Answer:
The remainder is 2.
Step-by-step explanation:
Use modular arithmetic.
If the remainder is x then 8^33 mod 6 = x.
8^3 = 512 = 2 mod 6
8^6 = (8^3 * 8^3) mod 6 = (2*2) mod 6 = 4 mod 6
8^30 mod 6 = (8^6)^5 mod 6 = 4^5 mod 6 = 1024 mod 6
= 4 mod 6.
Finally 8^33 mod 6 = (8^3 * 8^30) mod 6 = (2 * 4) mod 6
= 8 mod 6 = 2.
Answer:
1,3,7,13,21,31,43,57
Step-by-step explanation:
It s increasing by two each time.
1+2=3
3+4=7
7+6=13
etc.
Answer:
0.8 cm
Step-by-step explanation:
I divided 0.6 by 3 and then multiplied by 4 because 0.6 is 3/4 of the portion and we need the other 1/4.
We have been given that during one period extreme cold, the average daily temperature decreased 
degree F each day. We are asked to find number of days it will take for the temperature to decrease by 9 degree F.
First of all we will convert our mixed fraction into improper fraction.
Now we will divide total temperature change (9) by average daily temperature change (
) to find number of days.
Dividing a number by a fraction is same as multiplying the number by reciprocal of the fraction.
Therefore, it will take 6 days for the temperature to decrease by 9 degree F.
Answer:
The greatest number of arrangements that he can make if every balloon is used is 8.
Step-by-step explanation:
The greatest number of arrangements will be the greatest common factor between 24 and 32.
GCF of 24 and 32:
We keep factoring both numbers by prime factors, while they can both be divided by the same number. So
24 - 32|2
12 - 16|2
6 - 8|2
3 - 4
There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.
This means that the greatest number of arrangements that he can make if every balloon is used is 8.
