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Explain what the index of a subgroup and a coset of a group are. Also, prove that if N is a subgroup of a group G such that [G: N] = 2, and if "a" and "b" are elements of G, then the product "ab" is an element of N if and only if either (1) both "a" and "b" are elements of N or (2) neither "a" nor "b" is an element of N.
Given A=Pe^rt, with A = 455, P = 5, and r = 0.61, solve for t. Round to the nearest 0.01.
Problem on equalities - Starting with miles set up a single algebraic equation to give a result in kilometers
with regression we are concerned about variability around the rather than variability around the which would be the
Solve the given algebraic expression using foil method.
the sum of two numbers is 23. when seven times the smaller number is subtracted from three times the larger number the
mr. randolph finds that the supply and demand for gasoline at his station are generally given be the following
An interesting method for solving quadratic equations came from India. The steps are-Move the constant term to the right side of the equation. Multiply each term in the equation by four times the coefficient of the x2 term.
What process do you use for coming up with the GCF? The greatest common factor is 3xy
The steps are: (a) Move the constant term to the right side of the equation (b) Multiply each term in the equation by four times the coefficient of the x2 term (c) Square the coefficient of the original x term and add it to both sides of the equat..
Give an example of an exponential function. Convert this exponential function to a logarithmic function. Plot the graph of both the functions.
Which arithmetic operations on polynomials affect the values of the exponents? Can you exhibit the laws governing exponents and applications of these laws?
Find a formula for (1/(1*2) + 1/(2*3) + ..... + 1/ (n*(n+1) ) by examining the values of this expression for small values of n. Prove the formula you found by induction
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