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
Answer:
Francine has just set up her Christmas tree. 40% of her ornaments are red. If she has 30 ornaments, then how many are red?
Step-by-step explanation:
Answer:
the greatest common factor is 50
Step-by-step explanation:
200 = 2 × 2 × 2 × 5 × 5 Find the prime factorization of 1650
1650 = 2 × 3 × 5 × 5 × 11 To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 5 × 5GCF = 50
3 is B
4 is D
I can figure out 5, Im kinda bad at plotting.
