Solve area problem.A room measures 14 ft by  The ceiling is  above the floor. the door is  by  A gallon of paint will cover 79.7 ft2. How many gallons of paint are needed to paint the room (including the ceiling and not including the door). Round you answer up the the next whole number.

A. 10 gallons
B. 14 gallons
C. 23 gallons
D. 4 gallons


Answer: B

Mathematics

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

A. V: (0, -9), (0, 9); 
F: (0, -3), (0, 3)
B. V: (0, -3), (0, 3);
F: (0, - ) and (0, )
C. V: (-3, 0), (3, 0)
F: (- , 0), (, 0)
D. V: (0, 9), (4, 0); 
F: (0, 3), (2, 0)

Mathematics

Find the quadratic function y = f(x) that has the given vertex and whose graph passes through the given point.vertex (-5, -8); passing through (2, -3)

A. y = (x - 5)2 - 8
B. y = (x + 5)2 + 8
C. y = (x - 5)2 + 8
D. y = (x + 5)2 - 8

Mathematics

Find the x- and y-intercepts of f.f(x) = -x2(x + 3)(x2 + 1)

A. x-intercepts: -3, -1, 0, 1; y-intercept: 0 B. x-intercepts: -3, 0; y-intercept: 0 C. x-intercepts: -3, -1, 0; y-intercept: 3 D. x-intercepts: -3, -1, 0; y-intercept: -3

Mathematics

Solve the problem.A rat is placed at random in one of five compartments in a maze. Compartments 1, 2, and 5 have food; so the rat will remain at any of these once reached. If the rat is placed in compartment 3, what is the expected number of times it will be in compartment 3 or 4 before it finds food? Round your answer to the nearest hundredth.12345

A. 22 B. 16 C. 13 D. 1.62

Mathematics