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(1) Consider the subset S = {[0], [2], [3]} of the Z8 considered as the additive group modulo 8. Determine the set S + S. Is it a subset of S? If H was a subgroup of Z8, what do you expect H + H to be? Determine the subgroup generated by S, i.e., the smallest subgroup of Z8 which contains S.
Mary works due north of home. her husband Ray works due east. They leave for work at the same time. By the time Mary is 3 miles from home, the distance between them is one mile more than Rays's distance from home. How far from home is Ray?
who were over age 18 was approximately 2.28 x ?10?^8 people if the national debt were evently didvided among every person over age 18 in the country how much debt would be assigned to each individual? Round to three significant digits.
Determine the Critical points of f, intervals where f is increasing/decreasing, local maximum and minimum values of f, intervals where y = f(x) is concave upward and concave downward and Inflection point(s).
What is the difference between probability sampling and simple random sampling?
Find the first derivative of the following functions and evaluate at the given point. Show supporting work and underline your answer. Please use MathType for your supporting work.
You have just won$160,000 from a lottery. If you invest all this amount in a tax-free money market fund earning 6% compounded weekly, how long do you have to wait to become a millionaire? (Round your answer to two decimal places.)
Show that both coefficients are identical, and derive their value. Show in general that if m copies of a variable Xj are included in a ridge regression, their coefficients are all the same.
The velocity of point O of the bat is Vo= -6i - 14j and the bat rotates about the z axis with a counterclockwie angular velocity of 4 rad/s. What are the x and y coordinates of th bat's instantaneous center?
Which pair has equally likely outcomes? Check the two choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).
Matthew currently has enough money to buy 45 toy cars. If the cost of each car was 10 cents less, Matthew could buy 5 more cars. How much money does Matthew have to spend on toy cars?
After you have your math worked out on scratch paper, go back and verbally describe the steps you took to evaluate the expressions. Make sure to use each of the vocabulary words at least once in your writing.
Show that if y = f(x) is a solution to the differential equation dy/dx = 3y2/3 that is not zero on an open interval I, then on this interval f(x) must be of the form
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