Answer:
x(t) = 5000*( 1 - e^-kt)
Step-by-step explanation:
Given:
- Total number of students n = 5000
Find:
Differential equation governing the number of students x(t) who have contracted the flu.
Solution:
- Number of non-affected students = (5000 - x)
Hence,
- Rate at which students are infected:
dx / dt = k*(5000 - x )
- separate variables:
dx / (5000 - x ) = k*dt
- Integrate both sides:
- Ln(5000 - x) = kt + C
- Evaluate C for x = 0 @ t = 0
- Ln(5000 - 0) = k*0 + C
C = - Ln(5000)
- The solution to ODE is:
Ln(5000 - x) = -k*t + Ln(5000)
5000 - x = 5000*e^-kt
x(t) = 5000*( 1 - e^-kt)
The base angles of an isosceles trapezoid are equal. Therefore:
20x + 9 = 14x + 15
6x = 6
x = 1
So, the base angles both equal 29 degrees.
In a trapezoid, the sum of the angles attached to the same leg always = 180 degrees.
Therefore, angle K and angle L equal 151 degrees.
Answer:
Let 3x be the number of boys
Let 2x be the number of girls
3x + 2x = 24
5x = 24
x = 4.8
3(4.8) = 14.4 boys
2(4.8) = 9.6 girls
There can't be 24 students for a ratio of 3 boys and 2 girls, because there can't be 14.4 boys and 9.6 girls, it has to be an exact number, otherwise it wouldn't make any sense.
For example, you and I are both 1 person, we can't be half a person or 0.6 of a person, only 1.
Answer:
yes
Step-by-step explanation:
i will trun on the light and see what color the socks are
please write complete question
Answer:
maxiam
Step-by-step explanation:
