In order to get who was right we need to solve the expression:
2a^2b(-2ab^3)^-2
The above can be written as fraction to get:
(2a^2b)/(-2ab^3)^2
=(2a^2b)/(4a^2b^6)
=1/2(a^(2-2)b^(1-6))
=1/2a^0b^-5
=1/2b^(-5)
This implies that neither of the was right
Given a series, the ratio test implies finding the following limit:

If r<1 then the series converges, if r>1 the series diverges and if r=1 the test is inconclusive and we can't assure if the series converges or diverges. So let's see the terms in this limit:

Then the limit is:

We can simplify the expressions inside the absolute value:

Since none of the terms inside the absolute value can be negative we can write this with out it:

Now let's re-writte n/(n+1):

Then the limit we have to find is:

Note that the limit of 1/n when n tends to infinite is 0 so we get:

So from the test ratio r=0.4 and the series converges. Then the answer is the second option.
Answer:
the one thats not equal to 16 is the last one; 8^2
Step-by-step explanation:
all of them equal 16 but 8^2 is 64
Answer: A. 2.5v+5v < 5v
Step-by-step explanation:
represents the piece of information which states that renting videos is $2.50 per game and the 2.5 is multiplied by the number of games v. Five is added as a monthly fee therefore the left side of the equation should be 2.5v+5.
For store T:
There is no monthly fee and so the renting fee of $5 per game is represented as 5v.
In conclusion, if the inequality sign in the middle is less than (<) then the left hand side of the inequality sign should represent store S and the right hand side should represent store T in order to answer the question. This makes option A the only correct option.
Answer:
18
Step-by-step explanation:
You have to set the equations equal to each other and then solve for the variable.
Hope this helps:)