Answer:
x = 0
Step-by-step explanation:
x = 0 ( y axis)
<span>-5/12*8/13 to the lowest terms which equal -10/39.</span>
Answer: 5.7
Step-by-step explanation:
Multiply the diameter by pi 3.14
Answer:
Step-by-step explanation:
We are using proportions.
Width(model) / Width(actual)
=18.5 / 370
=1 / 20
The actual building is 20 times larger than the model.
Now multiply the height of the model by 20 to get the answer.
36.5 * 20= 730ft
The answer is 730 feet
Answer: ![7.949\ \text{days}](https://tex.z-dn.net/?f=7.949%5C%20%5Ctext%7Bdays%7D)
Step-by-step explanation:
Given
The half-life of a sample is ![T_{\frac{1}{2}}=3.823\ \text{days}](https://tex.z-dn.net/?f=T_%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D3.823%5C%20%5Ctext%7Bdays%7D)
Decay is given by
![A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}](https://tex.z-dn.net/?f=A%3DA_o2%5E%7B%5Cdfrac%7B-t%7D%7BT_%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7D)
After 3 half-lives, one-eight of the sample is left
Insert the values
![\Rightarrow \dfrac{A_o}{8}=A_oe^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow e^{\dfrac{t}{T_{\frac{1}{2}}}}=8\\\\\text{Taking log both sides}\\\Rightarrow \dfrac{t}{T_{\frac{1}{2}}}=\ln 8\\\\\Rightarrow t=3.823\times \ln 8\\\\\Rightarrow t=7.944\ \text{days}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7BA_o%7D%7B8%7D%3DA_oe%5E%7B%5Cdfrac%7B-t%7D%7BT_%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7D%5C%5C%5C%5C%5CRightarrow%20e%5E%7B%5Cdfrac%7Bt%7D%7BT_%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7D%3D8%5C%5C%5C%5C%5Ctext%7BTaking%20log%20both%20sides%7D%5C%5C%5CRightarrow%20%5Cdfrac%7Bt%7D%7BT_%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%3D%5Cln%208%5C%5C%5C%5C%5CRightarrow%20t%3D3.823%5Ctimes%20%5Cln%208%5C%5C%5C%5C%5CRightarrow%20t%3D7.944%5C%20%5Ctext%7Bdays%7D)