Answers
The required equation of slope is y = x/2 + 6
Given : y = 3x + 6
this is of the form y = mx + c
thus on comparing we get
the slope or m = 3
And the y intercept = 0, 6
It is also given that we have to find the equation of the slope which passes through the point ( -2, 5 )
thus the two points are:
( -2, 5 ) and ( 0,6 )
Thus the slope or m = y2 - y1/ x2 - x1
=> m = 6 - 5 / - ( -2 )
m = 1/ 2
Thus the equation of the slope is
y - y₁ = m ( x - x₁ )
₁Substituting the value of m from above we get
y - 5 = 1/2 ( x + 2 )
this implies 2y - 10 = x + 2
x - 2y = - 12
or we can also write this as
y = x/2 + 6
Refer to the graph given below for further understanding.
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Related Questions
You work in Social Media as a consultant. You are working on a new report to examine trends in Social Media usage and age. You conducted a survey of 1072 people randomly selected in the United States (you limited minimum age to 12). The file "Usagef.xlsx" has results of the survey. For each Social Media platform you have a 0/1 variable indicating whether or not the person said they used the platform in the last 6 months. For each of those variables, 1 means the person did use the platform in the last 6 months and 0 means they did not. You also have the age of each respondent calculated based on birth date (so 43.56 means the individual is 43.56 years old). There are two additional variables:
Young adult: 1=respondent is under 35; 0=respondent is 35 or over.
Platforms Used: The total number of Social Media platforms used in the last 6 months.
Please use this information and the data in the excel spreadsheet "Usagef.xlsx" to answer the following questions:
Assuming the sample is a random sample of the U.S. population, what is the upper bound of the 95% confidence interval for the average age in the U.S?
Answers
The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.
Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.
Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.
Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
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here are 5 airplanes ready to depart. runway a and runway d are available. how many ways can 2 planes be assigned to runways without using the same runway?
Answers
Hence, the number of ways be assigned to runways without using the same runway is \(240\) ways.
What is the permutation?
The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged.
Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged.
Here given that,
Here are five airplanes ready to depart. runway \(A\) and runway \(D\) are available.
Number of ways to assign \(3\) planes to that runway is
\(^5C_3=^5C_2=10ways\)
Then for each group
Each group of three planes can be arranged in \(^3P_3=3!=6ways\)
Each group of three planes can be arranged in \(^2P_2=2!=2ways\)
So total number of arrangements are
\((2)(10)(6)(2)=240ways\)
Hence, the number of ways be assigned to runways without using the same runway is \(240\) ways.
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Move point b some more as you move point b the angle formed between ab and cd varies if you want to make an perpendicular to cd what do you need to do explain in terms of BEC
Answers
Answer:
Following are the response to the given question:
Step-by-step explanation:
Move b a bit further if the angle between cd and ab changes when you move b if you want to make a perpendicular point to cd The angle BEC is 90 ° for making the AB line perpendicular to the line CD to transfer point B to the angle between the two lines.
marlena is making her own beaded bracelets. each bracelet will have 10 beads. write a function to describe the number of beads she will use. find a reasonable domain and range for the function if she makes up to 7 bracelets.
Answers
Answer:
number of beads to be made x 10
x×10=
Aaron's goal is to read an average (mean) of 26 pages per day for 6 days. During the first 5 days, he reads 23 pages per day. How many pages must he read on the 6th day to reach his goal
A. 26
B. 19
Answers
Aaron has to read 41 pages on the 6th day to reach his goal.
What is the speed of reading?
Any of the many methods that promise to increase one's reading speed include speed reading. Chunking is one speed-reading technique, as is reducing subvocalization. The many available speed-reading training programs may utilize books, videos, software, and seminars.
We have,
26 pages per day for 6 days:
26×6=156,
So Aaron should read 156 pages by the 6th day to reach his goal,
During the first 5 days, he reads 23 pages per day then,
23 × 5 = 115
That’s how many pages he’s already read.
156-115=41
Hence, Aaron has to read 41 pages on the 6th day to reach his goal.
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Ms. Cross’s fifth-grade class was planning a bake sale to make money for new equipment for the school grounds. Maia said, “Let’s all bring some cookies to sell.”
Jared put up his hand, “What if we sold bread? It is something almost everyone likes and we could make a variety of kinds.”
Josie added, “Why don’t we bring different breads that our families enjoy?”
Ms. Cross said, “What a great idea! You could each choose bread you would like to make. Some of you may want to work in pairs or teams along with an adult to help with the baking. Wash all the equipment you use so it will be sanitary.”
Sophia said, “This is an important project, and our project has a better chance to succeed if we choose a good location.”
Juan suggested setting up a table in front of the big grocery store near the school. The class started making plans. Because there would be customers, everyone could work a one-hour shift as a salesperson.
Ms. Cross reminded students that they would have to set a price for their breads and mark the prices on them, so Maddie suggested that a committee go to grocery stores to take notes about the cost of bread. Another committee could find a long table, and other students were needed to get cards and markers to use for labeling.
Jake said, “Are we sure we want all this work?”
Tim said, “Of course we do! We need new soccer balls and other things too, and this is the only way we’ll get them. The exertion will make us tired, but it will be worth it.”
So they all agreed to help. Everyone got busy checking recipes for what they needed for ingredients. Since they would need advice on some things, they had to enlist relatives to help them.
Liane loved the mantou, or steamed buns, that her grandmother learned to make in China before coming to America. Her grandmother offered to help her make a batch early Saturday morning so they would be fresh. When Liane got to her grandmother’s house, the dough of water, a little sugar, yeast, and flour was mixed and rising. The yeast in the dough would make it rise. Grandmother told her to punch the dough down. Then they covered it and let it rise again. After about 20 minutes, Grandmother showed Liane how to knead the dough and shape it into rolls. They boiled water and placed the rolls in the steamer. In 10 minutes, the first batch of buns was cooked. They looked perfect, and Liane was proud of them.
When Liane got to the bake sale, several classmates were already there. Mauricio showed her the Cuban bread his grandfather had helped him make. He had started it with yeast, warm water, and flour like the steamed buns. The dough had to rest in the refrigerator for 24 hours. On Saturday morning, they added other ingredients to the “starter.” They kneaded it, let it rise, and formed the dough into loaves. The loaves were baked, not steamed.
Carissa showed the Italian focaccia bread she made with her grandmother’s help. It had similar ingredients to the other breads but more spices, including garlic and basil and some cheese. Erik brought crusty rye sourdough bread. His mother helped him make it the way her mother from Germany had taught her. Wendy made scones with her mother, whose family came from England in the seventeenth century. Scones are rich biscuits made without yeast.
Jay brought some chapati, a flatbread he learned about in India last summer. Patrick brought his mother’s Irish soda bread with caraway seeds. David and Sarah brought challah, a bread traditionally served on Jewish holidays. With help from Sarah’s mom, David and Sarah rolled the dough into “snakes” and braided them. Jake participated by bringing a loaf of whole wheat bread his father had helped him make and several dozen homemade rolls.
The bake sale was a huge success! The breads sold quickly, and the class made $370 for new equipment. Ms. Cross observed that bread is an important part of cultures around the world.
This question has two parts. First, answer part A. Then, answer part B.
Part A
Which statement best summarizes the theme of the text?
A.
Most bread contains flour and water.
B.
A successful project needs help from parents.
C.
A bake sale featuring bread will always be a success.
D.
People from different countries have things in common.
Part B
Which sentence from the text best supports your answer in part A?
A.
"Ms. Cross’s fifth-grade class was planning a bake sale to make money for new equipment for the school grounds.”
B.
“Another committee could find a long table, and other students were needed to get cards and markers to use for labeling.”
C.
“With help from Sarah’s mom, David and Sarah rolled the dough into ‘snakes’ and braided them.”
D.
“Ms. Cross observed that bread is an important part of cultures around the world.”
Answers
Answer:
The answer is D<3
Step-by-step explanation:
in right triangle abc cd is the altitude to hypotenuse ab, and m
Answers
Based on the angle at m∠ABC=30° and the length of BD, the length of AD can be found to be 18 cm.
What is the length of AD?From the description of the shape:
AB = AD + BD
So we try to find AB.
∠BDC
Cos 30° = 54/BC
(√3) / 2 = 54/BC
BC = 36√ 3
This allows us to find ∠ACB
Cos30° = BC / AB
(√3) / 2 = (36√ 3) / AB
AB = 72
Now that we have AB, AD is:
72 = AD + 54
AD = 18 cm
Full question is:
In the right △ABC, CD is the altitude to the hypotenuse AB and m∠ABC=30°. Find AD, if BD=54 cm.
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Jack is standing on the ground talking on his mobile phone. He notices a plane flying at an altitude of
2400 metres. If the angle of elevation to the plane is 70° and by the end of his phone call it has an angle
of elevation of 50°, determine the distance the plane has flown during Jack’s phone call - use the cosine rule
Answers
Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.
To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.
The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.
Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.
We know that the altitude of the plane remains constant at 2400 meters.
According to the cosine rule:
\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)
Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.
For the initial angle of elevation (70°), we have the equation:
\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)
Similarly, for the final angle of elevation (50°), we have:
\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)
To find the distance the plane has flown, we subtract the two equations:
\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)
Now we can solve this equation to find the value of a, which represents the distance the plane has flown.
Finally, we calculate the square root of \(a^2\) to find the distance in meters.
It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.
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Please help as fast as you can???
Answers
Answer:
Nabila has $25 dollars.
Hasan has $19 dollars.
Tarek has $50 dollars.
Step-by-step explanation:
Let's say Hasan has "x" dollars at first. The question tells us that Nabila has six more dollars than Hasan has. This means that Nabila has "x + 6" dollars. The last given information is that Tarek has two times what Nabila has. So, Tarek has "2x + 12" dollars, basically.
Then, we can add up all these amounts to find out the result for each person.
\(4x + 18 = 94\\x = 19\)We found what is "x". This means that we actually found the answer.
Hasan had "x" dollars so he has $19 dollars.
Nabila had "x + 6" dollars so she has $25 dollars.
Finally, Tarek had "2x + 12" dollars or two times of what Nabila has so he has $50 dollars.
A bag of popcorn is placed in a microwave. After the first kernel pops, the number of kernels popped doubles every 30 seconds. If it takes exactly two minutes for every kernel in the bag to have popped, what would the time be on the microwave when 25% of the kernels have popped?
Answers
Let there be N number of kernels in the bag.
Given that the number o
For the linear regression y = ẞ1 + ẞ2x + e, assuming that the sum of squared errors (SSE) takes the following form:
SSE = 382 +681 +382 + 18ẞ1ẞ2
Derive the partial derivatives of SSE with respect to B1 and B2 and solve the optimal values of these parameters.
a. B₁ = B1
b. B₂ =
Answers
The optimal values of these parameters are:
a. β₁ = 0
b. β₂ = 0
The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:
SSE = 382 + 681 + 382 + 18β1β2
Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.
Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0
Now, we need to find the partial derivative of SSE with respect to β1.
∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0
Therefore, we obtain the optimal value of β2 as 0.
Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0
Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.
Thus, the optimal values of β1 and β2 are 0 and 0, respectively.
Therefore, the answers are: a. β₁ = 0 b. β₂ = 0
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What is the value of x?
Answers
Answer:
I think its is 7 cm hope this helped (◡‿◡< 3) .
Step-by-step explanation:
What is the value of x?Winston has just received his monthly credit card statement. He placed 7 charges on his card in the last month with a mean of $37.16 per charge. He knows that 6 of the charges were as follows: $34.87,$39.53,$42.42,$44.75,$36.40,$39.99 Determine the amount of the 7th charge.
Answers
To determine the amount of the 7th charge, we can use the information provided. We know that Winston placed 7 charges on his card in the last month, and the mean of the charges is $37.16 per charge.
We are also given the amounts of 6 of the charges: $34.87, $39.53, $42.42, $44.75, $36.40, and $39.99.
To find the amount of the 7th charge, we can calculate the sum of all 7 charges and subtract the sum of the known 6 charges. Then, divide the result by the remaining count of charges (which is 1 in this case) to find the amount of the 7th charge.
Sum of all 7 charges = (7 * $37.16)
Sum of the known 6 charges = $34.87 + $39.53 + $42.42 + $44.75 + $36.40 + $39.99
Amount of the 7th charge = (Sum of all 7 charges - Sum of the known 6 charges) / Remaining count of charges
Amount of the 7th charge = [(7 * $37.16) - ($34.87 + $39.53 + $42.42 + $44.75 + $36.40 + $39.99)] / 1
Simplifying the calculation, we can find the amount of the 7th charge.
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T/F. If A is an m×n matrix and if the equation Ax=b is inconsistent for some b in R^m, then the RREF of A cannot have a pivot position in every row.
Answers
True. If the equation Ax=b is inconsistent, then there is no solution to the system of equations represented by the matrix A and the vector b.
In terms of the row-reduced echelon form (RREF) of A, this means that there is at least one row with all zeros except for a non-zero entry in the last column (corresponding to the augmented vector b), indicating a contradiction. If the RREF of A had a pivot position in every row, then the corresponding system of equations would have a unique solution, so it must be the case that the RREF of A does not have a pivot position in every row. If the equation Ax=b is inconsistent, then there is no solution to the system of equations represented by the matrix A and the vector b.
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In circle I, IJ=4 and mJIK∠=90∘ Find the area of shaded sector. Express your answer as a fraction times π.
Answers
The area of the shaded sector is 4π square units.
To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.
Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.
Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.
The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.
Plugging in the values, we have A = (90/360) * π * 4².
Simplifying, A = (1/4) * π * 16.
Further simplifying, A = (1/4) * π * 16.
Canceling out the common factors, A = π * 4.
Hence, the area of the shaded sector is 4π square units.
Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.
In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.
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The members of a student council held a car wash to earn money for a field trip. The equations represent how they calculated their earnings.
5c+8v=234
c=2v
If c
represents the number of cars and v
represents the number of vans, which pair of sentences best describe the results of the fundraiser?
Answers
There are 26 automobiles and 13 vans available for the field excursion.
What is equation?An algebraic equation, also known as a polynomial equation, is a mathematical equation of the form P=0, where P is a polynomial with coefficients in some field, most commonly the field of rational numbers. A mathematical statement that expresses the connection between two values is simply characterized as an equation. In an equation, the two values are usually equated by an equal sign. Linear equations are first-order equations. Lines in the coordinate system are determined by linear equations. A linear equation in one variable is defined as an equation with a homogeneous variable of degree 1 (i.e. only one variable). A linear equation can include several variables.
Here,
If c represents the number of cars and v represents the number of vans,
5c+8v=234
c=2v
10v+8v=234
v=234/18
v=13 vans
c=26 cars
The number of cars for field trip is 26 and number of vans is 13.
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Which expression is equivalent to 48 + 60?
12(4+5)
12(8+5)
6(6+10)
6(8+12)
Answers
48+60= 108
Now checking the options:
A. 12(4+5)= 48+60=108
B. 12(8+5)= 96+60=156
C.6(6+10)= 36+60=96
D. 6(8+12)= 48+72=120
Therefore option A is correct.
The answer is:
⇨ AWork/explanation:
Let's find something that 48 and 60 have in common.
In other words, we find their GCF (greatest common factor).
The GCF of 48 and 60 is 12.
So I factor it out :
12(4 + 5)
which is A.
Hence, A is the right answer.A package of 8-count AA batteries cost $6.16. A package of 20-count AA batteries cost $15.60. Which statement about the unit prices is true?
Answers
Answer:
The unit prices will be within the range of $0.77 ≤x≤$0.78
Step-by-step explanation:
If a package 8-count AA batteries cost $6.16 and a package of same 20-count AA batteries cost $15.60, to calculate the unit price, the following steps must be carried out:
8 counts AA batteries = $6.16
A unit price (i.e 1 count) = x
Cross multiplying
8 × x = 6.16 × 1
x = 6.16/8
x = $0.77 for a unit price
Similarly, if 20-count AA batteries cost $15.60, then:
20 counta = $15.60
1 count = x
Cross multiplying
20 × x = $15.60 × 1
x = $15.60/20
x = $0.78 for a unit price
From above calculation, of can be seen that the unit price is almost similar but with a difference of $0.01 ($0.78-$0.77) which is insignificant. Based on this, we can conclude that a unit price of the battery is between the range
$0.77 ≤x≤$0.78
Answer:
The 8-count pack of AA batteries has a lower unit price of 0.77
per battery.
Step-by-step explanation:
answerrrrrr plssss ill giveee brainliesttttt
Answers
\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)
what is the ordered pair for this?
Answers
That will be the ordered pair.
i need help on My homework help me
Answers
Answer: $1,007.00
I hope this helps, and Happy Holidays! :)
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0. 07 and the probability that the flight will be delayed is 0. 16. The probability that it will not rain and the flight will leave on time is 0. 83. What is the probability that it is raining and the flight is delayed? Round your answer to the nearest thousandth. How would you figure this out?
Answers
The probability that it is raining and the flight is delayed is equal to the probability of it raining multiplied by the probability of the flight being delayed.
Therefore, the probability that it is raining and the flight is delayed is 0.07 * 0.16 = 0.0112. Rounded to the nearest thousandth, this is 0.011.
Write an equation that shows the relationship 40% of 120 is a.
Step by step please.
Answers
Answer:
your answer is 48
Step-by-step explanation:
40 / 100 * 120 ( to find the value of 40 % of 120) 4 * 12. ( after simplification) 48mark me as brainliest
Ginger mows 3/4 acre in 7/4 hours. What is her unit rate of averse mowed per hour
Answers
help me please ! Also dont be offended if i message back saying why it might be wrong
Answers
Answer:
\(1mm = 0.001m \\ 1000mm = 1m \\ 1cm = 0.01m \\ 100cm = 1m \\ 1km = 1000m \\ 0.001km = 1m \\ 1cm = 10mm \\ 0.1cm = 1mm \\ \\ m \: \: meter \\ cm \: \: centimeter \\ mm \: \: millimeter \\ km \: \: kilometer\)
plz help will give brainliest
Answers
Answer:
1. I know the number of seeds that there are I am trying to find out how many seeds you will be able to plant in each row, I also need to know how much the seeds will weigh.
2. The quantites in the problem are related because they are other how much they will weigh, or the number of seeds.
Step-by-step explanation:
3.
which document do you need to have on hand when preparing to file your tax return? a. auto insurance card b. birth certificate c. driver’s license d. form w-2 e. form w-4
Answers
The document do you need to have on hand when preparing to file your tax return is W-2
What is a tax return?A tax return is a form or forms filed with a tax authority that reports income, expenses, and other pertinent tax information.
To file your return, you'll need the following on hand: Your W-2: This form will come from your company and list not only your salary for the year, but the amount of taxes withheld along the way. You're required to file your W-2 along with your taxes, so if you're a salaried employee, this form is non-negotiable.
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SOMEONE PLEASE HELP!!!!! I’m not quite sure
Answers
Answer: I have no clue lol but if I had to guess I'd say A because it just seems like it stands out from the rest
Step-by-step explanation:
A company will enclose a rectangular area of 12,800 square feet in the rear of its plant. One side will be bounded by the building and the other three sides by fencing. Suppose that 400 feet of fencing will be used and that the side of the building has a length of 100 ft. What will be the dimension (in feet) of the side of the rectangle that is opposite the building
Answers
The area of the rectangular area is 12,800 sq ft and the side of the building has a length of 100 ft. The total length of fencing is 400 ft and the dimension of the side opposite the building is 128 ft.
The area of the rectangular area to be enclosed is 12,800 sq ft. The side of the building has a length of 100 ft. One side of the rectangle will be the length of the building and the other three sides will be bounded by fencing.Let the width of the rectangular area be x ft. Since the area of the rectangular area is 12,800 sq ft,x × (100) = 12,800x = 128 ft The total length of fencing to be used is 400 ft. Let the length of the fencing be y ft.2 (y + 100) = 400y + 100 = 200 ft The dimension (in feet) of the side of the rectangle that is opposite the building is 128 ft. Therefore, the required dimension is 128 ft. Note: Whenever solving a geometry problem, draw a diagram to understand the given information and to formulate an equation.
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1. David wants to do a research project on the number of lightning strikes there have been in his home town of Little Rock Arkansas over the past 50 years to see if it correlated with the amount of rainfall. To do this he needs to access to National Weather Service's database. This is an example of what type of data?
Group of answer choices
Secondary Data
Unstructured Data
Qualitative Data
Discrete Data
2
The Moda Center is holding a concert tonight and the attendance was 17,728/21,000 total seats. This is an example of which type of data?
Group of answer choices
Discrete Data
Continuous Data
Structured Data
External Data
3
Kellog's is doing a survey of their customers on which kind of cereal is their favorite. This is an example of which type of data?
Group of answer choices
Qualitative Data
Quantitative Data
Unstructured Data
Secondary Data
could use help on these
Answers
The correct answer is C. The Mode.
What is data in math?Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.
This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.
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