Answer:
Im a soccer goalie too
Step-by-step explanation: 21/25, 0.84, 84%
So you can look at the first digit of each number: you have a 3, 2, 3. You know 2 is less than three. So 2,965,006 is the smallest number. You had two numbers where 3 was the first digit, so you look at the next number: a 5 and 2. 2 is smaller than 5, so 3,261,636 will be the next smallest.
Overall, least to greatest is:
2,965,006; 3,261,636; and finally 3,516,235 :)
110 is the answer to your question you can type it into a calculator to make sure
Step-by-step explanation:
![T=2\pi\sqrt{\frac{l}{g}}](https://tex.z-dn.net/?f=T%3D2%5Cpi%5Csqrt%7B%5Cfrac%7Bl%7D%7Bg%7D%7D%20)
![T+\Delta T=2\pi\sqrt{\frac{(l+\Delta l)}{g}} =2\pi\sqrt{\frac{l}{g}}\sqrt{1+\frac{\Delta l}{l}}=2\pi\sqrt{\frac{l}{g}}(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))=T(1+\frac{1}{2}\frac{\Delta l}{l}+0(\frac{\Delta l}{l}))](https://tex.z-dn.net/?f=T%2B%5CDelta%20T%3D2%5Cpi%5Csqrt%7B%5Cfrac%7B%28l%2B%5CDelta%20l%29%7D%7Bg%7D%7D%20%3D2%5Cpi%5Csqrt%7B%5Cfrac%7Bl%7D%7Bg%7D%7D%5Csqrt%7B1%2B%5Cfrac%7B%5CDelta%20l%7D%7Bl%7D%7D%3D2%5Cpi%5Csqrt%7B%5Cfrac%7Bl%7D%7Bg%7D%7D%281%2B%5Cfrac%7B1%7D%7B2%7D%5Cfrac%7B%5CDelta%20l%7D%7Bl%7D%2B0%28%5Cfrac%7B%5CDelta%20l%7D%7Bl%7D%29%29%3DT%281%2B%5Cfrac%7B1%7D%7B2%7D%5Cfrac%7B%5CDelta%20l%7D%7Bl%7D%2B0%28%5Cfrac%7B%5CDelta%20l%7D%7Bl%7D%29%29)
Here, the Taylor approximation for a square root was applied, and O(x) stands for all negligible terms of Taylor's sum with respect to variable x.
So, ![\Delta T=T\frac{1}{2}\frac{\Delta l}{l}](https://tex.z-dn.net/?f=%5CDelta%20T%3DT%5Cfrac%7B1%7D%7B2%7D%5Cfrac%7B%5CDelta%20l%7D%7Bl%7D)
b. For an increase of 2%, that is:
![\frac{\Delta l}{l}=0.02](https://tex.z-dn.net/?f=%5Cfrac%7B%5CDelta%20l%7D%7Bl%7D%3D0.02)
![\frac{\Delta T}{T}=\frac{1}{2}0.02=0.01=1\%](https://tex.z-dn.net/?f=%5Cfrac%7B%5CDelta%20T%7D%7BT%7D%3D%5Cfrac%7B1%7D%7B2%7D0.02%3D0.01%3D1%5C%25)