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A rectangular piece of cardboard is twice as long as it is wide. A 4cm square is cut out of each corner,and the sides are turned up to make a box with an open top. the volume of the box is 616cm^3. find the original dimensions of the cardboard.
In your own words, explain the difference between intersecting and perpendicular lines. Can two lines exist that are not intersecting or parallel? Explain your answer.
A toy making company has at least 300 squares of felt, 700 oz of stuffing, and 230 ft of trim to make dogs and dinosaurs. A dog uses 1 square of felt, 4 oz of stuffing, and 1 ft of trim. A dinosaur uses 2 squares of felt, 3 oz of stuffing, and 1 f..
Solve this linear problem graphically and determine optimal quanitities of A, B, and value of Z.
A plane is heading due south with an air speed of 125 mph. There is a constant wind blwoing from the west at 30 mph. Find the plane's ground speed and heading.
Suppose that f: C->C and that f is analytic at a point z0 element of C. Prove that there exists a real number r>0 such that, the nth derivative of z0=[n!/(2 pi r^n)]x[int(e^(-niy)f(z0+re^(iy)) from 0 to 2pi with respect to y for all n element of N..
A number (a) is called a fixed point of a function (f) if f(a)=a. Prove that, if f'(x) does NOT equal 1 for all real numbers (x), then f has at most one fixed point.
A piece of molding 168 centimeters long is to be cut to form a rectangular picture frame. What dimensions will enclose the largest area? Round to the nearest hundredth, if necessary.
A client has an order for a foot soak prepared with 25% povidine iodine and the total volume of preparation is to be 1 liter. How many mls of povidine/iodine should be used?
Conduct a literature and internet search for information on the Truth-in-Lending Law. Discuss your findings in terms of what the law pertains to and how it is applied.
Let S be a subset of a set X. Let R be the ring of real-valued functions on X, and let I be the set of real-valued functions on X whose restriction to S is zero.
In a survey of 250 dancers, 167 knew the ballroom dances, 140 knew the Latin dances, and 106 knew the swing dances. Of these, 65 knew the ballroom and swing dances
Probability, Combinations and Permutations : Sampling Without Replacement, A basket contains 4 black, 2 red, and 5 green marbles. A sample of three marbles is drawn
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