Length = 99 because...
since you multiply to get the area, in order to find the missing term of an area (in this case its length), you do the opposite of what you started with...so if you multiplied to get the area, you need to divide to get the missing side...
so 8811 divided by 89 = 99
99 x 89 = 8811
False. Since the probability of one side of the coin is 3/10, the other must be 7/10.
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:
{x | x = -5, -3, 1, 2, 6}
Step-by-step explanation:
In a function, the domain values are all the possible values of input in a function. In order words, they are the x-values in a function, which are also referred to as independent variable.
In the mapping of the function above, all input values make up the domain of the function.
Thus, the domain is:
{x | x = -5, -3, 1, 2, 6}
Answer:
Part A) The percentage increase was 
Part B) Michael is financially better off this year than last year
Step-by-step explanation:
Part A)
we know that
Using proportion
Let
x-----> the percentage increase
Part B) Compare the percentage increase with the inflation
The percentage increase is greater than the inflation
therefore
Michael is financially better off this year than last year
