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
The simplest form of the given expression is 5x^3-5x^2.
We have given that

We have to determine the simplest form of the given expression.
<h3>
What is the distributive property?</h3>
The distributive property of binary operations generalizes the distributive law, which asserts that equality is always true in algebra. elementary.
Use the distributive property we get,

Add like terms we get,
Therefore we get,

Therefore the simplest form of the given expression is 5x^3-5x^2.
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Answer:
x= 70 y= 70
Step-by-step explanation:
Answer:
E = {0, 1, 2, 3)
Step-by-step explanation:
- <u>Integer</u>: a number with no decimal or fractional part, from the set of negative and positive numbers, including zero
- < means less than
- > means more than
E = {0, 1, 2, 3)