The right answer for the question that is being asked and shown above is that: "Nonrandomized study."
The additional step is also crucial to the success of the study is that Nonrandomized study. When conducting an observational study, it is important to choose a topic, select a variable, create a hypothesis, collect the data, and analyze the data <span>for validity of the hypothesis.</span><span> </span>
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, - 3)
m =
= - 3
note the line crosses the y- axis at (0, - 3) ⇒ c = - 3
y = - 3x - 3 ← in slope- intercept form
Add 3x to both sides
3x + y = - 3 ← in standard form → C
the line has a negative slope cause it’s going downwards.
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Dy/dx=10,15,20,25,30
d2y/dx2=5,5,5,5,5 (there is no "rate of change" that is constant because acceleration is positive meaning that velocity keeps increasing...)
Since d2y/dx2 is constant, acceleration is constant, and this means that it is a quadratic equation of the form y=ax^2+bx+c
There are only three unknowns so we can use just three data points.
9a+3b+c=60
4a+2b+c=40
a+b+c=25 getting differences between these...
5a+b=20
3a+b=15 and again...
2a=5, so a=2.5, making 3a+b=15 become:
7.5+b=15, so b=7.5, making a+b+c=25 become:
2.5+7.5+c=25, so c=15
So the quadratic which produced the table is:
y=2.5x^2+7.5b+15
This is the regular old position function you see with any object moving with constant acceleration (like gravity when simplified).
The acceleration is 2.5 it has an initial velocity of 7.5 and an initial position of 15.