What is the meaning of "it is the concept of the set of all sets that is paradoxical, not the idea of comprehension itself"?

What Is The Meaning Of "it Is The Concept Of The Set Of All Sets That Is Paradoxical, Not The Idea Of

Answers

Answer 1

The statement you provided refers to a concept known as Russell's paradox in set theory.

What is Russell's paradox?

The paradox arises when we consider the set of all sets that do not contain themselves as elements. If we assume such a set exists, we can define a paradoxical set, often denoted as R, which contains all sets that do not contain themselves.

The statement you provided is suggesting that the paradox arises from the concept of the set of all sets, rather than from the concept of comprehension itself.

The , in set theory, refers to the idea of defining a set by specifying a property or condition that its elements must satisfy. The paradox does not arise from the idea of defining sets in this way but rather from the specific concept of the set of all sets.

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Related Questions

please help! thank uu ~ :)

Answers

Answer:

Impossible

Step-by-step explanation: if a cube is number from 1-6 theirs no chance of getting a number less than 1.

Paul designed a patio for his backyard. The patio will cost
$3 per square foot to construct. His design and the scale
he will use to build the patio are both shown below.
How much will Paul spend constructing the patio?
Scale
1 cm = 3 ft.
5 cm
4 cm
8 cm
dollars
6.4 cm

Answers

Paul will spend $1,382.4 constructing the patio.

Looking at the design, we can see that the length of the patio is represented by 8 cm, and the width is represented by 6.4 cm. To convert these measurements to feet, we multiply them by the scale factor:

Length = 8 cm * 3 ft/cm = 24 ft

Width = 6.4 cm * 3 ft/cm = 19.2 ft

The area of the patio is calculated by multiplying the length and width:

Area = Length * Width = 24 ft * 19.2 ft = 460.8 ft²

The cost to construct the patio is $3 per square foot. Therefore, Paul will spend:

Cost = Area * Cost per square foot = 460.8 ft² * $3/ft² = $1,382.4

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Could someone kindly give me a detailed explanation with step-by-step instructions for the solution? I would greatly appreciate it.

Let f: N → Q be defined by f(x) = x / 1 + x for any x ∈ N. Prove or disprove each of the following:

(a) The function f is injective.
(b) The function f is surjective.

Answers

A. The function f is injective.

B. The function f is not surjective, as there are values in Q (e.g., y = 1) for which there is no corresponding x ∈ N.

How to prove it is injective

To prove that the function f is injective, we need to show that if f(x) = f(y), then x = y.

Let f(x) = f(y). Then we have:

x / (1 + x) = y / (1 + y)

Cross-multiplying, we get:

x(1 + y) = y(1 + x)

x + xy = y + xy

Now, subtract xy from both sides:

x = y

Since x = y when f(x) = f(y), we can conclude that the function f is injective.

(b) To prove or disprove that the function f is surjective, we need to determine whether for every y ∈ Q, there exists an x ∈ N such that f(x) = y.

Consider the case where y = 1/2. We need to find x ∈ N such that:

f(x) = x / (1 + x) = 1/2

Cross-multiplying, we get:

2x = 1 + x

Subtract x from both sides:

x = 1

In this case, there exists an x ∈ N (x = 1) such that f(x) = 1/2. However, we need to consider all y ∈ Q. Let's try another case.

Consider the case where y = 1. There is no x ∈ N that satisfies the following equation:

f(x) = x / (1 + x) = 1

Cross-multiplying, we get:

x = 1 + x

Subtract x from both sides:

0 = 1

This is a contradiction, so there is no x ∈ N such that f(x) = 1. Therefore, the function f is not surjective, as there are values in Q (e.g., y = 1) for which there is no corresponding x ∈ N.

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In a survey of 2267 adults in a recent​ year, 1220 say they have made a New​ Year's resolution. Construct​ 90% and​ 95% confidence intervals for the population proportion.

Answers

The 90% confidence interval for the population proportion of adults who made a New Year's resolution is approximately 0.523 to 0.554, while the 95% confidence interval is approximately 0.517 to 0.559.

To construct 90% and 95% confidence intervals for the population proportion based on the survey results of 1220 adults who made a New Year's resolution out of a total of 2267 adults, we can use the formula for confidence intervals for a proportion.

Calculate the sample proportion:

The sample proportion is the number of individuals who made a New Year's resolution divided by the total sample size.

Sample proportion [tex]\hat{p}[/tex]  = 1220 / 2267 = 0.5386

Determine the standard error:

The standard error measures the variability of the sample proportion and is calculated using the formula:

Standard error[tex](SE) = \sqrt{((\hat{p } \times (1 - \hat{p})) / n) }[/tex]

where n is the sample size.

Calculate the margin of error:

The margin of error represents the range within which the true population proportion is likely to fall.

It depends on the desired level of confidence and is calculated by multiplying the standard error by the appropriate critical value from the standard normal distribution.

For a 90% confidence interval, the critical value is 1.645.

For a 95% confidence interval, the critical value is 1.96.

Margin of error = Critical value [tex]\times[/tex] Standard error

Construct the confidence intervals:

The confidence interval is calculated by adding and subtracting the margin of error from the sample proportion.

For the 90% confidence interval: [tex]\hat{p}[/tex] ± Margin of error

For the 95% confidence interval: [tex]\hat{p}[/tex]  ± Margin of error

Using these steps and the provided information, we can construct the confidence intervals for the population proportion.

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PLEASE HELP TIMED

The amount that two groups of students spent on snacks in one day is shown in the dot plots below.

Group A
A dot plot titled Group A. A number line going from 0 to 5 labeled Amount in Dollars. There are 0 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5.

Group B
A dot plot titled Group B. A number line going from 0 to 5 labeled Amount in Dollars. There are 0 dots above 0, 3 above 1, 2 above 2, 4 above 3, 0 above 4, and 1 above 5.

Which statements about the measures of center are true? Select three choices.
The mean for Group A is less than the mean for Group B.
The median for Group A is less than the median for Group B.
The mode for Group A is less than the mode for Group B.
The median for Group A is 2.
The median for Group B is 3.

Answers

The three statements about the measures of center that are true include the following:

A. The mean for Group A is less than the mean for Group B.

B. The median for Group A is less than the median for Group B.

C. The mode for Group A is less than the mode for Group B.

How to calculate the mean for the set of data?

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

Group A

Mean for Group A = [(1 × 5) + (2 × 4) + (3 × 1)]/(5 + 4 + 1)

Mean for Group A = (5 + 8 + 3)/10

Mean for Group A = 16/10

Mean for Group A = 1.6

Mode for Group A = 1

Median for Group A = (1 + 2)/2

Median for Group A = 3/2

Median for Group A = 1.5

Group B

Mean for Group A = [(1 × 3) + (2 × 2) + (3 × 4) + (5 × 1)]/(3 + 2 + 4 + 1)

Mean for Group A = (3 + 4 + 12 + 5)/10

Mean for Group A = 24/10

Mean for Group A = 2.4

Mode for Group B = 3

Median for Group B = (2 + 3)/2

Median for Group B = 5/2

Median for Group B = 2.5

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: A,B,C

Step-by-step explanation:

Determine whether the expression 3m^3np^6 is a monomial.

Answers

The expression  3m³np⁶  is a monomial

A monomial is an algebraic expression that consists of only one term.

In this case, the expression 3m³np⁶ has a single term as it is the product of constants (3), variables (m, n), and their exponents (3, 1, and 6).

Therefore, it meets the criteria of a monomial.

Hence, the expression  3m³np⁶  is a monomial

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QUICK! 40 points. Consider this cone with the diameter measure of 17 inches.

A cone with diameter 17 inches and slant height of 22 inches.

What is the surface area of the cone?
SA = Pir2 + Pirl

A. 204Pi in.2
B. 259.25Pi in.2
C. 446.25Pi in.2
D. 663Pi in.2

Answers

259.25π in² is the surface area of the cone

The surface area of a cone can be calculated using the formula SA = πr² + πrl

where r is the radius and l is the slant height.

Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.

The slant height (l) is given as 22 inches.

Substituting these values into the formula:

Surface Area = π(8.5)² + π(8.5)(22)

= 72.25π + 187π

= 259.25π

Therefore, the surface area of the cone is 259.25π in²

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3 1/5x+10 7/9-2 2/5x-10 8/9 (Simplify) I need the answer to this ASAP!

Answers

The simplified form of the expression 3 1/5x + 10 7/9 - 2 2/5x - 10 8/9 is 4/5x - 1/9.

To simplify the expression: 3 1/5x + 10 7/9 - 2 2/5x - 10 8/9, we need to perform the addition and subtraction of the terms.

First, let's focus on the x terms: 3 1/5x - 2 2/5x.

The whole numbers can be treated as fractions with a denominator of 1. Thus, we have:

(3 1/5)x - (2 2/5)x.

To perform the subtraction, we need to find a common denominator for the fractions involved, which is 5.

(3 1/5)x - (2 2/5)x = (16/5)x - (12/5)x.

Now we can subtract the terms:

(16/5)x - (12/5)x = (16 - 12)/5x.

Simplifying further:

4/5x.

Now let's simplify the whole number and fraction terms: 10 7/9 - 10 8/9.

10 - 10 = 0.

The fraction terms can be simplified by finding a common denominator, which is 9:

(7/9) - (8/9) = (-1/9).

Now we can combine all the simplified terms:

3 1/5x + 10 7/9 - 2 2/5x - 10 8/9

= (4/5x) + 0 + (-1/9)

= 4/5x - 1/9.

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URGENT PLEASE HELP 15 POINTS!!!!

A consumer affairs investigator records the repair cost for 22 randomly selected TVs. A sample mean of $83.23 and standard deviation of $22.67 are subsequently computed. Determine the 95% confidence interval for the mean repair cost for the TVs. Assume the population is approximately normal.

Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Using a t-distribution with 21 degrees of freedom (since n-1 = 22-1 = 21), and a 95% confidence level, we can find the critical value from a t-table or calculator.

The critical value is ±2.080.

Rounded to three decimal places, the critical value is 2.080.

Julia has 12 different flowers in her garden. She has 5 roses what fraction of the flowers are roses?

Answers

Answer:

5/12

Step-by-step explanation:

Since Julia has 12 different flowers and we know she has 5 roses

we can turn it into a fraction which will be 5/12.'

Drag each tile to the correct box.
Arrange the following pairs of coordinates in order from least to greatest based on the differences between the points.

(4,1) and (2,2)
(-5,2) and (-3,-2)
(3,-4) and (-2,1)
(-1,-2) and (1,-4)
(5,-2) and (-1,-1)

Answers

The pairs of coordinates arranged from least to greatest based on the differences between the points are:

(-1,-2) and (1,-4)

(4,1) and (2,2)

(-5,2) and (-3,-2)

(3,-4) and (-2,1)

(5,-2) and (-1,-1)

Let's calculate the differences and arrange the pairs accordingly:

(4,1) and (2,2):

Difference in x-coordinates: 4 - 2 = 2

Difference in y-coordinates: 1 - 2 = -1

(-5,2) and (-3,-2):

Difference in x-coordinates: -5 - (-3) = -2

Difference in y-coordinates: 2 - (-2) = 4

(3,-4) and (-2,1):

Difference in x-coordinates: 3 - (-2) = 5

Difference in y-coordinates: -4 - 1 = -5

(-1,-2) and (1,-4):

Difference in x-coordinates: -1 - 1 = -2

Difference in y-coordinates: -2 - (-4) = 2

(5,-2) and (-1,-1):

Difference in x-coordinates: 5 - (-1) = 6

Difference in y-coordinates: -2 - (-1) = -1

Now let's arrange them in order from least to greatest based on the differences in the points:

(3,-4) and (-2,1) (difference: 5)

(-1,-2) and (1,-4) (difference: 2)

(4,1) and (2,2) (difference: 2)

(-5,2) and (-3,-2) (difference: 4)

(5,-2) and (-1,-1) (difference: 6)

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Find the measure of the red arc or chord in ⊙C.

Answers

The calculated measure of the red arc in ⊙C is 11

How to find the measure of the red arc or chord in ⊙C.

From the question, we have the following parameters that can be used in our computation:

The congruent circles

From the circles, we have

Centers = C and P

Also, we have

Corresponding segments are equal segments

Using the above as a guide, we have the following:

QR = LM

Where

LM = 11

This gives

QR = 11

Hence, the value of QR is 11

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50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

The phase shift of the trigonometric function is given as follows:

D) 90º to the left.

How to define a trigonometric function?

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For the cosine function, we have the same definition, we only use cos() instead of sin().

For which the parameters are given as follows:

A: amplitude.B: the period is 2π/B.C: phase shift.D: vertical shift.

For this problem, we have that the phase shift is of C = 90. As we are adding inside of the domain of the function, the phase shift is to the left.

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A rectangles width is 1/2 of its length. Its area is 338 square centimeters. What are its dimensions?

Answers

The width of the rectangle is 13 cm and the dimension is 26 cm x 13 cm

Given data ,

Let the length be L and width be W

Now , the width is 1/2 of the length, so we can write:

W = (1/2)L

The area of a rectangle is given by the formula:

Area = Length x Width

Given that the area is 338 square centimeters, we can write:

338 = L × W

Substituting W with (1/2)L, we have:

338 = L × (1/2)L

To solve this equation, we can multiply both sides by 2 to eliminate the fraction:

676 = L²

Taking the square root of both sides, we find:

L = √676

L = 26

So the length of the rectangle is 26 centimeters.

Substituting this value back into the equation for the width, we have:

W = (1/2)L

W = (1/2)(26)

W = 13

Hence , the dimensions of the rectangle are length = 26 centimeters and width = 13 centimeters

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A survey of 45 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated.

You're testing the claim that the mean difference is greater than 0.

From the sample, the mean difference was 0.3, with a standard deviation of 0.8.

Calculate the test statistic, rounded to two decimal places

Answers

The test statistic is given as follows:

t = 2.52.

How to calculate the test statistic?

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by the equation presented as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

The parameters for this problem are given as follows:

[tex]\overline{x} = 0.3, \mu = 0, s = 0.8, n = 45[/tex]

Hence the test statistic is given as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.3 - 0}{\frac{0.8}{\sqrt{45}}}[/tex]

t = 2.52.

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Two coins are tossed simultaneously for 360 times.
The number of times '2. Talls' appeared was three times 'No Tall' appeared and number of times '1 tall* appeared is double the number of times 'No Tail' appeared. Find the probabilly of getting Two tails.

Answers

The probability of getting Two Tails is 0.1 or 10%.

Let's assume that '2. Tails' appeared x times.

According to the given information, 'No Tail' appeared 3x times, and '1 Tail' appeared 2 × 3x = 6x times.

The total number of tosses is 360. We can express this information in an equation:

x + 3x + 6x = 360

Simplifying the equation:

10x = 360

x = 36

Now we know that '2. Tails' appeared 36 times, 'No Tail' appeared 3x = 3 × 36 = 108 times, and '1 Tail' appeared 6x = 6 × 36 = 216 times.

To find the probability of getting Two Tails, we divide the number of times '2. Tails' appeared by the total number of tosses:

Probability of Two Tails = Number of times '2. Tails' appeared / Total number of tosses

= 36 / 360

= 0.1

Therefore, the probability of getting Two Tails is 0.1 or 10%.

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I don’t know the solution too this math problem

Answers

Answer:

Step-by-step explanation:

x° + 2x° + 9° = 180°

3x° + 9° = 180°

x° + 3° = 60°

x = 57°

Solve for x square root of (2x^2+1)=0

Answers

Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

in a water tank there's a depth of 9cm, imagine the tank is sealed and put onto it's side, whats the depth of the water now (photo included)

Answers

The depth of water when the tank is on its side is 4.2 cm.

We are given that;

tank measurement is 13*8*17

Now,

A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.

To find the volume of water in the tank when it is upright. To do this, you multiply the depth of water by the area of the base:

Volume = Depth * Area Volume = 9 cm * (13 cm * 8 cm) Volume = 936 cm^3

This volume does not change when you put the tank on its side. However, the area of the base does change. Depending on which side you put the tank on, the area of the base will be either 13 cm by 17 cm or 8 cm by 17 cm. Let’s assume you put the tank on its longer side, so that the area of the base is 13 cm by 17 cm.

Now, you can find the depth of water by dividing the volume by the area:

Depth = Volume / Area Depth = 936 cm^3 / (13 cm * 17 cm) Depth= 4.2 cm

Therefore, by the cube answer will be 4.2cm.

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With a full tank of gas, you can drive 455 miles and your car can go 24 miles per gallon. Write an equation to model this situation (use m for miles you can drive and g for gallons used from the tank).

Answers

m = 24g

To find the distance you can drive (m), you multiply the number of gallons used (g) by the miles per gallon (24).

2[tex]x^{2} =-8[/tex]

Answers

[tex]2x^2=-8\\x^2=-4[/tex]

No real solutions.

Complex solutions:

[tex]x=\sqrt{-4} \vee x=-\sqrt{-4}\\x=2i \vee x=-2i[/tex]

AB =
Round your answer to the nearest hundredth.

Answers

Answer:

hello

the answer is:

Sin B = CA/AB ----> Sin 65° = 5/AB ----> 0.906 = 5/AB

----> AB = 5.51

Given the functions listed,
a) Determine the rule for (f - g)(x)
b) Evaluate (f – g)(-2)

f(x)=2x^2-3x+4 & g(x) = 8x +7

Answers

The rule for (f - g)(x) is (f - g)(x) = 2x² - 11x - 3 and the value of (f - g)(-2) is 27

Determining the rule for (f - g)(x)

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x² - 3x + 4

g(x) = 8x + 7

The rule for (f - g)(x) is calculated as

(f - g)(x) = f(x) - g(x)

Substitute the known values in the above equation, so, we have the following representation

(f - g)(x) = 2x² - 3x + 4 - 8x - 7

So, we have

(f - g)(x) = 2x² - 11x - 3

Evaluating the function (f - g)(-2)

Here, we have

x = -2

Substitute the known values in the (f - g)(x) = 2x² - 11x - 3, so, we have the following representation

(f - g)(-2) = 2(-2)² - 11(-2) - 3

Evaluate

(f - g)(-2) = 27

Hence, the value of (f - g)(-2) is 27

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Boyles Law says that the volume of a gas varies inversely with the pressure. When the volume of a certain gas is 5L the pressure is 88kPa ( kilo pascals ). What is the volume of the pressure is 55 kPa?

Help due !!! Asap

Answers

The final volume of the gas is 8 litres when the pressure is 55 kilo pascals.

What is the final volume of the gas?

Boyle's law simply states that "the volume of any given quantity of gas is inversely proportional to its pressure as long as temperature remains constant.

Boyle's law is expressed as;

P₁V₁ = P₂V₂

Where P₁ is Initial Pressure, V₁ is Initial volume, P₂ is Final Pressure and V₂ is Final volume.

Given that:

Initial volume of the gas V₁ = 5LInitial pressure of the gas P₁ = 88 kPaFinal pressure of the gas P₂ = 55 kPaFinal volume of the gas V₂ = ?

Plug the given values into the above formula and solve for the final volume:

88 kPa × 5L = 55 kPa × V₂

V₂ = 440 / 55

V₂ = 8 L

Therefore, the final volume is 8 litres.

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50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

The period of the trigonometric function in this problem is given as follows:

A) 540º.

How to define a trigonometric function?

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For the tangent function, we have that it is similar to the sine function, that we use tan() instead of sin().

For which the parameters are given as follows:

A: amplitude.B: the period is 2π/B.C: phase shift.D: vertical shift.

The coefficient B for the equation is given as follows:

B = 2/3.

Hence the period of the function is given as follows:

2π/(2/3) = 3π = 540º.

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Calculator
A computer generates 90 integers from 1 to 8 at random. The results are recorded in this table.
Outcome
Number of times outcome occurred
9%
What is the experimental probability of the computer generating a 3 or a 5?
O 20%
O 18%
1
O 40%
26
2 3
8
10
4
12

5
8
6
6
7
9
8
11

Answers

The experimental probability of the computer generating a 3 or a 5 is given as follows:

20%.

How to calculate a probability?

The parameters that are needed to calculate a probability are given as follows:

Number of desired outcomes in the context of a problem/experiment.Number of total outcomes in the context of a problem/experiment.

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of outcomes in the table is given as follows:

90.

The desired number of outcomes is given as follows:

10 + 8 = 18.

Hence the experimental probability is given as follows:

p = 18/90 = 0.2 = 20%.

Missing Information

The problem is given by the image presented at the end of the answer.

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PLEASE HELPPPP I AM CONFUSED AND NOBODY can help meee

Answers

Using substitution method to solve the system of linear equation, the number of calculator is 50 and calender is 30

What is system of linear equations?

The collection of two or more linear equations involving the same variables is known as a system of linear equations. In this case, linear equations are first-order equations, where the maximum power of the variable is 1.

To solve this problem, we can set the variables for this;

Let;

calculator = xcalendar = y

To write the system of linear equations;

x + y = 80 ...eq(i)

12x + 10y = 900 ...eq(ii)

Part B;

Using substitution method;

From equ(i)

x + y = 80

x = 80 - y ...equ(iii)

Put equ(iii) into equ(ii)

12(80 - y) + 10y = 900

y = 30

x = 50

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Find the slope and the y intercept of the line -6x + 3y =-3

Answers

The slope and y-intercept include the following:

Slope = 2.

y-intercept = -1.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.

Based on the information provided above, we have the linear equation:

-6x + 3y =-3

By making y the subject of formula, we have:

3y = 6x - 3

y = 2x - 1

By comparison, the slope and the y-intercept include the following:

Slope, m = 2.

y-intercept, b = -1.

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select the correct answer. when does the price of an item increase?

Answers

Answer: when the value of the dollar decreases, also when demand is high.

Step-by-step explanation: economics

Which of these numbers is between 1/3
and 87/100
on a number line? the options are
11/100
3/5
92/10
3/10

Answers

3/5 is the fraction between the numbers 1/3 and 87/100

Measuring fractions using number line

A number line is a graphical representation of numbers that can be used to understand and visualize numerical relationships. It is a straight line that extends infinitely in both directions and is usually drawn horizontally.

Writing the fractions as percentage:

1/3 * 100 = 33.3%

87/100 = 87%

This shows that the required number must be between 33.3% and 87%

From the given options:

3/5 * 100 = 3 * 20

3/5 * 100 = 60%

Hence the value in between the numbers 1/3 and 87/100 is 3/5

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