Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
The object to hit the ground takes 3.675 seconds.
An initial velocity of 48.6 feet per second
When the object hits the ground, h=0:
h=−16t²+48.6t+37.5
0=−16t²+48.6t+37.5
We have to apply the quadratic formula:
For: ax²+ bx + c
x =[ -b ± √b²-4ac] /2a
Substituting with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
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A histogram is a graphical representation of data. A histogram is uniform when it forms almost a straight, horizontal line. It is symmetric when it forms a bell shape, equal parts to both sides. It is skewed when most of the data falls to the left or right.
With reference to the image attached below, a histogram is uniform if it forms a straight line, symmetrical if it forms a bell-shaped curve, and skewed.
When a histogram is uniform, it appears like a straight line is formed. When the histogram is symmetrical, it forms a normal bell-shaped curve as shown in the image attached below.
Also, the image attached below shows how a skewed histogram will appear like.
In summary, a histogram is uniform if it forms a straight line, symmetrical if it forms a bell-shaped curve, and skewed as shown in the image below.
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Answer: 3
Step-by-step explanation: The common difference of an arithmetic sequence is the constant difference between consecutive terms. To find the common difference, we can subtract any term from its previous term. In this case, we can subtract -4 from -7 or -1 from -4. Both subtractions yield a result of 3. Therefore, the common difference of the arithmetic sequence -7, -4, -1, … is 3
Answer:
2/16
5/40
Step-by-step explanation: