That’s is 8cm if u want a
Step-by-step explanation
The half life formula is :
![N(t)=N_o(\frac{1}{2})^{\frac{t}{T}}](https://tex.z-dn.net/?f=N%28t%29%3DN_o%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B%5Cfrac%7Bt%7D%7BT%7D%7D)
where N(t) = remaining quantity after t years
No = Original Quantity
t = time in years
T = half life in years
From the problem, we have :
N(t) = 30 grams
No = 100 grams
T = 674
Solve for t :
![\begin{gathered} 30=100(\frac{1}{2})^{\frac{t}{674}} \\ \frac{30}{100}=(\frac{1}{2})^{\frac{t}{674}} \\ \frac{3}{10}=(\frac{1}{2})^{\frac{t}{674}} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2030%3D100%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B%5Cfrac%7Bt%7D%7B674%7D%7D%20%5C%5C%20%5Cfrac%7B30%7D%7B100%7D%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B%5Cfrac%7Bt%7D%7B674%7D%7D%20%5C%5C%20%5Cfrac%7B3%7D%7B10%7D%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B%5Cfrac%7Bt%7D%7B674%7D%7D%20%5Cend%7Bgathered%7D)
Take ln of both sides :
![\begin{gathered} \ln (\frac{3}{10})=\ln (\frac{1}{2})^{\frac{t}{674}} \\ \ln (\frac{3}{10})=\frac{t}{674}\ln (\frac{1}{2}) \\ t=\frac{674\ln (\frac{3}{10})}{\ln (\frac{1}{2})} \\ t=1170.71 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cln%20%28%5Cfrac%7B3%7D%7B10%7D%29%3D%5Cln%20%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B%5Cfrac%7Bt%7D%7B674%7D%7D%20%5C%5C%20%5Cln%20%28%5Cfrac%7B3%7D%7B10%7D%29%3D%5Cfrac%7Bt%7D%7B674%7D%5Cln%20%28%5Cfrac%7B1%7D%7B2%7D%29%20%5C%5C%20t%3D%5Cfrac%7B674%5Cln%20%28%5Cfrac%7B3%7D%7B10%7D%29%7D%7B%5Cln%20%28%5Cfrac%7B1%7D%7B2%7D%29%7D%20%5C%5C%20t%3D1170.71%20%5Cend%7Bgathered%7D)
The answer is t = 1170.71 years
Answer:
6 inches
Step-by-step explanation:
3392.92 cubic inches of liquid distributed in 30 spheres would give each sphere's volume to be:
![\frac{3392.92}{30}=113.1](https://tex.z-dn.net/?f=%5Cfrac%7B3392.92%7D%7B30%7D%3D113.1)
Now we equate 113.1 to the formula for volume of a sphere and solve for r:
![\frac{4}{3}\pi r^3=113.1\\r^3=\frac{113.1}{\frac{4\pi}{3}}\\r^3=27\\r=\sqrt[3]{27} =3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%3D113.1%5C%5Cr%5E3%3D%5Cfrac%7B113.1%7D%7B%5Cfrac%7B4%5Cpi%7D%7B3%7D%7D%5C%5Cr%5E3%3D27%5C%5Cr%3D%5Csqrt%5B3%5D%7B27%7D%20%3D3)
The radius of each of those spheres is 3
We know diameter is twice the radius , so diameter would be 3 * 2 = 6 inches
The greatest y-value shown has to be 3....?
Answer:
negative correlation on Edg
Step-by-step explanation: