The increasing order of the complex numbers is (√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.
<h3>
Absolute values of the complex numbers</h3>
The absolute values of the complex numbers are determined as follows;
(sqrt3-sqrt3i)^4 = (√3 - √3i)⁴
![|z| = \sqrt{(\sqrt{3} )^2 + (\sqrt{3 }\times1 )^2} } \\\\|z| = \sqrt{6}](https://tex.z-dn.net/?f=%7Cz%7C%20%3D%20%5Csqrt%7B%28%5Csqrt%7B3%7D%20%29%5E2%20%2B%20%28%5Csqrt%7B3%20%7D%5Ctimes1%20%29%5E2%7D%20%7D%20%5C%5C%5C%5C%7Cz%7C%20%3D%20%5Csqrt%7B6%7D)
(-1+sqrt3i)^12 = (-1 + √3i)¹²
![|z| = \sqrt{(-1)^2 + (\sqrt{3)^2} } \\\\|z| = \sqrt{4} \\\\|z| = 2](https://tex.z-dn.net/?f=%7Cz%7C%20%3D%20%5Csqrt%7B%28-1%29%5E2%20%2B%20%28%5Csqrt%7B3%29%5E2%7D%20%7D%20%5C%5C%5C%5C%7Cz%7C%20%3D%20%5Csqrt%7B4%7D%20%5C%5C%5C%5C%7Cz%7C%20%3D%202)
(sqrt 3-i)^6 = (√3 - i)⁶
![|z| = \sqrt{(\sqrt{3})^2 + (-1)^2 } \\\\|z| = \sqrt{4} \\\\|z| = 2](https://tex.z-dn.net/?f=%7Cz%7C%20%3D%20%5Csqrt%7B%28%5Csqrt%7B3%7D%29%5E2%20%2B%20%28-1%29%5E2%20%7D%20%5C%5C%5C%5C%7Cz%7C%20%3D%20%5Csqrt%7B4%7D%20%5C%5C%5C%5C%7Cz%7C%20%3D%202)
(sqrt2-sqrt2i)^8 = (√2 - √2i)⁸
![|z| = \sqrt{(\sqrt{2} )^2 + (\sqrt{2})^2 } \\\\|z| = 2](https://tex.z-dn.net/?f=%7Cz%7C%20%3D%20%5Csqrt%7B%28%5Csqrt%7B2%7D%20%29%5E2%20%2B%20%28%5Csqrt%7B2%7D%29%5E2%20%7D%20%5C%5C%5C%5C%7Cz%7C%20%3D%202)
(sqrt2-i)^6 = (√2 - i)⁶
![|z| = \sqrt{(\sqrt{2})^2 + (-1)^2} } \\\\|z| = \sqrt{3}](https://tex.z-dn.net/?f=%7Cz%7C%20%3D%20%5Csqrt%7B%28%5Csqrt%7B2%7D%29%5E2%20%2B%20%28-1%29%5E2%7D%20%7D%20%5C%5C%5C%5C%7Cz%7C%20%3D%20%5Csqrt%7B3%7D)
Increasing order of the complex numbers;
(√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.
Learn more about complex numbers here: brainly.com/question/10662770
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Your answer is 9 for this problem
Answer:
12.5 kilograms
Step-by-step explanation:
Given:
Half of the granola served with breakfast.
Let the amount of Granola present initially =
kg
Half of it (
) served with breakfast, so remaining granola :
![x-\dfrac{x}{2} = \dfrac{x}{2}](https://tex.z-dn.net/?f=x-%5Cdfrac%7Bx%7D%7B2%7D%20%3D%20%5Cdfrac%7Bx%7D%7B2%7D)
After dinner, the remaining granola 6,250 gm granola was served with yogurt dessert.
First of all, let us convert it to kilogram because the answer is required in Kilograms.
We know that:
1000 gms = 1 kilograms
1 gms = 0.001 kilograms
6250 gms = 6250
0.001 = 6.250 kilograms
Now, as per given question statement:
![\dfrac{x}{2} = 6.250\ kg\\\Rightarrow x = 2 \times 6.250\\\Rightarrow \bold{x = 12.5\ kg}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B2%7D%20%3D%206.250%5C%20kg%5C%5C%5CRightarrow%20x%20%3D%202%20%5Ctimes%206.250%5C%5C%5CRightarrow%20%5Cbold%7Bx%20%3D%2012.5%5C%20kg%7D)
So, the answer is:
Girl scout camp started with 12.5 Kilograms of granola.
What are the coordinates of the 2 points?
Answer:
Five plus the difference of seventeen and eight