There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the
1 answer:
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Answer:
Step-by-step explanation:
To find the equation of the a line that passes through the two given points, we must first find the slope between the two points. We can do this by using the slope formula. The slope formula is:
where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.
By plugging in (-2, -4) and (0, 5) for (x₁, y₁) and (x₂, y₂) respectively, we get:
So the slope is 9/2. Now we that we have found the slope, we can write an equation. Normally, when we are given two points, we would pick one of the points and plug it into the point-slope form and then solve for slope-intercept form. Here, notice that one of the points give, (0, 5), is the y-intercept. Knowing this, we can plug in 5 for the y-intercept into the slope-intercept form to get our equation. Remember, slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
Pugging in 9/2 for m and 5 for b we get:
which would be our equation.
I hope this helps. Happy studying.
Answer:
The velocity function is .
The acceleration function is .
When t = 44, the velocity is .
When t = 44, the acceleration is .
Step-by-step explanation:
We know that the position function is given by
Velocity is defined as the rate of change of position or the rate of displacement. If you take the derivative of the position function you get the instantaneous velocity function.
Acceleration is defined as the rate of change of velocity. If you take the derivative of the instantaneous velocity function you get the instantaneous acceleration function.
The instantaneous velocity function is given by
The instantaneous acceleration function is given by
To find the velocity and acceleration when t = 44, we substitute this value into the velocity and acceleration functions