Find the measure of O?
Line UV is a supplementary line. Line UV is 180 degrees. Angle TU is 30 degrees. Angle WV is 65 degrees. Angle TW (O) is unknown. Add the given angles. 30+65=95 degrees. Subtract the sum of the two angles from 180 degrees. 180-95=85. O is 85 degrees
Answer:
The correct answer is Never
Answer: He still has to mow 45 lawns, or 75% of the lawns before he is finished.
Answer:
![t=5.0days](https://tex.z-dn.net/?f=t%3D5.0days)
Step-by-step explanation:
Using the formula for the exponential decay that is
, we have N=
,
and k=0.1374.
Thus,
becomes
![23=46{\times}e^{-0.1374t}](https://tex.z-dn.net/?f=23%3D46%7B%5Ctimes%7De%5E%7B-0.1374t%7D)
![\frac{23}{46}=e^{-0.1374t}](https://tex.z-dn.net/?f=%5Cfrac%7B23%7D%7B46%7D%3De%5E%7B-0.1374t%7D)
![\frac{1}{2}=e^{-0.1374t}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%3De%5E%7B-0.1374t%7D)
Taking log on both sides, we get
![ln(\frac{1}{2})={-0.1374t}](https://tex.z-dn.net/?f=ln%28%5Cfrac%7B1%7D%7B2%7D%29%3D%7B-0.1374t%7D)
![t=\frac{ln\frac{1}{2}}{-0.1}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bln%5Cfrac%7B1%7D%7B2%7D%7D%7B-0.1%7D)
![t=\frac{-0.6931}{-0.1374}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-0.6931%7D%7B-0.1374%7D)
![t=5.0days](https://tex.z-dn.net/?f=t%3D5.0days)