According to the Scientific Method (the scientific process you use to go about figuring out the answer to a question) is:
1. Ask a Question
2. Do Background Research
3. Construct a Hypothesis
4. Test Your Hypothesis by Doing an Experiment
5. Analyze Your Data and Draw a Conclusion
6. Communicate Your Results
I hope this isn't too late! You can find the answer to this by first finding the area of the circle, A=πr². So since the radius is 10, we input that into the equation to get π100. Now, there is 360° in a circle and a sector of 90° is 1/4 of it. So to answer the question all you have to do is find 1/4 of the area of the circle.
The answer is π25.
To solve the other questions on your assignment just think about how much the sector is of the full 360° of the circle, for example 180° is 1/2 of the circle or 270° is 3/4 of the circle, and multiply the fraction by the area of the circle.
Hope this helped, good luck! :)
The answer is c: y = 10.29(0.7)^x.
Answer: 
.
Step-by-step explanation:
The given function is
Using chain rule differentiate w.r.t. x.
![\left[\because \dfrac{d}{dx}\sin x=\cos x\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7Bd%7D%7Bdx%7D%5Csin%20x%3D%5Ccos%20x%5Cright%5D)
![f'(x)=\cos(9\ln (x))\left[9\dfrac{d}{dx}(\ln (x))\right]](https://tex.z-dn.net/?f=f%27%28x%29%3D%5Ccos%289%5Cln%20%28x%29%29%5Cleft%5B9%5Cdfrac%7Bd%7D%7Bdx%7D%28%5Cln%20%28x%29%29%5Cright%5D)
![f'(x)=\cos(9\ln (x))\left[9\times \dfrac{1}{x}\right]](https://tex.z-dn.net/?f=f%27%28x%29%3D%5Ccos%289%5Cln%20%28x%29%29%5Cleft%5B9%5Ctimes%20%5Cdfrac%7B1%7D%7Bx%7D%5Cright%5D)
![\left[\because \dfrac{d}{dx}\ln x=\dfrac{1}{x}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7Bd%7D%7Bdx%7D%5Cln%20x%3D%5Cdfrac%7B1%7D%7Bx%7D%5Cright%5D)
Therefore, .
