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## You used three methods of analysis to find the acceleration of the cart on the track: a two-point difference from v(t), an average of a(t) that was itself calculated by a succession of first differences of the v(t) data, and a line fit to v(t). some criteria to help you consider which method is best are part a in which type of graph(s) is it easiest to see whether the acceleration was constant?

The best way to find that you want is the line fit. When acceleration is constant the speed(v) changes smoothly every moment, so the v line must be straight. Differently, the accelaration changes.

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## A regression line was calculated as ŷ = 1.7x + 2.1. What is the slope of the regression line. is _____.

A regression line was calculated as ŷ = 1.7x + 2.1. What is the slope of the regression line. is _____.

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## A company is setting its direct materials and direct labor standards for its leading product. Direct material costs from the supplier areâ€‹ \$7 per squareâ€‹ foot, net of purchase discount.â€‹ Freight-in amounts toâ€‹ \$0.10 per square foot. Basic wages of the assembly line personnel areâ€‹ \$19 per hour. Payroll taxes are approximatelyâ€‹ 25% of wages. How much is the direct labor cost standard perâ€‹ hour

The formula for calculating the direct labor standard is:

Direct labor standard = Basic wages + Payroll tax

or

Direct labor standard = Basic wages + 25% of Basic wages

Substituting the given values into the equation:

Direct labor standard = \$19 + 0.25 * \$19

Direct labor standard = \$23.75

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## What is the slope of this line x+3y=10

What is the slope of this line x+3y=10

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## For this assignment, use the novel or short story you chose to read for this module. Write a paragraph explaining the conflict and the perspectives of the protagonist and antagonist. Review the example in the lesson. Be sure your paragraph mentions the title and author in the first sentence briefly summarizes the plot identifies the main conflict describes the protagonist’s perspective on the conflict provides a line of dialogue that the protagonist says to support your idea (text support) describes the antagonist’s perspective of the conflict provide a line of dialogue that the antagonist says to support your idea (text support) includes a closing line to summarize the character’s views uses correct grammar, punctuation, and spelling

For this assignment, use the novel or short story you chose to read for this module. Write a paragraph explaining the conflict and the perspectives of the protagonist and antagonist. Review the example in the lesson. Be sure your paragraph mentions the title and author in the first sentence briefly summarizes the plot identifies the main conflict describes the protagonist’s perspective on the conflict provides a line of dialogue that the protagonist says to support your idea (text support) describes the antagonist’s perspective of the conflict provide a line of dialogue that the antagonist says to support your idea (text support) includes a closing line to summarize the character’s views uses correct grammar, punctuation, and spelling

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## The data set shown below represents the number of times some families went out for dinner the previous week. 4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1 Create a dot plot to represent the data. What can you conclude about the dot plot of the data set? Check all that apply. The range of the number line should be 0 to 7 to represent the frequency. Four families said they ate out twice the previous week. One family said they ate out 5 times the previous week. The data set is symmetrical. The median best represents the data set.

The correct options are:

• Four families said they ate out twice the previous week.
• One family said they ate out 5 times the previous week.
• The median best represents the data set.

Step-by-step explanation:

We are given a data set as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

On arranging this data set in the frequency table we get:

Number of times they went for dinner    Number of families

0                                                          2

1                                                           3

2                                                          4

3                                                           1

4                                                           2

5                                                           1

6                                                            1

• Hence, the range of the number line is between 0 to 6.
• Also there are 4 dots above 2.

Hence,  Four families said they ate out twice the previous week.

• Also there is one dot above 5.

Hence,  One family said they ate out 5 times the previous week.

• The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.

Hence, the data set is not symmetrical.

• Also we know that the median of the data is the central tendency of the data and always best represents the data.

Hence, The median best represents the data set.

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## Which fact is not used to prove that PQR is similar to STR? Segments ST and PQ are parallel. Angle P is congruent to itself due to the reflexive property. RP is a transversal line passing ST and PQ. Angles RTS and RQP are congruent due to the Corresponding Angles Postulate.

The fact that is not used to prove that PQR is similar to STR is that “Angle P is congruent to itself due to the reflexive property.” The statements Segments ST and PQ are parallel, RP is a transversal line passing ST and PQ and Angles RTS and RQP are congruent due to the Corresponding Angles Postulate are all true.

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## Given 3 non-collinear points, which of the following statements are not true? There is only 1 plane that contains all 3 points. They will be contained in the same line. Any of the 3 points can be the intersection of 2 planes. Any 2 of the points defines a line entirely within the plane.

Non-collinear points are points which do not form a
straight line. Three non-collinear points create a plane therefore they are
always coplanar. Therefore the statements which are not true are:

They will be contained in the same line.

Any of the 3 points can be the intersection of 2 planes.

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## How do you find the equation of a line when the slope is 5 and contains the point (3,2)?

How do you find the equation of a line when the slope is 5 and contains the point (3,2)?

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## Jaime graphed the quadratic function y=-2x-12x+3. the equation of the line of symmetry of the function is x=-3. what is the vertex of the function

Jaime graphed the quadratic function y=-2x-12x+3. the equation of the line of symmetry of the function is x=-3. what is the vertex of the function

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## Line AB contains points A (0, 1) and B (1, 5). The slope of line AB is −4 negative 1 over 4 1 over 4 4

Line AB contains points A (0, 1) and B (1, 5). The slope of line AB is −4 negative 1 over 4 1 over 4 4

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## Write the equation of a line, in general form, that passes through points (-1, 2) and (5, 2).

Write the equation of a line, in general form, that passes through points (-1, 2) and (5, 2).

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## Match each equation to the line of best fit that it models

Match each equation to the line of best fit that it models

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## Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3? y + 2 =(x + 3) y – 2 = (x – 3) y + 3 = (x + 2) y – 3 = (x – 2)

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3? y + 2 =(x + 3) y – 2 = (x – 3) y + 3 = (x + 2) y – 3 = (x – 2)

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## Identify both the x- and y-intercepts of the linear equation graphed on the coordinate plane above. Use the intercepts to write an equation of the line in point-slope form, slope-intercept form, and general form of a linear equation.Complete your work in the space provided or upload a file that can display math symbols if your work requires it. In your work, be sure to include the coordinates for both intercepts and the equations of the line in all three formats.

The x int (where the line crosses the x axis) is (-2,0)
the y int (where the line crosses the y axis) is (0,-2)

(-2,0)(0,-2)
slope = (-2 – 0) / (0 – (-2) = -2/2 = -1

y = mx + b
slope(m) = -1
use either of ur points (-2,0)…x = -2 and y = 0
sub and find b
0 = -1(-2) + b
0 = 2 + b
-2 = b

so ur equation in slope intercept form is : y = -x – 2

y = -x – 2
x + y = -2
x + y + 2 = 0 <== general form

there can be 2 answer for point slope form…
y – y1 = m(x – x1)
slope(m) = -1
(-2,0)…x1 = -2 and y1 = 0
sub
y – 0 = – (x – (-2)
y – 0 = -(x + 2) <=== point slope form

y – y1 = m(x – x1)
slope(m) = -1
(0,-2)…x1 = 0 and y1 = -2
sub
y – (-2) = – (x – 0)
y + 2 = – (x – 0) <== point slope form

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## The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function 2 y = 6x + 1 How much more is the rate of change of function 2 than the rate of change of function 1? A. 5 B. 6 C. 7 D. 8

The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function 2 y = 6x + 1 How much more is the rate of change of function 2 than the rate of change of function 1? A. 5 B. 6 C. 7 D. 8

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## What is the shortest route around the earth A) straight line across a map B) great circle route C) flying diagonally to longitudes D) winkel tripel route

What is the shortest route around the earth A) straight line across a map B) great circle route C) flying diagonally to longitudes D) winkel tripel route

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## The following graph shows the demand curve for a group of consumers in the U.S. market (blue line) for Blu-ray players. The market price of a Blu-ray player is shown by the black horizontal line at \$150. Each rectangle you can place on the following graph corresponds to a particular buyer in this market: orange (square symbols) for Antonio, green (triangle symbols) for Caroline, purple (diamond symbols) for Dmitri, tan (dash symbols) for Frances, and blue (circle symbols) for Jake. Use the rectangles to shade the areas representing consumer surplus for each person who is willing and able to purchase a Blu-ray player at a market price of \$150. (Note: If a person will not purchase a Blu-ray player at the market price, indicate this by leaving his or her rectangle in its original position on the palette.

On December 15, 1791, the Bill of Rights (the first ten amendments to the United States Constitution) were ratified by the states.

The Bill of Rights were added to the Constitution to address fears raised by the Anti-Federalists during the ratification of the Constitution that the Constitution did not provide sufficient protection against abuses of power by the federal government.

James Madison, the Father of the Constitution, originally did not think a Bill of Rights was necessary. He thought the Constitution gave no power to the federal government that would allow for a violation of the rights of the people.

Madison later changed his position, persuaded mainly by Thomas Jefferson, and, with the help of others, drafted twenty amendments that were proposed to the first United States Congress in 1789.

Twelve of the proposed amendments were accepted by Congress and were then sent to the states for ratification. Only ten were ratified.

These ten amendments list our basic rights and place limits on the federal government. They include the freedoms of speech and religion, the right to bear arms, the right to be free from unreasonable searches and seizures, and an assurance that the powers not delegated to the federal government in the Constitution are reserved to the states and the people. Many of these provisions were based upon similar protections provided by state constitutions that limited the power of state and local government authorities.

Of the remaining amendments that were not ratified in 1791, one was later adopted in 1992 as the twenty-seventh amendment to the Constitution. That amendment prevents changes in the compensation for senators and representatives until after a subsequent election of representatives. The other proposed amendment has never been adopted.

The Bill of Rights illustrates that our Founders understood that for personal freedoms to be broad, the power of the federal government must be limited.

Our nation, however, has moved away from its founding principles, especially during recent decades. Our ever-growing federal government is intervening into more and more aspects of our lives, especially through bureaucratic regulations, and is reducing our personal freedoms in the process.

Government at all levels is doing more and more things that were once left to private individuals and groups, and the federal government is doing more and more things that were once the province of state and local governments, where greater accountability to the public is often possible.

One need only look at the HHS mandate—forcing employers to violate their religious beliefs, under pain of penalty, by paying for and providing abortion pill insurance coverage—to see the harm caused by an overreaching government.

The preservation of our liberties is a daily battle, something our Founders understood. The process of scaling back the size and role of government and returning limits to it is a long one. But, since the federal government is supposed to be our servant and not our master, no one should doubt the importance of this endeavor.

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## A debit card is a line of credit and interest may accrue if the monthly balance is not paid in full.

A debit card is a line of credit and interest may accrue if the monthly balance is not paid in full.

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## Which line from act 1 of the importance of being earnest is an epigram? A. “There is no good offering a large reward now that the thing is found.” B. “… you have no right whatsoever to read what is written inside.” C. “More than half of modern culture depends on what one shouldn’t read.” D. “Well, if you want to know, Cecily happens to be my aunt.”

“More than half of modern culture depends on what one shouldn’t read.”

An epigram is a clever or witty saying that expresses an idea. This line epitomizes how Wilde feels about the ideals of morality during his time period. A strict set of rules that most people don’t follow. This also fits with the title as Ernest turns out not to be very earnest. The other lines are simply statements from the characters.

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## Which equation can be used to calculate the area of the shaded triangle in the figure below? A rectangle is shown with a width of 6 ft and a length of 16 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey. choices 2(16 × 6) = 192 square feet 2(16 + 6) = 44 square feet 1 over 2.(16 × 6) = 48 square feet 1 over 2.(6 + 16) = 11 square feet

Which equation can be used to calculate the area of the shaded triangle in the figure below? A rectangle is shown with a width of 6 ft and a length of 16 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey. choices 2(16 × 6) = 192 square feet 2(16 + 6) = 44 square feet 1 over 2.(16 × 6) = 48 square feet 1 over 2.(6 + 16) = 11 square feet

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## Why did Pope Alexander VI establish a line of demarcation in 1493?

Why did Pope Alexander VI establish a line of demarcation in 1493?

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## The point (-2,6) is on the line given by which equation below?

You do not have a multiple choice for the answer, but an equation for a line that includes that point starts off by using y=M(X)+b. So the equation can be anything but an example is y=-2(X)+2. To prove this equation works substitute the x and y values. 6=-2(-2)+2 —->   6=4+2 —–>6=6

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## Which of the points shown below are on the line given by the equation y=x

Which of the points shown below are on the line given by the equation y=x

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## Point R(5,-3) and point N(9,-4) are on line k. What is the slope of the line passing through these points?

Point R(5,-3) and point N(9,-4) are on line k. What is the slope of the line passing through these points?