Opposites in math definition
1 answer:
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Answer:
Lagrange Theorem
Step-by-step explanation:
The Lagrange Theorem:
Let G be a finite group and T be a subgroup of G. Then the order of T divides the Order of group G.
This can be written as:
If , then,
.
Possible Subgroups
Now, we are given a group with order 5. We have to find all possible subgroups.
So, the possible subgroup are: groups with order 1, group with order 5
We are given a group with order 6.
Possible subgroups are: group of order 1, group of order 2, group of order 3 and group of order 4.
Given:
The exponential function is:
To find:
The percentage rate of increase or decrease.
Solution:
The general exponential function is:
...(i)
Where, a is the initial value, |r| is the growth rate in decimals if r>0 and |r| is the decay rate in decimal if r<0.
The exponential function is:
It can be written as:
...(ii)
On comparing (i) and (ii), we get
Since r is negative, therefore the given function is a decreasing or decay function.
Now,
So, the rate of decrease is 0.06. Multiply this number by 100 to get the percentage.
Therefore, the rate of decrease is 6%.