Answer:
3 seconds
Step-by-step explanation:
When the ball hits the ground, the height will be 0. Therefore, you can substitute 0 in for the value of f(t), hence the equation will be:
0 = -16t^2 + 32t + 48
You can then factor out -16:
0 = t^2 - 2t - 3
Factor:
0 = (t-3)(t+1)
t = 3, -1
However -1 is an extraneous solution because time cannot be negative. Therefore, the answer is 3 seconds.
The fraction based on the information given illustrated for each person.
<h3>How to illustrate the information?</h3>
Me: $14.89
Friend 1: $7.27
Friend 2: $25.67
Friend 3: $11.59
Total = $59.42
The fraction for each person will be:
Me: $14.89 = 14.89/59.42 = 0.25
Friend 1: $7.27 = 7.27/59.42 = 0.12
Friend 2: $25.67 = 25.67/59.42 = 0.32
Friend 3: $11.59 = 11.59/59.42 = 0.195
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2 not given 3 given 4given 5 not given
Answer:
Area = 5x^2 +7x -26
Step-by-step explanation:
The area of the shaded region can be found if you substruct the small rectangle from the big one. The area of any rectangle is calculated if you multiply width and height.
In other words:
A_small = (x-3)(x-6) = x^2-9x +18
A_big = (2x+2)(3x-4) = 6x^2 -2x -8
A_big - A_small = (6x^2 -2x -8) - (x^2-9x +18)
= 6x^2 -2x -8 - x^2 + 9x -18
= 5x^2 +7x -26
Our current list has 11!/2!11!/2! arrangements which we must divide into equivalence classes just as before, only this time the classes contain arrangements where only the two As are arranged, following this logic requires us to divide by arrangement of the 2 As giving (11!/2!)/2!=11!/(2!2)(11!/2!)/2!=11!/(2!2).
Repeating the process one last time for equivalence classes for arrangements of only T's leads us to divide the list once again by 2