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8090 [49]
2 years ago
7

Please use an equation step by step and please show the numbers do not use words

Mathematics
1 answer:
Pepsi [2]2 years ago
3 0

Answer:

Sorry but u need another photo i can't see

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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.
  • n - Grade of the power binomial.
  • 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
Pairs that satisfy function y=2x+1
evablogger [386]

Test a pair from each table by substituting their values into the given equation and solving.

A) y = 2x + 1 .......... 2 = 2(0) + 1 .......... 2 ≠ 1

B) y = 2x + 1 .......... 1 = 2(0) + 1 .......... 1 = 1

C) y = 2x + 1 .......... -1 = 2(0) + 1 .......... -1 ≠ 1

D) y = 2x + 1 .......... -2 = 2(0) + 1 .......... -2 ≠ 1


The only pair that satisfied the equation was from answer choice B. Therefore, B is the correct answer.

8 0
3 years ago
What are the rigid transformations that will map AABC to ADEF?​
asambeis [7]

Answer:

A tranlation and a rotaion.

Step-by-step explanation:

In order to map the shapes, you have to translate point A onto point D and then rotate until points C and F, and B and E match up.

6 0
3 years ago
What transformation will the following equation have from its parent?
muminat
Reflection across the x-axis (because there is a negative)

And

Vertical compression (because a is between 0 and 1)
7 0
2 years ago
A 15oz iced tea at a certain restaurant has 90 calories. How many calories are there in a 23oz iced tea?
Lyrx [107]

Answer:

138 calories

Step-by-step explanation:

one Oz iced tea = 90/15 = 6

one Oz iced tea = 6 calories

23 Oz iced tea = 6 x 23 = 138 calories

7 0
2 years ago
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