Find the slope of the line. y = 8x + 5

A) m = -8
B) m = 9
C) m = 12
D) m = 8
E) m = 5


D) m = 8

Mathematics

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Find all the second order partial derivatives of the given function.f(x, y) = xy2 + yex2 + 5

A.  = 2yex2 = 2x;   =  = 2xex2
B.  = 2yex2 = 2x;   =  = 2y + 2xex2
C.  = 2yex2(1 + 2x2);  = 2x;   =  = 2y + 2xex2
D.  = yex2(1 + 2x2);  = x;   =  = y + xex2

Mathematics

Find the unknown side of the right triangle. Use a calculator or square root table when necessary and round to the nearest thousandth.

A. 533 mi B. 266.5 mi C. 23.087 mi D. 20.5 mi

Mathematics

Solve.A rectangular box with volume 243 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the base. Express the cost the box as a function of x. Give the function and state its domain.

A. C = 4x + : x > 0
B. C = 3x2 + : x > 0
C. C = 3x2 + : x > 4
D. C = 2x2 + : x < 10

Mathematics

Solve the problem.A square plywood platform has a perimeter which is 10 times the length of a side, decreased by 24. Find the length of a side. 

A. 4 B. 1 C. 10 D. 6

Mathematics