It is important to Remember the negative exponent law.
X^-m = 1/X^m
1/10^2 = 10^-2.
12 Cells . 6 Because You're Doing Half A Hour For 3 Hours . Then Multiply By 2 . This Answer Will Land You A 6 .
Answer:
28, 56
56
Step-by-step explanation:
a
To solve this, we use the combination rule.
nCk = n!/k!(n-k)! where
n is the number of options (8) k is the number of slots (2).
Assuming the order doesn't matter, then
8C2 = 8! / 2!(8-2)!
8C2 = 8! / 2! 6!
8C2 = 40320 / 2 * 720
8C2 = 40320 / 1440
8C2 = 28
If the order does matter, then we use permutation instead.
nPk = n!/(n-k!) where n = 8 and k =2 8P2 = 8! / 6!
8P2 = 40320 / 720
8P2 = 56
b
We are told that there exist 8 ways to choose a president and a vice president. This means that, after choosing a president from 8 people, there remains 7 people to choose his vice from. Thus, the number of ways to choose a president and his vice are 8 * 7 = 56
Step-by-step explanation:
Find out the expressions for the number of sweets sue and tony have now .
To proof
As given
Sue has 18 sweets. tony has 18 sweets.sue gives tony x sweets
thus
sue sweets = 18 - x
Tony sweets = 18 + x
As given
Sue then eats 5 sweets. Tony then eats half of his sweets
sue sweets becomes = 18 -5 -x
= 13 - x
Tony sweets become= 18 + x /2
= 9+ x/2
hence proved.
Hence proved
Answer:
2
Step-by-step explanation:
solve the parentheses (6*3m)(6*5) so 18m +30 = 66, subtract 30 to both sides. 18m =36 and divide by 18 to both sides m=2