Answer:
see below
Step-by-step explanation:
The equation for half life is
n = no e ^ (-kt)
Where no is the initial amount of a substance , k is the constant of decay and t is the time
no = 9.8
1/2 of that amount is 4.9 so n = 4.9 and t = 100 years
4.9 = 9.8 e^ (-k 100)
Divide each side by 9.8
1/2 = e ^ -100k
Take the natural log of each side
ln(1/2) = ln(e^(-100k))
ln(1/2) = -100k
Divide each side by -100
-ln(.5)/100 = k
Our equation in years is
n = 9.8 e ^ (ln.5)/100 t)
Approximating ln(.5)/100 =-.006931472
n = 9.8 e^(-.006931472 t) when t is in years
Now changing to days
100 years = 100*365 days/year
36500 days
Substituting this in for t
4.9 = 9.8 e^ (-k 36500)
Take the natural log of each side
ln(1/2) = ln(e^(-36500k))
ln(1/2) = -36500k
Divide each side by -100
-ln(.5)/36500 = k
Our equation in years is
n = 9.8 e ^ (ln.5)/36500 d)
Approximating ln(.5)/365=-.00001899
n = 9.8 e^(-.00001899 d) when d is in days
<h3>
Answer: 45 degrees</h3>
The purple arc is 315 degrees. The remaining bit (angle b) must add to 315 to get 360 degrees, which is a full rotation.
315+b = 360
b = 360-315
b = 45
Answer:
255.7 cm²
Step-by-step explanation:
A = 10²(3.14) = 314
(293/360)(314) = 255.7 cm²
All you need to do here is just find the ratio of red marbles to all of the marbles.
<u> 2 red </u>
2 red + 3 blue + 5 yellow + 2 green
when you add everything up, you get 2/12, which is equal to 1/6.
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