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Artemon [7]
3 years ago
9

Explain how you can tell that 31\33 is in simplest form

Mathematics
2 answers:
Ann [662]3 years ago
4 0
\frac{31}{33} is in simplest form because no whole number what so ever can be divided by d numerator and d denominator to get a proper fraction. Here are some examples in trying to divide it with whole numbers but failing:-

\frac{31/3}{33/3} =  \frac{10.333....}{11}

\frac{31/4}{33/4}= \frac{7.75}{8.25}

Hope i helped ya!! 

Sindrei [870]3 years ago
3 0
Because there is no whole number that you can divide into both the numerator and the denominator to get a proper fraction.
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What is the derivative of ln(lnx^3)
chubhunter [2.5K]

the derivative of ln(lnx^3) is \frac{1}{x(lnx)} .

<u>Step-by-step explanation:</u>

Here we have to find the derivative of ln(lnx^3) , Let's find out:

We have , ln(lnx^3) , Let's differentiate it w.r.t x :

⇒ \frac{d(ln(lnx^3))}{dx}

Let lnx^3 = u

⇒ \frac{d(ln(u))}{dx}

⇒ \frac{1}{u} (\frac{d(u)}{dx} )

⇒ \frac{1}{u} (\frac{d(ln(x^3))}{dx} )

Let x^3=v

⇒ \frac{1}{u} (\frac{d(ln(v))}{dx} )

⇒ \frac{1}{u}(\frac{1}{v} ) (\frac{d(v)}{dx} )

⇒ \frac{1}{u}(\frac{1}{v} ) (\frac{d(x^3)}{dx} )            

⇒ 3x^2(\frac{1}{u})(\frac{1}{v} )

Putting value of u & v we get:

⇒ 3x^2(\frac{1}{lnx^3})(\frac{1}{x^3} )

⇒ \frac{3}{x(lnx^3)}    { lnx^n = n(lnx)  }

⇒ \frac{3}{3x(lnx)}

⇒ \frac{1}{x(lnx)}

Therefore , the derivative of ln(lnx^3) is \frac{1}{x(lnx)} .

6 0
4 years ago
If A={2,3,5,7} and B={2,4,6,8} then what is AnB?​
gregori [183]

Answer:

  • A∩B = {2}

Step-by-step explanation:

It asks for the common set of A and B.

<u>There only one element common to both the given sets:</u>

  • A={2,3,5,7} and B={2,4,6,8} ⇒ A∩B = {2}
6 0
3 years ago
Read 2 more answers
What is the value of 1-61?<br><br> A. -6<br> B. -3<br> C. 0<br> D. 6
damaskus [11]

Answer:

D. 6

Step-by-step explanation:

| -6|

Absolute values means take the positive value

The positive value of -6 is +6

6 0
4 years ago
Read 2 more answers
DE is a Mid-segment of triangle ABC. How long is DE?
KIM [24]

Answer:

DE = 14

Step-by-step explanation:

Since, DE is a Mid-segment of triangle ABC.

Therefore,

DE = 1/2 * AC

2 DE = AC

2(5x - 1) = 3x + 19

10x - 2 = 3x + 19

10x - 3x = 19 +2

7x = 21

x = 21/7

x = 3

DE = 5x - 1

DE = 5*3 - 1

DE = 15 - 1

DE = 14

8 0
3 years ago
Help with all 4 asap thanks
Zina [86]

Answer:

1=122

2=148

3=151

4=114

Step-by-step explanation:

i subtracted the degrees from 180 degrees and got my answer

5 0
3 years ago
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