Answer:
8/27
Step-by-step explanation:
Carry the exponent to both the numerator and denominator and solve for your values
2^3 = 8
3^3 = 27
8/27
Answer:
30
Step-by-step explanation:
First, you have to convert 20% into a decimal.
Explanation:
20 ÷ 100 = 0.2
Now multiply 0.2 by 150
Explanation:
0.2 × 150 = 30.
Therefore, 20% of 150 is 30.
<h3>
Answer: choice C) geometric series</h3>
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Explanation:
The sequence {5, 5/3, 5/9, 5/27, 5/81, ...} is a geometric sequence with starting term a = 5 and common ratio r = 1/3
A geometric sequence is such that each term is generated by multiplying the last term by the same common ratio to get the next term
- first term = a = 5
- second term = (first term)*(common ratio) = a*r = 5*(1/3) = 5/3
- third term = (second term)*(common ratio) = (5/3)*(1/3) = 5/9
- fourth term = (third term)*(common ratio) = (5/9)*(1/3) = 5/27
- fifth term = (fourth term)*(common ratio) = (5/27)*(1/3) = 5/81
and so on. When we add up terms in a sequence, we form a series.
The expression that represents the phrase "twice the difference of a number and 5" is 2(x - 5).
<h3>What is the expression that represents the phrase?</h3>
The difference of a number and 5 is given by:
x - 5.
As we don't know the number, hence we call it x.
Twice that is:
2(x - 5).
Hence the expression that represents the phrase "twice the difference of a number and 5" is 2(x - 5).
A similar problem, in which the expression that represents a phrase is found, is given at brainly.com/question/2164351
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111₂ = 1•2² + 1•2¹ + 1•2⁰
111₂ = 4 + 2 + 1
111₂ = 7