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A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (Give your answers correct to two decimal places.)
(a) How much wire should be used for the square in order to maximize the total area?(b) How much wire should be used for the square in order to minimize the total area?
Let f be a surjection. Then f is an isomorphism iff the order of the element f(a) is equal to the order of the element a , for all a belong to G.
find the number of computer desk that can be produced for $9660.
Research the term primary key. Discuss what this means in the context of functions and relations.
Probability : Selection Without Replacement and Stirling's Formula, A box contains 3n red balls and 3n white balls. 2n balls are selected at random without replacement, express the probability p
Using the data from the Koko Company, determine the divisional income from operations for the A and B regions. I need to allocate service department expenses proportional to the sales of each region
Find the dimensions of a right circular cylinder that is open on the top, isolated on the bottom, holds 1 liter, and uses the least amount of material.
Barney was charged $123.00 for 3 days and 300 miles, while Mary was charged $216.00 for 5 days and 600 miles. What does Best Rental charge per day, for mileage?
The base of an aquarium with volume V = 220 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
an employee's new salary is $20,370 after getting a 5% raise. What was the salary before the increase in pay? Last years salary was $
A bag contains 4 red, 3 white, and 5 blue marbles. How many samples of 4 marbles can be drawn in which two marbles are red and 2 marbles are blue?
Determine what the Singleton bound, the sphere-packing bound and the Varshamor-Gilbert bound say about the maximum number of information bits that codewords with ten check bits can have if the codewords are protected from 3 or fewer errors.
Given the date below find the US Net Growth rate due to births and deaths (i.e neglect) in 1985, 1995, and 2007
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