Assume a is not divisible by 10. (otherwise the problem is trivial).
<span>Define R(m) to be the remainder of a^m when divided by 10. </span>
<span>R can take on one of 9 possible values, namely, 1,2,...,9. </span>
<span>Now, consider R(1),R(2),......R(10). At least 2 of them must have the sames value (by the Pigeonhole Principle), say R(i) = R(j) ( j>i ) </span>
<span>Then, a^j - a^i is divisible by 10.</span>
Answer:
4 y + 3
Step-by-step explanation:
y = -3/4
d/dy((2 y + 1)^2 - 4 y^2 + 2) = 4
Indefinite integral:
integral(2 - 4 y^2 + (1 + 2 y)^2) dy = 2 y^2 + 3 y + constant
The shape with 9 sides is a Nonagon the prefix non means 9 and the word agon means shape so the word nonagon means 9 sides <span />
The answer is B. lets say you work 3 hours the answer is 3.15=45 dollars