Solve the problem.The floor of a rectangular room is to be tiled with -foot square tiles along a 10-foot wall. How many tiles will be needed along the wall?

A. 10 tiles
B. 3 tiles
C. 31 tiles
D. 30 tiles


Answer: D

Mathematics

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Calculate the Taylor polynomial of second order that approximates f(x, y) near a.f(x, y) = e4y sin x, a = (0, 0)

A. x + 4xy B. 1 + x + 4xy + e4y C. 1 + x + 4xy D. e4y(x - 4xy)

Mathematics

Solve the problem. It costs $350 to charter a bus for a ski trip. It also costs $400 per student for all other expenses including food, lodging, ski rental, and lift tickets. Let P(n) represent the per student cost (in dollars) to go on the trip if n students go on the ski trip. By finding an equation for P(n), determine how many students need to go on the trip so that the per person cost is no more than $420.

A. at most 18 students B. at least 17 students C. at most 17 students D. at least 18 students

Mathematics

Solve the problem.Lisa stashed in an envelope on her dresser $454 each week for 9 weeks. Estimate the total amount she saved by rounding the weekly amount to the nearest hundred. Also find the exact amount she saved.

A. Estimate: $4,500; exact: $4,050 B. Estimate: $4,050; exact: $4,086 C. Estimate: $4,050; exact: $4,050 D. Estimate: $4,500; exact: $4,086

Mathematics

Solve the problem.A satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface of the dish and are reflected to the focus, where the receiver is located. The satellite dish shown has a diameter of 10 feet and a depth of 7 feet. The parabola is positioned in a rectangular coordinate system with its vertex at the origin. The receiver should be placed at the focus  The value of p is given by the equation  How far from the base of the dish should the receiver be placed? 

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A.  feet from the base
B. 1 feet from the base
C.  feet from the base
D. 3 feet from the base

Mathematics