Let X and Y be random variables representing the side lengths of the rectangle. Then the area of the rectangle is given by the random variable XY.
We have
or approximately 0.1534.
Your answer would be 20 minutes.
12/3=4 grapefruits. 4*5=20
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)
Answer:
(a) Slope of Line 1 = 3
Slope of Line 2 = 3
Slope of Line 3 = -1/3
(b)
Line 1 and Line 2 = Parallel
Line 1 and Line 3 = Perpendicular
Line 2 and Line 3 = Perpendicular
Step-by-step explanation:
Please mark as brainliest! Thanks! Hope this helps!
Answer:
1/2, 5/2
Step-by-step explanation:
Rearrange the system of equations.
-3x + y = -1
x + y = 3
Multiply the bottom equation by 3
3x + 3y = 9
Now add the two equations
4y = 10
y = 5/2
Now plug y back in to solve for x in one equation
x + y = 3
x + 5/2 = 3
x = 1/2
Answer in coordinates: 1/2, 5/2
