Solve for the indicated variable.
1 answer:
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To find the slope of a line that goes through given points with known coordinates, you divide the subtraction of the y of the second point minus the y of the first point, by the subtraction of the x of the second point minus the x of the first point:
m = (yB-yA) / (xB-xA)
Let A(8,5) and B(6,7).
With yB = 7; yA = 5; xB = 6; xA = 8
m = (7-5) / (6-8)
m = 2/-2
m = -1
So the slope of the line that goes through the given points (8,5) and (6,7) is m = -1.
I've added a pic of the line with both points under the answer.
Hope this Helps! :)
m = (yB-yA) / (xB-xA)
Let A(8,5) and B(6,7).
With yB = 7; yA = 5; xB = 6; xA = 8
m = (7-5) / (6-8)
m = 2/-2
m = -1
So the slope of the line that goes through the given points (8,5) and (6,7) is m = -1.
I've added a pic of the line with both points under the answer.
Hope this Helps! :)
Answer:
- <u>24 seconds</u>
Explanation:
1. Quantiy R
Decay model:
That is a first order reaction, whose solution is:
The value at t = 0, R(0) = 100 is R₀.
Thus, the law is:
2. Quantity S
Decay model:
That is a zero order kinetic, whose solution is:
The value at t = 0, S(0) = 125 is S₀
Thus, the law is:
<u>3. At what time will there ve equal quantities of both substances?</u>
You must solve the system doing R(t) = S(t)
That equation must be solved by graphing or by consecutive iterations
Note that when t = 0 R(t) = 100 and S(t) = 125. From, that the quantities decreases.
Subsitute with t = 10.
- The left-hand side yields: 61 and the right-hand side yields 85.
Then, the time is greater than 10.
Substitute with t = 15
- Left-hand side = 47
- Right-hand side = 65
t = 20
- Left-hand side = 37
- 45
t = 25
- Left-hand side = 29
- Right-hand side =25
t = 24
- Left-hand side =3 0
- Right hand side = 29
Hence, 24 seconds is a satisfactory solution.
The graph attached shows that the intersection point is at t ≈ 23.548 seconds, confirming that 24 seconds is the best solution rounded to an integer number.
