The value of x is 1.66
Step-by-step explanation:
Let use revise the rules of exponential and logarithmic equations
1. If y =
, then 
2. 
Use the rules above to solve the problem
∵ 
- Subtract 2 from both sides
∴ 
change the exponential equation to logarithmic equation
∴ 
∵ 
∴ x = 
∴ x = 1.66
The value of x is 1.66
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Answer:
250/30= 25/3
inverse of 25/3= 3/25
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u>The full question:</u>
<em>"A committee has eleven members. there are 3 members that currently serve as the boards chairman, ranking members, and treasurer. each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman, ranking member, and treasurer. What is the probability of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current positions?"</em>
<em />
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The permutation of choosing 3 members from a group of 11 would be:
P(n,r) = 
Where n would be the total [in this case n is 11] & r would be 3
Which is:
P(11,3) = 
So there are total of 990 possible way and there is ONLY ONE WAY for them to be reassigned. Hence the probability would be:
1/990
Answer:
Factoring the trinomial:
we get the factors 
Step-by-step explanation:
We need to factor the trinomial: 
We can factor the trinomial by breaking the middle term i.e 13x
Such that adding or subtracting gets the both terms we get 13x and multiplying both terms we get 12x^2
We can break 13x as: 12x and x
Adding them we get 13x and multiplying them we get 12x^2
So,

So, Factoring the trinomial:
we get the factors 
Answer: 
Step-by-step explanation:
1. By definition, the associative property of addition is:

This property says that you can group the numbers in different ways and you will obtain the same result.
2. Therefore, if you have the following expression:

You apply the Asociative property of addition by regrouping the numbers as following:

3. Then, you can conclude that the correct option is B.