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You are designing a rectangular poster to contain 98 in2 of printing with a 4 inch margin at the top and bottom and a 2 inch margin at each side. What overall dimensions will minimize the amount of paper used?
1 in (shorter side)2 in (longer side)
find the slope of an object either where you live, where you work, or outside somewhere. Examples might include a ladder positioned against a wall or against a house, a banister on a set of stairs, a slide in a park, etc.
What are the possible orders of subgroups of S4? Prove that S4 has at least one subgroup of each of these orders. What are the elements of these subgroups?
Calculate the probability.
Discuss the factors which might cause variation
What is the Sample Space? and Find the sets corresponding to the events: A = "hand is in the first four hours." B = "Hand is between 2nd and 8th hours inclusive"; and D = "hand is in an odd hour"?
What is the probability that an arriving plane will find at least one other plane waiting to land? Calculate the average time it takes a plane to land and clear the runway once it has notified the airport that it is in the vicinity and wants to lan..
If the oil stock yields 12% and the steel stock yields 9%, how much should be allocated for each investment in order to maximize the return? What is the maximum return?
if her account earns 4% interest, compounded monthly, then when she retires, what is her maximum possible monthly withdrawal (without running out of money)?
Hamilton Quaternions : Kernels and Images, Show that the map phi: H->M_2(C) defined by phi(a+bi+cj+dk)=(a+b(sqrt -1),c+d(sqrt-1);-c+d(sqrt-1),a-b(sqrt-1)) is a ring homomorphism
your father has 88 feet of garden fencing so your garden has to have a perimeter of 88 feet. How big an area would you set aside for your garden?
Let p be a prime. Show that in the ring Z-p (set of integers modulo p) we have (a+b)^p = a^p+b^p for all a, b in Z-p. The following hint was given:
To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located?
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