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A water tank has a square base of area 4 square meters. Initially the tank contains 30 cubic meters. Water leaves the tank, starting at t=0, at the rate of 2 + 4 t cubic meters per hour. Here t is the time in hours. What is the depth of water remaining in the tank after 3 hours?
Air is being pumped into a spherical balloon at a rate of 20 cubic feet per second. At what rate is the radius of the balloon increasing at the instant when the radius equals 15 feet?
When you subtract one number from another, the answer is always less than both of the numbers in the subtraction problem. Support or disprove this statement with examples.
Find the dimensions of the largest acceptable box with square front and back. (Let x be the measurement of one side of the square front. Let y be the length of the box.)
What is the probability that x=5
Conditional Probability: Ball Colour, An urn contains four coloured balls: two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange.
If you are 18 years old, deposit $3,660 each year into a Roth IRA for 52 years at 3.9% interest compounded annually, and retire at age 70, how much money will be in the account upon retirement?
Compute the mean and median and determine the shape of the distribution based on the sample data? Explain your conclusion.
A bankroll contains ten one-dollar bills and five ten-dollar bills. Two of these are stolen and their denomination is unknown. If a bill is chosen at random from those left, what is the probability that it will be a ten-dollar bill?
A triangle drawn on a map has sides of lengths 7 cm, 11 cm, and 14 cm. The shortest of the corresponding real-life distances is 92 km. Find the longest of the real-life distances to the nearest tenth of a kilometer.
The original cost of the speaker was $500 and lozz had recognized $100 of depreciation on it at the time of scrapping. Prepare the journal entry recording the scrapping of the speaker.
How many small screen televisions must be produced in a month in order to minimize the company's average cost? Show all steps and justify your answer.
A wrench 0.2 meters long lies along the positive y-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 ..
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