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.
12.6$Answer:
Step-by-step explanation:
1$ - 20$ = 19$ / 3 = 6.3$
6.3$ x 2 = 12.6$
Answer: True
In math terms, an "image" is the result after a transformation has been applied. One or more transformations can happen here. The original figure is called the "preimage" or "before image" so to speak.
So we go from "preimage" to "image"
preimage ---> image
A maps to A'
B maps to B'
C maps to C'
D maps to D'
0.84 is the answer u have to divide to get it I hope this helps
