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 8 in, depth of 12 in. and a length of 36 in. can safely support 1,792 lb. Determine the safe load in pounds of a beam made from the same material if the beam is 105 in. long.

A. 1,382.4 lb
B. 921.6 lb
C. 614.4 lb
D. 56 lb


Answer: C

Mathematics

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Determine the number of solutions of the system. State whether the system is consistent or inconsistent. For a system that is consistent, state whether the equations are dependent or independent. State the solution of the system. 

A. no solution; inconsistent B. one solution; consistent; independent; (0, 4) C. one solution; consistent; independent; (0, -5) D. infinitely many solutions; consistent; dependent

Mathematics

Provide an appropriate response.Find the square root  if the variable represents a positive number.

A. x4 B. x8 C. x14 D. x2

Mathematics

Find the probability of the event if a single choice is made from a bag.A bag contains 29 balls numbered 1 through 29. What is the probability of choosing a ball numbered 30?

A. 0 
B. 29 
C.
D. 1 

Mathematics

Begin by graphing the standard quadratic function f(x) = x2 . Then use transformations of this graph to graph the given function.h(x) = (x - 4)2 - 4

A.

B.

C.

D.

Mathematics