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A fence is to be built to enclose a rectangular area of 230 square feet. The fence along three sides is to be made of material that costs 5 dollars per foot, and the material for the fourth side costs 13 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.
Important information about Probabilty, A single die is rolled once. You lose $12 if a number divisible by 3 turns up. How much should you win if a number not divisible by 3 turns up for the game to be fair?
One airplane is approaching an airport from the north at 149 km/hr. A second airplane approaches from the east at 246 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 27 km away from the airport an..
By the Mean Value Theorem, we know there exists a c in the open interval (-20) such that f(c) is equal to this mean slope. Find the value of c in the interval which works.
Describe the shape of the histogram. The probability that there are five first-shift workers. The probability that there are four second-shift workers.
A dance team knows 17 routines of which 9 are tap, 5 are ballet, and 3 are modern. The program can consist of any five routines. In how many ways can the manager choose which routines to present if there are no restrictions?
phyisical sicence the weight ofan object on the moon is 16 its weight on earth.ifa bowling ball weighs 1212 pounds on earth, how much would it weigh on the moon ?
Evaluate the maximum revenue using cost and revenue function.
The average cost per sweatshirt when X sweatshirts are printed is modeled by the formula A= 4.50x+200/x. Determine how many sweatshirts the company must print to have an average cost per sweatshirt of $4.52.
Let P : C -> R be defined by P(z) = Re z; show that P is an open map but it is not a closed map. ( Hint: Consider the set F = { z : Imz = ( Re z)^-1 and Re z doesn't equal to 0}.) Please explain every step and justify.
Calculate Analytically the 1st and 2nd legendre transforms of this function. Make sure to express the transforms in terms of their naturAl variables. CAn you generalize your result for the the behavior os the second legendre transform?
A Dow Chemical bond carries a 9% coupon, pays interest semiannually, and has 10 years to maturity. What is the bond's yield to maturity if the bond is selling for $937.75?
A textbook store sold a combined total of 417 history and chemistry textbooks in a week. The number of chemistry textbooks sold was 49 less than the number of history textbooks sold. How many textbooks of each type were sold?
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