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Anni [7]
2 years ago
8

O.1 recurring as a fraction in its simplest form

Mathematics
1 answer:
Lapatulllka [165]2 years ago
8 0

0.1 recurring as a fraction would be 1/9

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Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
Mars2501 [29]

The solution to the binomial expression by using Pascal's triangle is:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>

Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.

We can have the Pascal tree triangle expressed as follows:

                          1

               1                   1

        1                2                 1

    1          3              3               1

1      4            6                4            1

--- --- --- --- --- --- --- --- --- --- --- --- --- --- ---

From the given information:

The expansion of (3x-4y)^11 will correspond to line 11.

Using the general formula for the Pascal triangle:

\mathbf{(a+b)^n = c_oa^nb^0 + c_1 a^{n-1}b^1+c_{n-1}a^1b^{n-1}+c_na^0b^n}

The solution to the expansion of the binomial (3x-4y)^11 can be computed as:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

Learn more about Pascal's triangle here:

brainly.com/question/16978014

#SPJ1

5 0
2 years ago
john collecrs cards. he collects 44 red, 67 blue cards, and 52 yellow. he puts 9 in protective sheets how many full sheets does
Kobotan [32]

Answer:

He has 18 full sheets.

Step-by-step explanation:

44 + 52 + 67 = 163

163/9 = 18.11

The question specifically asks for a whole number, not a decimal or fraction, so the answer is 18 full sheets.

8 0
3 years ago
Uhhhhh help lol find angle
Sonbull [250]

Answer:

129°

Step-by-step explanation:

51+51 =102

360-102=258

258÷2=129

:)

8 0
2 years ago
Allison can run 3.1 miles in 30 minutes. Which proportion could be used to find
Kobotan [32]

Answer:

3.1/30

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
A train traveled 399 miles in 7 hours. Find the train's speed.
GrogVix [38]
The train is traveling at 57 miles per hour.
7 0
3 years ago
Read 2 more answers
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