- The kind of curve obtained is linear.
- The relationship between the variables is direct variation.
- After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
- The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.
In this exercise, you're required to plot a graph for the data (velocity and time) recorded for an object that is falling from rest.
Based on the graph for the data (see attachment), we can logically deduce the following points:
- The kind of curve obtained is linear.
- The relationship between the variables is direct variation.
- After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
- The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.
Read more on graphs here: brainly.com/question/25875680
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Complete Question:
Plot a graph for the following data recorded for an object falling from rest
a. What kind of a curve did you obtain?
b. What is the relationship between the variables?
c. What do you expect the velocity to be after 4.5 s?
d. How much time is required for the object to attain a speed of 100 ft/s?
CL.1.142):
A):
x5 ==> 4 boxes = 3ft <==== x5
20 boxes = ? ft
20 boxes is 15 ft. high
B): x3 ===> 4 boxes = 3ft. <==== x3
? boxes = 9ft.
12 boxes will fit in one stack.
c): CL.143
Perimeter = 15 + 29 + 9 + 11 + 6 + 18 =====> 88m
A1 = b * h
(18)(15)
270m^2
A2 = b * h
(11)(9)
99
Total Area ======> 270 + 99 ======> 369m^2
CL.1-144
1/4 + 1/4 + 1/5 = 5/20 + 5/20 + 4/20 ====> 14/20
1/4 * 5/5 =====> 5/20
1/5 * 4/4 =====> 4/20
14/20 + ?/20 = 20/20
? = 6 Missing Section
6/20 ======> 3/10
CL-1.145
A): 40/100 = 4/10 ====> 2/5
0.4 ========> 40%
B): 1/6 ======> .00000
0.16 (Repeating 6) ======> 16.6%
C): 37.5/100 = 375/1000 =======> 3/8
0.375 =========> 37.5%
CL-1.146
ADD: 1/6 + 1/2 show all steps:
1/6 + 1/2
1/6 + 3/6
1 + 3 / 6
4/6 =======> 2/3 =======> Decimal: =======> 0.666667
Hope that helps!!!! : )
If you would like to solve the equation 2 * x^2 + 8 * x = x^2 - 16, you can calculate this using the following steps:
<span>2 * x^2 + 8 * x = x^2 - 16
</span><span>2 * x^2 - x^2 + 8 * x + 16 = 0
</span>x^2 + 8 * x + 16 = 0
(x + 4) * (x + 4) = 0
x = - 4
<span>The correct result would be x = - 4.</span>
Answer: The constant of proportionality is 5 because the equation would be y=kx but instead of k it has 5.
Answer:
a) 0.383
b) 0.375
Step-by-step explanation:
a) Calculate each z-score.
z = (x − μ) / σ
z₁ = (112 − 118) / 12 = -0.5
z₂ = (124 − 118) / 12 = 0.5
Use a calculator or z-score table to find the probability.
P(-0.5 < Z < 0.5) = 0.6915 − 0.3085 = 0.383
b) 0.383 × 16 ≈ 6. So the expected proportion would be 6/16 = 0.375.