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An initial amount of a radioactive substance y0 is given, along with information about the amount remaining after a given time t in appropriate units. For an equation of the form y = y0ekt that models the situation, give the exact value of k in terms of natural logarithms: y0 = 2.56 lb; After 2 yr, 0.64 lb remains.
Determine the circumference of a circle circumscribed about a square, an equilateral triangle, a regular hexagon, a right triangle
Find the classes and the limiting probabilities of the Markova chain transition probability matrix.
the sum of two integers is 12. THE DIFFERENCE BETWEEN both reciprocal is 2/9. determine the two integers.
Write an equation representing the amount of money the class will make based on the number of tons of newspapers collected.
What is the position of the particle at time 14? Ffinally, what is the total distance the particle travels between time 0 and time 14?
assuming no loss of speed,what is the velocity of the particle after the ricochet? simplify your answer.
Suppose that X is not orientable. Prove that X*Y is never orientable, no matter what manifold Y may be. (Hint: First show that X * R^L is not orientable. But every Y has an open subset diffeomorphic to R^L.)
A life insurance company has determined that each week an average of seven claims is filed in its Nashville branch.
Evaluate each of the following without using a calculator. tan-1 (-3/√3), cos-1(cos 7π/6). Find the equation of the line tangent to the graph of f(x) = csc-1(ex) when x = In 2.
The shortlist consists of 7 men and 3 women. Because all the shortlisted applicants are considered to be equally qualified, the names of two of them are drawnn, one after the other at random, to be called for an interview.
The lengths of individual fish in a pond have an approximate Normal distribution with a mean of 18.6 cm and a standard deviation of 6.0 cm. A sample of 36 fish is taken. What is the standard deviation of the sampling distribution of the sample mea..
Finding Probabilities Under Normal Distribution. Suppose x is a normally distributed random variable with y=13 and o=2. Find the following probabilities
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