Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..
Answer:
<em><u>First box/top box is 2 because 8 - 6 = 2</u></em>
<em><u>Second box/bottom box is 1 because 8 - 7 = 1</u></em>
Answer:
m=3
m=Slope
Step-by-step explanation:
In order to find the slope of a line parallel to 3x-y=1
you must look at standard form form y=mx+b
the slope is m
so then m=3
Answer:
the first one is 4.4652
the second one is 1192.71
Step-by-step explanation:
I see that we need to make an expression out of the numbers given above that will end up having a value of 75. It is done as follows:
(6 x (7+5)) + 3 = (6 x 12) +3 = 72 + 3 = 75
Hope this answers the question. Have a nice day.
