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An open (no top) rectangular box with square ends, having a volume of 6400 ft^3 is to be built at a cost of $3 per square foot for the base and $1 per square foot for the sides. Find the dimensions of the least expensive box.
a) Find the number of permutations of the letters in the word DIPLOMA. b) How many ways are there of arranging the letters of DIPLOMA so that the letters O and I are together?
Using graphing to check your answers is helpful. When you factor a trinomial into two binomials, each binomial represents a linear relationship. If you plot the two binomials (which are just lines) on a graph
Telephone rate. A second long-distance telephone service charges $0.09 per minute or fraction thereof for calls lasting 10 minutes or more and $0.18 per minute or fraction thereof for calls lasting less than 10 minutes.
how green theorem is applicable in finding the area of region? use green's theorem to calculate the area of the region between the x-axis and one arch of the cycloid with parametric equations x=a(t-sint), y=a(1-cost)
If the company wants to send out only fully loaded trucks (and they should return empty), how many trucks of each type would need to be rented? (Find all possible ways to do this.)
Two point charges q1 and q2 separated by a distance of 3m experience a mutual force of 16x10^-15N. Calculate the magnitude of charge when q1=q2=q. What will be magnitude of force if separation between the charges is changed to 6m?
a stockholder sold 150 shares of stock at 34 1/4 per share find the stockholders loss per share The stock had been purchased at 36 5/8 per share.
The purchasing power of a dollar is decreasing at the rate of 7.3% annually, compounded continuously. How long will it take for the purchasing power of $1.00 to be worth $0.42? Round answers to the nearest hundredth.
Let S={1,2,3,4,5,6,7,8}. Test the following binary relation on S for reflexivity, symmetry, antisymmetry, and transitivity
Compute the test value
The results showed 65% of those who responded were in favor of electing a Republican in the next election. Interpret the results by identifying what we can conclude about the way the general population feels about electing a Republican president i..
Let V be a vector space and u, v, w belong to V. rove that u-v, v-w, and w-u form a linearly dependent set.
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