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:
3x - 10
Step-by-step explanation:
first set up the like variables next to each other
-4x + 7x - 7 - 3
Then, combine like variables
-4x + 7x = 3x
-7 - 3 = -10
The answer is:
3x - 10
A.
If you roll up the quarter circle and cap the open end with the smaller circle, the resulting shape should be a cone.
Answer:
89,709
Step-by-step explanation:
∡Z= 54°
tan 54 = XY / 361
XY = 361 · tan 54°
XY = 497
A = 1/2 (361) (497)
