Answer:
- The sum of the series is given as
7/(1 + 7z)
- The series converges for (-1/7, 1/7)
Step-by-step explanation:
Given the geometric series:
7 - 14z + 28z² - 56z³ + ...
The common ratio r is given as
-14z/7 or 28z²/(-14z) or -56z³/(28z²) and so on
r = -7z
The sum of the series is given as
S = a/(1 - r)
Where a is the first term in the series.
S = 7/(1 -(-7z))
= 7/(1 + 7z)
The series converges for |-7z| < 1
That is for -1/7 < z < 1/7
<span>base and color are in a ratio of 32:1, where color is "x"
924-x/x=32/1
924-x=32x</span><span>33x=924
x = 28 (gallons of color)</span>
Answer:
x = 20.75
Step-by-step explanation:
<u>Step 1: Solve for x</u>
4x + (-9) = 74
4x - 9 + 9 = 74 + 9
4x / 4 = 83 / 4
x = 20.75
Answer: x = 20.75
Answer:
i believe 0.67 of a chance
Step-by-step explanation:
since there are two jobs and a chance that he won't get either that's three options. so the denominator is three (as a fraction). there are two jobs so the probability of James getting one of the two is 2/3. 2/3 as a decimal is 0.66666 and keeps going on and on forever. Rounded to the nearest hundredth, 0.666666 is 0.67.
It’s 160,130 nearest 100 is 160,200
