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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.)
Suppose you are committed to owning a $199,000 Ferrari. If you believe your mutual fund can achieve a 12 percent annual rate of return and you want to buy the car in 9 years on the day you turn 30, how much must you invest today?
Choose two bases of V3(R) they should have no vectors in common and neither of them should contain multiples of the standard basis vectors e1, e2, e3.
A recent poll found that 30% of those surveyed are worried about aggressive drivers on the road. If three people are selected at random, what is the probability that all three will be worried about aggressive drivers on the road?
If a stone is tossed from the top of a 330 meter building, the height of the stone as a funtion of time is given by h(t)=-9.8t^2-10t+330, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round t..
Probabilities, A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".
Similarly, one additional unit will be occupied for each 9 dollar decrease in rent. What rent should the manager charge to maximize revenue.
A 4 ft high and 7 ft width rectangular plate is submerged vertically in water so that the top is 1 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it.
At what time is the growth rate of 20 new bacteria per minute and how many bacteria are there at this time in the bacterial culture?
We are interested in finding the monthly payment for a $175,500 mortgage at 7.5% for 30 years. We use the loan payment formula for installment loans.
The needle of the scale in the bulk food section of a supermarket is 21 cm. long. Find the distance the tip of the needle travels when it rotates 146 degrees.
The probabilities that a person A and a person B will live an additional 15 years are 0.76 and 0.59 respectively. Assuming that their lifespans are independent, what is the probability that A or B will live an additional 15 years?
Find Probability -Length of Machine Produced Metal Strips. Length of metal strips produced by a machine are normally distributed with mean length of 150 cm
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