Answer:
Step-by-step explanation:
Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.[2]:1.1 It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science.
Mrs. Smith donated $20
The constant proportionality is $1 because no matter what, Mrs. smith will donate $1 for each mile. So if Sam were to only walk 1 mile, mrs. smith would donate $1. Or seen as a 1:1 proportion.
Answer: 
Step-by-step explanation:
<u>Given expression</u>
![\large\boxed{\frac{12[30 - (9+4^2)]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cfrac%7B12%5B30%20-%20%289%2B4%5E2%29%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
<u>Simplify the exponents</u>
![\large\boxed{=\frac{12[30 - (9+16)]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B30%20-%20%289%2B16%29%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
Simplify values in the parenthesis
![\large\boxed{=\frac{12[30 - 25]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B30%20-%2025%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
![\large\boxed{=\frac{12[5]}{|10|-|-6| } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B5%5D%7D%7B%7C10%7C-%7C-6%7C%20%7D%20%7D)
<u>Simplify absolute values (all positive)</u>
![\large\boxed{=\frac{12[5]}{10-6 } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B5%5D%7D%7B10-6%20%7D%20%7D)
![\large\boxed{=\frac{12[5]}{4 } }](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D%5Cfrac%7B12%5B5%5D%7D%7B4%20%7D%20%7D)
<u>Simplify by division</u>
![\large\boxed{=3~[5]}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%3D3~%5B5%5D%7D)
<u>Simplify by multiplication</u>
Hope this helps!! :)
Please let me know if you have any questions
Answer:
a
Step-by-step explanation:
square root distribute to numerator and denominator so both get square rooted 
/8
