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1. Show that there do not exist integers x and y for which 110x + 315y = 12.
2. If a and b are odd integers, prove that a2 +b2 is divisible by 2 but is NOT divisible by 4. Hint:
Any odd number can be written 2k + 1 for some integer k.
3. Prove that for any prime number p, √ p is irrational. Hint: Follow the same method that was used to prove √ 2 is irrational, by first supposing √ p can be expressed as a=b.
How long does it take for an amount of money P to double itself if it is invested at 8% interest compounded 4 times a year?
I need help converting my project fractions to the number 1.
How can I solve simultaneous equations?
Your bank has a loan outstanding with a current balance of $1,000,000 that is payable in quarterly equal instalments of $49,924. This loan has another 6 years to maturity. The bo
The production manager of Koulder Refrigerators must decide how many refrigerators to produce in each of the next four months to meet demand at the lowest overall cost. There is a
Conditional probability - Rules of Probability This is the probability associated with combinations of events but given that some prior result has already been achieved with o
If the mass is 152.2g and the volume is 18cm3, then what is the density?
All the number sets we have seen above put together comprise the real numbers. Real numbers are also inadequate in the sense that it does not include a quantity which i
Buses to Acton leave a bus station every 24 minutes. Buses to Barton leave the same bus station every 20 minutes. A bus to Acton and a bus to Barton both leave the bus station at 9
You don''t have to give me the answer. I just want to know HOW to do it. In a set of 400 ACT scores where the mean is 22 and the standard deviation is 4.5, how many scores are ex
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