This can solved graphically, using algebraic manipulation or differential calculus.
Plotting the equation will generate a parabola. The vertex represents the point where the ball will reach the maximum height.
The vertex can be determined by completing the square
h = -16t2 + 45t + 5
h - 5 = -16(t2 - 45/16t)
h - 5 - 2025/64 = -16(t2 - 45/16t + 2025/1024)
(-1/16)(h - 2345/64) = (t - 45/32)^2
The vertex is
(45/32,2345/64) or (1.41,36.64)
The maximum height is 36.64 ft
Using calculus, taking the first derivative of the equation and equating to 0
dh/dt = 0 = -32t + 45
t = 45/32
Substituting this value to the equation
h = -16(45/32)^2 + 45(45/32) + 5
h = 36.64 ft
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Answer:
Step By Step Explanation:
Follow PEMDAS Order Of Operations
Calculate Within Parenthesis: 
Calculate Exponents: 
Divide: 
Add
➤ 
36 ways! All you have to do is multiple the number of seats by the number of people.
Answer:
22m²
Step-by-step explanation:
2 wide, 9 height is 18 for the rectangle figure. We see that the rectangle figure has a width of 2 while the entire width is 4. So 4-2 means the width of the right triangle that's split off is 2.
We see the rectangle height is 5, and total figure is 9, so 9-5 = height of 4 for the triangle.
4x2 x 1/2(since its a triangle) = 4
4+18 = 22
