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Elina [12.6K]
3 years ago
5

Write each expanded form as a decimal. (5×10)+2+9×1/10+6×(1/100)+3×(1/1000

Mathematics
1 answer:
Reika [66]3 years ago
5 0

Answer:

52.963

Step-by-step explanation:

Simply evaluate the expression. If you can't do it in your head, you can ask a calculator to do it.

(5×10)+2+9×1/10+6×(1/100)+3×(1/1000) = 50 + 2 + 9/10 + 6/100 + 3/1000

... = 50 + 2 + 0.9 + 0.06 + 0.003

.. = 52.963

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Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.
Ne4ueva [31]

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

#SPJ1

6 0
1 year ago
Write each decimal as a fraction or mixed numbest form. -7.08
Andreas93 [3]
-(7+8/100)
= -(7+4/50)
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7 0
3 years ago
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andre [41]

Answer:

Option 3 is the best option that compares the pair of intersecting rays with the angle

Step-by-step explanation:

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So Yeah. :) Hope I've helped

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Answer:

Step-by-step explanation:

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5 0
2 years ago
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