Simplify the algebraic expression by combining like terms.9y + 8 - 3y + 1

A. 15y
B. 6y + 7
C. 6y + 9
D. 12y + 9


Answer: C

Mathematics

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Find the volume of the indicated region by an iterated integration.The solid cut from the first octant by the surface  

A.
B. 108
C. 81
D. 54

Mathematics

Solve the problem.A swimming pool has a rectangular base 11 ft long and 22 ft wide. The sides are 4 ft high, and the pool is half full of water. How much work will it take to empty the pool by pumping the water out over the top of the pool? Assume that the water weighs 62.4 lb/ft3. Give your answer to the nearest ft ? lb.

A. 90,605 ft ? lb B. 60,403 ft ? lb C. 45,302 ft ? lb D. 120,806 ft ? lb

Mathematics

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Foci at (0, -25), (0, 25); asymptotes: y = x, y = - x

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

Mathematics

Solve the problem.Encode the message BEWARE OF DOG using the one-to-one function defined by f(x) = x3 - 1. Use the alphabet coding method (A = 1, B = 2, C = 3, ...). Give the inverse function that the decoder would need when the message is received.

What will be an ideal response?

Mathematics