Answer:

Step-by-step explanation:
If the system contains
atoms, we can arrange
quanta of energy in
ways.

In this case,
.
Therefore,

which means that we can arrange 1 quanta of energy in 2 ways.

In this case,
.
Therefore,

which means that we can arrange 10 quanta of energy in 184 756 ways.

In this case,
.
Therefore, we obtain that the number of ways is

Answer:
Option 4: y > 2x
x + 2y < -8
Step-by-step explanation:
Taking first equation:
y > 2x
Putting x = 0
y > 0
Putting y = 0
0 > x
So the blue line in drawn according to first equation.
Taking second equation:
x + 2y < -8
Putting x = 0
2y < -8
y < - 4
putting y = 0
x < -8
So the red line is drawn accordingly.
i hope it will help you!
Step-by-step explanation:
as we have a point and the slope, we can start with the point-slope form and then transform.
the point-slope form is
y - y1 = a(x - x1)
(x1, y1) being a point on the line, a being the slope.
the slope-interceot form is
y = ax + b
a being the slope again, b being the y-intercept (the y value for x = 0).
so, we have
y - -5 = 5/2 × (x - -4)
y + 5 = 5/2 × (x + 4) = 5x/2 + 5×4/2 = 5x/2 + 10
y = 5x/2 + 5
or
y = (5/2)x + 5
and this is already the slope-intercept form. all done.
the slope is -2
have a nice day :D
Answer:
D, 20:30
Step-by-step explanation:
At first glance, this does not seem like the correct ratio. But I'll spare you a long intro and get into it:
20:30: Divide both of them by 10
=2:3
2 x 12:3 x 12
24:36
Hope this helps!