Answer:
26
Step-by-step explanation:
You have to divide the two numbers, which are 2 and 52
Answer:
The position P is:
ft <u><em> Remember that the position is a vector. Observe the attached image</em></u>
Step-by-step explanation:
The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity
is:
![y(t) = y_0 + s_0t -16t ^ 2](https://tex.z-dn.net/?f=y%28t%29%20%3D%20y_0%20%2B%20s_0t%20-16t%20%5E%202)
Where
is the initial height = 0 for this case
We know that the initial velocity is:
82 ft/sec at an angle of 58 ° with respect to the ground.
So:
ft/sec
ft/sec
Thus
![y(t) = 69.54t -16t ^ 2](https://tex.z-dn.net/?f=y%28t%29%20%3D%2069.54t%20-16t%20%5E%202)
The height after 2 sec is:
![y(2) = 69.54 (2) -16 (2) ^ 2](https://tex.z-dn.net/?f=y%282%29%20%3D%2069.54%20%282%29%20-16%20%282%29%20%5E%202)
![y(2) = 75\ ft](https://tex.z-dn.net/?f=y%282%29%20%3D%2075%5C%20ft)
Then the equation that describes the horizontal position of the ball is
![X(t) = X_0 + s_0t](https://tex.z-dn.net/?f=X%28t%29%20%3D%20X_0%20%2B%20s_0t)
Where
for this case
ft / sec
ft/sec
So
![X(t) = 43.45t](https://tex.z-dn.net/?f=X%28t%29%20%3D%2043.45t)
After 2 seconds the horizontal distance reached by the ball is:
![X (2) = 43.45(2)\\\\X (2) = 87\ ft](https://tex.z-dn.net/?f=X%20%282%29%20%3D%2043.45%282%29%5C%5C%5C%5CX%20%282%29%20%3D%2087%5C%20ft)
Finally the vector position P is:
ft
We know the total tickets sold = 400.
Let x be the number of adult tickets sold.
That means 400 - x is the number of student tickets.
The revenue from adult tickets will be $3 * x, which we can call 3x.
The revenue from student ticks will be $2 * (400 - x), or 800 - 2x.
The total revenue is $1050, so that means:
3x + (800 - 2x) = 1050.
Removing the parentheses:
3x + 800 - 2x = 1050
Subtracting 800 from both sides:
3x - 2x = 250
Simplifying the left side:
x = 250, which is the number of adult tickets.
400-x = student tickets = 400-250 = 150.
ALWAYS check!
In this case, check the revenue:
3x = 3(250) = 750
2(150) = 300
750 + 300 = 1050. Check!
Negative 3x over the power by four