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A spherical tank of radius 3m is half full of oil that has a density of 900kg/m3. Find the work W required to pump the oil out of a spout which extends 1.5m past the top of the sphere. (Use 9.8 for g and 3.14 for . Round your answer to three significant digits.)
You have scores of 99, 93 and 90 on the first 3 tests. You must make a total of 360 in order to get an A. What scores on the last test will give you an A?
Two cars start moving from the same point. one travels south at 30 mi/h and the other travels west at 70 mi/h. At what rate is the distance between the cars increasing 2 hours later?
How long should each piece of the wire be to minimize the total area? What is the radius of the circle? How long is each side of the square?
Two rainstorms occurred in one week in a certain area. In the first storm 25ml of rain fell per hour, and in the second storm 20ml of rain fell per hour. Rain fell that week for a total of 75 hours for a total rainfall of 1700ml.
A sample of 13 brands of caffeinated coffee had a mean caffeine level of 119.6 mg and a standard deviation of 52.5. The population is normally distributed. Compute a 90% interval for the mean caffeine level.
Fixed costs are estimated to be $8,400 for 2005. How many units should the company sell to break even ?
Graphing the trigonometric function.
A wooden artifact contains 65% of the Carbon-14 that is present in living trees. How long ago was the artifact made?(the half-life of Carbon-14 is 5730 years.)
Find the slope of this curve where it meets the right pole.
An archer has probability 0.3 of hitting a certain target. What is the probability of hitting the target exactly two times in four attempts?
A house sits on a rectangular piece of land. Two of the sides measure 104 ft each. If all four sides measure 576 ft, how long is each of the other two sides?
An Airplane flies 410 miles with wind and 330 against wind in the same lengthof time. If speed of the wind is 20mph, What is the speed of the airplane in still air?
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