Step-by-step explanation:
dP/dt = -0.4P
Separate the variables and integrate.
dP/P = -0.4 dt
ln|P| = -0.4t + C
P = Ce^(-0.4t)
Use initial condition to find C.
2 = C^(0)
C = 2
P = 2e^(-0.4t)
dQ/dt = -1
Integrate.
Q = -t + C
Use initial condition to find C.
3 = 0 + C
C = 3
Q = -t + 3
Set the two equal.
2e(-0.4t) = -t + 3
Use a calculator to find t.
t = 2.156
The populations have the same size after 2.156 hours.
Answer:
x = 256
Step-by-step explanation:
-5/8x = -160
Multiply each side by -8/5 to isolate x
-8/5*-5/8x = -160*-8/5
x = 256
F x L = 3x10^10
L = 1x10^-11
F= 3x10^10 / 1x10^-11 = 3x10^21 unit
Answer:
8 seconds
Step-by-step explanation:
2 1/2 ÷ 2 1/2=1
1*1=1
1*8=8
