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A rancher has 30,000 linear feet of fencing and wants to enclose a rectangular field and then divide into four equal pastures with three internal fences parallel to one of the rectangular sides. What is the maximum area of each pasture?
The postal service provides at least one good example of a function with jump discontinuities. What is one such function, taken from the postal service or some other real life example?
A box with its base in the xy-plane has its four upper vertices on the surface with equation z=48-3x^2-4y^2. What is the maximum possible volume.
Coffee is being poured into a mug at a constant rate. Sketch a rough graph of the depth of the coffee in the mug as a function of time. Account for the shape of the graph in terms of concavity. What is the significance of the inflection point?
Can the researcher’s claim that their drug was successful and describe your answer.
It takes a force of 21,714 lb to compress a coil spring assembly on a New York City Transit Authority subway car from its free height of 8in. to its fully compressed height of in.
What is the probability of getting an A on the paper? What is the probability of getting an A on the exam?
A plane is heading due south with an airspeed of 288 mph. A wind from a direction of 58° is blowing at 20 mph. Find the bearing of the plane.
a retailer wants a 30% markup on the selling price of an item that costs him $214.90. what selling price should be charge?
A truck is loaded with bags of onions that weigh an average of 5 pounds with a standard deviation of 0.5 pounds. the histogram for the weights of the bags on the truck looks very much like a bell shaped curve of a normal distribution.
a pool measuring 8 meters by 30 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 792 square meters, what is the width of the path.
A car traveling along a straight road at 74 ft/sec accelerated to a speed of 89 ft/sec over a distance of 315 ft. What was the acceleration of the car, assuming it was constant? (Round your answer to two decimal places.)
Perform the operation and make the result in standard form
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