Image of A (2-8, 6+4) =(-6,10)
image of B (-1-8, 5+4)=(-9,9)
Answer:
t = 6162 years
Step-by-step explanation:
Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.
The equation to use is that for carbon decay:
![N(t)=N_0\,e^{-0.0001\,\,t}](https://tex.z-dn.net/?f=N%28t%29%3DN_0%5C%2Ce%5E%7B-0.0001%5C%2C%5C%2Ct%7D)
If the skull contains 54% of its original amount of C14, then that means that :
![N(t)=0.54 \,\,N_0](https://tex.z-dn.net/?f=N%28t%29%3D0.54%20%5C%2C%5C%2CN_0)
we use this to solve for the time (t) in our equation:
![0.54\,\,N_0=N_0\,e^{-0.0001\,\,t}\\\frac{0.54\,\,N_0}{N_0}=e^{-0.0001\,\,t}\\0.54=e^{-0.0001\,\,t}\\ln(0.54)=-0.0001\,\,t\\t=\frac{ln(0.54)}{-0.0001} \\t=6161.86\,\,years](https://tex.z-dn.net/?f=0.54%5C%2C%5C%2CN_0%3DN_0%5C%2Ce%5E%7B-0.0001%5C%2C%5C%2Ct%7D%5C%5C%5Cfrac%7B0.54%5C%2C%5C%2CN_0%7D%7BN_0%7D%3De%5E%7B-0.0001%5C%2C%5C%2Ct%7D%5C%5C0.54%3De%5E%7B-0.0001%5C%2C%5C%2Ct%7D%5C%5Cln%280.54%29%3D-0.0001%5C%2C%5C%2Ct%5C%5Ct%3D%5Cfrac%7Bln%280.54%29%7D%7B-0.0001%7D%20%5C%5Ct%3D6161.86%5C%2C%5C%2Cyears)
which rounded to the nearest year as requested gives :
t = 6162 years
I'm not certain how exactly this question is supposed to be answered.
If it wants a ratio, Paul and Jennifer's speeds would be in a ratio of 3:4.
It also could be Paul types 20 words per minute slower than Jennifer.
It could be Paul types 33% slower than Jennifer.
Another answer could be Paul's typing speed is 3/4ths of Jennifer's typing speed.
Feel free to ask any further questions.
Answer:
C. 16
Explanation:
You find 4/6 of 24
4/6 x 24 = 96
Then you divide 96 by 6
96/6 = 16
You can check your work by doing 16 x 6