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djyliett [7]
3 years ago
14

Samantha is creating concrete spheres for a weight-lifting competition. One of the spheres needs to have a weight of 350 pounds.

Samantha knows that concrete weighs 150 pounds per cubic foot, in feet, of the sphere that Samantha will create? ​
Mathematics
1 answer:
loris [4]3 years ago
3 0

Answer:

Volume of cube = 2.33 cubic feet

Length of side of cube =  1.325 feet

Step-by-step explanation:

Given

Weight of each sphere = 350 pounds

Density of each concrete = 150 pounds per cubic foot

Volume of cube = 350 pounds / 150 pounds per cubic foot

Volume of cube =  350/150 cubic feet

Volume of cube = 2.33 cubic feet

Length of side of cube = Cubic root of 2.33

Length of side of cube =  1.325 feet

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Answer:

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Step-by-step explanation:

Here,  The dividend expression is  4x^2-p(x)+7 = E(x)

The Divisor = (x-3)

Remainder  = -2

Now, by <u>REMAINDER THEOREM</u>:

Dividend  = (Divisor x Quotient)  + Remainder

If ( x -3 ) divides the given polynomial with a remainder -2.

⇒  x = 3  is a  solution of given polynomial E(x)  - (-2) =  

E(x)  - (-2)  = 4x^2-p(x)+7 -(-2)  = 4x^2-p(x)+9 =  S(x)

Now, S(3) = 0

⇒4x^2-p(x)+9 = 4(3)^2 - p(3) + 9 = 0\\\implies 36 - 3p + 9 = 0\\\implies 45= 3p , \\or p  =15

or, p =1 5

Hence, for p = 15,  4x^2-p(x)+7 leaves a remainder of -2 when divided by (x-3).

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Answer:

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Given function is a direct variation

Step-by-step explanation:

The direct proportion is defined as the increase in one quantity causes increase in other quantity.

If y is directly proportional to x, then it is given as:

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Keywords: Variation, functions

Learn more about functions at:

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