Answer:
Number of years 13 weeks represents = 14 year. Actually, here we can see that the number of years is a fraction 14, that means 13 weeks will represent (14)th part of a year. Hence, we can conclude that 13 weeks represent 25% of one year.
Step-by-step explanation:
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)
*Hint: The formula for finding the surface area of a rectangular prism is SA = 2 (wh + lw + lh).
Now, just plug in and solve.
SA = 2 [(10)(8) + (12)(10) + (12)(8)]
SA = 2 (80 + 120 + 96)
SA = 2 (296)
SA = 592.
The surface area of Rita's room is 592 feet squared.
Peantagonal pyramid hope this helps :)
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