Answer:

Step-by-step explanation:
Given

Required
Determine a homogeneous linear differential equation
Rewrite the expression as:

Where
and 
For a homogeneous linear differential equation, the repeated value m is given as:

Substitute values for
and 


Add 1 to both sides


Square both sides



In complex numbers:

So, the expression becomes:

Add 1 to both sides


This corresponds to the homogeneous linear differential equation

Answer:
5+6-8
Step-by-step explanation:
Answer: The expected value of this game is 2/3
Step-by-step explanation:
Give that
If it's black, you lose a point. If it's red, you gain a point.
And then you can stop at any time. But you should never stop when you are losing because that can guarantee 0 by drawing all the cards.
Assuming you should stop after three cards when you are +2.
The only question is whether to draw if you are +1 on the first draw.
If you draw red first, You have 1/3 chance of drawing red again and this will give you +2 points
1/3 chance of drawing two blacks and earn zero point, chance of drawing black-red and earn +1. This gives +1, so it doesn't matter whether you draw or not.
From the beginning, If you draw red (probability 1/2 you end +1. If you draw black and then draw two reds (probability 1/6 you end +1) Otherwise you break even with probability 1/3. Overall, the value is 2/3
Answer:
the correct answer is C. 45
Step-by-step explanation:
so 1/5 means there are 5 peice to make a whole...
so if you cut an apple into 5 parts, each slice of that apple is 1/5
so if you cut 9 apples into 5 slices its just multiplication...
5*9=45
**for my visual learners** in the parenthesis are groups of 5 sticks
( ///// ) **those are your apple slices** **now just do that exactly 9 times**
( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// )
5 10 15 20 25 30 35 40 45
i really hope this helps <3
The answer is 127.16 pi m³, hope this helps.