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1. How many ways are there to arrange 5 monster figurines and 12 angel figurines in a line on a shelf?
2. How many ways are there to distribute three chocolates (one white, one milk, and one dark) to four classmates, at most one chocolate per classmate?
3. How many ways are there to put a star sticker (they come in gold, silver, red, green, and blue) on every student's paper in your class?
4. How many ways are there to give two different catnip toys to five cats, such that no cat gets more than one toy?
The following formula can be used to estimate the speed, r, in miles per hour, of a car that has left a skid mark of length, L, in feet: 1. What is the estimated speed of a car that left a skid mark of 110 feet? Round your answer to the nearest mph.
your third analysis paper is about the macroeconomic variables affecting firm or industry performance. using your
The answer to finite abelian group, Suppose that G is a finite Abelian group and G has no element of order 2. Show that the mapping g-->g^2 is an automorphism of G.
How many numbers must be selected from the set A = {1, 3, 5, 7, 9, 11, 13, 15} to guarantee that at least one pair of these numbers add up to 16? Explain and justify your answer.
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
A car climbs 10.0 kilometers up a hill that inclines 8.0 degrees. What is the car's vertical displacement?
A carpet is to be installed in a rectangular room whose length is measured to be 12.71 m and whose width is measured to be 3.46 m. Find the area of the room.
Explain how complex numbers combine under the following operations
Timely Transport provides local delivery service for a number of downtown and suburban businesses. Delivery charges are based on distance and weight involved for each delivery: 10 cents per pound and 10 cents per mile. Also, there is a $10 handlin..
The nth term of an A.P. is 6n+2. Find the common difference.Find the 6th term from the end of the A.P. 17, 14, 11,......,-40. For what values of n is the nth term of the following two A.P.'s the same. If the 8th term is f an A.P. is 31 and the 15th t..
Of the employees who get a positive test result, how many of them use drugs? Convert this to a percentage: What percent of people who get a positive result actually use drugs?.
a trough is 10 feet long and its ends have the shape of isosceles triangles that are 3 feet across at the top and have a height of 1 foot. if the trough id being filled with water at a rate of 12ft3/min, how fast is the water level rising when the..
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