Answer:
Proper Subsets = 1023
Step-by-step explanation:
Given![W= \{Hampton\ Hotels, Anytime\ Fitness, Subway, Jack\ in\ the\ Box, Supercuts, \\Jimmy\ Johns, Servpro, Denny's, Pizza\ Hut, 7-Eleven\}](https://tex.z-dn.net/?f=W%3D%20%5C%7BHampton%5C%20Hotels%2C%20Anytime%5C%20Fitness%2C%20Subway%2C%20Jack%5C%20in%5C%20the%5C%20Box%2C%20Supercuts%2C%20%5C%5CJimmy%5C%20Johns%2C%20Servpro%2C%20Denny%27s%2C%20Pizza%5C%20Hut%2C%207-Eleven%5C%7D)
Required
Determine the proper subsets
Proper Subset (P) is calculated using;
![P = 2^n - 1](https://tex.z-dn.net/?f=P%20%3D%202%5En%20-%201)
Where
![n = number\ of\ elements](https://tex.z-dn.net/?f=n%20%3D%20number%5C%20of%5C%20elements)
In this case;
![n = 10](https://tex.z-dn.net/?f=n%20%3D%2010)
So:
![P = 2^n - 1](https://tex.z-dn.net/?f=P%20%3D%202%5En%20-%201)
![P = 2^{10} - 1](https://tex.z-dn.net/?f=P%20%3D%202%5E%7B10%7D%20-%201)
![P = 1024 - 1](https://tex.z-dn.net/?f=P%20%3D%201024%20-%201)
![P = 1023](https://tex.z-dn.net/?f=P%20%3D%201023)
Hence;
<em>Proper Subsets = 1023</em>
I think B should be the answer
I think 710 is the answer
266+266+89+89= 710
So Scientific Notation is a "simplified version" of a number. For example, is your number is 2,345, the scientific notation would be 2.345 * 10³.
If it was 0.023, then the scientific notation would be 2.3 * 10^-2.
Scientific notation is found by moving the decimal place to the left or right, until only one digit is left to the left of the decimal; it has to be greater than 1, but less than ten. If you move the decimal place to the right, it's a negative power of 10. If you move it to the left, it is a positive power of 10.
Hope this helps!