Answer:
$462.50
Step-by-step explanation:
:))
Five fifths are in one whole.
Don't believe me?
So you just do 1÷5
which is 5!
~JZ
Hope it helps you :)!
Answer:
and
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the equilibrium solutions
We have:
To solve this, we first equate and to 0.
So, we have:
Factor out R in
Split
or
or
Factor out W in
Split
or
Solve for R
Make R the subject
When , we have:
Collect like terms
Solve for W
When , we have:
Collect like terms
Solve for R
So, we have:
When , we have:
So, we have:
Hence, the points of equilibrium are:
and
Answer:
1 solution, 0
Step-by-step explanation:
In algebra, a variable can be equal to any amount of numbers depending on how it is used. In this case, m is only equal to the one value of 8, and therefore only has <u>one solution.</u>
m - 8
(8) - 8
0
<span>The maxima of a differential equation can be obtained by
getting the 1st derivate dx/dy and equating it to 0.</span>
<span>Given the equation h = - 2 t^2 + 12 t , taking the 1st derivative
result in:</span>
dh = - 4 t dt + 12 dt
<span>dh / dt = 0 = - 4 t + 12 calculating
for t:</span>
t = -12 / - 4
t = 3
s
Therefore the maximum height obtained is calculated by
plugging in the value of t in the given equation.
h = -2 (3)^2 + 12 (3)
h =
18 m
This problem can also be solved graphically by plotting t
(x-axis) against h (y-axis). Then assigning values to t and calculate for h and
plot it in the graph to see the point in which the peak is obtained. Therefore
the answer to this is:
<span>The ball reaches a maximum height of 18
meters. The maximum of h(t) can be found both graphically or algebraically, and
lies at (3,18). The x-coordinate, 3, is the time in seconds it takes the ball
to reach maximum height, and the y-coordinate, 18, is the max height in meters.</span>