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:
(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
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300 dishes should be broken
Bc 2/10 so let's times those by 150 then you have 300/1500 :)
Answer:1. The coordinates of Jo’s house are (-4,-2).
Step-by-step explanation:
1. Since Jo’s house is reflected across both axes, we must reflect the coordinates two times. So we can reflect the coordinates of Kianna’s house across the x-axis first, which would give you the coordinates (4,-2). Then we reflect (4,-2) across the y axis, giving us the coordinates (-4,-2). So Jo’s house has the coordinates (-4,-2).
Hope this helps.
Answer:
![y = 2x - 1](https://tex.z-dn.net/?f=y%20%3D%202x%20-%201)
You should also try solving it yourself to make sure I did not make any mistake.
Step-by-step explanation:
Equation:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
first we need the slope
![slope = \frac{y1 - y2}{x1 - x2}](https://tex.z-dn.net/?f=slope%20%3D%20%20%5Cfrac%7By1%20-%20y2%7D%7Bx1%20-%20x2%7D%20)
![slope = \frac{3 - ( - 1)}{2 - 0} = \frac{4}{2} = 2](https://tex.z-dn.net/?f=slope%20%3D%20%20%5Cfrac%7B3%20-%20%28%20-%201%29%7D%7B2%20-%200%7D%20%3D%20%20%5Cfrac%7B4%7D%7B2%7D%20%3D%202)
So far the equation will look like this
![y = 2x + b](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%20b)
Now to get b just pick one point and insert it into the equation. So I'll just pick (2,3)
![3 = 2 \times 2 + b](https://tex.z-dn.net/?f=3%20%3D%202%20%5Ctimes%202%20%2B%20b)
when you solve this equation you'll get b
![b = - 1](https://tex.z-dn.net/?f=b%20%3D%20%20-%201)
We could also check if we get the same answer if we instead use point (0,-1)
![- 1 = 2 \times 0 + b](https://tex.z-dn.net/?f=%20-%201%20%3D%202%20%5Ctimes%200%20%2B%20b)
![b = - 1](https://tex.z-dn.net/?f=b%20%3D%20%20-%201)
Now we have the equation!
![y = 2x - 1](https://tex.z-dn.net/?f=y%20%3D%202x%20-%201)
Answer: They serve as letters and words
Step-by-step explanation: If you knew your abc's you would know