Solve the problem.Professor Kafka teaches an advanced probability class with an enrollment of 13 students. The front row has 6 chairs. A particular student, Carl, must sit in the front row between his tutor, Sue, and his best friend, Pat. In how many different ways can Professor Kafka assign students to sit in the first row?

A. 1440
B. 2880
C. 720
D. 5760


Answer: D

Mathematics

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Solve the problem.Find parametric equations for an object that moves along the ellipse  +  = 1 with the motion described.The motion begins at (0, 6), is clockwise, and requires 3 seconds for a complete revolution.

A. x = 4 cos (?t), y = 6 sin (?t), 0 ? t ? 3
B. x = 4 sin (3?t), y = 6 cos (3?t), 0 ? t ? 3
C. x = 4 sin (?t), y = 6 cos (?t), 0 ? t ? 3
D. x = 4 sin (?t), y = -6 cos (?t), 0 ? t ? 3

Mathematics

What is the domain of f(x)? What is its range?f(x) =  + 6

A. Domain: (-?, 5) ? (5, ?); range: (-?, 6) ? (6, ?) B. Domain: (-?, 0) ? (0, ?); range: (-?, -6) ? (-6, ?) C. Domain: (-?, 0) ? (0, ?); range: (-?, 6) ? (6, ?) D. Domain: (-?, 6) ? (6, ?); range: (-?, 0) ? (0, ?)

Mathematics

Find the square of the radical expression.

A. 36 B. 12 C. 18 D. 6

Mathematics

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. 16.65 × 0.007

A. 0.22655 B. 1.21655 C. 0.21655 D. 0.11655

Mathematics