I'm guessing the sum is supposed to be

Split the summand into partial fractions:


If
, then

If
, then

This means

Consider the
th partial sum of the series:

The sum telescopes so that

and as
, the second term vanishes and leaves us with

A. there are 72 right-handed batters. this is what you do:
5:8
45:?
45/5=9
8*9=72 so
45:72
b. there are 45 left-handed batters
the total batters is 45+72=117
so the ratio of left-handed to the total batter would be 45:117
hope this helps :)
Answer: Angie's profit equation is 25x−200=p
Step-by-step explanation:
Let x represent the number of lawns that Angie mows in her neighborhood.
Let p represent the profit made by mowing x lawns.
Profit = Revenue - cost
She charges $25 per lawn. This means that the amount charged for x lawns = 25×x = 25x
So her revenue is 25x
She buys a new mower for $200. Thus, the cost is $200. Therefore, Angie's profit,p is expressed as
p = 25x - 200
Yes they do, in the grand aspect of things.
Answer:
(-2,-5)
Step-by-step explanation:
y = 2x-1
3x-y = -1
We can use substitution
3x - (2x-1) = -1
Distribute the minus sign
3x -2x+1 = -1
x +1 =-1
Subtract 1 from each side
x+1-1 = -1-1
x=-2
Now we need to find y
y = 2x-1
y = 2(-2) -1
y = -4-1
y = -5
(-2,-5)