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Mathematics

1 answer:

Molodets [167]2 years ago

3 0

11:19. you would put 11 first to represent the girl and 19 by adding 11 and 8 to represent the total number of students

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Look at picture (15 point)

NNADVOKAT [17]

Answer:

Option C is the correct option

Step by step explanation

$\sqrt{ \frac{22 {x}^{6} }{11 {x}^{4} } }$

Reduce the fraction with 11

$\sqrt{ \frac{2 {x}^{6} }{ {x}^{4} } }$

Simplify the expression

$\sqrt{2 {x}^{6 - 4} }$

$\sqrt{2 \: {x}^{2} }$

Simplify the radical expression

$x \sqrt{2}$

Hope this helps...

Good luck on your assignment..

3 0

2 years ago

saul85 [17]

Answer:

Step-by-step explanation:

7 0

3 years ago

Solve the proportion.<br> 5/1=d/9 <br><br> d=___

MArishka [77]

The correct answer is d=45 :)

7 0

2 years ago

Read 2 more answers

Find the sum of the geometric series 512+256+ . . .+4

mario62 [17]

$\bf 512~~,~~\stackrel{512\cdot \frac{1}{2}}{256}~~,~~...4$

so, as you can see above, the common ratio r = 1/2, now, what term is +4 anyway?

$\bf n^{th}\textit{ term of a geometric sequence}\\\\a_n=a_1\cdot r^{n-1}\qquad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\a_n=+4\end{cases}$

$\bf 4=512\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{4}{512}=\left( \cfrac{1}{2} \right)^{n-1}\\\\\\\cfrac{1}{128}=\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{1}{2^7}=\left( \cfrac{1}{2} \right)^{n-1}\implies 2^{-7}=\left( 2^{-1}\right)^{n-1}\\\\\\(2^{-1})^7=(2^{-1})^{n-1}\implies 7=n-1\implies \boxed{8=n}$

so is the 8th term, then, let's find the Sum of the first 8 terms.

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\n=8\end{cases}$

$\bf S_8=512\left[ \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right]\implies S_8=512\left(\cfrac{1-\frac{1}{256}}{\frac{1}{2}} \right)\implies S_8=512\left(\cfrac{\frac{255}{256}}{\frac{1}{2}} \right)\\\\\\S_8=512\cdot \cfrac{255}{128}\implies S_8=1020$