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Question: A balloon leaves the ground 250 ft from an observer and rises at the rate of 5.0 ft/s. How fast is the angle of elevation of the balloon increasing after 8.0 s?
at the instant when the water is 5 m deep find the rate at which the water is leaking out if the water level is falling at the rate of 0.1 m/hr.
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected. Find the probabilities that the sample contains the following
A fitness ball id delivered in a flat package with a hand pump. The pump inflates the ball at 280cmcubed per pump, to a diameter of 28cm. How many pumps are needed to inflate the ball? Explain how you got your answer.
If the cables to be delivered are selected at random, how many of the cables are expected to have a strength less than 1910 pounds?
Prove that the element K=k1+k2+....km is the center of the group ring R[G]. Let K1,....Kr be the conjugacy classes of G and for each Ki let Ki be the element of R[G] that is the sum of the members of Ki.
Water is poured into a conical reservoir at a rate of pi cubic feet per second (about 3 ft/sec). The reservoir has a radius of 6 ft across the top and a height of 12 ft. At what rate is the level of the water inside the reservoir increasing when th..
A student is selected from the 8000 students and it is not a sophomore, how many possible choices are there?
The formula A = 2πrh tells us the lateral surface area A of a cylinder with radius r and height h. a) Solve the formula for radius, r.
Solve the differential equation
How many pints of each of the two existing types of drink must be used to make 40 pints of a mixture that 80% is pure fruit juice?
Lead has a Half-Value Layer (HVL) of 0.3mm for 140 KeV X-rays. What is the minimum thickness of a lead slab to reduce the incident energy to less than 1%?
OPINION POLLS In a survey to determine the opinions of Americans on health insurers, 400 baby boomers and 600 pre-boomers were asked this question.
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