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A rectangular box is to have a square base and a volume of 50 ft3. The material for the base costs 44¢/ft2, the material for the sides costs 10¢/ft2, and the material for the top costs 26¢/ft2. Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
Suppose that V is a complex (i.e. F = C) inner-product space. Prove that if N, an element of L(V), is normal and nilpotent, then N = 0.
two angles are complementary. The sum of the measure of the first and the one-fourth of the second angle is 62.25 degrees find the measures of the angle.
Let f be defined on the interval [0,1] by setting f(x)=0 if x is irrational, and if x=(m/n) rational where gcd(m,n)=1 set f(x)=n. Show that f is unbounded on every open interval in [0,1] and compute the Lebesgue integral of f over the interval [0,..
Assume that n is a positive integer. Use the proof by contradiction method to prove: If 7n + 4 is an even integer then n is an even integer.
Sample Question: Binomial Probability Distribution. Assume a binomial probability distribution with n=40 and Ï? =.30(pi =.30) . (Round all z values to 2 decimal places.)
A total of 258 tickets were sold for a school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
A colony of bacteria grows according to the law of uninhibited growth. If 100 grams of bacteria are present initially, and 250 grams are present after two hours, how many will be present after 4 hours? Note: Do not round the value of k.
Write a linear model which expresses number of people who purchase tickets (N) as a function of the price of a ticket (P). What is the physical meaning of the slope in this linear relationship?
How does the author determine what the first equation should be? What about the second equation? How are these examples similar? How are they different?
Write an equation and solve: The cellular phone service for a business executive is $30 per month plus $.50 per minute of phone use. In a month when the executive's phone bill was $67.50, how many minutes did the executive use the phone?
The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than 200 units of component3 can be sold, but up to 1000 units of each of the other components can be sold.
Find the area of a sector having a central angle of 60° in a circle of radius 8 inches. Find the perimeter and area of a circular sector whose angle is 3.5 radians if the circumference of the circle is 58 ft.
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