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you have 96 ft of fencing to enclose a rectangular pen for your dog. To provide sufficient running space for the dog to exercise, the pen is to be three times as long as it is wide. Find the dimensions of the pen.
what is the maximum profit that the cruise line can make on one trip? how many passengers must sign up for the maximum to be reached and what price will each pay?
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line with a slope of 6.4.
Write the generator matrix. Show by example that your code will detect 1 error, 2 errors, and 3 errors. Give an example where 4 errors are made in transmitting a message word, but your code does not detect any errors.
Find the gradient of the function and the maximum value of the directional derivative at the indicated point:
What is the elongation in the (2, 2, 1) direction? What is the change of angle between two perpendicular lines (in the undeformed state) in the directions (2, 2, 1) and (3, 0, 6)?
Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level alpha.
A rocket consists of a right circular cylinder of height 25m surmounted by a cone whose height and diameter are equal and whose radius is the same as that of the cylindrical section.
Calculate the probability that the return for common stocks
a rancher is fencing off a rectangular area with a fixed perimeter of 76. What dimensions would yield the maximum area?
A bag contains three red marbles, three green ones, one lavender one, two yellows, and four orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
Suppose that a pair of 20-sided dice are rolled (the sides are numbered 1-20). What is the probability that the sum of the dice is 13?
Write a graphical user interface class called SentenceCounterGUI. It should be able to manipulate the sentence of words
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