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Let a, b, c 2 Z+.
(a) Prove that if a|b, then ac|bc for all c.
(b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.
(c) Prove that gcd(a, a + b) = gcd(a, b).
Take the carburizing of a steel bar to make a hard surface. To obtain the desired hardness, we require to control the diffusion of carbon into the surface and the phases obtained d
A man can do a piece of work in 25 days how many people are required to complete same work in 15 days?
PROBLEMS RELATED TO APPLYING OPERATIONS : Some of us were testing Class 4 children with addition and subtraction problems. We gave them sums that were written horizontally and th
Translate the following formula into a prefix form expression in Scheme: 5+4*(6-7/5)/3(14-5)(3+1)
Ahmad borrowed $450000.00 at 3% compounded semi-annually for ten years to buy an apartment. Equal payments are made at the end of every six months. a) Determine the size of the se
1. In 1900, a certain country's population was 77,977,459 and it's area was 2,821,924 square miles, In 2000, the country's population was 283,575,229 and its area was 3,551,003 sq
If the areas of two sections of a garden are 6a + 2 and 5a, what is the difference among the areas of the two sections within terms of a? Because the question asks for the diff
at what price a 6.25%rs 100 share be quoted when the money is worth 5%
how to do it
A man sold an item for Rs 6,750 at a loss 25%. What will be the selling price of same item if he sells it at a profit of 15%?
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