Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation.

A. 1.0 × 10-1
B. 1.0 × 101
C. 1.0 × 2
D. 1.0


Answer: B

Mathematics

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Decide whether the given set of numbers is a group under the given operation.Natural numbers; addition

A. Yes B. No

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Simplify the expression. Assume that all variables represent nonnegative numbers. - 7 - 2

A. -51
B. -9
C. -51
D. -9

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Solve the problem.An office manager is buying used filing cabinets. Each small file cabinet costs $4, takes up 7 square feet of floor space, and holds 10 cubic feet of files. Each large file cabinet costs $8, takes up 9 square feet of floor space, and holds 14 cubic feet of files. The total cost cannot exceed $64, and the office has no more than 97 square feet of floor space available for the cabinets. How many of each file cabinet should the manager buy to maximize storage capacity? What is the maximum storage capacity?

A. 3 small file cabinets and 10 large file cabinets; 240 cubic feet B. 13 small file cabinets and 0 large file cabinets; 130 cubic feet C. 0 small file cabinets and 13 large file cabinets; 182 cubic feet D. 10 small file cabinets and 3 large file cabinets; 142 cubic feet

Mathematics

Identify the numerator and the denominator of the fraction.

A.

numerator:  4
denominator: 9

B.
numerator:  
denominator: 9

C.
numerator:  9
denominator: 4

D.
numerator:13
denominator:1

Mathematics