Define relation in math

Answers

Answer 1

Answer:

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.

Step-by-step explanation:

Define Relation In Math

Related Questions

3. the stem-and-leaf plot shows the cost of lamps at a department store.



(a) what is the median cost?
(b) is there a mode? if so, what is it?
(c) what is the difference between the most expensive and least expensive lamps?
(d) how many lamps cost more than $20 but less than $40?
(e) what is the ratio of lamps that cost less than $40 to lamps that cost more than $40? write the ratio in simplest form.

Answers

Answer:

I don't know F but if y'all do let me now.

Step-by-step explanation:

(b) the price in the very middle of a data set, with exactly half of the houses priced for less and half priced for more.

(c) The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.

(d) The two biggest things that come to mind right away is how is it going to be used and who is going to be using it? While we would all love to get the highest quality that’s just not always possible. So, that’s a good starting point for me is considering the answer to those two questions.

(e) Price and other details may vary based on product size and color.

The difference between the most and least expensive lamps represented on the stem and leaf plot is 66.

The median cost

The stem and leaf plot that completes the question is added as an attachment.

The median cost is the leaf element at the middle.

The plot has 18 leaves.

So, the median position is:

Median = (18 + 1)/2 = 9.5th

This means that the median is the mean of the 9th and the 10th items.

So, we have:

Median = (58 + 58)/2

Median = 58

Hence, the median cost is $58

The modal cost

This is the element with the highest frequency in the plot.

From the attached plot 65 has the highest frequency of 3

Hence, the modal cost is 65

The difference between the most and least expensive lamps

From the plot, we have:

Most expensive = 78

Least expensive = 12

The difference (d) is:

d = 78 - 12

d = 66

Hence, the difference between the most and least expensive lamps is 66.

Number of lamps that cost more than $20 but less than $40

This means that we check the items in the range 20 to 40 (exclusive)

The elements in this range are:

25, 28, 30, 32 and  34

Hence, 5 lamps that cost more than $20 but less than $40

Ratio of lamps that cost less than $40 to more than $40

From the plot, we have:

Less than $40 =  6

More than $40 =  12

The ratio is represented as:

Ratio = 6 : 12

Simplify

Ratio = 1 : 2

Hence, the ratio of lamps that cost less than $40 to more than $40 is 1 : 2

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Lines m and n are parallel on a coordinate plane. Lines m and n are transformed by the same rotation, resulting in image lines s and t. Which statement describes the relationship between lines s and t? A. Lines s and t are intersecting but not perpendicular. B. The relationship between lines s and t cannot be determined without knowing the angle of the rotation. C. Lines s and t are parallel. D. Lines s and t are perpendicular.

Answers

The best statement that describes the relationship between lines s and t : (C). Lines s and t are parallel.

Meaning of Parallel lines

A line can be defined as a figure that is one dimensional. It is a trace that is made by the movement of points in opposite direction.

Parallel lines can be defined as a group of lines that are of the same orientation. They face the same direction and are on the same axis.

In conclusion, The best statement that describes the relationship between lines s and t : Lines s and t are parallel.

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A class has 45 students. Each student has either 5 dollars or 2 dollars. Which Which situation results in the class having an average of 3 dollars per student

Answers

Step-by-step explanation:

an average of $3 per student would mean

sum(all students $) / 45 = 3

sum(all students $) = 3×45 = 135

x students have $5.

therefore (45-x) students have $2.

5x + 2(45-x) = 135

5x + 90 - 2x = 135

3x = 45

x = 15

so, 15 students have $5, and 45-15 = 30 students have $2.

sin^4 x+2sin^2 x-3=0
Solve by factoring on [0,2pi]

Answers

Answer:

Step-by-step explanation:x=π2,3π2

Explanation:

This can be factored as (x2+a)x2+b).⇒(sin2x+3)(sin2x-1)=0⇒

2

x

=

3

and

sin

2

x

=

1

sin

x

=

3

and

sin

x

=

1

sin

x

=

and

sin

x

=

±

1

x

=

π

2

,

3

π

2

Hopefully this helps!

Anyone know how to solve this???

Answers

Answer:

m=15/14

Step-by-step explanation:

y2-y1

x2-x1

(3, 0) (-11, -15)

x1 y1   x2   y2

-15-0

-11-3          = -15/-14 m=-15/-14 = 15/14

Identify the amount (a) and the growth factor (b) in each exponential function. Break B into (1+r) where the rate of growth. Give r as a percentage.



y=1.07 (1.96)x
a
b=
r(as a percentage)

Answers

Answer:

a = 1.07

b = 1.96

r = 96%

Step-by-step explanation:

In an exponential function, modeled by f(x) = a(b)ˣ, a is the initial value and b is the growth factor. If we apply this formula to the given function y = 1.07(1.96)ˣ, we can see that the initial value, a, is 1.07, and the growth factor, b, is 1.96.


Now, to break down b, 1.96, into a rate, you simply set it equal to the problem’s given (1 + r) equation to find the rate.

1.96 = 1 + r

So r = .96


Now, we just have to convert .96 into a percentage to get a growth rate of 96%.

The level of college education and wages earned are known to have a strong positive association. karen concluded that a college education causes higher earnings. is karen's conclusion valid? explain. karen's conclusion is not valid because association does not imply causation. karen's conclusion is valid because association does imply causation. karen's conclusion is not valid because causation does not imply association. karen's conclusion is valid because causation does imply association.

Answers

karen's conclusion is valid because the association does imply causation.

What is an association claim?

An association claim asserts that a particular level of one variable is expected to be related to a specific level of another variable. As two variables are related, they are said to be correlated, which means that when one variable varies, the other variable tends to change as well. 

An association claim must include at least two variables that are measured rather than manipulated.

While an association claim just acknowledges a connection between two variables, a causal claim goes a step further by claiming that one of the factors is responsible for altering the other.

Therefore, we can conclude that the claim which states that:

College education causes higher earnings is valid because the association does imply causation.

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Answer:

Association does not equal Causation, since Karen's theory does not have any evidence to prove causation, her theory is invalid.

Step-by-step explanation:

Rational function h is continuous, with a horizontal asymptote at y = 1. which function could be function h?

Answers

The function that could be the function h is option A.

What is a Rational Function?

This refers to the type of function that can be defined by a rational fraction and contains polynomials.

Hence, we can see that option A is correct because x²+16 never turns 0, and this makes this function continuous and both the numerator and denominator are both polynomials of the second degree.

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PLEASE HELP ASAP KING OF BRAINLY WORLD OR ANY ONE WILL GIVE 25 POINTS​

Answers

Answer:

(10,7)

Step-by-step explanation:

4x -3y = 19

2x-3y = -1         <======= multiply this equation by - 2

-4x + 6y = 2     <======= now add this to the top equation

      3y = 21         <=====   y = 7  

                                use this value in one of the equations to find x = 10

Please help me answer the question to the picture attached!!! I need help REALLY BAD!!!!

Answers

Answer:

Step-by-step explanation:

it might be like this but im not sure

What is the surface area of the right cone below?
12
A. 123 sq. units
B. 141 sq. units
C. 64 sq. units
D. 143 sq. units
3-

Answers

The surface area of the right cone is 141 sq. units. The correct option is B. 141 sq. units

Calculating surface area of a cone

From the question, we are to determine the surface area of the given right cone

The total surface area of a cone can be calculated by using the formula,

TSA = πrl + πr²

Where TSA is the total surface area

r is the radius

and l is the slant height

From the given information,

r = 3

l = 12

Putting the parameters into the formula, we get

TSA = (π×3×12) + (π ×3²)

TSA = 36π + 9π

TSA = 45π sq. units

TSA = 141.37 sq. units

TSA ≅ 141 sq. units

Hence, the surface area of the right cone is 141 sq. units. The correct option is B. 141 sq. units

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Mike wants to be elected president of the 7th-grade student council. he wants to determine his chance of winning the election. which would be the best way for mike to determine if he will win the election?

Answers

Answer:

B. survey a random sample of 7th-grade students

Step-by-step explanation:

this answer would make the most sense because it is a example of a random statistical question.

The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 15 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. . Store Shelf Space Weekly Sales 1 5 1.3 2 5 1.6 3 5 1.4 4 10 1.7 5 10 1.9 6 10 2.3 7 15 2.2 8 15 2 9 15 1.8 10 20 2.2 11 20 2.4 12 20 2.9 13 25 2.9 14 25 2.7 15 25 2.5 Using the regression line for this problem, the approximate Weekly Sales for shelf space that is :_________,i. 30. ii. 3.12 iii. 3.1 iv. 3.04 v. 2.99

Answers

The Weekly Sales for 30 shelf spaces is 3.04

How to determine the Weekly Sales for 30 shelf spaces?

The proper table is added as an attachment.

Next, we determine the regression equation using a graphing calculator.

From the graphing calculator, we have the following calculation summary:

Sum of X = 225Sum of Y = 31.8Mean X = 15Mean Y = 2.12Sum of squares (SSX) = 750Sum of products (SP) = 46

The regression equation is represented as:

y = bx + a

Where

b = SP/SSX = 46/750 = 0.06133

a = MY - bMX = 2.12 - (0.06*15) = 1.2

So, we have:

ŷ = 0.06133x + 1.2

When x =30, we have:

ŷ = 0.06133 * 30 + 1.2

Evaluate

ŷ = 3.04

Hence, the Weekly Sales for 30 shelf spaces is 3.04

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Which linear function represents the line given by the point-stope equation y-2= 4(x-3)?
f(x) - 6x-1
f(x)=Bx-6
(((x)-4x-14
(/(x)-4x-10

Answers

The linear function that represents the line y - 2 = 4(x - 3), in slope-intercept form, is expressed as: D. f(x)y = 4x - 10.

What is a Linear Function Equation?

A linear function equation is expressed as, y = mx + b, in slope-intercept form.

Given the point-slope equation of the function, y - 2 = 4(x - 3), rewrite in slope-intercept form:

y - 2 = 4(x - 3)

y - 2 = 4x - 12

y = 4x - 12 + 2

y = 4x - 10

The linear function would be: D. f(x)y = 4x - 10

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In the following table of values, what would be the value of "b" in ax² + bx + c
-2 7
-1 10
0 15
1 22
2 31

Answers

Using a system of equations, it is found that the value of b in the function would be of 6.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, considering that when x = 0, y = 15, we have that c = 15.

Then, when x = -1, y = 10, hence:

a - b + 15 = 10.

a - b = -5.

a = b - 5.

When x = 1, y = 22, hence:

a + b + 15 = 22.

a + b = 7.

Since a = b - 5:

b - 5 + b = 7.

2b = 12.

b = 6.

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Answer:

B) 6

Step-by-step explanation:

I took the exam for alg 2

HELP ME WITH THIS STORY PROBLEM SOMEONE
There are 5 posts supporting the guardrail for the steps to your home. The tallest post is 3 feet tall. The height of each of the other posts is 5/6 the height of the next larger post. Write an expression for the height of the shortest post. What is the height of the shortest post?
(also show work)

Answers

Answer:

3(5/6)^4

Step-by-step explanation:

The heights are changing by a constant factor. g1 is the first term, r is the common ratio, and n is the term number. Since the tallest pole is 3 ft so itll be g1=3. Heights are decreasing by 5/6 so r=(5/6). Since there are 5 posts shortest post will be n=5. Expression for the shortest pole is g5=3(5/6)^5-1 it simplifies to the answer

Is c = 11 a solution to this equation? 3 c = 17

Answers

Answer:

a=17/33

Step-by-step explanation:

c=11a ----(1)

3c=17 ---- (2)

Substitute equation (1) into equation (2)

3(11a)=17

33a=17

Divide both side by 33

a=17/33

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

I believe that is the diameter.

Answer:

C. Diameter

Step-by-step explanation:

Circumference: The distance around the edge outside of the circle.

Diameter: The distance across the circle that goes through the center.

Radius: The distance halfway across the circle, which is half the diameter.

Center: The point or dot in the middle of a circle.

which graph corresponds with the equation [tex]f(x)=\frac{1}{2 } (x+1)^{2} +2[/tex]

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The given equation is a Quadratic equation, so it's graph must be a parabola, and the Coefficient of x² is positive that means the parabola must have an opening upward.

And 2 is added to the ideal equation, so the parabola must have shift 2 units up from x - axis.

From the above information, we can easily conclude that the Correct representation is done in graph 4

PLEASE HELP ME LOL. (2.4 x 10^5) + (6 x 10^²) =?

Answers

Answer:

240,600

Step-by-step explanation:

10⁵=100,000

2.4×100,000=240,000

10²=100

6×100=600

240,000+600=240,600

whats 6 divided by 161?​

Answers

26.8 is your answer to 6/161?‍️

Answer:

0.03

Step-by-step explanation:

You can do this on a calculator.

6 ÷ 161 = 0.0372670807

Hope this helped

The area of the rectangle is 20 square units. Find the length and width of the rectangle

Answers

Well X should be 1 but the length and width could be 5 by 4

somebody please help me​

Answers

Answer:

1/3

1/2

Step-by-step explanation:

Sum being greter than 8, means 9,10,11,12 (12 is max as 6+6)

You can get 9 in these ways, (6+3),(5+4),(4+5),(3+6)

For 10, (6+4),(5+5),(5+5),(4+6)

For 11, (6+5),(5+6)

For 12 (6+6),(6+6)

Each outcome has probability of 1/6 x 1/6 = 1/36

There are 12 outcomes hence 12(1/36) = 12/36 = 1/3

Part b is 1/2 because half of dice has odd numbers.

Solve the inequality

2b + 5< 30

Answers

Answer:

b < 12.5

Step-by-step explanation:

2b + 5 < 30

1. Subtract 5 from both sides:

2b < 25

2. Divide both sides by 2:

b < 12.5

Final answer: b < 12.5

The value of b is any value that is less (smaller) than 12.5.

Hope this helps!

What is the measure is OMN (explain please)

Answers

Answer:

90°

radius is perpendicular to tangent.

Step-by-step explanation:

What is ur fav.
1) Chocolate 2) Vanilla 3) Strawberry 4) Mint Chocolate Chip 5) Cotton Candy 6) Coffee

Pick a number and put your name in the comments below with the number u picked

Answers

Answer:

cotton candy 6 I'm sure that's is answer thank you

A person has an unknown element with a volume of 16 cubic inches and a weight of 4.13 pounds.
Density
Titanium 0.161
Zinc 0.258
Iron 0.284
Silver 0.379
Using the table, what is the element?
A.Zinc
B.Silver
C.Iron
D.Titanium

Answers

Answer is A.Zinc
If it not it still Zinc

The density become by the elemental composition of the person has will be 0.258 and hence, option (A) will be correct.

What is the density?

In science, density is defined as the ratio of an object's mass to volume. Technical and statistical density assessments are done using a technique. The theory is applicable to the laws of nature in sciences like physics, where the emphasis is on things and matter.

Because density affects so many aspects of life, comprehending it is crucial. Which cells will float high in the atmosphere and which will sink lower depends on density, according to physics.

Given that the element has

Volume = 16 cubic inch

weight = 4.13 pound

Since density = weight / volume

density = 4.13/16

density = 0.258 which is matching through option (A) hence it will be correct.

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How is the quotient of 874 and 23 determined using an area model?

Enter your answers in the boxes to complete the equations.

874 ÷ 23 = (
÷ 23 ) + ​​(​
÷ 23 ​)​

874 ÷ 23 =
+

874 ÷ 23 =

Answers

The quotient of 874 and 23 determined using an area model is 38.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

= 874 ÷ 23

= (800 + 74 + 4) ÷ 23

We can get the answer by using the area model:

If divide 874 with 23 we get 184 as a remainder and 030 as a quotient

Further, if  we divide 184 with 23 we get 0 as a remainder and 008

874 ÷ 23 = 030 + 008 = 38

Thus, the quotient of 874 and 23 determined using an area model is 38.

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ever heard of someone having "a ___ on their shoulder?

Answers

A chip on their shoulder

Can some one help me please

Answers

Answer:

a) angle A = angle Z

angle B = angle X

angle C = angle Y

b) AB= ZX

AC=ZY

BC=XY

c) triangle CAB=YZX

hope it helps you

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