Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.

x | 1 | 2 | 5 | 10
------------------------
y | 6 | 12 | 30 | 60

ps. sorry table is so bad

Answers

Answer 1

Answer:  Direct Variation

The equation is y = 6x

======================================================

Reason:

Divide each y value over its corresponding x value

column one: y/x = 6/1 = 6column two: y/x = 12/2 = 6column three: y/x = 30/5 = 6column four: y/x = 60/10 = 6

Each time we get the same result. This suggests that y/x = k where k is the constant of proportionality. That equation rearranges into y = kx to show we have a direct variation.

The equation is y = 6x since k = 6

Side note: an inverse variation happens when we multiply the x,y values and get the same result each time.


Related Questions

Use the sum of cubes identity to write this polynomial expression in factored form: 8x^3 + 27

Answers

(2x + 3) (x^2 - 6x + 9)

Write an inequality represented by the graph.

Write an inequality represented by the graph.

Answers

Answer:

y > -x - 2

Step-by-step explanation:

First pick 2 points and find the slope of the line, m:  (-2, 0) and (0, -2)

m = (-2 - 0) / (0 - -2) = -2/2 = -1

y-intercept = b = -2

y > mx + b > -x - 2

Read image for instructions The shape of the distribution is…

Read image for instructions The shape of the distribution is

Answers

Ok, so

The shape of a distribution is described by its number of peaks and by its possession of symmetry, its tendency to skew, or its uniformity.

I need help with this answer can you plz help

I need help with this answer can you plz help

Answers

The answer is 22. You add 90 degrees and 68 degrees together.

All triangles are 180 degrees so you’ll subtract 158 from 180.

Use the two-way table on left- and right-handed people to create a two-way table that shows the joint and marginal relative frequencies. Drag and drop the numbers to complete the table

Use the two-way table on left- and right-handed people to create a two-way table that shows the joint

Answers

Step-by-step explanation:

I would show if they were right but the check marks kind of get in the way, sorry if this is too late.

Use the two-way table on left- and right-handed people to create a two-way table that shows the joint

The  two-way table with the joint and marginal relative frequencies is as follows:

         | Left    | Right   | Total

Female    | 0.048   | 0.450   | 0.498

Male      | 0.104   | 0.398   | 0.502

Total     | 0.151   | 0.848   | 1.000

What is Two way Frequency Table?

A two-way frequency table, also known as a contingency table, is a tabular representation of categorical data that shows the frequency or count of observations for each combination of two categorical variables.

As, the joint relative frequencies represent the proportion of individuals who fall into both categories (e.g., female and left-handed, male and right-handed),

while the marginal relative frequencies represent the proportion of individuals in each category independently (e.g., the proportion of females and the proportion of left-handed individuals).

Here is the two-way table showing the joint and marginal relative frequencies:

         | Left   | Right  | Total

Female    | 11     | 104    | 115

Male      | 24     | 92     | 116

Total     | 35     | 196    | 231

To calculate the joint relative frequencies,

Joint relative frequency of female and left-handed: 11/231 ≈ 0.048 Joint relative frequency of female and right-handed: 104/231 ≈ 0.450 Joint relative frequency of male and left-handed: 24/231 ≈ 0.104 Joint relative frequency of male and right-handed: 92/231 ≈ 0.398

To calculate the marginal relative frequencies, we divide the row and column totals by the total number of individuals (231):

Marginal relative frequency of left-handed individuals: 35/231 ≈ 0.151

Marginal relative frequency of right-handed individuals: 196/231 ≈ 0.848

Marginal relative frequency of females: 115/231 ≈ 0.498

Marginal relative frequency of males: 116/231 ≈ 0.502

Therefore, the two-way table with the joint and marginal relative frequencies is as follows:

         | Left    | Right   | Total

Female    | 0.048   | 0.450   | 0.498

Male      | 0.104   | 0.398   | 0.502

Total     | 0.151   | 0.848   | 1.000

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a company’s market share went from 50 to 65 percent of the total market. of the following choices, which two statements about the company's market shares are true?

Answers

The two statements that are true about the company's Market share going from 50 to 65 percent of the total market . The initial market share and multiply by 100, which gives 30 percent. Option B is correct answer.

The two statements that are true about the company's market share going from 50 to 65 percent of the total market are:

The company's market share increased by 30 percent: The difference between the initial market share of 50 percent and the final market share of 65 percent is 15 percentage points. To calculate the percentage increase, we can divide the difference by the initial market share and multiply by 100, which gives (15/50) x 100 = 30 percent.

The company's relative market position improved: With a market share of 65 percent, the company now holds a greater proportion of the total market than before. This means that its relative market position has improved compared to its competitors, who have a smaller share of the market. This could translate into increased bargaining power, profitability, and other benefits for the company.

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a company’s market share went from 50 to 65 percent of the total market. of the following choices, which two statements about the company's market shares are true?
A) 40

B) 30

C) 35

D) 45

what is the square root of 5

Answers

Answer:

The square root of 5 is 2.2360679775

The square root of 5 is 2.23

please help asap


6. Solve for x

please help asap 6. Solve for x

Answers

Answer:

D. -2

Step-by-step explanation:

19 = x + 12 + 11 + x

Solve for x

Combine like terms

x + x = 2x

12 + 11 = 23

We now have

19 = 23 + 2x

Subtract 23 from both sides

19 - 23 = -4

23 - 23 cancels out

We now have -4 = 2x

Divide both sides by 2.

-4/2 = -2

2x/2 = x

x = -2

160 feet of lumber at $2.49 per foot

Answers

Answer:

$398.40 for 160 feet of lumber based on $2.49 per foot.

Step-by-step explanation:

Simply multiply 160 by 2.49 and get $398.40.

8.6 more than the product of 3 and a number y as an expression

Answers

8.6 more than the product of 3 and a number y can be express as follows;

8.6 + 3y

The word expression can be translated to an algebraic expression as follows:

Algebraic expression:

An algebraic expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc

Therefore,

The product of 3 and a number y can be express as follows:

3y

8.6 more than the product of 3 and a number y as an expression is as follows:

8.6 + 3y

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\(\huge\text{Answer:}\)

\(\huge\mathrm{8.6+3y}\checkmark\)

\(\huge\text{Solution:}\)

8.6 more than the product of 3 and y.

\(\huge\mathcal{WHAT~IS~A~PRODUCT?}\)

When we multiply two numbers together, the result is called the product.

So, we multiply 3 and y:

3y (we can also write 3*y, but we usually write it as 3y)

8.6 more simply means we add 8.6:

8.6+3y (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

\(\huge\bold{-MistySparkles^**^*}\)

use cylindrical coordinates. evaluate x2 dv, e where e is the solid that lies within the cylinder x2 y2 = 4, above the plane z = 0, and below the cone z2 = 49x2 49y2.

Answers

The integral simplifies in cylindrical coordinates, where x = r cos θ, y = r sin θ, and z = z. We need to determine the limits of integration in terms of cylindrical coordinates and then evaluate the integral.

In cylindrical coordinates, the given solid can be represented as E: 0 ≤ r ≤ 2, 0 ≤ θ ≤ 2π, and 0 ≤ z ≤ √(49r^2 - 49r^4/4). To evaluate the integral, we need to express x^2 in terms of cylindrical coordinates, which gives x^2 = (r cos θ)^2 = r^2 cos^2 θ.

Then, the integral becomes ∫∫∫E r^2 cos^2 θ r dz dr dθ. We can evaluate this integral by integrating with respect to z first, then r, and finally θ, using the limits of integration mentioned earlier.

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What is the mode?
9 4 6 3 9 3 10 4 6 4

Answers

Answer:

4

Explanation:

The mode is what number occurs most often

The mode for this question is 4

Mode

In a set of numbers, the mode is the number that occurs most often. In other words, it measures how frequently a particular number occurs within a set of numbers. It is a type of average, like its counterparts, the median and mean.

To find the mode of a set of numbers,

List the set of numbers in ascending or descending order, including any duplicatesCount the number of times each number in the set of numbers occurs. The number that occurs the highest number of times is the mode of the set of data

Marty's class collected $11.40 in a school-wide penny collection contest. If Tommy's class subtracted $4.70 from the amount they collected, x, and then multiplied the difference by 2, they would have the same amount of money as Marty's class.

Answers

Answer:

braiiiiiiiiinlllllllyyyyyyyyest

Step-by-step explanation:

4x^2+10x-4 divided by 2x-1

Answers

The division of 4 · x² + 10 · x - 4 by 2 · x - 1 is equal to (2 · x + 6) + 2 / (2 · x - 1).

How to divide a polynomial by algebra properties

In this problem we find a second grade polynomial, also known as quadratic function, being divided by a first grade polynomial, also known as linear function. The complete procedure is shown below:

4 · x² + 10 · x - 4                                                     Given4 · x² - 2 · x + 12 · x - 4                                           Definition of subtraction / Distributive property(4 · x² - 2 · x) + (12 · x - 6) + 2                                 Existence of additive inverse / Modulative, commutative and associative property2 · x · (2 · x - 1) + 6 · (2 · x - 1) + 2                           Definition of power / Definition of multiplication / Distributive property(2 · x + 6) · (2 · x - 1) + 2                                          Distributive and commutative properties(2 · x + 6) + 2 / (2 · x - 1)                                          Dividing (5) by (2 · x - 1) / Result

The resulting polynomial is (2 · x + 6) + 2 / (2 · x - 1).

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How many solutions are there for the system of equations shown on the graph? ​

Answers

Answer:

What Graph?

Step-by-step explanation:

Answer:

you have to put the image of the graph

A square solar panel has an area of 16 square feet. Write the area as a power. Then find the side lengths of the panel.

The area of the solar panel written as a power is ___
square feet.

The side lengths of the solar panel are ___
feet.

Answers

Answer:

\(a : 4^2\\\\b: 4ft\)

Step-by-step explanation:

\(\sqrt{16} = 4\\a : 4^2\\\\b: 4ft\)

The area of the solar panel written as a power is 4 square feet.

The side lengths of the solar panel are 4 feet.

What is the area of a square?

Area of square is the square of its side.

It is given that a square solar panel has an area of 16 square feet.

How we find square roots?

By simply using this formula;

\(\sqrt{x} = x^\frac{1}{2}\)

Taking root square we get;

\(\sqrt{16} = 4\)

Thus, power = \(4^{2} ft\)

and lengths are = 4 feet

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Which of the following is another way to represent 5 2/ 6?

6 8/6
4 8/6
4 12/6
5 6/8

Answers

Another way to represent 5 2/6 is 4 8/6.

4 8/6 simplifies to 5 2/6.

Answer:  

4 8/6

Step-by-step explanation:

That should be your answer

When solving an equation, Drew's first step is shown

below. Which property justifies Drew's first step?

Original Equation:

2(x + - 4) = -3

First Step:

2x + -8 = -3

addition property of equality

commutative property of multiplication

distributive property of multiplication over addition

commutative property of addition

Submit Answer

Answers

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

How many four-digit numbers are there for which the product of the digits is equal to 240?

Answers

Answer: Its is 1

Step-by-step explanation:

The town of butler, nebraska, decided to give a teacher-competency exam and defined the passing scores to be those in the 70th percentile or higher. The raw test scores ranged from 0 to 100. Was a raw score of 82 necessarily a passing score? explain.

Answers

Based on the raw score of 82, and the 70th percentile passing, we can infer that as regards 82 being a passing score, No, it might have a percentile rank less than 70.

Is 82 a passing score?

The passing score is one that is in the 70th percentile or higher. This means that the raw score that a student gets needs to be considered higher than 70% of the rest of the scores.

There is a chance that the exam was so easy that most people got good scores. If that were the case, then a score of 82 can be below the 70th percentile which means that the candidate would not pass.

Options for this question are:

Yes, since a score of 82 is higher than 70.No, it might have a percentile rank less than 70.No, it might have a percentile rank greater than 70.Yes, it might have a percentile rank less than 70.

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represents a coefficient from the expression given? 9x – 20 + x2

Answers

Answer:

\((x - \frac{ - 9 + \sqrt{161} }{2} )(x - \frac{ - 9 - \sqrt{161} }{2} ) \)

Step-by-step explanation:

\(1. \: a(x - \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} ) \: (x - \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a}) \\ 2. \: (x - \frac{ - 9 + \sqrt{ {9}^{2} - 4 \times - 20 } }{2} ) \: (x - \frac{ - 9 - \sqrt{ {9}^{2} - 4 \times - 20 } }{2} )\)

Determine the vertical intercept

Determine the vertical intercept

Answers

The answer is C (0,-3)

tan 2A + sin 2A=4 tan A/(1 - tan4 A)​

Answers

Answer:

\(when \: \\ \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } \: \: and \\ \sin(2x) = \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ then \\ \sin(2x) + \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } + \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x)(1 + {( \tan(x)) }^{2} + 2 \tan(x) (1 - {( \tan(x)) }^{2} }{(1 + {( \ \tan(x)) }^{2}(1 - {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x) \times 2 }{1 - {( \tan(x) }^{4} } \\ = \frac{4 \tan(x) }{1 - {( \tan( \times ) )}^{4} } \)

Step-by-step explanation:

If you need any explanation. I can do it, my friend. you can communicate with me to that or any thing do you need in math

Determine the angle of impact for the blood droplet below.
degrees
2.5 cm
5 cm

Answers

The angle of impact for the blood droplet can be calculated using the trigonometric formula: tan(angle) = opposite/adjacent. In this case, the opposite side is 2.5 cm and the adjacent side is 5 cm.

What is  trigonometric ?

Trigonometry is a branch of mathematics that studies relationships between angles and sides of triangles. It is used to determine angles, distances, and other properties of a triangle. Trigonometry is also applied in the fields of engineering, physics, astronomy, and other sciences. By understanding the relationships between angles and sides of triangles, trigonometry is used to solve problems involving angles, lengths, and areas of triangles.

the angle of impact is tan(angle) = 2.5/5 = 0.5. Converting this to degrees, the angle of impact is tan-1(0.5) ≈ 26.6°.

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What is the slope of the line that passes through the points (0, -6) and (0, -5)?
Write your answer in simplest form.

Answers

Answer:

0

Step-by-step explanation:

Slope = change in y/change in x

Start with y: Our y2 term is -5, and y1 is -6

Set up the equation:

y2-y1

Plug in our values:

-6 - (-5) = -6 + 5 == -1

Now x:

x2 is 0, and x1 is 0

Set up the equation:

x2-x1

Plug in our values:

0-0 = 0

Now, put those two values together and you have the slope!

-1/0 is the slope

We can simplify this further though.

Anything divided by 0 is 0, so the slope = 0

I need help with this equation 23 points
a. The answer for both sides must be correct and the answer for both sides should be same

156 × 289 + 156 × -89 = 156 × (289 - 89) ​

Answers

Answer:

Both sides are equal and the answer is correct. So please mark me brainliest.

Step-by-step explanation:

156 × 289 + 156 × (-89) = 156 × (289-89)

or, 45084 - 13884 = 156 × 200

or, 31200 = 31200

Answer:

31200 = 31200

Step-by-step explanation:

156 × 289 + 156 × -89 = 156 × (289 - 89) 45084 + (-13884) = 156 × 20031200 = 31200

Find the value of a. Then find the angle measures of the quadrilateral.
(22° 20°)
Sum of angle
measures: 360°
a =
and
The angle measures from least to greatest are...

Find the value of a. Then find the angle measures of the quadrilateral.(22 20)Sum of anglemeasures: 360a

Answers

Answer:

a = 60°

60°, 60°, 120°, and 120°.

Step-by-step explanation:

Sum of interior angles of a quadrilateral = 360°

Therefore:

a° + a° + 2a° + 2a° = 360°

Add like terms

6a = 360

Divide both sides by 6

a = 60

2a = 2(60) = 120°.

Angle measure from least to greatest are 60°, 60°, 120°, and 120°.

Which of the following is equivalent to 8x2+20x+

Answers

answer 36

i HOPE IT'S HELP

A 3-cup container of disinfectant costs $1.92. What is the price per fluid ounce?

Answers

Answer:

Its cost about 1.5625

if you rounded its 1.56 :)

Step-by-step explanation:




Question 3. Convert the following real numbers to binary (8 binary places after the radix point). (0.25 Mark) - Show your work A. 0.11 B. 0.51 C. 0.625

Answers

The binary representations are a) 0.11000110, b) 0.10000010 and c) 0.10100000.

Let's convert the given real numbers to binary with 8 binary places after the radix point.

A. 0.11:

To convert 0.11 to binary, we can use the following steps:

Multiply 0.11 by 2:

0.11 × 2 = 0.22

Take the integer part of the result, which is 0, and write it down.

Multiply the decimal part of the result by 2:

0.22 × 2 = 0.44

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.44 × 2 = 0.88 (integer part: 0)

0.88 × 2 = 1.76 (integer part: 1)

0.76 × 2 = 1.52 (integer part: 1)

0.52 × 2 = 1.04 (integer part: 1)

0.04 × 2 = 0.08 (integer part: 0)

0.08 × 2 = 0.16 (integer part: 0)

0.16 × 2 = 0.32 (integer part: 0)

0.32 × 2 = 0.64 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.11000110

Therefore, the binary representation of 0.11 with 8 binary places after the radix point is 0.11000110.

B. 0.51:

To convert 0.51 to binary, we can use the same steps:

Multiply 0.51 by 2:

0.51 × 2 = 1.02

Take the integer part of the result, which is 1, and write it down.

Multiply the decimal part of the result by 2:

0.02 × 2 = 0.04

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.04 × 2 = 0.08 (integer part: 0)

0.08 × 2 = 0.16 (integer part: 0)

0.16 × 2 = 0.32 (integer part: 0)

0.32 × 2 = 0.64 (integer part: 0)

0.64 × 2 = 1.28 (integer part: 1)

0.28 × 2 = 0.56 (integer part: 0)

0.56 × 2 = 1.12 (integer part: 1)

0.12 × 2 = 0.24 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.10000010

Therefore, the binary representation of 0.51 with 8 binary places after the radix point is 0.10000010.

C. 0.625:

To convert 0.625 to binary, we can use the same steps:

Multiply 0.625 by 2:

0.625 × 2 = 1.25

Take the integer part of the result, which is 1, and write it down.

Multiply the decimal part of the result by 2:

0.25 × 2 = 0.50

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.50 × 2 = 1.00 (integer part: 1)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.10100000

Therefore, the binary representation of 0.625 with 8 binary places after the radix point is 0.10100000.

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