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The nation of Griddonesia consists of eighty-one equally-spaced islands represented by intersections of the lines in the following grid, where north is up and east is right as on a standard map. Each island is connected to all its adjacent islands by horizontal and vertical bridges exactly one-mile long. There are no diagonal bridges. A Griddonesian oceanic engineer labels each island with a different integer from 1, 2, ..., 81 to identify them. In how many ways can he number the islands, where the number 1 is always assigned to the central island?
Solve following linear equation
Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the total calling time (in minutes). When graphed, the function gives a line with a slope of 0.09
Solve y from the given equation
use the rational root theorem to list all possible rational roots of the polynomial
Evaluate the function at the given value of the independent variable and simplify.
A company manager wishes to test a union leader's claim that absences occur on the different week days with the same frequencies. Test this claim at the 0.05 level of significance if the following sample data have been compiled.
Find the smallest x-intercept for the function.
Solving equation and rationalizing the denominator
During the summer, a group of students builds kayaks in a converted garage. The rental for the garage is $1,500 for the summer, and the materials needed to build a kayak cost $125. The kayaks can be sold for $275 apiece.
Vertex and axis of symmetry from the graph.
Use the function to predict the salary
Verify that Tn = (a-b)In + bEn where En is the nxn matrix of all 1's. Find the determinate and the eigenvalues of Tn
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