Answer:
t = 15.42 s
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.

We ned to find the time when the rocket will the ground. For this, y = 0

It is a quadratic equation whose solution is given by :

Here, a = -16, b = 242 and c = 73

Neglecting negative value.
So, it will hit the ground in 15.42 s.
Draw a diagram to illustrate the problem as shown in the figure below.
The minimum depth of 2.5 m occurs at 12:00 am and at 12:30 pm.
Therefore the period i0s T= 12.5 hours.
The maximum depth of 5.5 m occurs at 6:15 am and at 6:45 pm. Therefore the period of T = 12.5 hours is confirmed.
The double amplitude is 5.5 - 2.5 = 3 m, therefore the amplitude is a = 1.5 m.
The mean depth is k = (2.5 + 5.5)/2 = 4.0 m
The model for tide depth is

That is,
d = -1.5 cos(0.5027t) + 4
where
d = depth, m
t = time, hours
A plot of the function confirms that the model is correct.
100% - 55.7%
= 100% - 55% - 0.70%
= 45% - 0.70%
= 44.30%
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This means that the probability of selecting a female student at random is 44.3% as a percentage.
Answer:
5 hours
Step-by-step explantioon:
35x+75=20x+150
15x+75=150
15x=75
x=5
Answer:
8x+9
Step-by-step explanation:
Add the like terms together.
3x+9+4x+x = 8x+9