Students in 7th grade took a standardized math test that they also had taken in 5th grade. The results are shown on the dot plot
2 answers:
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The average speed of Marcella in feet per seconds is 9.5 feet per second.
<h3>How are time taken for travel, distance traveled, and the average speed are related?</h3>We have this below shown relation between them
For the given case, we have:
The equation represents the line of best fit for the distance (in feet) that Marcella traveled over time (in seconds)
The line of best fit can be taken as approximately telling about the data points ( y = distance traveled in feet, and x = time spent )
Let the initial time be 'x' with initial distance traveled 'y', then the time after one second will be (x+1), and the distance traveled be
The value of y and are calculated as:
Thus, the average speed is calculated at time 'x' as:
We could've also used the fact that in the relation of y to x as , 'm' denotes the rate of y as x changes.
Thus, the average speed of Marcella in feet per seconds is 9.5 feet per second.
Learn more about average rate here:
Answer:
<h2>90°</h2>Step-by-step explanation:
First you must calculate the module or the magnitude of both vectors
The module of u is:
The module of v is:
Now we calculate the scalar product between both vectors
Finally we know that the scalar product of two vectors is equal to:
Where is the angle between the vectors u and v. Now we solve the equation for
the answer is 90°
Whenever the scalar product of two vectors is equals to zero it means that the angle between them is 90 °