Answer:
The value is
Explanation:
From the question we are told that
The distance of planet Tatoone is ![d = 1.7 \ AU = 1.7 *1.496* 10^{11}=2.543*10^{11} \ m](https://tex.z-dn.net/?f=d%20%3D%20%201.7%20%5C%20AU%20%20%3D%20%201.7%20%2A1.496%2A%2010%5E%7B11%7D%3D2.543%2A10%5E%7B11%7D%20%5C%20m)
The speed of light is ![c = 3.0*10^{8} \ m/ s](https://tex.z-dn.net/?f=c%20%3D%20%203.0%2A10%5E%7B8%7D%20%5C%20%20m%2F%20%20s)
Generally the time taken is mathematically represented as
![t = \frac{d}{c}](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7Bd%7D%7Bc%7D)
=> ![t = \frac{2.543*10^{11}}{3.0*10^{8} }](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B2.543%2A10%5E%7B11%7D%7D%7B3.0%2A10%5E%7B8%7D%20%7D)
=> ![t = 847.7 \ s](https://tex.z-dn.net/?f=t%20%3D%20%20847.7%20%5C%20%20s)
Now converting to minutes
![t = \frac{847.7}{60}](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B847.7%7D%7B60%7D)
=>
Answer:
wrong answer because m=100
Answer:
![f^{-1}(-4) = \frac{1}{10}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28-4%29%20%3D%20%5Cfrac%7B1%7D%7B10%7D)
Explanation:
Firstly finding ![f^{-1}(x)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29)
So,
![f(x) = 10x-5](https://tex.z-dn.net/?f=f%28x%29%20%3D%2010x-5)
Substitute ![y = f(x)](https://tex.z-dn.net/?f=y%20%3D%20f%28x%29)
![y = 10x-5](https://tex.z-dn.net/?f=y%20%3D%2010x-5)
Exchange the values of x and y
![x = 10y-5](https://tex.z-dn.net/?f=x%20%3D%2010y-5)
Solving for y
![x = 10y-5](https://tex.z-dn.net/?f=x%20%3D%2010y-5)
Adding 5 to both sides
![10y = x+5](https://tex.z-dn.net/?f=10y%20%3D%20x%2B5)
Dividing both sides by 10
![y = \frac{x+5}{10}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%2B5%7D%7B10%7D)
Replace ![y = f^{-1}(x)](https://tex.z-dn.net/?f=y%20%3D%20f%5E%7B-1%7D%28x%29)
![f^{-1}(x) = \frac{x+5}{10}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Cfrac%7Bx%2B5%7D%7B10%7D)
For x = -4
![f^{-1}(-4) = \frac{-4+5}{10}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28-4%29%20%3D%20%5Cfrac%7B-4%2B5%7D%7B10%7D)
![f^{-1}(-4) = \frac{1}{10}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28-4%29%20%3D%20%5Cfrac%7B1%7D%7B10%7D)