Answer: 
Step-by-step explanation:
This is a <em>homogeneous linear third-order differential equation</em>
z′′′+2z′′−4z′−8z=0 so the
FIRST STEP is to find the characteristic equation and its roots
<em>
</em>
Using the method of finding roots of a polynomial (using m = 2) would provide the solution below
(m-2)(m+2)(m+2)=0; m = 2 and m = -2 (repeated twice)
SECOND STEP is to write the general solution with the arbitrary constants.
The general solution based on the roots and the using x as the independent variable would provide

<em>*It should be noted that when the characteristic equation has a repeated root, the general equation form becomes similar to the last part of the answer*</em>
Answer:
A debt greater than 20$ and less than 30$ is 25$
Step-by-step explanation:
A brainliest would be nice please :D
Answer: Hotdog cost $0.75
Price of soda = $0.55
Step-by-step explanation:
Let the price of hot dogs be x.
Let the price of sodas be y.
6x + 4y = 6.70 ...... i
4x + 3y = 4.65 ....... ii
Multiply equation i by 4
Multiply equation ii by 6
24x + 16y = 26.80 ........ iii
24x + 18y = 27.90 ......... iv
Subtract iii from iv
2y = 1.10
y = 1.10/2
y = $0.55
Price of soda = $0.55
From equation i,
6x + 4y = 6.70
6x + 4(0.55) = 6.70
6x + 2.20 = 6.70
6x = 6.70 - 2.20
6x = 4.50
x = 4.50/6
x = $0.75
Hotdog cost $0.75
Answer:
22.9166%
Step-by-step explanation:
That is the answer, take note that the six is infinite.
Answer:
The third one is the answer
Building B; it is around 16.35 feet taller than building A
Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?
cos y° = 6 divided by b cos y° = 6a cos
If sin f° = 8/9 and the measure of YW is 24 units, what is the measure of YX?
24 units