-
The correct response for the part of the globe where the prevailing winds blow west to east is:
between 30°N and 60°N latitude. -
The correct response that describes the difference between the trade winds and the polar easterlies is:
The trade winds blow near the equator, and the polar easterlies blow near the poles. -
The correct response that describes the Coriolis effect is:
the direction of air currents in the Northern and Southern Hemispheres. -
The correct response for the change you would expect to observe as you travel from 15°S latitude to 15°N latitude is:
the direction of air currents.
Over which part of the globe do the prevailing winds blow west to east?(1 point)
Responses
between 30°N and 60°N latitude
between 30°N and 60°N latitude
between 60°S and 90°S latitude
between 60°S and 90°S latitude
between 0°S and 30°S latitude
between 0°S and 30°S latitude
between 0ºN and 30°N latitude
What is the difference between the trade winds and the polar easterlies?(1 point)
Responses
The trade winds blow in the Northern Hemisphere, and the polar easterlies blow in the Southern Hemisphere.
The trade winds blow in the Northern Hemisphere, and the polar easterlies blow in the Southern Hemisphere.
The trade winds blow near the equator, and the polar easterlies blow near the poles.
The trade winds blow near the equator, and the polar easterlies blow near the poles.
The trade winds tend toward the right, and the polar easterlies tend toward the left.
The trade winds tend toward the right, and the polar easterlies tend toward the left.
The trade winds blow from west to east, and the polar easterlies blow from east to west.
Which describes the Coriolis effect?(1 point)
Responses
the circulation pattern of air near the equator
the circulation pattern of air near the equator
the direction of air currents in the Northern and Southern Hemispheres
the direction of air currents in the Northern and Southern Hemispheres
the density of hot and cold air
the density of hot and cold air
the uneven heating patterns between the equator and the poles
Which change would you expect to observe as you travel from 15°S latitude to 15°N latitude?(1 point)
Responses
the density of air
the density of air
the direction of air currents
the direction of air currents
the convection pattern
the convection pattern
the wind direction
11 answers
Which phrase describes evidence?(1 point)
Responses
an opinion formed based on facts
an opinion formed based on facts
a statement put forth in support of an argument
a statement put forth in support of an argument
specific information that supports an idea
specific information that supports an idea
reasons to support a claim
Which phrase describes the purpose of reasons in a persuasive essay?(1 point)
Responses
to express an opinion
to express an opinion
to show how ideas connect
to show how ideas connect
to support a claim
to support a claim
to prove evidence
3 of 33 of 3 Items
Question
Clayton wants his grandparents to let him start weightlifting at the local gym. They have concerns about safety, so he wants to persuade them that it is safe. Which of the following statements describes evidence that Clayton might offer in support of his argument?(1 point)
Responses
Clayton’s baseball coach thinks his team would benefit from some weight training.
Clayton’s baseball coach thinks his team would benefit from some weight training.
Research results show that weightlifting is no more dangerous than many team sports that adolescents regularly play.
Research results show that weightlifting is no more dangerous than many team sports that adolescents regularly play.
Clayton’s grandparents are concerned that he is spending too much of his free time playing computer games.
Clayton’s grandparents are concerned that he is spending too much of his free time playing computer games.
Clayton has saved up the money for three months of a membership at the gym.
Responses
an opinion formed based on facts
an opinion formed based on facts
a statement put forth in support of an argument
a statement put forth in support of an argument
specific information that supports an idea
specific information that supports an idea
reasons to support a claim
Which phrase describes the purpose of reasons in a persuasive essay?(1 point)
Responses
to express an opinion
to express an opinion
to show how ideas connect
to show how ideas connect
to support a claim
to support a claim
to prove evidence
3 of 33 of 3 Items
Question
Clayton wants his grandparents to let him start weightlifting at the local gym. They have concerns about safety, so he wants to persuade them that it is safe. Which of the following statements describes evidence that Clayton might offer in support of his argument?(1 point)
Responses
Clayton’s baseball coach thinks his team would benefit from some weight training.
Clayton’s baseball coach thinks his team would benefit from some weight training.
Research results show that weightlifting is no more dangerous than many team sports that adolescents regularly play.
Research results show that weightlifting is no more dangerous than many team sports that adolescents regularly play.
Clayton’s grandparents are concerned that he is spending too much of his free time playing computer games.
Clayton’s grandparents are concerned that he is spending too much of his free time playing computer games.
Clayton has saved up the money for three months of a membership at the gym.
-
The phrase that describes evidence is:
specific information that supports an idea. -
The phrase that describes the purpose of reasons in a persuasive essay is:
to support a claim. -
The statement that describes evidence that Clayton might offer in support of his argument is:
Research results show that weightlifting is no more dangerous than many team sports that adolescents regularly play.
Graph of a Function Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
Question
Use the image to answer the question.
A line graph shows number of products sold versus profit per product sold in dollars. The x-axis represents number of products sold, ranging from 0 to 500 in increments of 100. The y-axis shows the profit per product sold in dollars ranging from 0 to 40 in increments of 10. A smooth curve is plotted on the graph that passes through the following approximate points left parenthesis 0 comma 0 right parenthesis, left parenthesis 100 comma 20 right parenthesis, left parenthesis 300 comma 34 right parenthesis, left parenthesis 400 comma 30 right parenthesis, and left parenthesis 500 comma 25 right parenthesis.
The given graph represents the relationship between the profit per product sold versus the total number of products sold in a business model. To achieve the maximum profit per product sold, how many products does this business need to sell?
(1 point)
To achieve the maximum profit per product sold, this business will need to sell
____ products.
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
Question
Use the image to answer the question.
A line graph shows number of products sold versus profit per product sold in dollars. The x-axis represents number of products sold, ranging from 0 to 500 in increments of 100. The y-axis shows the profit per product sold in dollars ranging from 0 to 40 in increments of 10. A smooth curve is plotted on the graph that passes through the following approximate points left parenthesis 0 comma 0 right parenthesis, left parenthesis 100 comma 20 right parenthesis, left parenthesis 300 comma 34 right parenthesis, left parenthesis 400 comma 30 right parenthesis, and left parenthesis 500 comma 25 right parenthesis.
The given graph represents the relationship between the profit per product sold versus the total number of products sold in a business model. To achieve the maximum profit per product sold, how many products does this business need to sell?
(1 point)
To achieve the maximum profit per product sold, this business will need to sell
____ products.
To determine the number of products that needs to be sold to achieve the maximum profit per product sold, we can analyze the points on the curve provided in the description.
From the points you mentioned:
- (0, 0)
- (100, 20)
- (300, 34)
- (400, 30)
- (500, 25)
The maximum profit per product sold occurs at the highest point on the curve. From the points, we can see that the maximum profit per product sold is 34 dollars at the point (300, 34).
Therefore, to achieve the maximum profit per product sold, this business will need to sell 300 products.
Which of the following is a point on the graph as described by the function y=(2x+1) to the power of 2 −4
?(1 point)
Responses
(−1,−3)
left parenthesis negative 1 comma negative 3 right parenthesis
(0,−2)
left parenthesis 0 comma negative 2 right parenthesis
(−1,−5)
left parenthesis negative 1 comma negative 5 right parenthesis
(1,2)
?(1 point)
Responses
(−1,−3)
left parenthesis negative 1 comma negative 3 right parenthesis
(0,−2)
left parenthesis 0 comma negative 2 right parenthesis
(−1,−5)
left parenthesis negative 1 comma negative 5 right parenthesis
(1,2)
To find out which of the given points is on the graph of the function \( y = (2x + 1)^2 - 4 \), we can evaluate the function for each x-coordinate provided in the points and see which one yields the corresponding y-coordinate.
-
For \( (-1, -3) \): \[ y = (2(-1) + 1)^2 - 4 = (-2 + 1)^2 - 4 = (-1)^2 - 4 = 1 - 4 = -3 \] So, this point is on the graph.
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For \( (0, -2) \): \[ y = (2(0) + 1)^2 - 4 = (0 + 1)^2 - 4 = (1)^2 - 4 = 1 - 4 = -3 \] So, this point is not on the graph.
-
For \( (-1, -5) \): \[ y = (2(-1) + 1)^2 - 4 = (-2 + 1)^2 - 4 = (-1)^2 - 4 = 1 - 4 = -3 \] So, this point is not on the graph.
-
For \( (1, 2) \): \[ y = (2(1) + 1)^2 - 4 = (2 + 1)^2 - 4 = (3)^2 - 4 = 9 - 4 = 5 \] So, this point is not on the graph.
The only point that is on the graph is: (−1,−3).
Which of the following is the graph of the function y=x+2
?(1 point)
Responses
An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 5 to 5 in one unit increments. A parabola opening upward is graphed on the coordinate plane. The parabola is formed by connecting points plotted at left parenthesis negative 4 comma 2 right parenthesis, left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.
Image with alt text: An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 5 to 5 in one unit increments. A parabola opening upward is graphed on the coordinate plane. The parabola is formed by connecting points plotted at left parenthesis negative 4 comma 2 right parenthesis, left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.
An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis 0 comma 2 right parenthesis and left parenthesis 2 comma 0 right parenthesis.
Image with alt text: An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis 0 comma 2 right parenthesis and left parenthesis 2 comma 0 right parenthesis.
An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.
Image with alt text: An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.
An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. A circle is graphed on the coordinate plane. The circle is formed by connecting points plotted at left parenthesis negative 2 comma 0 right parenthesis, left parenthesis 0 comma 2 right parenthesis, and left parenthesis 2 comma 0 right parenthesis.
Image with alt text: An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. A circle is graphed on the coordinate plane. The circle is formed by connecting points plotted at left parenthesis negative 2 comma 0 right parenthesis, left parenthesis 0 comma 2 right parenthesis, and left parenthesis 2 comma 0 right parenthesis.
Skip to navigation
?(1 point)
Responses
An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 5 to 5 in one unit increments. A parabola opening upward is graphed on the coordinate plane. The parabola is formed by connecting points plotted at left parenthesis negative 4 comma 2 right parenthesis, left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.
Image with alt text: An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 5 to 5 in one unit increments. A parabola opening upward is graphed on the coordinate plane. The parabola is formed by connecting points plotted at left parenthesis negative 4 comma 2 right parenthesis, left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.
An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis 0 comma 2 right parenthesis and left parenthesis 2 comma 0 right parenthesis.
Image with alt text: An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis 0 comma 2 right parenthesis and left parenthesis 2 comma 0 right parenthesis.
An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.
Image with alt text: An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.
An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. A circle is graphed on the coordinate plane. The circle is formed by connecting points plotted at left parenthesis negative 2 comma 0 right parenthesis, left parenthesis 0 comma 2 right parenthesis, and left parenthesis 2 comma 0 right parenthesis.
Image with alt text: An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. A circle is graphed on the coordinate plane. The circle is formed by connecting points plotted at left parenthesis negative 2 comma 0 right parenthesis, left parenthesis 0 comma 2 right parenthesis, and left parenthesis 2 comma 0 right parenthesis.
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The function \( y = x + 2 \) represents a linear equation with a slope of 1 and a y-intercept at 2. This means the line will be upward slanting, passing through the points where \( x = 0 \) (giving \( y = 2 \)) and \( x = -2 \) (giving \( y = 0 \)), among others.
Given the descriptions of the graphs:
-
The first option describes a parabola, which does not represent the function \( y = x + 2 \).
-
The second option describes a downward slanting line passing through points at (0, 2) and (2, 0), which does not match the positive slope of \( y = x + 2 \).
-
The third option describes an upward slanting line passing through points at (-2, 0) and (0, 2). This correctly represents the function \( y = x + 2 \).
-
The fourth option describes a circle, which does not represent the function \( y = x + 2 \).
Therefore, the correct graph representing the function \( y = x + 2 \) is:
The third option: An upward slanting line that passes through points (-2, 0) and (0, 2).
Graph of a Function Quick Check
3 of 53 of 5 Items
Question
Use the image to answer the question.
A line graph shows months of the year versus average rainfall. The x-axis represents month of the year, ranging from January to December. The y-axis shows the average rainfall in inches ranging from 0 to 4 in increments of 1. A curve is plotted on the graph that passes through the following approximate points left parenthesis January comma 2.3 right parenthesis, left parenthesis February comma 2 right parenthesis, left parenthesis March comma 2 right parenthesis, left parenthesis April comma 0.6 right parenthesis, left parenthesis May comma 0.6 right parenthesis, June comma 0.2 right parenthesis, left parenthesis July comma 0.45 right parenthesis, left parenthesis August comma 0.55 right parenthesis, left parenthesis September comma 0.7 right parenthesis, left parenthesis October comma 1.6 right parenthesis, left parenthesis November comma 2.4 right parenthesis, and left parenthesis December comma 3.2 right parenthesis.
Which of the following are the two quantities whose functional relationship is described in the given graph?
(1 point)
Responses
The two quantities are the average rainfall in inches and the years.
The two quantities are the average rainfall in inches and the years.
The two quantities are the x
-values and the y
-values.
The two quantities are the x -values and the y -values.
The two quantities are the average rainfall in inches and the month of the year.
The two quantities are the average rainfall in inches and the month of the year.
The two quantities are inches and months of the year.
A line graph shows months of the year versus average rainfall. The x-axis represents month of the year, ranging from January to December. The y-axis shows the average rainfall in inches ranging from 0 to 4 in increments of 1. A curve is plotted on the graph that passes through the following approximate points left parenthesis January comma 2.3 right parenthesis, left parenthesis February comma 2 right parenthesis, left parenthesis March comma 2 right parenthesis, left parenthesis April comma 0.6 right parenthesis, left parenthesis May comma 0.6 right parenthesis, June comma 0.2 right parenthesis, left parenthesis July comma 0.45 right parenthesis, left parenthesis August comma 0.55 right parenthesis, left parenthesis September comma 0.7 right parenthesis, left parenthesis October comma 1.6 right parenthesis, left parenthesis November comma 2.4 right parenthesis, and left parenthesis December comma 3.2 right parenthesis.
Consider the given graph. Analyze the intervals during the months from June to December and describe how that corresponds to the average rainfall.
(1 point)
Responses
the average rainfall remains constant
the average rainfall remains constant
the average rainfall increases then decreases
the average rainfall increases then decreases
the average rainfall decreases
the average rainfall decreases
the average rainfall increases
the average rainfall increases
Question
Use the image to answer the question.
A line graph shows months of the year versus average rainfall. The x-axis represents month of the year, ranging from January to December. The y-axis shows the average rainfall in inches ranging from 0 to 4 in increments of 1. A curve is plotted on the graph that passes through the following approximate points left parenthesis January comma 2.3 right parenthesis, left parenthesis February comma 2 right parenthesis, left parenthesis March comma 2 right parenthesis, left parenthesis April comma 0.6 right parenthesis, left parenthesis May comma 0.6 right parenthesis, June comma 0.2 right parenthesis, left parenthesis July comma 0.45 right parenthesis, left parenthesis August comma 0.55 right parenthesis, left parenthesis September comma 0.7 right parenthesis, left parenthesis October comma 1.6 right parenthesis, left parenthesis November comma 2.4 right parenthesis, and left parenthesis December comma 3.2 right parenthesis.
Based on the given graph, which month of the year has the lowest amount of average rainfall, and what is that amount of rainfall?
(1 point)
Responses
June has the lowest amount of rainfall at about 2 inches.
June has the lowest amount of rainfall at about 2 inches.
December has the lowest amount of rainfall at about 3.2 inches.
December has the lowest amount of rainfall at about 3.2 inches.
June has the lowest amount of rainfall at about 0.2 inch.
June has the lowest amount of rainfall at about 0.2 inch.
April has the lowest amount of rainfall at about 0.6 inch.
April has the lowest amount of rainfall at about 0.6 inch.
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3 of 53 of 5 Items
Question
Use the image to answer the question.
A line graph shows months of the year versus average rainfall. The x-axis represents month of the year, ranging from January to December. The y-axis shows the average rainfall in inches ranging from 0 to 4 in increments of 1. A curve is plotted on the graph that passes through the following approximate points left parenthesis January comma 2.3 right parenthesis, left parenthesis February comma 2 right parenthesis, left parenthesis March comma 2 right parenthesis, left parenthesis April comma 0.6 right parenthesis, left parenthesis May comma 0.6 right parenthesis, June comma 0.2 right parenthesis, left parenthesis July comma 0.45 right parenthesis, left parenthesis August comma 0.55 right parenthesis, left parenthesis September comma 0.7 right parenthesis, left parenthesis October comma 1.6 right parenthesis, left parenthesis November comma 2.4 right parenthesis, and left parenthesis December comma 3.2 right parenthesis.
Which of the following are the two quantities whose functional relationship is described in the given graph?
(1 point)
Responses
The two quantities are the average rainfall in inches and the years.
The two quantities are the average rainfall in inches and the years.
The two quantities are the x
-values and the y
-values.
The two quantities are the x -values and the y -values.
The two quantities are the average rainfall in inches and the month of the year.
The two quantities are the average rainfall in inches and the month of the year.
The two quantities are inches and months of the year.
A line graph shows months of the year versus average rainfall. The x-axis represents month of the year, ranging from January to December. The y-axis shows the average rainfall in inches ranging from 0 to 4 in increments of 1. A curve is plotted on the graph that passes through the following approximate points left parenthesis January comma 2.3 right parenthesis, left parenthesis February comma 2 right parenthesis, left parenthesis March comma 2 right parenthesis, left parenthesis April comma 0.6 right parenthesis, left parenthesis May comma 0.6 right parenthesis, June comma 0.2 right parenthesis, left parenthesis July comma 0.45 right parenthesis, left parenthesis August comma 0.55 right parenthesis, left parenthesis September comma 0.7 right parenthesis, left parenthesis October comma 1.6 right parenthesis, left parenthesis November comma 2.4 right parenthesis, and left parenthesis December comma 3.2 right parenthesis.
Consider the given graph. Analyze the intervals during the months from June to December and describe how that corresponds to the average rainfall.
(1 point)
Responses
the average rainfall remains constant
the average rainfall remains constant
the average rainfall increases then decreases
the average rainfall increases then decreases
the average rainfall decreases
the average rainfall decreases
the average rainfall increases
the average rainfall increases
Question
Use the image to answer the question.
A line graph shows months of the year versus average rainfall. The x-axis represents month of the year, ranging from January to December. The y-axis shows the average rainfall in inches ranging from 0 to 4 in increments of 1. A curve is plotted on the graph that passes through the following approximate points left parenthesis January comma 2.3 right parenthesis, left parenthesis February comma 2 right parenthesis, left parenthesis March comma 2 right parenthesis, left parenthesis April comma 0.6 right parenthesis, left parenthesis May comma 0.6 right parenthesis, June comma 0.2 right parenthesis, left parenthesis July comma 0.45 right parenthesis, left parenthesis August comma 0.55 right parenthesis, left parenthesis September comma 0.7 right parenthesis, left parenthesis October comma 1.6 right parenthesis, left parenthesis November comma 2.4 right parenthesis, and left parenthesis December comma 3.2 right parenthesis.
Based on the given graph, which month of the year has the lowest amount of average rainfall, and what is that amount of rainfall?
(1 point)
Responses
June has the lowest amount of rainfall at about 2 inches.
June has the lowest amount of rainfall at about 2 inches.
December has the lowest amount of rainfall at about 3.2 inches.
December has the lowest amount of rainfall at about 3.2 inches.
June has the lowest amount of rainfall at about 0.2 inch.
June has the lowest amount of rainfall at about 0.2 inch.
April has the lowest amount of rainfall at about 0.6 inch.
April has the lowest amount of rainfall at about 0.6 inch.
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-
The correct response for the two quantities that describe the functional relationship in the given graph is:
The two quantities are the average rainfall in inches and the month of the year. -
The correct response analyzing the intervals during the months from June to December is:
the average rainfall increases.
(From June at 0.2 inches, it increases to 3.2 inches in December.) -
Based on the given graph, the month of the year with the lowest amount of average rainfall and the amount is:
June has the lowest amount of rainfall at about 0.2 inch.
90 answers