Answer:
<em>summation of five times negative three to the power of n from n equals zero to infinity</em>
Step-by-step explanation:
<u>Summation Notation
</u>
It represents the sum of a finite or infinite number of terms. Let's analyze the terms of the given succession:
5-15+45-135+...
If we take 5 as a common factor, we have
5(1-3+9-27+...)
The parentheses contain the alternate sum/subtraction of powers of 3. The odd terms are positive, the even terms are negative, thus the exponent must be n starting from 0 or n-1 starting from 1
The summation is then represented by

This corresponds with the option:
<u>summation of five times negative three to the power of n from n equals zero to infinity</u>
I believe the correct answer from the choices listed above is option A. Approximately, there will be 2.61x10^9 cans that will <span> be recycled in 16 days. We calculate as follows:
113204 cans / min (60 min / 1 hr) (24 hr / 1 day) = 163013760 cans / day
</span>163013760 cans / day (16 days) = <span>2.61x10^9 cans
Hope this answers the question.</span>
Answer:
1/4
Step-by-step explanation:
We can use the slope formula to find the slope
m = (y2-y1)/(x2-x1)
= (2-0)/(4 - -4)
= (2-0)/( 4+4)
= ( 2/8)
= 1/4