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A 180 lb man carries a 20 lb can of paint up a helical staircase that encircles a silo with radius 20 ft. If the silo is 160 ft high and the man makes exactly four complete revolutions, how much work is done by the man against gravity in climbing to the top?
A television network had 13 drama pilots to fill 5 remaining time slots in the Fall 2007 lineup; 10pm Monday, 10pm Wednesday, 10 pm Thursday, 9pm Friday, 10pm Sunday. How many different new drama line-ups are possible?
a bank teller. at the end of a dat, she had total of 69 $5 and $10 bills. the total value of the money is $590. how many of each denomination does she have?
The surface area of a pyramid is 189cm squared. The area of the sq base is 49cm squared. What is the area of one triangular face of the lateral surface?
A vat with 600 gallons of beer contains 4% alcohol (by >volume). Beer with 6% alcohol is pumped into the vat at a rate of 6 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour?
A drop of oil measuring 0.23 cubic centimeter is spilled onto a lake. The oil spreads out into a circular shape having a diameter of 20 cm. approximate the thickness of the film. Using scientic notation rounding to the nearest hundredth.
Using the shell method to find the volume of a solid revolving about line x = 2 by the region bounded by y=x^3 +x +1, y=1 and x=1.
Find the slope-intercept form of a line that is the perpendicular bisector of a line segment connecting (-7,3) and (1,17)
find the probability that his or her birthday is not in May. If a person is randomly selected, find the probability that his or her birthday is not in May.
It takes 16 minutes to set up a candy making machine. Once the machine is set up, it produces 30 candies per minute. Use an inequality to find the number of candies that can be produced in 5 hours if the machine has not yet been set up.
Solve by absolute value equation and Solve by factoring and use the zero product principle.
Suppose that 8 female and 7 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 15 finalists, what is the probability of selecting
A wrench 0.6 meters long lies along the positive -axis, and grips a bolt at the origin. A force is applied in the direction of at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the..
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