by 4 to get one right?

So if this is true, 1 x 4 = 4 then 5 x 4 must equal x

5 x 4 = 20 so the answer would be 20 quarts are in 5 gallons

Another way to look at this is that you have 5 gallons and in each gallon is 4 quarts to if there is 4 quarts in every one gallon then that’s just 4 + 4 + 4 + 4 + 4 or 5 x 4

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3 years ago
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Lorico [155]
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Step-by-step explanation:

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