Answer:
Initial amount is 523 grams
Amount after 100 years is 52 grams
Step-by-step explanation:
General exponential function for radioactive substances is given by
A(t) = Ao(1/2)^t/t1/2
Where,
A(t) is the amount remaining after t years
Ao is the initial amount of the radioactive substance
t is the number of years required for the radioactive substance to decay to A
t1/2 is the half-life of the radioactive substance
Comparing A(t) = 523(1/2)^t/30 with the general exponential function
Initial amount (Ao) = 523 grams
A(t) = 523(1/2)^t/30
t = 100
A(100) = 523(1/2)^100/30 = 523×0.5^3.333 = 523×0.0992 = 51.8816 = 52 grams (to the nearest gram)
To solve this you first expand the brackets.
4x^2 - 20x + 25 = 49
Then make it equal 0.
4x^2 - 20x - 24 = 0
Now solve the quardratic.
x^2 - 5x - 6 = 0
(x - 6)(x + 1) = 0
x = 6 or x = -1
When we distribute, we multiply the number outside of the parenthesis to every number inside the parenthesis.
So we have:
So, KL corresponds to ST,
And angle RST corresponds to angle JKL
(Brainliest?)
Answer:
D
Step-by-step explanation:
<u><em>60% of 50 equals 30</em></u>
30% of 50 equals 15
15% of 50 equals 7.5
7.5% of 50 equals 3.75
3.75% of 50 equals 1.875