Convert the units using unit fractions.4.3 mi =  ft

A. 630.67
B. 22,704 
C. 1892 
D. 7568 


Answer: B

Mathematics

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Determine the values of x for which the function is differentiable.y = 

A. Differentiable for x > -6 B. Differentiable for all real numbers except 6 C. Differentiable for x ? 6 D. Differentiable for x > 6

Mathematics

Solve the problem.An office manager is buying used filing cabinets. Small file cabinets cost $6 each and large file cabinets cost $8 each, and the manager cannot spend more than $66 on file cabinets. A small cabinet takes up 5 square feet of floor space and a large cabinet takes up 9 square feet, and the office has no more than 62 square feet of floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get free delivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought. Write a system of inequalities that describes these constraints.

A. 6x + 8y ? 66 5x + 9y ? 62 y ? 5 B. 6x + 8y ? 66 5x + 9y ? 62 x + y ? 5 C. 6x + 8y ? 66 5x + 9y ? 62 x + y ? 5 D. 6x + 8y ? 66 9x + 5y ? 62 x ? 5

Mathematics

Select the region determined by the constraints. Then find the minimum value of the objective function (if possible) and where it occurs, subject to the indicated constraints. ? Objective function: ? z = 5x + 6y ? Constraints: ?           x ? 0           y ? 0     x + y ? 8 3x + 5y ? 30 ?

A.

No minimum


B.

Minimum at (10, 0): 50


C.

Minimum at (8, 0): 49


D.

Minimum at (5, 3): 43


E.

Minimum at (0, 8): 48


Mathematics

Perform the indicated operations with expressions involving fractional exponents and then simplify. ? ?

A.
B.
C.
D.
E.

Mathematics