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Consider the group Z[4] × Z[6] under * such that(a, b) * (c, d) = (a +[4] c, b +[6] d).(here +[4] means + is in Z[4] and +[6] is in Z[6])
We would like to find a group of permutations that is isomorphic to Z[4]Z[6].
Is this group cyclic? If so, prove it. If not, explain why.
Do I need to list all the members and check or is it enough to know that Z[2]xZ[12] has the same order. And then check that their identity elements have the same order?
Find the height & width of a rectangular
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solve the following system of inequalities by graphing.5x - 4y ge -203x - 2y le -8y ge
Four (standard) dice (cubes with 1,2,3,4,5,6 respectively,dots on their six faces) each of a different color are tossed each landing with one of its faces up, thereby showing a number of dots. Determine the following probabilities.
Add and simplify (5-2i) + (8-6i) = Type answer in form a+bi
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Pacific Homecare has three bond issues outstanding. All three bonds pay $100 in annual interest plus $1,000 at maturity. Bond S has a maturity of five years, Bond M has a 15-year maturity, and Bond L matures in 30 years.
Write the equation of the line which has y-intercept (0, 5) and is perpendicular to the line with equation y = -3x + 1.
Solve the matrix equation by finding A to power
Dependent and independent events.
Graph y^2=x^2 and explain why the graph is not a function. Determine the period and amplitude of the function y=sin 6x then graph it.
Total annual rainfall in the town of Spring Valley follows a normal distribution. The average annual rainfall is 18 inches, with a standard deviation of 6 inches. In one particular year
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