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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?
Define the function f: R → R by f(x) = x2 - 6. Briefly explain why f is not a 1-1 (one-to-one) function. Is the function g: Z → Z defined by g(n) = [n/2] a one to one function?
The GNP of Switzerland was 2.49 × 1011 US dollars in 1992. During the same time the GNP of Romania was 2.49 × 1010 US dollars. By how much did the GNP of Switzerland exceed that of Romania? Write the answer in Scientific notation.
Find the greatest number of wrappers.
Find inverse for the matrix
Find the function's equation
The profit function for the Recklus Hang gliding Service is P(x) = -0.4x^2 + fx - m, where f represents the set up fee for a customer's daily excursion and m represents the monthly hanger rental.
Compute A with continuous compounding.
Solve each system addition method. Determine whether the equations are independent, dependent, or inconsistent.
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $30 one time activation fee and charges 8 cents a minute.
Is the compound interest formula, such as would be used to calculate a car loan, an example of a function? If it is, of what type of function is it an example?
A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you are interested in the mean score, mu, on this subsection among the general population.
The programming team needs to understand the parameters for the game, in order to start coding it. Explain any restrictions to the domain and range of your sequences
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