If the radio active isotope has the half life of 24100 years, then the initial quantity is 2.16 grams
The half life in years = 24100
Consider the quantity of the radio active isotope remaining
y = 
When t = 1000 the y = 1.2
y = C/2 when t = 1599
Substitute the values in the equation
C/2 = 
Cancel the C in both side
1/2 = 
Here we have to apply ln to eliminate the e terms
ln (1/2) = 24100k
k = ln(1/2) / 24100
k = -2.87× 10^-5
To find the initial value we have to substitute the value of k and y in the equation
1.2 = Ce^{1000 × -2.87× 10^-5}
C = 1.2 / e^(-0.0287)
C = 2.16 gram
Hence, the initial quantity of the radioactive isotope is 2.16 gram
Learn more about half life here
brainly.com/question/4318844
#SPJ4
Answer:
domain is [-3,3] & range is [-3,3]
Step-by-step explanation:
When given a graph of a circle and ask to solve range and domain....
First: <u>find the four points</u> of the circle:
(-3,0);(3,0);(0,-3);(0,3) . <em> **Best to plot these points on this graph to understand where the points are and what we are looking at.</em>
Second: Look for <u>range(vertical directions/left and right) and domain(horizontal direction/up and down)</u>.
domain: x-values, first coordinate (-3,0) & (3,0)
range: y-values, second coordinate (0,-3);(0,3)
Third: take what you know and solve domain and range*include bracket to show domain and range
domain is [-3,3] & range is [-3,3]
Answer:
60 degrees
Step-by-step explanation:
Angles 1 and 2 are "corresponding angles" and as such are equal. Thus, the measure of angle 2 is 60 degrees.
The Answer is C) 6 I believe
Answer:
Step-by-step explanation:
When a quantity "A" varies DIRECTLY with another quantity "B", we can write the proportionality equation as:
A = kB
Where k is the proportionality constant (to be found)
In this problem, it is given x varies DIRECTLY with y, so we can write:
x = ky
Also, given, x = 11, y = -3, so we plug these into the equation and first find k:
x = ky
11 = k(-3)
k = -11/3
Now, we need to find x when y = 8, so we substitute and find x:
