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1 year ago

How many kilometers are there in 9000000cm

Mathematics

2 answers:

tekilochka [14]1 year ago

7 0

QUESTION:- How many kilometers are there in 9000000cm.

ANSWER:-

$1cm = {10}^{ - 5} km \\ 9000000cm =9000000 \times {10}^{ - 5} km \\ 9 \times {10}^{6} cm = 9 \times {10}^{6} \times {10}^{ - 5} \\ 9 \times {10}^{6} cm = 9 \times {10}^{6 - 5} \\ 9 \times {10}^{6} cm = 90km$

erik [133]1 year ago

5 0

Answer:

90 kilometers

Step-by-step explanation:

https://www.bing.com/search?q=kilometers+are+there+in+9000000cm

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Find the sum of the first 8 terms of the following series, to the nearest integer.

motikmotik

Answer:

The sum of the first 8 terms will be:

$\frac{1288991}{7776}$

Step-by-step explanation:

Given the sequence

$36, 30, 25, ...$

A geometric sequence has a constant ratio and is defined by

$a_n=a_0\cdot r^{n-1}$

computing the common ratio

$\frac{30}{36}=\frac{5}{6},\:\quad \frac{25}{30}=\frac{5}{6}$

$r=\frac{5}{6}$

As the first element is

$a_1=36$

so the nth term will be:

$a_n=a_0\cdot r^{n-1}$

$a_n=36\left(\frac{5}{6}\right)^{n-1}$

Geometric sequence sum formula

$a_1\frac{1-r^n}{1-r}$

Plugin the values to determine the sum of the first 8 terms

$n=8,\:\spacea_1=36,\:\spacer=\frac{5}{6}$

$=36\cdot \frac{1-\left(\frac{5}{6}\right)^8}{1-\frac{5}{6}}$

$=\frac{\left(1-\left(\frac{5}{6}\right)^8\right)\cdot \:36}{1-\frac{5}{6}}$

$=\frac{36\left(-\left(\frac{5}{6}\right)^8+1\right)}{\frac{1}{6}}$

$=\frac{36\left(-\frac{390625}{1679616}+1\right)}{\frac{1}{6}}$

$=\frac{\left(1-\frac{390625}{1679616}\right)\cdot \:36\cdot \:6}{1}$

$=\frac{216\left(-\frac{390625}{1679616}+1\right)}{1}$

$=\frac{216\cdot \frac{1288991}{1679616}}{1}$

$=216\cdot \frac{1288991}{1679616}$

$=\frac{1288991\cdot \:216}{1679616}$

$=\frac{278422056}{1679616}$

$=\frac{1288991}{7776}$

Therefore, the sum of the first 8 terms will be:

$\frac{1288991}{7776}$

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2 years ago

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2 years ago

How many kilometers are there in 9000000cm​

How many kilometers are there in 9000000cm