(a) The vertical motion equation for the ball is h = 8 + 48t - 16t².
(b) The time for the ball to hit the ground is 3.15 s.
(c) The time for the ball to travel 56 ft above the ground is 0.79 s.
<h3>Vertical motion equation for the ball</h3>
The vertical motion equation for the ball is calculated as follows;
h = h₀ + vt - ¹/₂gt²
h = 8 + 48t - ¹/₂(32)t²
h = 8 + 48t - 16t²
<h3>Time for the ball to hit the ground</h3>
0 = 8 + 48t - 16t²
solve the above quadratic equation with formula method;
a = -16, b = 48, c = 8
t = 3.15 s
<h3>Time for the ball to be 56 ft above the ground</h3>
- let upward motion be positive
h = 8 + 48t + 16t²
56 = 8 + 48t + 16t²
0 = -48 + 48t + 16t²
solve the above quadratic equation with formula method;
a = 16, b = 48, c = -48
t = 0.79 s
Learn more about equation of motion here: brainly.com/question/25951773
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The correct answer is 190
<h3>
Answer: B. Graph is nearly symmetrical</h3>
Explanation:
Given information:
- A number line going from 2 to 11.
- 0 dots are above 2.
- 0 dots are above 3.
- 1 dot is above 4.
- 2 dots are above 5.
- 4 dots are above 6.
- 4 dots are above 7.
- 3 dots are above 8.
- 2 dots are above 9.
- 2 dots are above 10.
- 0 dots are above 11.
From that we can see the data set is {4,5,5,6,6,6,6,7,7,7,7,8,8,8,9,9,10,10} which produces the dot plot you see in the image attachment below.
It's a bit tricky to see, but the graph is nearly symmetrical. If we were to remove the blue points in the dot plot I provided, then we'll get a perfectly symmetrical distribution. Symmetrical means one half is a mirror copy of the the other half. The center line of a symmetrical distribution is both the mean and median.
Answer:
2
Step-by-step explanation:
0.5+
1
18
1
1
6
−
7
18
2.8
=
5
9
1
1
6
−
7
18
2.8
=
5
9
7
6
−
7
18
2.8
=
5
9
7
9
2.8
=
5
9
0.277778
=2
Step-by-step explanation:
inverse means that x becomes y and y becomes x.
the domain (x) of f(x) is -6 <= x <= 4
the range (y) of f(x) is 1 <= y <= 4
for the inverse now
the domain is 1 <= x <= 4
the range is -6 <= y <= 4
so you start the graph at x = 1 and y = -6.
that connects with x = 2 and y = 1.
and that connects straight vertically up with x = 2 and y = 4.
that connects with x= 3 and y = 0.
and that connects with x = 4 and y = -1.
and that connects straight vertically down with x = 4 and y = -4.
when you look at the graph this is just reversing x and y. what was input before (x) is now result (y), and what was result before is now input.
it also tells us that the inverse is not a function, because here a single x value has in some cases (x = 2 and x = 4) multiple different y values associated (y = 1..4 and y = -1..-4).