Solve the problem.Awards are to be presented to seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul. How many different orders are possible for the awards if Maria and Olivia must be next to each other?

A. 1220
B. 1680
C. 1440
D. 720


Answer: C

Mathematics

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Factor the special products.81x2 - 126xy + 49y2

A. (81x + 1)(x + 49) B. (9x - 7y)2 C. (9x - 7y)(9x + 7y) D. (9x + 7y)2

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Write the augmented matrix for the system. 7x + 3y + 8z = 90 4x + 6y + 4z = 42 2x + 6y + 2z = 18

A.
B.
C.
D.

Mathematics

Write the number in scientific notation.A computer compiles a program in 0.0000816 seconds.

A. 8.16 × 10-6 B. 8.16 × 10-7 C. 8.16 × 10-5 D. 8.16 × 104

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Find the indicated sum. Find the sum of the first 8 terms in the geometric series 3 - 6 + 12 - . . .

A. -255 B. -257 C. -765 D. 765

Mathematics