Answer:
x^3 -9x^2 +14x +24
Step-by-step explanation:
(x-4)(x^2 - 5x - 6)
Multiply the x by everything in the second term
x * (x^2 - 5x - 6)
x^3 -5x^2 -6x
Multiply the -4 by everything in the second term
-4 * (x^2 - 5x - 6)
-4x^2 +20x +24
Add everything together
I like to line them up vertically
x^3 -5x^2 -6x
-4x^2 +20x +24
-------------------------------
x^3 -9x^2 +14x +24
I think the interest is 10.60.
And the proceeds are 278.40.
Answer:
Independent Variable: Jazz music
Dependent Variable: Sleeping Time
Experimental Group: people sleeping with jazz music
Control Group: people sleeping without jazz music
3 constants:
No of people in group
Jazz music
Sleep
Step-by-step explanation:
The independent variable is the one which is not altered by any outer influence. For example the jazz music will not be interrupted by the sleeping habits of people.
The dependent variable is the one which is affected by external changes such as sleeping time is afffected by external music or noises.
Experimental group on which experiment is being carried out.
Control group is which determines the changes in experimental group.
Constants which do not change for the number of experiment, could be number of people, type of jazz music, volume of jazz music also sleep is a constant .
Answer:
18pi, or 56.52
Step-by-step explanation:
To start off, if you were to find the area of any whole circle, you would use the formula: pi x radius^2 = area of circle
However, since this is a semi-circle (half of a whole circle) you would divide the whole expression by 2, and then solve:
(pi x radius^2)/2 = area of semi-circle
(pi x 6^2)/2 = area of semi-circle
(36 x pi)/2 = area of semi-circle
18 x pi = area of semi-circle
18 x 3.14 = area of semi-circle
56.52 = area of semi-circle
