Use the Fundamental Counting Principle to solve the problem.A teacher and 8 students are to be seated along a bench in the bleachers at a basketball game. In how many ways can this be done if the teacher must be seated in the middle and a difficult student must sit to the teacher's immediate left?

A. 720
B. 40,320
C. 5040
D. 16


Answer: C

Mathematics

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Provide an appropriate response.Change 52" to decimal degree equivalent. Express the decimal to the nearest ten-thousandth.

A. 0.8667° B. 0.0144° C. 0.1444° D. 0.0867°

Mathematics

The graph shows a region of feasible solutions. Find the requested value or values of P over this region.Find the minimum of P = 23x + 21y + 5.

A. 49 B. 26 C. 28 D. 5

Mathematics

Find the missing quantities. Round rates to the nearest whole percent and money to the nearest cent.

A. % Markdown = 80% $ Markdown = $494.72 B. % Markdown = 80% $ Markdown = $154.60 C. % Markdown = 20% $ Markdown = $123.68 D. % Markdown = 20% $ Markdown = $154.60

Mathematics

Find the vertices and the foci of the given ellipse.16x2 + 9y2 = 144

A. V: (0, 16), (9, 0)
F: (0, 4), (3, 0)
B. V: (0, -4), (0, 4); 
F: (0, - ), (0, )
C. V: (0, -16), (0, 16); 
F: (0, -4), (0, 4)
D. V: (-4, 0), (4, 0); 
F: (- , 0), (, 0)

Mathematics