The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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2.54 * 12=30.48, so 30.48 in one foot, then multiply that by three for a yard, so for a yard it is 91.44 .
Answer:
c(t) = 25 +12 * t
where t is the number of shirts
Step-by-step explanation:
The total cost for the shirts is the flat fee plus the cost per shirt times 150 shirts
total = fee + cost per shirt* shirts
1825 = 25 +c*150
where c is the cost per shirt
We need to determine the cost per shirt by subtracting 25 from each side
1825-25 = 150c
1800 =150c
Divide by 150 on each side
1800/150 =150c/150
12 =c
Each shirt costs 12 dollars
We want to make the function in terms of cost per shirt
c(t) = 25 +12 * t
where t is the number of shirts
Answer:
y=(x+6)^2
Step-by-step explanation:
Bc, the root has to be only -6
there fore x=-6
What do you mean? I think you need to add a graph with the angles for people to be able to answer that question (you can take a screenshot and then use the paperclip button when you are re-writing the question). Hope this helped.
