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vagabundo [1.1K]
3 years ago
5

What is the best estimate for 5 A. 3.1209 B. 4.0987. C. 2.2360 D 2.0037

Mathematics
2 answers:
enot [183]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Brrunno [24]3 years ago
3 0
Answer:

B. 4.0987. :)
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What is the sum of the infinite geometric series 9−6+4−83+...9-6+4-83+...??
vivado [14]
Successive terms have a common factor of -\dfrac23, which means the nth partial sum of the series can be written as

S_n=9-6+4-\dfrac83+\cdots+9\left(-\dfrac23\right)^{n-1}
S_n=9\left(1+\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\cdots+\left(-\dfrac23\right)^{n-1}

\implies-\dfrac23S_n=9\left(\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\left(-\dfrac23\right)^4+\cdots+\left(-\dfrac23\right)^n\right)

\implies S_n-\left(-\dfrac23\right)S_n=9\left(1-\left(-\dfrac23\right)^n\right)
\dfrac53S_n=9\left(1-\left(-\dfrac23\right)^n\right)
S_n=\dfrac{27}5\left(1-\left(-\dfrac23\right)^n\right)

As n\to\infty, the geometric term vanishes, leaving you with

S=\displaystyle\lim_{n\to\infty}S_n=\dfrac{27}5
7 0
3 years ago
Solve y + 8 &lt; 13 <br> try y ? 7
Rudik [331]

Answer:

y<5

Step-by-step explanation:

y+8 < 13

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8 0
2 years ago
Homework Help ASAP
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Answer:

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Step-by-step explanation:

3/8 + 5/8 =8/8

he uses 2/8 so

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I am pretty sure of my explanation but the answer is correct.

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A drawing. I guess the sky

Step-by-step explanation:

this is a very hard question

5 0
3 years ago
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