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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.
In triangle DEF, angle E is congruent to angle F. If side DE = 3x-6, Side EF = x+2 and Side DF = 18-5x. Find the length of side DE
If a single person makes $25,00 a year, how much federal income tax will he or she have to pay ?And they are gining me a chart that says $0 to $27,050 is 15% of taxes .
David wants to rent a movie. He wants to watch either a comedy or a drama. The movie rental store has 18 comedies and dramas available for rent. Seven of the movies are comedies, a
core competency vs diversification
The bowling alley suggests selecting a ball that is 1/7 of the bowlers weight. If the bowler weighs 84 pounds, how much should the bowling ball weigh?
Importance of positioning
660 ft/min=________ft/sec
Determine the linear approximation for f(x)= sin delta at delta =0
In the introduction of this section we briefly talked how a system of differential equations can occur from a population problem wherein we remain track of the population of both t
Inverse Tangent : Following is the definition of the inverse tangent. y = tan -1 x ⇔ tan y = x for -∏/2 ≤ y ≤ ?/2 Again, we have a limi
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