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3 years ago

List the following fractions from least to greatest.

Mathematics

1 answer:

sleet_krkn [62]3 years ago

4 0

<h3>Answer: Choice A) 1/7, 3/7, 4/7, 6/7</h3>

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Explanation:

All of the fractions, for each of the answer choices, has a denominator of 7. This means we can ignore them when it comes to sorting out the fractions. Focus only on the numerators.

Choice A has numerators 1,3,4,6 in that order from left to right. This is in increasing order (ie smallest to largest), so this is why choice A is the answer.
Choice B has the numerators 6,4,3,1 in that order. This is from largest to smallest, which is the complete opposite of what we want. Choice B is incorrect.
Choice C has numerators 1,6,4,3 which is in neither order. Rule this out as well.
Choice D has numerators 3,4,1,6 and we can rule it out for similar reasoning as choice C.

If you want, you can convert each fraction to decimal form to sort out the decimals that way, then convert back to fraction form.

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Integrate the following:<br><img src="https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Cint%20%5C%3A%20%20%5Ctan%28x%29%20%20%20%5

Korvikt [17]

Answer:

$\huge \boxed{\red{ \boxed{ - \cos(x) + C}}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

integration
PEMDAS

<h3>tips and formulas:</h3>

$\tan( \theta) = \dfrac{ \sin( \theta) }{ \cos( \theta) }$
$\sf \displaystyle \int \sin(x) \: dx = - \cos(x) + C$

<h3>let's solve:</h3>

$\sf \: rewrite \: \tan( \theta) \: as \: \dfrac{ \sin( \theta) }{ \cos( \theta) } : \\ = \displaystyle \int \: \frac{ \sin(x) }{ \cos(x) } \cos(x) \: dx \\ = \displaystyle \int \: \frac{ \sin(x) }{ \cancel{\cos(x) }} \: \cancel{ \cos(x)} \: dx \\ = \displaystyle \int \: \sin(x) \: dx$
$\sf \: use \: the \: formula : \\ \sf \displaystyle - \cos(x)$
$\sf add \: constant : \\ - \cos(x) + C$

$\text{And we are done!}$

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3 years ago

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nataly862011 [7]

Answer:

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jeyben [28]

We have the following:

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ale4655 [162]

Answer:

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Step-by-step explanation:

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