Answer:
The maximum height that the ball will reach is 81 ft
Step-by-step explanation:
Note that the tray of the ball is given by the equation of a parabola of negative main coefficient. Then, the maximum value for a parabola is at its vertex.
For an equation of the form

So
the t coordinate of the vertice is:

In this case the equation is:

So

Therefore


Finally the maximum height that the ball will reach is


Answer:
The intensity on a screen 70 ft from the light is 1.728 foot candle.
Step-by-step explanation:
Given that,
The magnitude of intensity
of light varies inversely as the square of the magnitude of distance D from the source.
That is

Then,

Given that,
The magnitude of intensity of illumination on a screen 56 ft from a light is 2.7 foot-candle.
Here,
=2.7 foot-candle,
= 56 ft
=?,
= 70 ft.




foot-candle
The intensity on a screen 70 ft from the light is 1.728 foot candle.
9 minutes and 3o seconds, because 57 divided by 6 is 9.5.
Answer:
B. The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 4 units to the left.
Step-by-step explanation:
The
is less than one, making it stretch wider, and the (-) made it flip over the x-axis. The +4 in
made the function on the graph shift 4 units to the left.
<u>This makes the correct answer be "B."</u>
Answer:
143,344
Step-by-step explanation:
Let d represent the total number of registered doctors. The given relation is ...
0.323d = 46,300
Dividing by the coefficient of d, we get ...
d = 46,300/0.323 ≈ 143,343.7
The total number of registered doctors was about 143,344.