Varied Effects of Feedback on Grammar across Upper-Division Business Students

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Use “You Can Lead a Horse to Water but You Can’t Make Him Edit: Varied Effects of Feedback on Grammar across Upper-Division Business Students” and the guidelines for writing in the topic study materials.

Write a 250-500-word summary of the article that includes paraphrases of the article, the research problem, questions, method, findings, and implications discussed by the authors.

Prepare this assignment according to the guidelines found in the APA Style Guide, located in the Student Success Center. An abstract is not required.

Sample Solution

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The dot product, the point groups, and the regular solids.

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Definition 1 A polyhedron P ⊂ R
3
is a regular solid if every face is an identical regular polygon
and the same number of faces meet at each vertex.
You probably remember that there are only 5 regular solids: the tetrahedron, cube, octahedron,
dodecahedron, and icosahedron, and I suspect that you can picture them. But here’s a harder
question: what are the coordinates of their vertices?
One way to generate coordinates is to use the point groups. For instance, any four (noncoplanar) points ~p, ~q, ~r, ~s ∈ R
3
form a tetrahedron by taking the four triangular faces to be {~q, ~r, ~s},
{~p, ~r, ~s}, {~p, ~q, ~s}, and {~p, ~q, ~r}, as below.
~p
~q
~r ~s
Since three triangles meet at each vertex, the second condition of Definition 1 is met regardless of
the positions of ~p, ~q, ~r, ~s. However, the triangular faces may not all be equilateral.
~p
~q
~r
~s
~e1 ~e2
~e3
Here, ~p = (1, 1, 1), ~q = (−1, −1, 1), ~r = (1, −1, −1) and ~s = (−1, 1, −1). This is a special
tetrahedron!
1

  1. (10 points) We are now going to use the point group G to show that the tetrahedron above with
    ~p = (1, 1, 1), ~q = (−1, −1, 1), ~r = (1, −1, −1) and ~s = (−1, 1, −1) is a regular solid.
    (1) (5 points) Prove that A and B permute ~p, ~q, ~r, and ~s and write down the permutation.
    Conclude that every element of G permutes these vectors in some way (because it is a
    product of A’s and B’s).
    2
    3
    (2) (5 points) Use the last question to find an isometry in G (that is, a product of A’s and B’s)
    which takes the edge {~p ~q} to each of the other 5 edges of the tetrahedron: {~p ~r}, {~p ~s},
    {~q ~r}, {~r ~s}, and {~s ~r} to show that all the faces are equilateral triangles.
    4
  2. (10 points) Starting with any ~v = (1, x, 0) (assume x < 1), we can generate 12 vectors
    ~v1, . . . , ~v12 by applying the 12 matrices in G to ~v. We can group these into the vertices of
    3 rectangles in the ~e1 − ~e2, ~e2 − ~e3 and ~e3 − ~e1 planes as below.
    ~e1
    ~e2
    ~e3
    I~v = (1, x, 0)
    A~v = (0, 1, x)
    Label each vertex above with its coordinates and the corresponding matrix in G (written as
    a product of A’s and B’s). We have labeled I~v and A~v above to help you get started.
    5
  3. (15 points) As we did with the tetrahedron, we’re now going to use the point group to show
    that certain distances between our 12 points are the same and we’re going to connect this group
    to a different Platonic solid!
    (1) (5 points) The edge {~v A~v} is one of 12 edges marked in blue on the picture below. Use
    the results of Question 2 to describe each of these edges in the form {C~v D~v} where C
    and D are products of A’s and B’s.
    I~v
    A~v
    There is plenty of space to write computations below and on the next page, but it might
    be easier for you to write in the coordinates on the picture above.
    6
    7
    (2) (5 points) Prove that all of these edges have the same length by finding isometries in
    G which take {I~v A~v} to each of these edges. This proves that the blue triangles are
    equilateral. Hint: You’ll eventually need to use the relations between products of A and
    B that you developed from (AB)
    3 = I in the last homework.
    8
    (3) (5 points) You don’t have to match isometries with edges explicitly again, but the 12
    isometries in G map the edge {~v, BAB~v} to the 12 edges in red below left. The red
    edges all have the same length and the red triangles are equilateral. So our construction
    yields a one-parameter family of solids which are G-symmetric, depending on the x in
    ~v = (1, x, 0).
    Each has 12 vertices and 20 triangular faces, with 5 triangles meeting at every vertex.
    However, while the 4 red triangles and the 4 blue triangles are always equilateral, the 12
    green triangles are only isoceles. An example is shown below center.
    Solve for the length of the red edges r(x) and the blue edges b(x) to prove that b(x) =
    r(x). Then set b(x) = r(x) = 2x (the length of the short side of the rectangles) to find
    the x which makes the green triangles equilateral and the entire figure an icosahedron, as
    shown below right.
    Hint: The value x should be familiar . . . what is it?

Sample Solution

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nursing models

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Models of Practice

What is a model?

A model demonstrates the researcher’s interpretation of how concepts are related to one another and are developed based on qualitative research. Models often are precursors to theory development.

Three of the most prominent nursing models categorized as focusing on goals and functions include Florence Nightingale’s environmental model of nursing, Dorothy Johnson’s behavioral system model, and Nola J. Pender’s health promotion model.

Directions

In this assignment, you will locate a model of practice that you could apply to nursing. It does not need to be a nursing model. Models of practice can be found in leadership, business, education, and technology. You will explain why you have chosen the model and apply the model to your advanced practice role in the template provided.

In the first row, in the first column, write the name of your chosen model. An example has been provided in the first rows to guide you. Please remove the examples when entering your information

In the first column of the template table, list the characteristics of the model you have chosen with a source/s of support. In the second column, list an application to your advanced nursing practice role upon graduation with a source of support/s.

Assignment Details

For this Assignment, your paper must be 2 to 3 pages, not including the title and reference pages.

 

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A government-imposed price floor, above the equilibrium price, in the market for a good or service will result in:

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Week 2 QUIZ

GLOBAL BUSINESS OPPORTUNITIES ANALYSIS

1. If a good is considered “normal” by economists, an increase in consumers’ incomes will result in a decrease in the demand for the good.

True

False

2. According to the law of demand, as the price of a good or service increases, the:

Demand for the good or service will decrease.

Demand for the good or service will increase.

Quantity demanded of the good or service will decrease.

Quantity demanded of the good or service will increase.

3 An increase in the price of a good would be illustrated on a demand graph as a:

Shift of the demand curve to the right.

Shift of the demand curve to the left.

Movement along the demand curve upward.

Movement along the demand curve downward.

4 If the number of consumers in the market for good A increases, what will happen to the equilibrium price and quantity of good A?

Equilibrium price and quantity will both decrease

Equilibrium price and quantity will both increase

Equilibrium price will increase and equilibrium quantity will decrease

Equilibrium price will decrease and equilibrium quantity will increase

5 A government-imposed price floor, above the equilibrium price, in the market for a good or service will result in:

A surplus of the good or service.

A shortage of the good or service.

Lower prices for consumers.

Equilibrium.

6. If two goods are complements, an increase in the price of one good will cause a decrease in the demand for the other.

True

False

7 A decrease in the price of a good would be illustrated on a supply graph as a:

Shift of the supply curve to the right.

Shift of the supply curve to the left.

Movement along the supply curve upward.

Movement along the supply curve downward.

8 An increase in the average incomes of consumers will result in an increase in the demand for goods and services.

True

False

9 If consumers expect higher coffee prices in the future:

The demand for coffee will increase now.

The demand for coffee will decrease now.

The supply of coffee will increase now.

The supply of coffee will decrease now.

10 If the price of peanut butter were to increase, what would likely happen to the demand for jelly?

The demand for jelly would increase—the demand curve would shift right.

The demand for jelly would decrease—the demand curve would shift left.

The demand for jelly would increase—the demand curve would shift vertically upward.

The demand for jelly would decrease—the demand curve would shift vertically downward.

11 If producers expect the price of a good to rise, what will happen to the good’s equilibrium price and quantity?

Equilibrium price and quantity will both decrease

Equilibrium price and quantity will both increase

Equilibrium price will increase and equilibrium quantity will decrease

Equilibrium price will decrease and equilibrium quantity will increase

12 If the government decides to subsidize the production of a good, the result would be a decrease in the equilibrium price and a decrease in the equilibrium quantity.

True

False

13 If the government imposes a tax on the production of a good or service, the equilibrium price and quantity of the good will both decrease.

True

False

14 If good A is considered to be an inferior good, when incomes rise the demand for good A will decrease and the demand curve will shift to the left.

True

False

15 According to the law of supply, if the price of a good or service increases:

Supply will decrease

Supply will increase.

Quantity supplied will decrease.

Quantity supplied will increase.

16 When the price of good A rises, people start to drink good B. In this case:

Good B is considered a luxury good.

Good B is a complementary good.

Good B is a substitute good.

Good B is a normal good.

17 If the price of one of the resources used to produce a good decreases, the supply curve for that good would shift right.

True

False

18 An improvement in technology used by producers of a certain good will result in, decrease in the demand for the good.

True

False

19 For the following scenario in the soft drinks market, review the graph below and answer the accompanying question.

Scenario 1: The government tries to battle obesity by taxing the production of soft drinks. 

Based on Scenario 1, which graph illustrates the change in the soft drinks market?

Graph 1

Graph 2

Graph 3

Graph 4

20 The price of milk increases from $3.50 to $4.50 per gallon.

Scenario 1: The price of milk increases from $3.50 to $4.50 per gallon.

Based on Scenario 1, the demand curve for milk:

Shifts to the right

Shifts to the left

Does not shift

Cannot be determined from available information

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