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Firlakuza [10]
3 years ago
5

What is √p⁵q¹⁰ expressed in simplified form

Mathematics
1 answer:
Serhud [2]3 years ago
4 0

\sqrt{ {p}^{5} {q}^{10} }  =  {p}^{2}   {q}^{5} \sqrt{p}

Hope this helps. - M
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Find sin theta if cot theta = -2 and cos theta < 0
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cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>)

So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.

Recall that

cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)

so that

sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)

sin(<em>θ</em>) = 1 / √(cot²(<em>θ</em>) + 1)

Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :

sin(<em>θ</em>) = 1 / √((-2)² + 1)

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1. Below is data collected from a random sample of 40 people at the public library. If the public library has 300 people, then w
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5 0
2 years ago
Which expression is equivalent to 8/15?<br> A. 8÷1/5<br> B. 8÷15<br> C. 15÷1/8<br> D. 15÷8
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It took Amber 5 hours 16 minutes to finish a race. Her time at the halfway marker was 2 hours 49 minutes. How long did it take A
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Solve In (2x+3)=7 round to the nearest thousandth
e-lub [12.9K]
To solve this problem you must apply the proccedure shown below:

 1. You have:
<span>
 In(2x+3)=7

 2. Then, you must apply log(e), as below:
</span><span>
 In(2x+3)=ln(e^7)

 3. Now, you obtain:

 2x+3=e^7

 4. Youy must clear the variable "x", as below:

 2x=e^7-3
</span> x=(e^7-3)/2
<span>
 5. Therefore, the value of "x" is:

 x=546.817
</span><span>
 The answer is: </span>x=546.817<span> </span>
8 0
2 years ago
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