Find the area that the curve encloses.


Mathematics

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Solve the problem.A construction crane lifts a 100-lb bucket originally containing 140 lb of sand at a constant rate. The sand leaks out at a constant rate so that there is only 70 lb of sand left when the crane reaches a height of 90 feet. How much work is done by the crane?

A. 3375 ft ? lb B. 18,450 ft ? lb C. 21,600 ft ? lb D. 9450 ft ? lb

Mathematics

Graph the equation using the slope and y-intercept.2x + y = 2

A.

B.

C.

D.

Mathematics

Provide the proper response.How many real number cube roots does any positive number have?

Fill in the blank(s) with the appropriate word(s).

Mathematics

Describe the transformations that produce the graph of g from the graph of f. ; g(x) = -4x3 + 3

A. Stretch vertically by a factor of 3. Reflect it across the x-axis. Shift it 4 units upward. B. Stretch vertically by a factor of 4. Reflect it across the x-axis. Shift it 3 units downward. C. Stretch vertically by a factor of 4. Reflect it across the x-axis. Shift it 3 units upward. D. Stretch vertically by a factor of 4. Reflect it across the y-axis. Shift it 3 units upward.

Mathematics