Provide an appropriate response.A horizontal beam safely supports a load P that varies jointly as the product of the width W of the beam and the square of the depth D and inversely as the length L. A beam that has a width of 10 in, depth of 18 in. and a length of 70 in. can safely support 1,944 lb. Determine the safe load in pounds of a beam made from the same material if the beam is 60 in. long.

A. 2,268 lb
B. 1,417.5 lb
C. 74 lb
D. 420 lb


Answer: A

Mathematics

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Find the complete quotient when P(x) is divided by the binomial following it.P(x) = x4 + 16; x - 2

A. x3 - 2x2 + 4x - 8 + 
B. x3 + 2x2 + 4x + 8 + 
C. x3 + 2x2 + 4x + 8 + 
D. x3 + 2x2 + 4x + 8

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Write an equation for the hyperbola.

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

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Provide missing statements and reasons for the following proof.Given: bisects Prove: S1. R1. GivenS2. R2.S3. R3. Angle-Addition PostulateS4. R4.or What will be an ideal response?

Mathematics

Find the potential function f for the field F.F = 10x9y7z4i + 7x10y6z4j + 4x10y7z3k

A. f(x, y, z) = x30y21z12 + C
B. f(x, y, z) = 
C. f(x, y, z) = x10y7z4 + 7x10y6z4 + 4x10y7z3 + C
D. f(x, y, z) = x10y7z4 + C

Mathematics