If (3, 7) and (7, −3) are the endpoints of the segment, find the equation of the perpendicular bisector of .

Answers

Answer 1

Answer:

[tex]y = \frac{2}{5}x[/tex]

Step-by-step explanation:

Concepts

⭐Perpendicular bisector of a segment

another line or segment that splits the segment in half and forms 90 degree anglesthe perpendicular bisector cuts through the midpoint of the segmentthe perpendicular has a slope that is the opposite reciprocal of the segment

⭐Midpoint formula

[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex][tex](x_1,y_1)[/tex] is one coordinate on the line[tex](x_2,y_2)[/tex] is another coordinate on the line

⭐Point-slope form

[tex]y-y_1 = m(x-x_1)[/tex]m is the slope[tex](x_1,y_1)[/tex] is a coordinate on the linea way to write the equation of a line

⭐Slope

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex][tex](x_1,y_1)[/tex] is a coordinate[tex](x_2, y_2)[/tex] is another coordinate

⭐Slope-intercept form

[tex]y = mx + b[/tex]m is the slopeb is the y-intercept (the y-value for when x=0)StrategyFind the midpoint of the given segmentFind the slope of the given segmentWrite the equation of the bisector equation in point-slope formSubstitute the opposite-reciprocal of the given segment's slope into the bisector equationSubstitute the midpoint of the given segment into the bisector equationExpand & simplify the bisector equation to convert it into slope-intercept formWorking

1. Find the midpoint of the given segment

[tex]midpoint = (\frac{(x_1+x+2)}{2}, \frac{(y_1+y_2)}{2})[/tex]

[tex](x_1,y_1)[/tex] = (3,7)

[tex](x_2,y_2)[/tex] = (7,-3)

∴ midpoint  [tex](\frac{3+7}{2}, \frac{7+(-3)}{2})\\= (\frac{10}{2}, \frac{4}{2})\\= (5,2)[/tex]

2. Find the slope of the given segment

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex](x_1,y_1)[/tex]  = (3,7)

[tex](x_2,y_2)[/tex] = (7,-3)

∴ slope [tex]m = \frac{-3-7}{7-3}\\= \frac{-10}{4}\\= \frac{-5}{2}[/tex]

3. Write the equation of the bisector equation in point-slope form

[tex]y - y_1 = m(x-x_1)[/tex]

4. Substitute the opposite-reciprocal of the given segment's slope into the bisector equation

The slope of the given segment is -5/2.

Therefore, the opposite-reciprocal of the given segment's slope is 2/5.

[tex]y - y_1 = \frac{2}{5}(x-x_1)[/tex]

5. Substitute the midpoint of the given segment into the bisector equation

midpoint = (5, 2)

[tex]y -2 = \frac{2}{5}(x-5)[/tex]

6. Expand & simplify the bisector equation to convert it into slope-intercept form

We need to convert  [tex]y -2 = \frac{2}{5}(x-5)[/tex] into [tex]y = mx + b[/tex] form.

[tex]y -2 = \frac{2}{5}x - \frac{2 * -5}{5}[/tex] . . . . . . . distribute the 2/5 into the parentheses

[tex]y -2 = \frac{2}{5}x - 2[/tex]      . . . . . . . compute

[tex]y = \frac{2}{5}x[/tex]                  . .  . . . .  add 2 to the LHS and RHS to isolate y

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Related Questions

System of linear inequalities

The girl's swim team is hosting a fundraiser. They would like to raise at least $500.They are selling candles for $5 and flower arrangements for $6.The girls estimate that at most they will sell 200 items. How many candles and flowers arrangement. The girl estimates that at most they will sell 200 items. how many candles and flower arrangements were sold?

S: what is the problem with asking you to find

O:organize, and circle the numbers and underline the following information

let x be ..........

let y be.........

L: write your plan in words.........

set up the equations.........

V: carry out your plan

E: examine the result, write the answer in complete sentences
Then graph the equation

Answers

Using substitution method to solve the system of linear equation, the girls have tp sell 700 flower arrangement.

What is System of Linear Equation

A system of linear equations is a collection of two or more linear equations that use the same set of variables. The solution of the system is the set of values for the variables that satisfy all of the equations in the system.

To solve this problem, we have to set our variables as;

Let;

x = number of candiesy = number of flowers

The equations can be written as;

5x + 6y = 500 ...eq(i)

x + y = 200 ...eq(ii)

From equation ii,

x = 200 - y ...eq(iii)

Put eq(iii) into eq(i)

5(200 - y) + 6y = 500

1000 - 5y + 6y = 500

1000 + y = 500

y = -500

Put y = -500 into eq(ii)

x - 500 = 200

x = 700

From the solution, it shows they couldn't sell any candy and had to sell 700 flower arrangement.

Kindly find the attached graph below

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Calculate the size of the angle marked 'x' in the pentagon shown below. Give your answer in degrees (°).

Answers

Answer: x= 96 degrees

Step-by-step explanation:

It we figure out the rest of the angles they would be (the outside ans inside angles are straight angles):

123+153+49+119= 444

Since the total of angles in a pentagon = 540 degrees

540-444 96 degrees

The measure of an angle x will be equal to 96°.

What is the Pentagon?

A Pentagon is a two-dimensional geometric shape that consists of five straight sides and five angles. It is a type of polygon, which is a closed shape with three or more sides.

The Pentagon is often used to represent the shape of buildings, monuments, and symbols in architecture and design.

If we figure out the rest of the angles they would be (the outside and inside angles are straight angles):

123+153+49+119= 444

Since the total of angles in a pentagon = 540 degrees

540-444= 96°

Therefore, the measure of an angle x will be equal to 96°.

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Which statement correctly describes this picture?

Answers

Answer is option D.

Because there, TY is show as a ray with one end point only. And PR is a lone segment.

The price of a notebook has risen to $3.80 today. Yesterday's price was $3.30 . Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

The percentage increase in the price of the notebook is 15%.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100.

The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Finding the increase in the price of the notebook:

$3.80 - $3.30 = $0.50

Dividing the increase by the original amount:

0.50 / 3.30 = 0.1515

To change to a percent multiply by 100 and round off to significant numbers:

0.1515 *100 = 15.15% or, 15%.

Thus, the percentage increase in the price of the notebook is 15%.

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Please answer #6a and 6b

Answers

The possible values of x for the given triangle ABC are 0.75<x<8.

What is the triangle inequality theorem?

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Given that, m∠A < m∠B < m∠C.

a) From triangle ABC,

BC<AC<AB

2x+3<6x<5x+8

Now, 2x+3<6x

Subtract 2x on both the sides of an inequality, we get

3<4x

Divide 4 on both the sides of an inequality, we get

0.75<x

Here, 6x<5x+8

Subtract 5x on both the sides of an inequality, we get

x<8

So, possible values of x are 0.75<x<8

b) From triangle ABC,

BC<AC<AB

3x+1<4x+8<7x+2

Now, 3x+1<4x+8

Subtract 3x on both the sides of an inequality, we get

1<x+8

Subtract 8 on both the sides of an inequality, we get

-7<x

Here, 4x+8<7x+2

Subtract 4x on both the sides of an inequality, we get

8<3x+2

Subtract 2 on both the sides of an inequality, we get

6<3x

Divide 3 on both the sides of an inequality, we get

2<x

So, possible values of x are -7<x<2

Therefore, the possible values of x for the given triangle ABC are 0.75<x<8.

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Find the volume of the composite solid. Round your answer to the nearest tenth.

Answers

The volume of the composite solid round to the nearest tenth is 83.7 inches³.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

There are 2 hemispheres and a cylinder in the given composite solid.

Volume of hemisphere =  [tex]\frac{2}{3}[/tex] π r³, where r is the radius.

Volume of the cylinder = π r² h, where r is the radius and h is the height.

Here r = 2 inches and

h = 8 - 4 = 4 inches

Volume of hemisphere = [tex]\frac{2}{3}[/tex] π × 2³

                                      = [tex]\frac{16}{3}[/tex] π

There are two hemispheres.

Volume of two hemispheres = 2 × [tex]\frac{16}{3}[/tex] π =  [tex]\frac{32}{3}[/tex] π

Volume of the cylinder = π r² h

                                      = π × 2² × 4

                                      = 16 π

Volume of the composite Solid = [tex]\frac{32}{3}[/tex] π + 16 π

                                                    = [tex]\frac{80}{3}[/tex] π

                                                    = 83.7 inches³

Hence the volume of the composite solid is 83.7 inches³.

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Due to delay, a company had to extend a project from 108 day to 137 day. What wa the percentage increae in time to complete the project, round you anwer to the nearet tenth

Answers

The percentage increase in project completion time is 26.85%.

What is percent?

Percentage is a relative number that represents the hundredth part of any quantity. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount. percentage. Mathematics percentile is a related topic. A percentage is a fraction of a whole represented as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.

Here,

=(137-108)/108*100

=26.85%

The percentage increase in time to complete the project is 26.85%.

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How do you find the 3rd side of a triangle?

Answers

The third side of a triangle, the following formula can be used c² = a² + b² - 2abcos(C)

To calculate the third side of a triangle, first find the lengths of the other two sides and the angle opposite the third side. Then plug these values into the formula above and solve for c.

Where c is the third side of the triangle, a and b are the other two sides, and C is the angle between them.

For example, for a triangle with two sides of length 4 and 6, and an angle between them of 75 degrees, the formula would look like this:

c² = 42 + 62 - 2(4)(6)cos(75)

Solving for c yields a third side length of 8.4.

To solve for c, first square the two side lengths: 42 = 16 and 62 = 36. Then, multiply the two side lengths together and multiply by the cosine of the angle between them: 2(4)(6)cos(75) = 43.9. Finally, add the two squared values together and subtract the result of the multiplication: 16 + 36 - 43.9 = 8.1. Then, take the square root of this result to get the length of the third side: √8.1 = 8.4.

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Which expression is equivalent to 7(d - 4)?
Submit
7(-4+ d)
-4(d + 7)
(d + 7).-4
-28d + 7

Answers

The phrase that is identical to 7(d - 4) in option B is -4(d+ 7). A mathematical expression is a statement that contains a minimum of two numbers .

what is expression ?

A mathematical expression is a phrase having a minimum of two numbers or variables and at least one mathematical operation. This mathematical operation may be addition, subtraction, multiplication, or division. An expression's basic components are as follows: Expression is (Number/Variable, Math Operator, Number/Variable). A mathematical expression is a statement that contains a minimum of two numbers or variables and at least one mathematical operation. Let's learn how to write expressions. A number is 6 more than half of another number, and that other number is called x. In a mathematical expression, this statement is represented as x/2 + 6.

given

The correct response is 4 less than 7, since 4 is less than 7.

Thus, 7-4=3 could be considered.

The first section of 7–4 appears to be answer B.

The phrase that is identical to 7(d - 4) in option B is -4(d+ 7).

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An office manager is planning to set up three computer workstations and a file cabinet in a space that is 27 feet wide. The file cabinet takes up 3 feet. What is the width of the space available for each computer station?

Answers

Answer:

The width of the space available for each computer station is 8 feet

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

The width of the space for computer stations is:

27 - 3 = 24 feet

Each computer station has a space of:

24/3 = 8 feet

Explain why the initial value of any function of the form
f(x) = a(b*) is equal to a.

Answers

The formula becomes a times 1, which is merely a, when you swap out 0 for the exponent x. This is so because 1 equals any number raised to the power of 0. The value of a will always be the initial value for any function with this form since the initial value is the function's value with an input of 0.

How do you determine F's starting value?

By looking for an equation's constant, one can also locate initial values. Graph functions benefit from understanding the y-intercept.

Any number that is multiplied by 0 equals 1.

A number is equal to a number multiplied by 1.

The value of a multiplied by one will equal its starting value.

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In baseball, each time a player attempts to hit the ball, it is recorded. the ratio of hits compared to total attempts is their batting average. each player on the team wants to have the highest batting average to help their team the most. for the season so far, jana has hit the ball 8 times out of 10 attempts. tasha has hit the ball 9 times out of 12 attempts. which player has a ratio that means they have a better batting average? tasha, because she has the lowest ratio since 0.75 < 0.8 tasha, because she has the highest ratio since 48 over 60 is greater than 45 over 60 jana, because she has the lowest ratio since 0.75 < 0.8 jana, because she has the highest ratio since 48 over 60 is greater than 45 over 60

Answers

Answer: Jana

Step-by-step explanation: because she has the highest ratio 48 over 60 > 45 over 60

I did the test

A certain United States flag has a perimeter of 58 feet. The length of the flag is 9 feet longer

than the width. What are the dimensions of the flag?

Answers

The dimensions of the flag are:

length = 19 feet and width = 10 feet

Let 'l' be the length of the flag and 'w' be the width of the flag.

The length of the flag is 9 feet longer than the width.

So, we get an equation

l = 9 + w                ............(1)

The flag has a perimeter of 58 feet.

We know that the formula for the perimeter of rectangle:

P = 2(l + w)             ..............(2)

Here, P = 58 feet

Substitute the value of P in equation (2)

58 = 2(l + w)                

29 = (9 + w) + w                      ..........(from (1))

29 - 9 = 2w

2w = 20

w = 10

Substitute this value in equation (1),

l = 9 + 10

l = 19 feet

Therefore, length = 19 ft and width = 10 ft

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A high school coach wants to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $200 on the shares. Which inequality represents the maximum cost of each pair, s, the coach can buy

Answers

It would be this because, your not aloud to spend more than 200 and it will be greater than 0 0

A carpenter bought a piece of wood that was 0.42 meters long. Then she sawed 0.3 meters off the end. How long is the piece of wood now?

Answers

The length of piece of wood now will be;

⇒ 0.72 meters

What is Addition?

A process of combining or adding two or more numbers is called addition.

Given that;

A carpenter bought a piece of wood that was 0.42 meters long.

And, She sawed 0.3 meters off the end.

Here,

A carpenter bought a piece of wood that was 0.42 meters long.

And, She sawed 0.3 meters off the end.

Hence, The length of piece of wood now = 0.42 + 0.3 meter

                                                                = 0.72 meters

Thus, The length of piece of wood now = 0.72 meters

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Given this equation in slope y - intercept form y=2x+5, the slope, and the y-intercept are represented as ______.

Answers

Answer:

slope is 2 ,, y intercept is 5

Step-by-step explanation:

y=mx+c

m represents slope

c represents y intercept

45 PTS no need to explain.

Answers

Answer:

B. SAS

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

The two triangles have 2 sides marked as congruent and the included angles are congruent as vertical angles:

AC ≅ EC,BC  ≅ DC,∠ACB ≅ ∠ECD

This gives us SAS congruence postulate.

The matching choice is B.

For what value of a the system of equations Ax Y 2 and 6x 2y 3 has a unique solution?

Answers

The value of 'a' for which the system of equations has a unique solution is a = 4/3.

The given system of equations can be written as:

Ax = 2

6x – 2y = 3

To find the value of 'a' for which the system has a unique solution, we can solve the equations for 'x' and 'y' and equate them.

Solving for 'x' in the first equation, we get:

x = 2/a

Solving for 'y' in the second equation, we get:

y = (3 + 6x)/2

Substituting the value of 'x' in the above equation, we get:

y = (3 + 6(2/a))/2

Equating the two equations, we get:

2/a = (3 + 6(2/a))/2

Multiplying both sides of the equation by 'a', we get:

2 = 3a + 6

Subtracting 2 from both sides of the equation, we get:

3a = 4

Dividing both sides of the equation by 3, we get:

a = 4/3

Therefore, the value of 'a' for which the system of equations has a unique solution is a = 4/3.

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Need answer quick 65 points and brainlyest
Graph using this picture
y+4=25(x−3)

Answers

The linear function y = 25x - 79 is plotted on a graph with x - intercept at 3.16

What is Graph of Linear Function

A graph of a linear function is a line that goes through the origin (0, 0). The line can be described by the equation y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line can be positive, negative, zero, or undefined.

In this problem, the linear function given y + 4 = 25(x - 3) can be written in slope - intercept form and then plotted in a graph using a graphical calculator.

y + 4 = 25(x - 3), the linear function can written;

y + 4 = 25(x - 3) = y + 4 = 25x - 75 ;

This becomes y = 25x - 75 - 4;

Collecting like terms

y = 25x - 79

Plotting this on a graph;

The line passes through the x - axis at 3.16 which is the x - intercept

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The length of an object in feet is equal to 3 times it's length in yards. The length of the boat is 36 feet. Write and solve a multiplication equation to find the length of the boat in yards

Answers

In linear equation ,The length of waterslide is 12 yards.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Given that,

The length of an object object in feet is equal to 3 times it’s length in yards

The length of wall water side slide is 36 feet

Let "y" be the length of object in yards

From given,

Length in feet = 3 times length in yards

    36 =  3 * y

     3y = 36

    y = 36/3

     y = 12

Thus length of waterslide is 12 yards.

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Alana and Petra go to a ued book ale , where every book i the ame price. Alana buy 4 book and Petra buy 2 book. They run into their friend angu, who really love to read, and dicover that he ha bought 16 book. Angu received a $15 dicount, but he till pent $5 more than Alana and Petra combined. How much doe one book cot?

Answers

A book cost $2.00.

What are variables in maths?

In Maths, a variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. The variables are specially used in the case of algebraic expression or algebra. For example, x+9=4 is a linear equation where x is a variable, where 9 and 4 are constants.

What are the 2 basic types of variables?

Variables may be classified into two main categories: categorical and numeric. Each category is then classified in two subcategories: nominal or ordinal for categorical variables, discrete or continuous for numeric variables.

Given the no of books purchased by

Alana =4

Petra =2

Angus = 16

So, the total price of 4 books of Alana =$4

Total price for Petra = $2

Total price of Alana and Petra =4x+2x

=6x

Total price for Angus = 16x

But given Angus received a discount  of $15

So price post discount = 16x- 15

According to the question

16x-15 = 6x +5

Adding 15 both sides

16x +15-15 = 6x + 5+15

16x= 6x+20

Subtracting 6x both sides

16x - 6x = 6x - 6x + 20

10x = 20

i.e x=2

Cost of one book = $2

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hellppppp gangyy nnn

Answers

The correct answer is option c as DE/AE=BC/AC

What is the slope of the line?

In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate. The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx. Where “m” is the slope of a line. So, tan θ to be the slope of a line.

Given here ΔADE ≈ΔABC and thus  DE/AE=BC/AC

but tanθ = DE/AE=BC/AC where tan θ is the slope of the line thus both the lines have identical slopes.

Hence, The correct answer is option c)  ΔADE ≈ΔABC thus DE/AE=BC/AC Therefore the slope of AD is the same as the slope of AB

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I do not understand this problem pls help thank you

Answers

The value of x in the triangle LMO is 38°

What is an equation?

An equation shows how two or more numbers and variables are related to each other.

∠KLO + ∠OLM = 180° (sum of angle in straight line)

134 + ∠OLM = 180°

∠OLM = 46°

∠OML + ∠OMN = 180° (sum of angle in straight line)

∠OML + 84 = 180°

∠OML = 96°

∠OLM + ∠OML + ∠LOM = 180° (angle in a triangle)

46 + 96 + x = 180

x = 38°

The value of x is 38°

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For this exponential function,
what is the output value (y)
when the input value (x) is 2?
y = 4.2x
(2, [?])
Enter

Answers

The final statement is: y=16

What are functions?

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here: The exponential function y=4×2ˣ

Therefore for x=2 we get

y=4×2²

y=16

Hence, The value of y at x equal to 2 is 16

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What is the best explanation of irrational numbers?

Answers

The best explanation of Irrational Numbers is that , the numbers  that cannot be expressed as a ratio of integers are called as Irrational Numbers .

What are Irrational Numbers ?

The Irrational numbers are the real numbers that cannot be represented in the form of a ratio ([tex]\frac{p}{q}[/tex]) . In other words, the real numbers that are not rational numbers are called as irrational numbers.

For Example : [tex]\pi[/tex] is an irrational number as   [tex]\pi =3.1415925...[/tex] The decimal value in the expansion never stops at any point.

Some Property of Irrational Numbers are :

(i) The Irrational numbers consist of only non-terminating and non-recurring decimals.

(ii) The Irrational Numbers  are real numbers only.

(iii) The Addition, subtraction, multiplication, and division of any two irrational numbers may or may not be a rational number.

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An item costs $320 before tax, and the sales tax is $16.
Find the sales tax rate. Write your answer as a percentage.

Answers

The answer is 5%
Brainly needs 20 characters

A marble is selected from a bag containing eight marbles numbered 1 to 8.
The number on the marble selected will be recorded as the outcome.
Consider the following events.
Event A: The marble selected has a number less than 4.
Event B: The marble selected has an odd number.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
A
(a) Event "A and B": {
(b) Event "A or B":
(c) The complement of the event B: {}
0,0..
X

Answers

From set theory, A and B: {4, 6} A or B: {2, 3, 4, 5, 6, 8} B's complement is 1, 2, 7, and 8.

What are the types of set theory?

Basic set theory describes these various kinds of sets as follows: Finite set: There are only a finite number of elements. A set with an infinite number of elements. A set that is empty has no elements. A singleton set consists of just one element.

The elements that appear in both A and B at the same time are referred to as A and B.

From 1 to 8, the even numbers are 2, 4, 6, and 8.

The numbers 3, 4, 5, and 6 are in that order.

Look for the components that are the same in both sets.

A and B: {4, 6}

The union of the two sets is either A or B.

Combine the components from both sets.

A or B: {2, 3, 4, 5, 6, 8}

All the components that are absent from B make up its complement.

Except for the event elements, write all of the sample space's components.

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1.The income of man increase in the ratio 7 : 8 . If the increase in his income is rs 4500 per month find his new income.

2.The ages of two sister are in the ratio 7 : 5 if the age of elder sister is 15 years 9 months, what is the age of younger sister.

Answers

The new income is new income.

Rs. 36000 per month. 6 years and 6 months.

What is the new income.?

Generally, To find the new income of the man, we can use the formula: New Income = Original Income + Increase in Income

Since the ratio of increase in income is 7:8, we can assume the original income to be 7x and the new income to be 8x.

The increase in income is given as Rs. 4500 per month, so we can set up the equation as:

8x = 7x + 4500

By solving for x, we get that

x = 4500.

Therefore, the new income of the man is

8x = 8 * 4500

= Rs. 36000 per month.

b)

The ages of the two sisters are in the ratio 7:5. If the elder sister is 15 years 9 months old, we can assume her age in months to be

15*12 + 9 = 189 months.

Let's assume x be the age of younger sister in months.

So, according to the ratio 7:5, we can set up the equation as:

x = (5/12)*189

By solving this equation we get

x= 78.75 months, which is roughly 6 years and 6 months.

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What is a log 10 transformation?

Answers

A log 10 transformation is a mathematical operation that is used to change the scale of a variable in a data set. The log 10 transformation is applied to the variable by taking the base-10 logarithm of each value in the data set. The result of this operation is a new variable that is on a different scale than the original variable.

The log 10 transformation is commonly used in statistics and data analysis to normalize data that is on a large scale, such as data that spans several orders of magnitude. By applying the log 10 transformation, the data is transformed into a more manageable scale that is easier to work with and analyze.

The log 10 transformation can also be used to stabilize the variance of a variable, this is particularly useful when the data is positively skewed. The log 10 transformation can also be useful for data that has a multiplicative relationship, for example, population growth or stock prices.

It is important to note that the log 10 transformation can only be applied to data that is positive and greater than zero because the logarithm of zero or a negative number is not defined.

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Boxes A and B contain some counters.
6y + 2
counters
Box A
Clip A19b
4y + 6
counters
Box B
The number of counters in each box is the same.
Work out the value of y
Find a Clip
106
Please give me the answer it’s really hard no one will help

Answers

By simple algebra, The number of counters in each box is 2.

What is Algebra?

Algebra is the study of mathematical symbols and the methods for incorporating them into formulas.

Why is algebra so difficult?

Since algebra is the first math subject most students take where they must deal with variables, complex concepts, and problem-solving abilities, many find it scary.

Given,

counter in Box A = 6y+2

counter in Box b=4y+6

Since there are the same amount of counters in both boxes.

hence

6y+2=4y+6

6y-4y=6-2

2y=4

y=2

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