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scZoUnD [109]
3 years ago
14

Please help me please

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0

Answer:50% got you just pick it.

Step-by-step explanation:

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Combine the radicals. 2√24+5√54 A) 53√6 B) 5√6 C) 19√6 D) 93√6
love history [14]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

2√24 + 5√54

To combine the radicals first make sure the radicals have the same square root

That's

<h3><u>For 2√24</u></h3>

<h3>2 \sqrt{24}  = 2 \sqrt{4 \times 6}  = 2 \times 2 \sqrt{6}</h3><h3>= 4 \sqrt{6}</h3><h3 /><h3><u>For 9√54</u></h3>

<h3>5 \sqrt{54}  = 5 \sqrt{9  \times 6}  = 5 \times  \sqrt{9}  \times  \sqrt{6}</h3><h3>= 5 \times 3 \times  \sqrt{6}</h3><h3>= 15 \sqrt{6}</h3><h3 />

Since they have the same square root we can combine them

That's

<h3>4 \sqrt{6}  + 15 \sqrt{6}  = (4 + 15) \sqrt{6}</h3>

We have the final answer as

<h2>19 \sqrt{6}</h2>

Hope this helps you

3 0
3 years ago
Can you tell me how to calculate R for below Matrix ?
scoray [572]

Answer:

The rank of the matrix is 3.

Step-by-step explanation:

Consider the prided information.

x=\begin{bmatrix}x_1\\ x_2\\ x_3\end{bmatrix}=\begin{bmatrix}9&2&6&5&8\\ 12&8&6&4&10\\ 3&4&0&2&1\end{bmatrix}

Reduce the matrix in row echelon form as shown:

R_1\:\leftrightarrow \:R_2\begin{bmatrix}12&8&6&4&10\\ 9&2&6&5&8\\ 3&4&0&2&1\end{bmatrix}\\

R_2\:\leftarrow \:R_2-\frac{3}{4}\cdot \:R_1\ and\ R_3\:\leftarrow \:R_3-\frac{1}{4}\cdot \:R_1\\\\\begin{bmatrix}12&8&6&4&10\\ 0&-4&\frac{3}{2}&2&\frac{1}{2}\\ 0&2&-\frac{3}{2}&1&-\frac{3}{2}\end{bmatrix}

R_3\:\leftarrow \:R_3+\frac{1}{2}\cdot \:R_2\\\begin{bmatrix}12&8&6&4&10\\ 0&-4&\frac{3}{2}&2&\frac{1}{2}\\ 0&0&-\frac{3}{4}&2&-\frac{5}{4}\end{bmatrix}

R_2\:\leftarrow \:R_2-\frac{3}{2}\cdot \:R_3\ and\ R_1\:\leftarrow \:R_1-6\cdot \:R_3\\\begin{bmatrix}12&8&0&20&0\\ 0&-4&0&6&-2\\ 0&0&1&-\frac{8}{3}&\frac{5}{3}\end{bmatrix}\\R_2\:\leftarrow \:-\frac{1}{4}\cdot \:R_2\ , \ R_1\:\leftarrow \:R_1-8\cdot \:R_2\ and\ \:R_1\:\leftarrow \frac{1}{12}\cdot \:R_1\\\begin{bmatrix}1&0&0&\frac{8}{3}&-\frac{1}{3}\\ 0&1&0&-\frac{3}{2}&\frac{1}{2}\\ 0&0&1&-\frac{8}{3}&\frac{5}{3}\end{bmatrix}

The rank of a matrix is the number of non zeros rows.

Thus, the rank of the matrix is 3.

6 0
3 years ago
How do I <br> Divide. Write in simplest form
sladkih [1.3K]

Answer:

14/42

Step-by-step explanation:

Use the keep change flip strategy or butterfly multiply

6 0
3 years ago
Describe the change int he radius of a circle when the area is multiplied by 1/4.
Marianna [84]
I think the correct answer is C. Since a=πr², in order to get the area to become 1/4 of what it was previously, the radius needs to be cut in half to make the divide that side by 4.  a=π(r/2)²=πr²/4 and will therefore multiply the area by 1/4.
4 0
3 years ago
What is the mode of this data set: 17, 13, 18, 20, 17, 15, 12<br><br> A. 19<br><br> B. 17
telo118 [61]
<h3>Answer: B. 17</h3>

The mode is the most frequent or most occurring value. The value 17 shows up the most times, at two times, so this is the mode. The value 19 is not even part of the given set of values, so you can immediately cross of choice A.

Side note: it is possible for a set to have more than one mode, and it's also possible to not have a mode at all.

7 0
3 years ago
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