in log minus means divide
log 6 - log 3 = log (6÷3)
log 6 - log 3 = log 2
Answer: Ann's distance from home staying is increasing the fastest from the 5th to the 6th minute
Step-by-step explanation: The slope from the 5th minute to the 6th minute is 40, meaning that she increased 40 mph in one minute. This increase is greater than any other time periods. At first, you might think that minute 0 to 1 is the greatest but the slope from minute 0 to 1 is actually 30 mph, so therefore my answer can be proven correct.
Answer:
<
Step-by-step explanation:
the inverse of -18 is +18. +18 is less than 19
Answer:
The longest length which you are given.
Step-by-step explanation:
The hypotenuse is the longest side in a right angled triangle. The largest side in a right angled triangle is known as the hypotenuse.
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)