Answer:
y=3/2x-3/2
Step-by-step explanation:
The answer is 54 pi in^3. All you have to do is multiply 3x3, then multiply that by 6 and you get the answer 54.
<em>Note: It seems you may have unintentionally missed adding the answer choices. Thus, I am solving your question in general to give you the idea of how the percentage works, which anyways would solve your query.</em>
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Answer:
Please check the explanation.
Step-by-step explanation:
Given that we have to determine the expressions which are equivalent to 20 percent of 150.
First, we need to determine what actually 20 percent of 150 really brings.
i.e
20% of 150 = 20/100 × 150
= 30
Thus,
20% of 150 = 30
Therefore, any expression that is equivalent to 30 will be included in the answer to this question.
3 squared becomes 9. 9-7 equals 2, which is the final answer.
Answer:
see below
Step-by-step explanation:
The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...
sum = a1/(1 -r)
Applying this to the given series, we get ...
a. sum = 5/(1 -3/4) = 5/(1/4) = 20
b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)
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The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...
S -rS = a1
S = a1/(1 -r)