Here we're discussing the "nth partial sum of a geom series."
1 - r^n
The formula for that is s(n) = a(1) ---------------
1-r
We can subst. the given values and see where that takes us:
1 - (-2)^6 1 - 64
105 = a(1)*---------------- = ----------*a(1) = -21*a(1)
1-(-2) 3
105
Solving this for a(1): a(1) = --------- = -5 (answer)
-21
Step-by-step explanation:
4 pounds is 4÷1=8
2
5 pounds is 5÷1=10
2
Answer: part A: 5.4 because its a terminating deciaml Part B: 5.67854... and to the nearest hundereth is 5.68
Step-by-step explanation:
Answer:
C. 24 meters
Step-by-step explanation:
Given:
Total length of fabric required for the costume = 56.6 m
Length of fabric Zhou already has = 15 m
Length of fabric James just purchased = 17.6 m
To find how much more length of fabric is required to make the complete costume.
Solution:
<em>Let the length of fabric in meters still required be</em> = 
<em>The total length can be given as :</em>
⇒ 
⇒ 
The total fabric required = 56.6 m
So, the equation to find
will be:

Subtracting both sides by 32.6

∴ 
Thus,<u> 24 meters</u> of fabric is still required to make the costume.
Answer:
8m + 6
Step-by-step explanation:
18 + 4(m-3) + 4m = ? (distribute 4 into parenthesis)
18 + 4m -12 + 4m ( combine like terms)
8m + 6