Answer:
the time taken for the radioactive element to decay to 1 g is 304.8 s.
Step-by-step explanation:
Given;
half-life of the given Dubnium = 34 s
initial mass of the given Dubnium, m₀ = 500 grams
final mass of the element, mf = 1 g
The time taken for the radioactive element to decay to its final mass is calculated as follows;
![1 = 500 (0.5)^{\frac{t}{34}} \\\\\frac{1}{500} = (0.5)^{\frac{t}{34}}\\\\log(\frac{1}{500}) = log [(0.5)^{\frac{t}{34}}]\\\\log(\frac{1}{500}) = \frac{t}{34} log(0.5)\\\\-2.699 = \frac{t}{34} (-0.301)\\\\t = \frac{2.699 \times 34}{0.301} \\\\t = 304.8 \ s](https://tex.z-dn.net/?f=1%20%3D%20500%20%280.5%29%5E%7B%5Cfrac%7Bt%7D%7B34%7D%7D%20%5C%5C%5C%5C%5Cfrac%7B1%7D%7B500%7D%20%3D%20%20%280.5%29%5E%7B%5Cfrac%7Bt%7D%7B34%7D%7D%5C%5C%5C%5Clog%28%5Cfrac%7B1%7D%7B500%7D%29%20%3D%20log%20%5B%280.5%29%5E%7B%5Cfrac%7Bt%7D%7B34%7D%7D%5D%5C%5C%5C%5Clog%28%5Cfrac%7B1%7D%7B500%7D%29%20%20%3D%20%5Cfrac%7Bt%7D%7B34%7D%20log%280.5%29%5C%5C%5C%5C-2.699%20%3D%20%5Cfrac%7Bt%7D%7B34%7D%20%28-0.301%29%5C%5C%5C%5Ct%20%3D%20%5Cfrac%7B2.699%20%5Ctimes%2034%7D%7B0.301%7D%20%5C%5C%5C%5Ct%20%3D%20304.8%20%5C%20s)
Therefore, the time taken for the radioactive element to decay to 1 g is 304.8 s.
Answer:
Step-by-step explanation:
a3 = 2
d = -5
=============
a4 = a3 - 5
a4 = 2 - 5
a4 = - 3
===============
a5 = a4 - 5
a5 = -3 - 5
a5 = - 8
Just take a4 as your answer.
it means that u have to ratios that are equivalent in weight meaning 3:3 = 1 and so is 6:6=1
Answers:
x=22
x+4=26
6x=132
Explanation:
We learned from the question that all of the angles in a triangle add up to 180 degrees.
180=angle+angle+angle
When we plug in the values that the question gives us for the angles, we get this equation:
180=x+6x+(x+4)
After solving this equation, we get 22 as the value of x (The process of solving that equation is in the picture attached).
To solve for (x+4), we plug in the value of x, which is 22 and add 4.
(x+4)
=(22+4)
=26
And finally, to solve for 6x, we plug in 22 again:
6x
=6*22
=132
Hope this helps!
Repeated fractions are written with 9's in the denominator.
0.136 = 136/1000
0.136 repeated = 136/999
