One rope pulls a barge directly east with a force of 57 N, and another rope pulls ...

[html]Solve the problem.

One rope pulls a barge directly east with a force of 57 N, and another rope pulls the barge directly north with a force of 89 N. Find the magnitude of the resultant for

A car wash reduced the price of a basic wash as a promotion and test of the market. With the price a

A car wash reduced the price of a basic wash as a promotion and test of the market. With the price at $11 the average monthly sales has been 30000. When the price dropped to $10, the average monthly sales rose to 35000. Assume that monthly sales is l

a biological variable y varies sinusoidally with a period of 28 days attaining its maximum at t=12 (t is measured in days). if the max and min values of y are 0.42 and 0.28, obtain a formula for y as a function of time

Solve the problem.A spherical water tank with an inner radius of 4 m has its lowest point 3 m above ...

[html]Solve the problem.

A spherical water tank with an inner radius of 4 m has its lowest point 3 m above the ground. It is filled by a pipe that feeds the tank at its lowest point (see figure). Neg

A trucker handed in a ticket at a toll booth showing that in 3 hours he had covered 220 miles on a ...

[html]Provide an appropriate response.

A trucker handed in a ticket at a toll booth showing that in 3 hours he had covered 220 miles on a toll road with speed limit 65 mph. The trucker was cited for

It took 20 seconds for the temperature to rise from 4° F to 166° F when a thermometer was taken ...

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It took 20 seconds for the temperature to rise from 4° F to 166° F when a thermometer was taken from a freezer and placed in boiling water. Although we do not h

A cylindrical container with a volume of 3 ft3 is to be made from two different materials. The ...

[html]A cylindrical container with a volume of 3π ft3 is to be made from two different materials. The material used for the ends costs three times as much as the material for the side. What are the dimensions of the container that minimize

A manufacturer uses raw materials to produce p products each day. Suppose that each delivery of a ...

[html]A manufacturer uses raw materials to produce p products each day. Suppose that each delivery of a particular material is $d, whereas the storage of that material is x dollars per unit stored per day. (One unit is the amount required to produce

Suppose that c(x) = 3x3 - 29x2 + 8413x is the cost of manufacturing x items. Find a production level ...

[html]Suppose that c(x) = 3x3 - 29x2 + 8413x is the cost of manufacturing x items. Find a production level that will minimize the average cost of making x items.

Suppose c(x) = x3 - 20x2 + 30,000x is the cost of manufacturing x items. Find a production level ...

Suppose c(x) = x3 - 20x2 + 30,000x is the cost of manufacturing x items. Find a production level that will minimize the average cost of making x items.

Find the number of units that must be produced and sold in order to yield the maximum profit, given ...

[html]Find the number of units that must be produced and sold in order to yield the maximum profit, given the following equations for revenue and cost: R

Find the number of units that must be produced and sold in order to yield the maximum profit, given ...

[html]Find the number of units that must be produced and sold in order to yield the maximum profit, given the following equations for revenue and cost: R(x) = 60x - 0.5x2 C(x) = 6x + 7.

Find the optimum number of batches (to the nearest whole number) of an item that should be produced ...

[html]Find the optimum number of batches (to the nearest whole number) of an item that should be produced annually (in order to minimize cost) if 50,000 units are to be made, it costs $4 to store a unit for one year, and it costs $500 to set up the f

A rectangular field is to be enclosed on four sides with a fence. Fencing costs $2 per foot for two ...

[html]A rectangular field is to be enclosed on four sides with a fence. Fencing costs $2 per foot for two opposite sides, and $7 per foot for the other two sides. Find the dimensions of the field of area 610 ft2

At noon, ship A was 15 nautical miles due north of ship B. Ship A was sailing south at 15 knots ...

[html]At noon, ship A was 15 nautical miles due north of ship B. Ship A was sailing south at 15 knots (nautical miles per hour; a nautical mile is 2000 yards) and continued to do so all day. Ship B was sailing east at

A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest ...

[html]A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest position and released at time t = 0 to roll back and forth for 4 sec. Its position at time t is

The stiffness of a rectangular beam is proportional to its width times the cube of its depth. Find ...

[html]The stiffness of a rectangular beam is proportional to its width times the cube of its depth. Find the dimensions of the stiffest beam than can be cut from a

The strength S of a rectangular wooden beam is proportional to its width times the square of its ...

[html]The strength S of a rectangular wooden beam is proportional to its width times the square of its depth. Find the dimensions of the strongest beam that can be cut from a