Answer:
-4r
Step-by-step explanation:
r + -5r
Factor out r
r( 1-5)
r(-4)
-4r
P(A|B)= P(B and A) / P(A)
P(B and A) = .3 + .10 = .13 P(A)= .3
So,
P(A|B)= .13/.3
P(A|B)= 0.43333...
Answer:

Step-by-step explanation:
We have given differential equation 
We know that linear differential equation is given by 
On comparing with standard equation P = -2 and Q= 
Now integrating factor 

Now solution of differential equation is given by




3.65 x 10^5 <==== scientific notation
Answer:
The distance paddling out on a lake is 2 kilometres and the distance returning back is also 2 kilometres. In total, 4 kilometres.
Step-by-step explanation:
Let t hours be the time it takes Roger to puddle out on a lake. Then
hours is the time it takes him to return (note that 1 hour and 30 minutes is exactly
hours).
1. If he paddles out on a lake at 4 kph for t minutes, then the distance is

2. If he returns at 2 kph, then the distance is

3. These distances are the same, thus

The distance paddling out on a lake is 2 kilometres and the distance returning back is also 2 kilometres. In total, 4 kilometres.