Answer:
Catherine's GPA is 2.48
Step-by-step explanation:
A z-score of 2.010 means that Catherine's GPA is 2.01 standard deviations above the mean. Therefore, Catherine's GPA is
Answer:
1.8571428571428571428571428571429
Step-by-step explanation:
Just divided it. The answer will be given exactly. :)
3.141592653589793238462643383279 502884197169399375105820974944 5923078164062862089986280348253421170679
a.
b. For every month the pine tree grows about 0.67 inches.
c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.
<h2>
Explanation:</h2>
<h3>PART A.</h3>
In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:
It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.
The point slope form of the equation of a line is:
Finding (m):
Finally, the equation of the line is:
<h3>
PART B.</h3>
In this case, we have that:
- The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
- The y-axis represents the <em>Height of the Tree </em>in inches.
Since the slope o a line is:
Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>
<h3>PART C.</h3>
The y-intercept can be found setting . So, from our equation:
So the y-intercept is and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>
<h2>Learn more:</h2>
Slope Intercept form: brainly.com/question/4192440
#LearnWithBrainly
The given identities are verified by using operations of the del operator such as divergence and curl of the given vectors.
<h3>What are the divergence and curl of a vector field?</h3>
The del operator is used for finding the divergence and the curl of a vector field.
The del operator is given by
Consider a vector field
Then the divergence of the vector F is,
div F = =
and the curl of the vector F is,
curl F = =
<h3>Calculation:</h3>
The given vector fields are:
and
1) Verifying the identity:
Consider L.H.S
⇒
⇒
⇒
⇒
Applying the dot product between these two vectors,
⇒ ...(1)
Consider R.H.S
⇒
So,
⇒
⇒
Then,
⇒ ...(2)
From (1) and (2),
2) Verifying the identity:
Consider L.H.S
⇒
⇒
⇒
Applying the cross product,
...(3)
Consider R.H.S,
⇒
So,
⇒
⇒
Then,
=
...(4)
Thus, from (3) and (4),
Learn more about divergence and curl of a vector field here:
brainly.com/question/4608972
#SPJ4
Disclaimer: The given question on the portal is incomplete.
Question: Let and be differential vector fields and let a and b arbitrary real constants. Verify the following identities.