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Bingel [31]
1 year ago
14

How is Pascal's triangle used in binomial theorem?.

Mathematics
1 answer:
Scorpion4ik [409]1 year ago
7 0

To simplify the process of expanding a binomial of the type (a+b) n (a + b) n, use Pascal's triangle. The same numbered row in Pascal's triangle will match the power of n that the binomial is being raised to.

A triangular array of binomial coefficients known as Pascal's triangle can be found in algebra, combinatorics, and probability theory. Even though other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy, it is called after the French mathematician Blaise Pascal in a large portion of the Western world. Traditionally, the rows of Pascal's triangle are listed from row =0 at the top (the 0th row). Each row's entries are numbered starting at k=0 on the left and are often staggered in relation to the numbers in the next rows. The triangle could be created in the manner shown below: The top row of the table, row 0, contains one unique nonzero entry.

Learn more about triangle here

brainly.com/question/2773823

#SPJ4

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zhuklara [117]

Answer:

The answer is 1 13/27.

Step-by-step explanation:

First, convert any mixed numbers to fractions --

the initial equations then reads as 5/3 x 8/9.

Then, applying the fractions formula for multiplication --

5 x 8 / 3 x 9

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Simplifying the above --

1 13/27

5 0
2 years ago
How to write eight ten thousandths in number form
vagabundo [1.1K]

Answer:

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8 0
3 years ago
Which of the following represents "10 less than n"?<br><br> 10 - n<br> n - 10<br> -10n
Ivan
N-10 because you want to take 10 away from n
5 0
3 years ago
If f(x)=(1/8)(8^x) what is f(3)?<br> A. 1/512<br> B. 1/64<br> C. 512<br> D. 64
cestrela7 [59]
Hi there!

Let's solve this problem step by step!
f(x) =  \frac{1}{8} (8 {}^{x})

To find f(3) we must substitute x = 3 into the formula.
f(3) =  \frac{1}{8} (8 {}^{3} )

Now we use PEMDAS (Parenthesis, exponents, multiply, divide, add, subtract) to find our answer.

Work out the exponents inside the parenthesis first.
f(3) =  \frac{1}{8}  \times 512

And finally multiply.
f(3) =  \frac{1}{8}  \times  \frac{512}{1}  =  \frac{512}{8}  = 64

Hence, the answer is D. 64.
~ Hope this helps you!
4 0
2 years ago
Read 2 more answers
A manufacturer of lawnmowers wanted to know the most important product attributes to consumers. The company's research team deve
stepladder [879]

Answer: Ordinal measurement scale

Step-by-step explanation:

In ordinal measurement scale the order of values or variables are very important. Just as in the case above, the rating from 1-3 is according to the order of it's importance.

Thanks

7 0
2 years ago
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