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A storeowner wants to set up a rectangular display area outside his store. He will use one side of the building (which is 30 feet long) as part of one side of the display area. He has 180 linear feet of fencing material to use to fence in the display area. Write a function which expresses the total area of the display area in terms of the length x of the side of the display area opposite the building.
A coin is tossed 3 times. Discrete random variable X is equal to the number of times Heads comes up. Discrete random variable Y has the value 1 if the first toss comes up heads and 0 otherwise.
In a cube with side length 6, what is the volume of the tetrahedron formed by any vertex and the three vertices connected to that vertex by edges of the cube?
The robot gets out of the well (carrying the wrench) by climbing up the cable with one end of the cable still attached to the robot. How much work does the robot do in climbing to the top of the well?
Provide a definition by recursion of a function F such that for every wff (well formed formula) A, F(A) is a wff (well formed formula) obtained from A by replacing all occurrences of p with q and all occurrences of q with p simultaneously. (For ex..
The business opened with a debt of $3400. After 3 years, it accumulated profit of $2700. Find the profit as a function of time t, knowing the profit function is linear.
The bucket is filled with 44 pounds of water and is pulled up at a rate of 2.9 feet per second, but water leaks out of a hole in the bucket at a rate of 0.15 pounds per second. Find the work done pulling the bucket to the top of the well.
The derivative by using the differentiation rules
The bucket is filled with 36 lb of water and is pulled up at a rate of 5 ft/sec, but water leaks out of the bucket at a rate of 0.2 lb/sec. Find the work done in pulling the bucket to the top of the well (in ft-lb).
four pairs of data yield r=0.942 and the regression equation y = 3x. also, y = 12.75. what is the best predicted value of y for x = 2.9?
a twin-engine aircraft can fly 1050 miles from city a to city b in 5 hours with the wind and make the return trip in 7 hours against the wind. What is the speed of the wind?
Rational root theorem and synthetic division - Use the rational roots theorem and synthetic division to find the years the country " broke even" (dept = surplus = 0) from 1990 to 2000.
Flying against the jetstream, a jet travels 4550km in 7 hours. Flying with the jetstream, the same jet travels 5340km in 6 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?
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