E=0.5mv^2
That's the formula for kenetic energy. The only unknown we don't have is the velocity. In perticular the final velocity. To find this final velocity we need to use kinematic equations. Since we have the time and I'm also assuming that the initial velocity was zero we're going to use Vf=Vi+at. The acceleration is 9.8m/s^2 because its free fall and we have the time 22s. Vf= 9.8*22=215.6m/s
Now that we have the final velocity plug it in to the kenetic energy formula.
=0.5*3*215.6^2= 69725.04J
<u>Using y = mx + b</u>
8y = 4x - 16 ⇒ y = 
- 2
-x = -2y - 4 ⇒ 2y - x = - 4 ⇒ 2y = x - 4 ⇒ y = - 2
Since the equations have the same slope () and y-intercepts (-2), then they are the same line. Thus, they intersect at every point so have infinite solutions.
Answer: A
They are asking for the outcome of A and B, which means you need to include the results of both together.
The result would be {4,5,6,7,10,11,12}
Since there are no common numbers in either A or B, they would be mutually exclusive.
The answer would be the last one.
The population of fish in a certain lake follows the logistic growth function
where t is the time in years. According to the growth model, what will the populations be after 20 years?
We are given with growth model f(x). In that , t represents the time in years.
To find out the population after 20 years, we plug in 20 for t and find out f(20)
=8914.65
The population after 20 years = 8914.65
It’s 6x6=36, because if 4 over 2 was 4 twice then 6 over 2 is 6 twice.
