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solmaris [256]
3 years ago
9

How do you simplify this.

Formula1" title=" \sqrt{24x ^{2} } y ^{3} " alt=" \sqrt{24x ^{2} } y ^{3} " align="absmiddle" class="latex-formula">

Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0

\bf \sqrt{24x^2y^3}~~ \begin{cases} 24=2\cdot 2\cdot 2\cdot 3\\ \qquad 2^2\cdot 6\\ y^3=y^{2+1}\\ \qquad y^2\cdot  y^1 \end{cases} \\\\\\ \sqrt{2^2\cdot 6\cdot x^2\cdot y^2\cdot y^1}\implies  2xy\sqrt{6y}

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Chris can type 490 words in 7 min how many works can he type PER min <br> You get 14 points
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How can you decompose the composite figure to determine its area?
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see the attached figure to better understand the problem

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Read 2 more answers
Please answer this question correctly and i'll mark you as brainlilest! Thank you.
raketka [301]

Answer:

\frac{ {7}^{4} ( - 2) {}^{4} {11}^{3}  6}{7 {}^{3}    {2}^{2} {6}^{2} 11 {}^{2}   }  =  \frac{7 \times  {2}^{2}  \times 11}{6}  =  \frac{308}{6}  =  \frac{154}{3}   \\  \\  \frac{ {7}^{0} {12}^{0}  {17}^{0}  }{ {57}^{0}  + ( {42}^{0}  \times ( {13}^{0} ))}  =  \frac{1}{1 + 1}  =  \frac{ 1}{2}

4 0
3 years ago
Let AA and BB be events such that P(A∩B)=1/73P(A∩B)=1/73, P(A~)=68/73P(A~)=68/73, P(B)=21/73P(B)=21/73. What is the probability
krok68 [10]

Answer:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

Step-by-step explanation:

Let A and B events. We have defined the probabilities for some events:

P(A') =\frac{68}{73} , P(B) =\frac{21}{73} , P(A \cap B) =\frac{1}{73}

Where A' represent the complement for the event A

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

So for this case we can solve for P(A) like this:

P(A) = 1-P(A') = 1-\frac{68}{73}=\frac{5}{73}

And now we can find P(A \cup B) using the total probability rul given by:

P(A \cup B) = P(A)+P(B) -P(A \cap B)

And if we replace the values given we got:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

And that would be the final answer.

5 0
3 years ago
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