A. The point (3.5, 210) is on the graph. Explain what this means in terms of the car.
B. Is the point (1, 60) on this graph? Yes or no. Explain how you know
Answers
Answer/Step-by-step explanation:
A. The point (3.5, 210) on the graph means the car travelled a distance of 210 miles, at constant speed, for 3.5 hours.
B. To find out if the point (1, 60) is on the line, first, calculate the slope of the line (rate of change), and then find the rate of change between the point (1, 60) and the point (3.5, 210). If you get the same value as the slope of the line, it definitely means (1, 60) is a point of the graph.
Calculating slope of the line using (3.5, 210) and (5, 300):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{300 - 210}{5 - 3.5} [/tex]
[tex] slope(m) = \frac{90}{1.5} [/tex]
[tex] slope(m) = 60 [/tex]
Calculating the rate of change (slope) between (1, 60) and (3.5, 210):
[tex] = \frac{y_2 - y_1}{x_2 - x_1} = \frac{210 - 60}{3.5 - 1} [/tex]
[tex] = \frac{150}{2.5} = 60 [/tex]
Rate of change (slope) = 60
Since the average rate of change between (1, 60) and the given point on the graph, (3.5, 210), is the same as the slope of the graph, therefore the point (1, 60) is a point on the graph also.
The answer is, YES.
Related Questions
You are making picnic baskets. The list shows the items you are putting into the baskets. You want identical groups of items in each basket with no items left over. What is the greatest number of picnic baskets you can make? 32 sandwiches 40 granola bars 48 apples
Answers
Answer:
8 picnic baskets
Step-by-step explanation:
We are told in the question we have :
32 sandwiches
40 granola bars
48 apples
The greatest number of picnic baskets we can have is calculated using greatest common factor method
The factors are:
The factors of 32 are: 1, 2, 4, 8, 16, 32
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Then the greatest common factor is 8.
Therefore, the greatest number of picnic baskets you can make is 8 picnic baskets.
Step-by-step explanation
We are told in the question we have :
32 sandwiches
40 granola bars
48 apples
-10w + 12 = -9w + 13
What value of w makes the equation true?
Answers
I need help with step 3
Answers
[tex]f(x) = ( \frac{1}{4} ) {}^{x} [/tex]
[tex]f(0) = ( \frac{1}{4} ) {}^{0} [/tex]
[tex]f(0) = 1[/tex]
[tex]f(1) = ( \frac{1}{4} ) {}^{1} [/tex]
[tex]f(1) = \frac{1}{4} [/tex]
[tex]f(2) = ( \frac{1}{4} ) {}^{2} [/tex]
[tex]f(2) = \frac{1}{16} [/tex]
#IfWrongPleaseReport
would u expect the product of 43.5 and 1.0001 to be greater than or less that 1 or equal to 43.5
Answers
Answer:
Greater
Step-by-step explanation:
since it has a 0.0001 and not just 1 its greater 43.5
The sum of two consecutive integers is 245 what is the smaller integer?
Answers
Answer:
122 is the smaller integer
Step-by-step explanation:
n = the smaller integer
n+1 is the larger integer
122+(122+1) = 245
show work
only do those
32,34,36,38,40
Answers
Answer: see below
Step-by-step explanation:
[tex]32)\quad \dfrac{3}{5}(x-12)>x-24[/tex]
3(x - 12) > 5(x - 24)
3x - 36 > 5x - 120
-5x -5x
-2x - 36 > -120
+36 +36
-2x > -84
÷ -2 ↓ ÷ -2
x < 42
Graph: ←------------o
42
34) 6[5y - (3y - 1)] ≥ 4(3y - 7)
6[5y - 3y + 1] ≥ 4(3y - 7)
6{2y + 1] ≥ 4(3y - 7)
12y + 6 ≥ 12y - 28
-12y -12y
6 ≥ -28
TRUE so the solution is All Real Numbers
Graph: ←-----------------------→
36) BC + AC > AB
4 + 8 - AB > AB
12 - AB > AB
+AB +AB
12 > 2AB
÷2 ÷2
6 > AB
AB < 6
[tex]38)\quad \dfrac{1}{2}(y-16)\geq y+2\quad ;\text{claim}\ y\leq 20[/tex]
Check: let y = 16
then [tex]\frac{1}{2}[/tex](16 - 16) ≥ 16 + 2
0 ≥ 18
FALSE so the claim is wrong
40) question not provided in the image so I cannot give a solution.
About 12 weeks ago, there were 21 mold spores found in a garden. After a few weeks of observation, it is determined that the number of mold spores in the garden is tripling every 6 weeks. The number of mold spores, M, at any given time in the garden is equal to the product of the initial amount of spores, I, and 3 to the power of n, where n is the number of times the amount of mold spores has tripled. How many mold spores are in the garden today?
Answers
Answer:
189 spores
Step-by-step explanation:
The number of mold spores triple every 6 weeks. So in 12 weeks, it has tripled twice.
Given that:
M = I x [tex]3^{n}[/tex]
where M is the number of mold spore, I is the initial amount of spores, and n is the number of times the amount of mold spores has tripled.
Since, I = 21 and n = 2, we have;
M = 21 x [tex]3^{2}[/tex]
= 21 x 9
= 189
There would be 189 spores in the garden today.
Car Survey In a survey of 3,200 people who owned a certain type of car, 1,120 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
Step-by-step explanation:
67.5 Divided by 2.25 show work please:(!!
Answers
Answer:
The right answer for your question is 30 because if you divide 67.5 by 2.25 then,the quotient would be 30.
Hope it helps you.
The required solution will be 30 which is determined by 67.5 divided by 2.25.
What is the division operation?The basic arithmetic operations are division, multiplication (the opposite of division), addition, and subtraction. Arithmetic operations are methods for combining integers to generate new numbers. The division is defined as the number of times a given number is divided by another number.
67.5 Divided by 2.25
67.5 ÷ 2.25
Convert the dividend and divisor to integers by multiplying each by 100, making them 6750 and 225 respectively.
⇒ 6750 / 225
Apply the division operation, and we get
⇒ 30
Thus, the required solution will be 30 which is determined by 67.5 divided by 2.25.
To learn more about the division operation click here :
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hey lol i need help with this plz
Answers
Answer:
The first line shows the solutions to n > 0.
The open circle and shaded part after the 0 indicate that n > 0 is represented by the first line.
Answer:
It's the first one aka A.
Step-by-step explanation:
It's the first one bc it shows greater than. The second one shows n is = to or greater, 3rd one shows less than, and last one shows = to or lesser. So in other words, the correct answer would be A.
PLZ HELP
In this project, you will be designing three graphs based on information given to you in tables. You must organize the information into graphs and make them clear and understandable. There are two sections included in this assignment. The first section provides instruction for designing three graphs using paper and pencil. The second section is provided with instruction for designing the three graphs using the Microsoft© Excel© application. You only need to do one or the other. The advantage of using the Excel application is that you will have electronic copies that may be sent using the upload button provided in the first section. It also provides practice using technology in a practical way.
For help on the graphs, go back and read the section in your lesson on graphing. The second section provides tutorials that will be very helpful in designing your graphs.
Answers
Answer:When planning your writing, it is important to consider the best way to communicate information to your audience, especially if you plan to use data in the form of numbers, words, or images that will help you construct and support your argument. Generally speaking, data summaries may take the form of text, tables or figures. Most writers are familiar with textual data summaries and this is often the best way to communicate simple results. A good rule of thumb is to see if you can present your results clearly in a sentence or two. If so, a table or figure is probably unnecessary. If your data are too numerous or complicated to be described adequately in this amount of space, figures and tables can be effective ways of conveying lots of information without cluttering up your text. Additionally, they serve as quick references for your reader and can reveal trends, patterns, or relationships that might otherwise be difficult to grasp.
So what’s the difference between a table and a figure anyway?
Tables present lists of numbers or text in columns and can be used to synthesize existing literature, to explain variables, or to present the wording of survey questions. They are also used to make a paper or article more readable by removing numeric or listed data from the text. Tables are typically used to present raw data, not when you want to show a relationship between variables.
Figures are visual presentations of results. They come in the form of graphs, charts, drawings, photos, or maps. Figures provide visual impact and can effectively communicate your primary finding. Traditionally, they are used to display trends and patterns of relationship, but they can also be used to communicate processes or display complicated data simply. Figures should not duplicate the same information found in tables and vice versa.
Using tables
Tables are easily constructed using your word processor’s table function or a spread sheet program such as Excel. Elements of a table include the Legend or Title, Column Titles, and the Table Body (quantitative or qualitative data). They may also include subheadings and footnotes. Remember that it is just as important to think about the organization of tables as it is to think about the organization of paragraphs. A well-organized table allows readers to grasp the meaning of the data presented with ease, while a disorganized one will leave the reader confused about the data itself, or the significance of the data.
Title: Tables are headed by a number followed by a clear, descriptive title or caption. Conventions regarding title length and content vary by discipline. In the hard sciences, a lengthy explanation of table contents may be acceptable. In other disciplines, titles should be descriptive but short, and any explanation or interpretation of data should take place in the text. Be sure to look up examples from published papers within your discipline that you can use as a model. It may also help to think of the title as the “topic sentence” of the table—it tells the reader what the table is about and how it’s organized. Tables are read from the top down, so titles go above the body of the table and are left-justified.
Column titles: The goal of column headings is to simplify and clarify the table, allowing the reader to understand the components of the table quickly. Therefore, column titles should be brief and descriptive and should include units of analysis.
Table body: This is where your data are located, whether they are numerical or textual. Again, organize your table in a way that helps the reader understand the significance of the data. Be sure to think about what you want your readers to compare, and put that information in the column (up and down) rather than in the row (across). In other words, construct your table so that like elements read down, not across. When using numerical data with decimals, make sure that the decimal points line up. Whole numbers should line up on the right.
Other table elements
Tables should be labeled with a number preceding the table title; tables and figures are labeled independently of one another. Tables should also have lines demarcating different parts of the table (title, column headers, data, and footnotes if present). Gridlines or boxes should not be included in printed versions. Tables may or may not include other elements, such as subheadings or footnotes.
Quick reference for tables
Tables should be:
Centered on the page.
Numbered in the order they appear in the text.
Referenced in the order they appear in the text.
Labeled with the table number and descriptive title above the table.
Labeled with column a
Step-by-step explanation:
A recipe calls for 4 cups of flour to 6 tablespoons of shortening. How many tablespoons of shortening are needed for 6 cups of flour?
Answers
Answer:
8 tablespoons of shortening
Step-by-step explanation:
mathhhh
For art class, each student
is going to make a piñata using pound of
paste. The art teacher bought 20 pounds of
paste. Which equation can be used to determine
the number of students that can make piñatas?
A. (n = 20
20
B. 4 = 20
D. 2n = 20
n =
Answers
Answer:
s=25
Step-by-step explanation:
Help plz!!!!!!!!!!!!!!!!!
Answers
Answer:
5
Step-by-step explanation:
w-3=-2
first you need to figure out what w stands for
I just started plugging in numbers starting from 1 and when I got to 5 the number fit.
I need help with this question.
|y + 4| < 1 solve
Answers
Answer:
-5<y<-3
Step-by-step explanation:
Given m ||n, find the value of x.
(x+14)
mm
(9x-40°
Answers
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Answer:
17
Step-by-step explanation:
What is another fraction besides 2/5 that is equivalent to the decimal 0.4?
Answers
Answer:
4/9
Step-by-step explanation:
3.46x + 6.38 = -4 the answer
Answers
Answer:
x = -3
Step-by-step explanation:
start with 3.46x + 6.38 = -4. Then take away 6.38 from both sides to get 3.46x=-10.38. Then you divide both sides by 3.46 to get x = -3.
What expressions are equivalent to 10^-5x10^2
Answers
See attachment for math work and answer.
What is the length of each leg of the triangle below?
A. Square root of 11
B. Square root of 22
C. 1
D. Square root of 11 and 2
E. 11
F. 15
Answers
A. square root of 11 is it
The required length of the legs of triangle is 11√2. Option D is correct.
From figure
Hypotenuse = 22
Angles of leg = 45°
The triangle is geometric shape which includes 3 sides and sum of interior angle equal to 180°.
Let the length of the legs be x
sin45 = perpendicular/Hypotenuse
1/√2 = x/22
x = 11√2
Thus, the required length of the legs of triangle is 11√2.
Get more information about triangles here:
https://brainly.com/question/2773823
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Bags of cat food can be
purchased in the sizes shown.
Drag the bags to the boxes to
order them based on their price per ounce
Answers
Answer:
(72 oz. $17.99)------------>Least expensive
(32 oz. $7.32)------------>middle
(48 oz. $9.60)------------>most expensive
Step-by-step explanation:
Once you understand how to do it, it's easy!
Just divide the ounces by the price to findout the cost
72 ÷ 17.99 = 4.00
32 ÷ 7.32 = 4.37
48 ÷ 9.60 = 5.00
4.00 < 4.37 < 5.00
Least, Middle, most
Good Job! Pls Brainliest! ;)
someone help please
the options are
1. y = 2x + 4
2. y = 1/2 x + 4
3. y = -1/2x + 4
4. y = -2x + 4
Answers
Answer:
2. y = 1/2x + 4
Step-by-step explanation:
This is the only equation that moves in a positive slope the way the graph shows it, hope this helps.
x 12 = 6 10 give your answer as an improper fraction in its simplest form.
Answers
Answer:
41/6
Step-by-step explanation:
Take the root of both sides and solve.
I don't get this...
Answers
Answer: The answer is D. 17.9
Step-by-step explanation: Use the equation [tex]c = \sqrt{a^2 +b^2}[/tex] where c represents the triangles hypotenuse and a and b represent the legs of the triangle.
I hope this helps have a great day!
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So first you should remember that....
[tex]a^{2} +b^{2} =c^{2}[/tex]
then you should plug in...
[tex]8^{2}+16^{2}[/tex]
that should equal...
[tex]c^{2}=320[/tex]
Then you should solve the equation now by doing the inverse of the square which is the square root of both sides...
[tex]\sqrt{c^{2} } =\sqrt{320}[/tex]
[tex]c=17.88854382...[/tex]
Then you have to round it to the nearest tenths, which'll give you...
[tex]17.9[/tex]
choice D
11 is what percent of 41?
Answers
Ron Alotte and Dee Selerate ran a 20 km. Race. Dee made three 10 minute stops during the race to fix her shoes and rest and yet the two racers finished in a tie. If Ron ran the race at a constant speed of 8 km. Per hour, find Dee's average speed when running.
Answers
Answer:
10km/hr
Step-by-step explanation:
Given that:
Distance covered by both Dee and Ron= 20km
Ron's speed = 8km/hr
Dee made three 10 minute stops during the race.
Time it took Ron to cover 20km
Time = distance / speed
20km / 8km/hr = 2.5 hours = 150 minutes
Since they both tied ;
Running time of Dee = (150 - (3*10)) = 120 minutes = 2 hours
Ron's speed = distance / time
Speed = 20 km / 2hours
Speed = 10km/hr
A pattern has 9 triangles and 30 squares on a piece of paper. What is
the ratio of triangles to squares?
Answers
Answer:
9:30
Step-by-step explanation:
IM BUILT DIFFERENT
If y° and 150° form a linear pair , then y° ?
Answers
Answer:
Y=30
Step-by-step explanation:
we know that Y+150=180 as it is a linear pair
so, Y= 108-150
which will be 30
Needing a answer ASAP! TYYY
Answers
Answer: 840 feet squared
Step-by-step explanation: 24ft * 35ft = 840
(Hope it helps)
When a question asks you to "Explain", what are you expected to do
AND
Answers
Answer:
they want to tell you why the answer is what it is
Step-by-step explanation:
Answer:
They are asking you "how" you managed to get your answer
Step-by-step explanation:
say the question is 5×5=25 and the question say Explain;"well if you add 5+5+5+5+5 is equals 25"