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Vanilla Box Company is going to make open-topped boxes out of 17 × 16-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way? (Round your answer to the nearest tenth.)
Let m and n be positive integers with n dividing m. Prove that the natural surjective ring projection Z/mZ ->Z/nZ is also surjective on the units:(Z/mZ)^x ->(Z/nZ)^x
Regrind, Inc. regrinds used typewriter platens. The cost per platen is $2.40. The fixed cost to run the grinding machine is $92 per day. If the company sells the reground platens for $4.40, how many must be reground daily to break even?
This number system is an extension of the real number system. Any polynomial equation has n complex roots, in general, in the complex number system. For example, the equation x2 + 1 = 0 has no real roots
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.
A grocer has three baskets of peaches. One holds 45 peaches and weighs 19 pounds, a second holds 55 peaches and weighs 23 pounds, and the third holds 65 peaches and weighs 26 pounds. what is the mean weight of a peach?
A homeowner wants to enclose a 5,800 square feet rectangular garden by a fence in his backyard. If three sides of the fence cost $6.25 per foot and 4th side costs $10.25 per foot,
I need to find a formula for the terminal velocity
Two trains are driving towards each other .One at 144 km/h and the other at 72 km/h When they see each other they start to brake at 1 m/ss. There is 950m between them
Lisa participated in a triathlon in which she swam 3 miles ran 5 miles and then bicycled 10 miles. Lisa ran twice as fast as she swam and she cycled three times as fast as she swam.
Let P be the point (6,0), let Q be the point (0,4), and let R be the triangular region with with vertices at P, Q, and the origin. Determine the volume of the solid of revolution formed when R is revolved about the y-axis.
Probability: High Risk Apartments. In a local town, there are three separate apartment blocks, A, B and C. Block A contains 10 apartments, of which two contain "High Risk" inhabitants.
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
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