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lukranit [14]
3 years ago
7

you have already read 117 pages of a book. you are one third of the way through the book. find the number of pages in the book.

Mathematics
1 answer:
madreJ [45]3 years ago
4 0
If you have read 117 pages of a book and it's one third of the book, then: 117 = 1/3 x / * 3 (both sides) x = 351 So the book has 351 pages overall
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Use the binomial expansion and approximation to find √3​
belka [17]

According to the use of binomial expansion, the approximate value of √3 is found by applying the infinite sum √3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...

An acceptable result cannot be found manually for it requires a <em>high</em> number of elements, with the help of a solver we find that the <em>approximate</em> value of √3 is 1.732.  

<h3>How to approximate the value of a irrational number by binomial theorem</h3>

Binomial theorem offers a formula to find the <em>analytical</em> form of the power of a binomial of the form (a + b)ⁿ:

(a + b)^{n} = \sum \limits_{k = 0}^{n} \left(\begin{array}{c}n\\k\end{array}\right)\cdot a^{n-k} \cdot b^{k}     (1)

Where:

  • a, b - Constants of the binomial.
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  • k - Index of the k-th element of the power binomial.

If we know that a = 1, b = 2 and n = 1 / 2, then an approximate expression for the square root is:

√3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...

To learn more on binomial expansions: brainly.com/question/12249986

#SPJ1

8 0
1 year ago
An equation is shown below: 3(4x − 2) = 1 Which of the following correctly shows the first two steps to solve this equation?
Svetlanka [38]

Answer:

3(4x − 2) = 1

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5 0
3 years ago
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Answer:

C. Get it by itself

Step-by-step explanation:

When solving for a variable, whether it be an inequality, a factor, or an algebraic expression. Getting the specified variable by itself is the most effective and best way to get that answer to your question. The other two answers here do not make any sense whatsoever.

3 0
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Answer:

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Step-by-step explanation:

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