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A fence is to be built to enclose a rectangular area of 230 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 16 dollars per foot. FInd the length L and width W of the enclosure that is most economical to construct.
Create an Euler diagram to determine whether the syllogism is valid or invalid: Some nurses are patient.
Show that the greedy algorithm for making change for n cents using quarters, dimes, nickels and pennies has O(n) complexity measured in terms of comparisons needed.
There are 5 pirates and a pot of 100 gold pieces. All the pirates have different ranks. The most senior pirate has to propose a split of the gold, such that at least half of the pirates agree.
A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.
Automorphism, Abelian Group and GCD, Let G be a finite Abelian group of order n, and let m be a positive integer with gcd(m,n)=1. Prove that φ:G-->G defined by φ
If there 5 sections of Discrete Math with a total enrollment of 31 students, what is the smallest possible number of students in the section with the largest enrollment?
A box with a square base and open top must have a volume of 500000 cm3. Find the dimensions of the box that minimize the amount of material used.
A dietician wishes a patient to have a meal that has 66 grams (g) of protein, 94.5 g of of carbohydrates, and 910 miligrams of (mg) of calcium. Dinner for today is chicken, corn, and milk. Each serving of chicken has 30 g of protein, 35 g of carbo..
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x'+2y=0 and x'-y'=0
What is the probability of rolling a total of 7 in two rolls of a standard dice if you get an even number on the first roll?
To avoid creating a backlog, all cases must be handled by the end of December. Formulate a linear program that can be used to determine how many Judges the city needs.
Assuming that the weights of firemen are normally distributed, to test her research hypothesis the statistician would use a chi-square test. In that case, what is the computed test value?
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