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Water leaks from a vertical cylindrical tank through a small hole in its base at a rate proportional to the square root of the volume of water remaining. The tank initially contains 250 liters and 23 liters leak out during the first day. When will the tank be half empty?
What are examples of variables that follow a binomial probability distribution? What are examples of variables that follow a Poisson distribution?
The manufacturer can produce the lamps at a cost of $4 per lamp. At what price should the manufacturer sell the lamps to generate the greatest possible profit?
closed box with a square base has to have a volume of 3000 cubic inches. Find a function for the surface area of the box.
Determine whether the series is convergent or divergent.
If the water level is 5 feet below the closed bridge, find the distance d between the end of a section and the water level when the bridge is fully open. (Round your answer to the nearest whole number.)
The length of a swimming pool is 22 ft. The width is 40 ft. If the volume of the pool is 2,500 ft³, which equation below could be used to find the depth of the pool?
The bearings of two points on the shore from a boat are 115 degrees and 123 degrees. Assume the two points are 855 feet apart. How far is the boat from the nearest point on shore if the shore is straight and runs north-south?
If the gender-selection method has no effect and boys and girls are equally likely, find the mean and standard deviation for the number of boys born in groups of 51.
A car is moving at a rate of 76 miles per hour, and the diameter of its wheels is 2.9 feet.
Create an example of a real-life word problem, which can be solved using algebraic inequalities. Write the problem, and then solve the problem.
Use the integrating capabilities of a graphing utility to approximate the surface area of that portion of the surface z=e^x that lies over the region in the xy-plane bounded by the graphs of y=0, y=x and x=1.
If the given angle is in standard position, find two positive coterminal angles and two negative coterminal angles. (Enter your answers as a comma-separated list.)
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