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There are 52 colored balls in a large tumbler, 13 red, 13 blue, 13 yellow, and 13 green. The balls of each color are lettered A through M. Five balls are chosen at random. How many 5-ball choices have two of the same letter and three other, different letters?
Perform the appropriate analysis and state the conclusions
Find an equation of the tangent line to the graph of y = f (x) at the point with x = 6. Choose one of the options and then explain your reasoning in one sentence.
When she is 30, Sue starts making annual deposits of $2,000 into a bondfund that pays 8% annual interest compounded continuously. Assuming that her deposits are made as a contiuous income flow, how much money will be in her account if she retires ..
A telephone wire hanging between two poles at x=-b,b. It takes the shape of a catenary with equation y=c+acosh(x/a). Find the length of the wire.
7 a day with unlimited mileage. A discount firm offers a similar car for $24 a day plus 22 cents per mile. How far must you drive in a day in order for the cost to be the same at both firms?
Let f(x)=x^1/3 for x ?R and use the definition of derivative to prove f'(x)=1/3(x)^-2/3 for not equal to zero
Towns A, B, and C form a triangle in which angle A is congruent to angle C. A pilot flies from town A to town B at a heading of 330, then to town C at a heading of 260. At what heading should the pilot fly to return to town A?
Identification of the Slope, y-intercept, and x-intercept of the given equation
How many milligrams will be present after 12 weeks and how long will it take for 75% of the original sample to decay?
The descent statistic is des(π) = |Des(π)|. The descent statistic is encoded in the Eulerian polynomial ∑π∈Sn tdes(π), and the most basic identity for Eulerian polynomials is ∑k≥0(k + 1)ntk = ∑π∈S_n tdes(π)/(1 - t)n+1
Given an isosceles right triangle with legs of length 1, suppose a bug wants to travel from the midpoint of one leg to the vertex at the right angle, but must touch the hypotenuse somewhere in between. What is the shortest distance the bug can tra..
What does the term " variations of gaze" entail in regards to international business?
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