help meeee??!??!?! pleasee

Equivalence Relation is a type of Relation that satisfies the property of Reflexive , Symmetric and Transitive , and an example of such relation is [tex][(1, 1), (1, 3), (2, 2), (2, 4), (3, 1), (3, 3), (4, 2), (4, 4)][/tex] .

What is an Equivalence Relation ?

A relation R on a set A is can be called as an equivalence relation if and only if the relation is reflexive, symmetric and transitive.

It is a relationship on the set which is represented by symbol “∼”.

(i) Reflexive: A relation is termed as reflexive, if [tex](a, a) \in R[/tex], for every [tex]a \in A[/tex].

(ii) Symmetric: A relation is termed as symmetric, if [tex](a, b) \in R[/tex] , then [tex](b, a) \in R[/tex] .

(iii) Transitive: A relation is termed as transitive if [tex](a, b) \in R[/tex] and [tex](b, c) \in R[/tex], then [tex](a, c) \in R[/tex] .

An Example of Equivalence Relation is [tex][(1, 1), (1, 3), (2, 2), (2, 4), (3, 1), (3, 3), (4, 2), (4, 4)][/tex] because ;

(i) [tex][ (1, 1),(2, 2), (3, 3), (4, 4) ] \in R[/tex] , So , R is Reflexive .

(ii) [tex](2,4) \in R[/tex] and [tex](4,2)\in R[/tex] , Thus ,  relation given by R is Symmetric .

(iii) [tex](3,1) \in R[/tex] and [tex](1,3) \in R[/tex] ⇒ [tex](3,3) \in R[/tex] , So R is Transitive .

Therefore , the Relation given by R is Equivalence Relation .

The given question is incomplete , the complete question is

What is Equivalence Relation and its Example ?

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Answer:

288

Step-by-step explanation:

8x12x3

Answer:

1.

Step-by-step explanation:

We are trying to find out what is equal to 2(10x+4y)

2(10x+4y)

because 2 times 10x is 20x,  4y times 2 is 8y!

Answer:

Table A: f(x) = -4x - (-5)

Table B: f(x) = 4x + ⅖

Table C: f(x) = -4x + (-⅕)

Step-by-step explanation:

See explanation in the attachement below

Sample Parameter: The population's weight and the average weight of the cereal box The grain on the line's average weight is the parameter.

The value that consistently appears in a given set is known as the mode in statistics. The mode or modal value is the value or number that appears most frequently in a data set and has a high frequency. Along with mean and median, there are three other ways to measure central tendency. The mode can be calculated quite easily. After sorting the numbers in a set according to their order—lowest to highest or highest to lowest—count how many times each number appears in the group.

given

Example: 50th box of cereal

All cereal boxes are lined up in the population

Example Parameter: The cereal box's average weight

Population metric: The cereal on the line's average weight

Sample Parameter: The population's weight and the average weight of the cereal box The grain on the line's average weight is the parameter.

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Answer:

I'm pretty sure the answer is J

Answer:

See below.

Step-by-step explanation:

[tex]\frac{dy}{dx}+\frac{y}{x^2}=\frac{1}{x^2}\\\\\frac{dy}{dx}=\frac{1}{x^2}-\frac{y}{x^2}\\\\\frac{dy}{dx}=\frac{1-y}{x^2}[/tex]

The first step could be more complicated if the fractions didn't already have a common denominator.

Answer:

144 ounces.

Step-by-step explanation:

Since 1 pound=16 ounces, we will multiply 9 times 16.

9x16=144

Therefore, the answer is 144 ounces.

Answer:

Part A

2 hours 10 minutes

Part B;

Please find attached a number line created with MS Visio

Part C

The completed explanation is given as follows

The second showing starts at 7:35 p.m. The movie lasts 2 hours 10 minutes so it ends 9:45 p.m. So the second sowing be over by 9:45 p.m

Step-by-step explanation:

Part A

The given parameters are;

The time the first showing starts, t₁ = 4:35 p.m.

The time the first showing starts, t₂ = 7:15 p.m.

The time interval between shows, [tex]t_{interval}[/tex] = 1/2 hours = 30 minutes

Let 'x' represent the video in minutes, we have;

x = 7:15 - 4:35 - 30 = 2 hours 40 minutes - 30 minutes = 2 hours 10 minutes

The length of the video = 2 hours 10 minutes

Part B;

Using the number line, we have;

1) Plotting the points for the starting and  points for the two showing points which are 4:35 pm. and 7:15 p.m.

2) Plot the point 30 minutes before the start of the second movie which is 6:45 p.m and find the time difference between the start of the first showing and the point 6:45 p.m. which gives the length of the movie which is 2 hours and 10 minutes

3) Given that the second showing starts 20 minutes late, the second showing will start at 7:15 p.m. + 20 min = 7:35 p.m.

4) The second showing ends at 7:35 p.m. + 2 hours 10 minutes = 9:45 p.m.

Therefore, the second showing will be over 9:35 p.m.

Part C

The second showing starts at 7:35 p.m. The movie lasts 2 hours 10 minutes so it ends 9:45 p.m. So the second sowing be over by 9:45 p.m.

The minimum value of the given quadratic equation is 31/8. Solved using graph method to find a minimum value that is c - b^2/4a.

By graphing the equation and locating the minimum point on the graph, you may visually determine the minimum value. The graph's vertex will have the lowest y-value. When you have a graphing calculator that can perform the majority of the work for you, this is very simple.

A graph makes it simple to determine the minimum value of a quadratic equation. One can use the graph to identify the minimum point of the quadratic equation and to find the minimum value in a visual way. If the quadratic equation is written as [tex]y= ax^2 + b*x + c[/tex]one can follow the equation that says the minimum value is min = c- (b^2/4a) to obtain the minimum value of the quadratic equation.

Given Quadratic equation is y = 2x^2 + 3x + 5

a = 2 , b =3 ,c = 5.

Minimum value  = c - (b^2/4a)

= 5 - 9/8

=31/8.

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Answer:

Given:

Cost of doughnut at one shop = £1.40

Unknown:

Difference in the cost of doughnuts at the two shops = ?

To find the difference in the cost of doughnuts at the two shops, we must know the cost of doughnut at the second shop;

 Given that the cost of doughnut at the other shop is 20% more;

      = 1.20 x £1.4

      = £1.68

The difference in the cost of doughnuts  = £1.68 - £1.40 = £0.28

So the answer is £0.28

Answer:

If the donut cost 1.80 at the first shop it will cost 2.07 at the second shop. the difference is 27 cents

1.80×15%=.27

1.80+.27=2.07

The answers to each part of the question are mentioned above.

        y = a(x – h)² + k    or     x = a(y – k)² +h.

        where - (h, k) denotes the vertex.

Given is the equation of a parabola as -

(x - 1)² = y + 2​

We can write the equation as -

y = (x - 1)² - 2

        [tex]$y=\frac{1}{4 \left(f - k\right)} \left(x - h\right)^{2} + k[/tex]

        [tex]$y=\frac{1}{4 \left(\frac{-7}{4} - (-2)\right)} \left(x - h\right)^{2} + k[/tex]

        - 2 - (- 7/4) = d - (- 2)

        d = - 9/4

        y = d

        y = -9/4

Therefore, the answers to each part of the question are mentioned above.

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Answer:

Step-by-step explanation:

The smallest possible multiple of 13 dollars greater than 500 dollars would be 507 which is 13*39 (i assume you mean whole numbers when you say positive numbers, if not the other answer would be 13*38.461)

The value of k⁻¹(8) in for k(x) = 4 ÷ 5x - 6 is 2/35.

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

Given, k(x) = 4 ÷ 5x - 6.

k(x) = (4/5x) - 6.

Let, y = k(x).

y =  (4/5x) - 6.

(4/5x) = y + 6.

1/x = 5(y + 6)/4.

x = 4/{5(y + 6)}.

y = 4/{5(x + 6)}.

k⁻¹(x) = 4/{5(x + 6)}.

k⁻¹(8) = 4/{5(8 + 6)}.

k⁻¹(8) = 4/{5(14)}.

k⁻¹(8) = 4/70.

k⁻¹(8) = 2/35.

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Answer:

50%

Step-by-step explanation:

it's half

Answer:

5,000 is half of 10,000

Step-by-step explanation:

5,000 x 2 = 10,000

10,000 divided by 2 = 5,000

5,000 plus 5,000 = 10,000

Answer:

F.

Step-by-step explanation:

y = k/x where k is a constant

given that x = 4 when y = 3, we have:

3 = k/4

So, k =12.

The equation of variation is:

y = 12/x

When x = 15

y = 12/15 = 4/5.

So not 12 so this is False,

If the sum of three numbers is 50, it forms a linear equation that is x + y + z = 50. By solving this equation we can get the value of x, y and z.

The Equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. There are different types of equations like linear, quadratic, cubic, etc. There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. The most basic and simple algebraic equations consist of one or more variables in math.

The sum of three number is 50 the first number is twice the second number the third number is half the first number.

x + y + z = 50

x = 2y

z = x / 2

Here we form a linear equation. A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. By solving this linear equation we can get the value of x, y and z.

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Check the picture below.

On applying the midpoint theorem the values of x, y, and z are 2, 10 and 8 respectively.

What is the mid-point theorem?

According to the midpoint theorem, the line segment connecting any two triangle sides' midpoints is parallel to and equal to half of the third side.

The outer triangle is ABC and the inner triangle is DEF.

It can be seen that sides AB, BC and AC are equally divided such that AD=DB,

BE=EC and

CF=FA.

So, this proves that point D, E and F are the middle points of AB, BC and AC respectively.

Now, according to the midpoint theorem -

DF = 1/2(BC)

Plugging in the values -

x = (5x-6)/2

2x = 5x-6

2x-5x = -6

-3x = -6

x = 2

Now, for side DE -

DE = 1/2(AC)

Plugging in the values -

12 = (2z+8)/2

24 = 2z+8

24-8 = 2z

16 = 2z

z = 8

Now, for side EF -

EF = 1/2(AB)

Plugging in the values -

y = 20/2

y = 10

Therefore, the values obtained are x=2, y=10 and z=8.

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Answer:

c. x=9 or x=-9

Step-by-step explanation:

i hope this helps :)

Answer: C

Begin by dividing 4 on both sides to get [tex]x^{2}[/tex]=81. When a term is squared, that basically means you need to square root the equation. This would equal [tex]\sqrt{x^{2}[/tex]=[tex]\sqrt{81}[/tex]. Square rooting cancels out the x^2, leaving it as x=[tex]\sqrt{81}[/tex]. This also refers to 9,-9. (Keep in mind that when you're square rooting a number, you should always consider both positive and negative.)

The greatest common factor of 20q¹⁰ - 10q⁹ + 30q⁸ + 20q⁷ is 10q⁷.

The GCF stands for greatest common factor. In this case, greatest can be changed to highest, and factor to divisor. The highest common factor is often referred to as the biggest common factor, highest common factor, or highest common divisor (GCD).

The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF. There are three main methods for calculating GCF: division, multiplication, and prime factorization.

the factor of 20q¹⁰ is 2*2*5*q*q*q*q*q*q*q*q*q*q

the factor of 10q⁹ is 2*5*q*q*q*q*q*q*q*q*q

the factor of 30q⁸ is 2*3*5*q*q*q*q*q*q*q*q

the factor of 20q⁷ is 2*2*5*q*q*q*q*q*q*q

So that the common factor of all the above terms is 2*5*q*q*q*q*q*q*q

the common factor of all the above terms= 10q⁷

So that the greatest common factor of 20q¹⁰ - 10q⁹ + 30q⁸ + 20q⁷ is 10q⁷.

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Answer: Tom can come up with 13 different wacky personalities for Mr Potato Head.

Step-by-step explanation:

Tom can come up with 3 different hairstyles for Mr Potato Head, 2 sets of eyebrows, 1 pair of googly eyes, 2 sets of ears, and 2 sets of lips. He also has 2 pairs of shoes to choose from. If Mr Potato Head can be bald, Tom can also choose to not include a hairstyle.

In total, Tom can come up with 3+2+1+2+2+2+1=13 different combinations of features for Mr Potato Head. Since each combination represents a different personality, Tom can come up with 13 different wacky personalities for Mr Potato Head.

Answer:

can u give me the brainliest

the answer is in the attached documents

One way to solve a system of 3 equations with 3 variables is to use Gaussian elimination or Gauss-Jordan elimination method.

Gaussian elimination method:

The steps for Gaussian elimination are as follows:

Gauss-Jordan elimination method is similar to Gaussian elimination, however in the final step, it converts the matrix into a Reduced Row Echelon Form (RREF) which leads to more easily solving the system of equations.

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the speed of the car

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

Reason:

The term "gradient" is the same as "slope".

Recall that slope = rise/run = (change in y)/(change in x).

The change in y represents how far you travel, as the distance is along the vertical axis. The change in x is the time duration.

Then,

speed = distance/time

which helps show the slope of this distance-time graph is the speed of the car. The steeper the slope, the faster the car.

-------------

An example:

The equation y = 50x has slope 50. The x is the time and y is the distance traveled.

At time x = 0 hours, you have traveled y = 0 miles.

At time x = 1 hour, you have traveled y = 50 miles.

The two points (0,0) and (1,50) are on this line. Use the slope formula to get a slope of 50, which represents the speed of the car in miles per hour (mph). Or note that y = 50x is in the form y = mx+b

m = slope = 50

b = y intercept = 0

Answer:

a. 1.05

b. 0.95

Step-by-step explanation:

a. 5 percent increase

5% = 0.05

Because it is increasing, so we add 1

1 + 0.05 = 1.05

b. 12 percent decrease

12% = 0.12

Because it is decreasing, so subtract 1

1 - 0.05 = 0.95

So, the answer is

a. 1.05

b. 0.95

Answer:

Step-by-step explanation:

i think you should use the graph it will help you to get your answer and see what’s the slope

If Joseph collects data from 186 students from a medium sized school in Iowa and finds that only 11% students has reported rate of bullying , then the 95% confidence interval is option (b) [tex](10.353, 11.647)[/tex] .

the students who report bullying  in middle sized school is ⇒ [tex]15[/tex] percent ;

the standard deviation is given as ⇒ 4.5% = 0.045 .

the sample size is ⇒ 186 students ;

the sample proportion is ⇒ 11% = 0.11 .

we know that the for the 95 percent confidence interval the value of z score is 1.96   .

The formula to calculate the upper and lower limit of 95 percent confidence interval is :

= [tex]( Sample Proportion \pm \frac{Zscore \times Standard Deviation}{\sqrt{Population Size} })[/tex]

So , the lower limit of the interval will be calculated as :

= [tex]( 0.11 - \frac{1.96 \times 0.045}{\sqrt{186} })[/tex]

On simplifying ,

we get

= [tex]0.1035[/tex] = [tex]10.35\%[/tex] ;

So , the upper limit of the interval will be calculated as :

= [tex]( 0.11 + \frac{1.96 \times 0.045}{\sqrt{186} })[/tex]

On simplifying ,

we get ;

= [tex]0.1165[/tex] = [tex]11.65 \%[/tex]

Therefore , the required interval is [tex](10.353, 11.647)[/tex].

The given question is incomplete , the complete question is

According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most recent month. Let's assume the standard deviation is 4.5% of students. Joseph collects data from 186 students at a medium-sized school in Iowa and finds that only 11% reported this rate of bullying. What is his 95% confidence interval ?

(a) (8.75, 13.25)

(b) (10.353, 11.647)

(c) (10.5, 19.5)

(d) (6.5, 15.5)

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Answer:

d. interquartile range

Step-by-step explanation:

the iqr measures the first, second, and third quartile, and the median.