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Given the matrix representing a relation on a finite set, find the matrix representing the transitive closure of this relation using Warshall's algorithm.
Let n >= 0 be an integer, and for each 0 R be the function P(x) := the sum from i=0 to n of c_i x^i such a function is known as a polynomial of one variable
Show that 12!+ 1 is divisible by 13, by grouping together pairs of inverses modulo 13 thatoccur in 12! and hat is the remainder when 5!25! is divided by 31?
Given that f(x)= 1/x and g(x)= 8x-6, find the following, and their domains. fog(x)= ________ domain= all real numbers except: gof(x)= ________ domain= all real numbers except:
consider de quadratic function yaxsup2bxcnbspa. use the mathematical and graphical analyses to determine the equation
(a) Find the x-intercept(s) of the graph of the equation, if any exist. (Work optional) (b) Find the y-intercept(s) of the graph of the equation, if any exist. (Work optional)
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.
Imagine that the earth is a perfect sphere, and that a metal wire is wrapped around its equator, fitting snugly against the surface. Now imagine that we cut this wire in one spot and splice in an additional 100 meters of wire
Calculating Projected Net Income. A proposed new investment has projected sales of $825,000. Variable costs are 55 percent of sales, and fixed costs are $187,150; depreciation is $91,000. Prepare a pro forma income statement assuming a tax rate of..
students in an english class took a final exam. they took equivalent forms of the exam at monthly intervals thereafter.
an inverted cone of revolution whose slant height is 15 cm. holds a liter of liquid. how far from the vertex should marks be placed on the slant height to indicate 1 milliliter?
A company owns 300 laptops. Each laptop has an 7% probability of not working. You randomly select 20 laptops for your salespeople.
Which method do you prefer when solving a system of equations? Why? What circumstances would cause you to use a different method?
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