Answer:
Step-by-step explanation:
I figured this out with calculus since it's easier that way. The position function for the ball is
. The first derivative of position is velocity, so we need to find the first derivative of the position function which is
v(t) = -32t + 64
Now, where the ball is at its highest point is where the velocity is equal to 0, so setting the velocity function equal to 0 allows us to determine how many seconds it takes to get to that max height.
0 = -32t + 64 and
-64 = -32t so
t = 2 seconds. It takes 2 seconds to get to its max height. In order to determine that max height, we sub 2 in for t in the position function:
and
s(2) = 66 feet. The max height of the ball is 66 feet.
Answer:
The correct answer is "$159 and $175".
Step-by-step explanation:
The give values are:
Mean,
= $167
Standard deviation,
= $40
Number of commuters,
n = 100
Now,
⇒
On putting the given values, we get
⇒
⇒
⇒
By using the 2 SE rule of thumb, we get
=
=
= ($)
Or,
=
=
= ($)
i.e,
$159 and $175
Answer:
The answer is B.
Step-by-step explanation:
From the interval -6 < x < 0, the line is straight which is linear equation. The line shows its going down so it will be decreasing gradient.
Answer:
Step-by-step explanation:
If <em>t</em> is years since January 1, 2010, then on January 1, 2010, <em>t</em> = 0.
On April 1, 2010, there are 3 months from January 1, 2010. <em>t</em> = 0.25 (3 months ÷ 12 months)
At <em>t</em> = 0, <em>P</em>(<em>t</em>) = 500
At <em>t</em> = 0.25, <em>P</em>(<em>t</em>) = 750
Substituting for <em>B</em> and <em>k</em> in <em>P</em>(<em>t</em>),