Answer:
v = 18π
Step-by-step explanation:
v = πr²h
plug in the givens
v = π(3²)2
v = 18π exact answer
V = 18 * 3.14 = 56.52 decimal approximation
Answer:
Step-by-step explanation:
The expected return is given as
Expected Return = SUM (Return i x Probability i). i=1,2,3.....
First investment
Probability of 0.7, it returns 60cents per dollars
Second investment
Probably of 0.3, it loses 20cents per dollar.
Expected return=(0.7×60)-(0.3×20)
Excepted return= 42-6
Excepted return=36cents
To dollars, 1cents is 0.01dollars
Then, 36cents = 0.36dollars
Expected return=$0.36
Answer with explanation:
The given differential equation is
y" -y'+y=2 sin 3x------(1)
Let, y'=z
y"=z'

Substituting the value of , y, y' and y" in equation (1)
z'-z+zx=2 sin 3 x
z'+z(x-1)=2 sin 3 x-----------(1)
This is a type of linear differential equation.
Integrating factor

Multiplying both sides of equation (1) by integrating factor and integrating we get


Time taken by Jami to mow 1/6 acres is 8 minutes=8/60=2/15 hours.
Rate at which Jami is mowing will be:
rate=(number of acres)/(time)=(1/6)/(2/15)
=1/6÷2/15
=1/6×15/2
=5/4 acres/hour
=1.25 acres/hour
From above calculations we conclude that Jami cannot mow 1.5 acres in 1 hour