Solve the problem.Find the average height of the paraboloid  above the disk  in the .

A. 153
B. 66
C. 99
D. 144


Answer: C

Mathematics

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Find the vertices and foci of the ellipse. +  = 1

A. Vertices: (±15, 0); Foci: (±9, 0) B. Vertices: (±15, 0); Foci: (±12, 0) C. Vertices: (0, ±15); Foci: (0, ±12) D. Vertices: (0, ±15); Foci: (0, ±9)

Mathematics

Solve the problem.The population P, in thousands, of Pine Grove is given by P(t) = , where t is the time, in months. Find the interval on which the population was 40 thousand or greater.

A. [0.664, 4.336] B. (-?, ?) C. [0.83, 5.42] D. [4.336, ?)

Mathematics

Identify the degree of the polynomial; then indicate whether the polynomial is a monomial, binomial, or trinomial or has no special polynomial name.5r2 + 5r - 7r5

A. degree = 6; binomial B. degree = 2; trinomial C. degree = 5; binomial D. degree = 5; trinomial

Mathematics

Write the inequalities that describe the constraints on production.The Pen-Ink Company manufactures two ballpoint pens: silver and gold. The silver requires 7 minutes in a grinder and 12 minutes in a bonder. The gold requires 7 minutes in a grinder and 9 minutes in a bonder. The grinder can be run no more than 610 minutes per day and the bonder no more than 230 minutes per day. Let x represent the silver pens and let y represent the gold pens.

A. 7x + 7y ? 610, 12x + 9y ? 230, 
B. 7x + 12y ? 610, 7x + 9y ? 230, 
C. 0 ? 19x + 16y ? 840, 
D. x + y ? 610, x + y ? 230, x + y ? 840, 

Mathematics