Answer:
x=2
Step-by-step explanation:
3^2x = 81
3^2x = 3^4
Compare powers
2x = 4
x = 2
Answer:
and 
Step-by-step explanation:
A simple way to solve this problem is to plug the corresponding x and y into the function. We need only one pair since all the functions are quasi-linear (y=kx) and the increase is proportional.
In
when x=3, y=15/4≈2.14
In
when x=3, y=1.8
In
when x=3, y≈2.33
In
when x=3, y≈1.90
We can observe that in two cases,
and
, y is greater than 2.
Answer: 2405970 ways
Step-by-step explanation:
When the order of selecting r individuals out of n individual , we use permutations.
The number of permutations of r things taking out of n things is given by :-

Given : There are 135 people and three door prizes .
i.e. n= 135 , r= 3
Then, the total number of ways = 

Hence, there are 2405970 ways to distribute door prizes of $7,500, $750 and $75 .
Answer:
106°
Step-by-step explanation:
These angles are alternate interior, therefore they are equal to each other.
Answer:
Step-by-step explanation:
A is a subset of B while B is the universal set.
AB = A U B
A is a subset of B. That is A is contained in B.