What are the next two terms of the following sequences?
With process​

The width of the interval will be is 5 or ( 49.5 , 54.5 ) .

Given :

The minimum value is called the lower class limit and the maximum value is called the upper class limit. For class interval 50-54, the lower class limit is 50 and the upper class limit is 54.

Class boundaries are the numbers used to separate classes. It is the real limits of a class. For non-overlapping classes, the lower class boundary of each class is calculated by subtracting 0.5 from the lower class limit. The upper class boundary of each class is calculated by adding 0.5 to the upper class limit.

Example: For class interval 50-54, the lower class boundary is 49.5 and the upper class class boundary is 54.5

Considering the question given, to get the real limits of the interval 50-54, 0.5 is subtracted from the lower class limit to give 49.5. Also, 0.5 is added to the upper class limit to give 54.5.

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Try the slop formula. x1 - x2 over y1 - y2. Also, try to cross multiply what you already have.

[tex]\displaystyle\\Answer:\ y=-\frac{3}{2}x+1[/tex]

Step-by-step explanation:

The condition of perpendicularity of the two lines given by the equations:

                             [tex]\displaystyle\\\left \{ {{y_1=m_1x+b_1} \atop {y_2=m_1x+b_2}} \right.[/tex]

   is the relation: m₁ x m₂=-1

[tex]\displaystyle\\Hence,\ m_2=-\frac{1}{m_1}[/tex]

[tex]\displaystyle\\Given: y=\frac{2}{3}x+\frac{2}{3}\ == > \ m_1=\frac{2}{3} \\\\Thus,\ m_2=-\frac{1}{\frac{2}{3} } \\\\m_2=-\frac{3}{2}[/tex]

The equation of the Point-Slope Form is expressed as:

           y-y₁=m(x-x₁)    

(-2,4)  that is   x₁=-2      y₁=4

[tex]\displaystyle\\Therefore,\\\ y-4=-\frac{3}{2} (x-(-2))\\\\y-4+4=-\frac{3}{2} (x+2)+4\\\\y=-\frac{3}{2}(x)-\frac{3}{2}(2) +4\\\\y=-\frac{3}{2}x -3+4\\\\y=-\frac{3}{2}x+1[/tex]

Theorems related to equilateral traingle :

Theorem 1: The sum of measures of all 3 interior angles of a triangle is [tex]180^0[/tex].

Theorem 2: The angles opposite to equal sides are also equal in measure.

Theorem 3: The sum of the related internal angles is the measure of the exterior angle of a triangle.

Theorem 4:If a line splits any two triangle sides in the same proportion, it is parallel to the third side of the triangle.

Theorem 5: Each angle of an equilateral traingle have equal measure of [tex]60^0[/tex].

Theorem 6: Any two triangle sides can add up to a length that is longer than the third side.

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The value of the angle of the arc in the wheel is equal to 135. The correct option is D.

An arc of a circle is a section of the circle's circumference between two radii. A circle's central angle is an angle formed by two radii with the vertex in the centre. The central angle of an arc is the central angle that the arc subtends. The length of an arc is equal to the length of its central angle.

The angle suspended by the arc on the wheel is 3/8 that of the one revolution of the wheel.

The value of the angle will be calculated as,

Angle = 3/8 x 360

Angle = 3 x 45

Angle = 135

Therefore, the value of the angle of the arc in the wheel is equal to 135. The correct option is D.

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Kate has encountered Simpson's Paradox because even though pepperoni pizza is the most popular flavor on weekdays.

Simpson's Paradox is the phenomenon that occurs when a trend appears to be in one direction when data is grouped in one way, but the trend is reversed when the data is grouped in another way.

In this case, Kate has encountered Simpson's Paradox because even though pepperoni pizza is the most popular flavor on weekdays, and again on the weekends when all the data is considered, the overall popularity of sausage pizza is greater.

Simpson's Paradox can be explained by the fact that the number of sausage pizza sales may be greater than the number of pepperoni pizza sales, even if the percentage of pepperoni pizza sales is higher.

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Kate has encountered the Simpson's Paradox. By definition, Simpson's Paradox is a phenomenon in which a trend appears in several different groups of data but disappears when these groups are combined. Option c is the right option

A relationship between two variables in a population might exist, vanish, or even change when the population is split up into subpopulations, a statistical phenomenon is known as Simpson's paradox.

Simpson's paradox is a statistical effect that arises when the marginal association between two categorical variables differs qualitatively from the partial association between the same two variables after adjusting for one or more other factors.

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T-scores show how many standard deviation units an examinee's score differs from the mean. Because T-Scores have a mean of 50 and a standard deviation of 10, any T-Score may be directly interpreted.

A t-score (sometimes known as a t-value) is the number of standard deviations from the mean of the t-distribution. The test statistic used in t-tests and regression testing is the t-score. It may also be used to represent how distant an observation is from the mean when the data follows a t-distribution. A t test is a statistical test used to compare two groups' means. It is frequently used in hypothesis testing to assess whether a procedure or treatment has an effect on the population of interest, or whether two groups vary.

Here,

T-scores reflect how many standard deviation units an examinee's score is above or below the mean. Because T-Scores always have a mean of 50 and a standard deviation of 10, any T-Score may be directly interpreted.

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The four types of transformations are Rotation, Translation, Dilation and Reflection

The term transformation in math is defined as  a process of changing the position of every point on a plane in a way that satisfies certain rules.

The four types of transformations are defined as,

1) Translation - It is the form of transformation to move each point the same distance and direction

2) Dilation - This type of transformation is to expands or contracts the shape

3) Rotation - This one will rotates each point in the shape at a certain number of degrees around that point

4) Reflection - It means that each point in the shape is reflected over a line

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Answer:

Step-by-step explanation:

your right

Answer:

Step-by-step explanation:

c=84

c+44 is going to be equal to the sum of c and c-40 because c+44 is the remote angle to both c-40 and c so you set it up as:

c + c - 40= c + 44

you simplify

2c - 40 = c + 44

you add 40 to both sides

2c = c + 84

you subtract c

and your answer is: c=84

the distance between the chord is 23 cm

It is given that AB = 30cm and CD = 16cm

Join the lines OA and OC

We know that AO = 17cm and CO = 17cm

Construct OM ⊥ CD and OL ⊥ AB

The perpendicular from the centre of a circle to a chord bisects the chord

We know that

AL = ½ × AB

By substituting the values

AL = ½ × 30

So we get

AL = 15cm

We know that

CM = ½ × CD

By substituting the values

CM = ½ × 16

So we get

CM = 8cm

Consider △ ALO

Using the Pythagoras theorem it can be written as

AO^2 = OL^2 + AL^2

By substituting the values

17^2 = OL^2 + 15^2

So we get

OL^2 = 17^2 - 15^2

On further calculation

OL^2 = 289 – 225

By subtraction

OL^2 = 64

By taking the square root

OL = √64

OL = 8cm

Consider △ CMO

Using the Pythagoras theorem it can be written as

CO^2 = CM^2 + OM^2

By substituting the values

17^2 = 82 + OM^2

So we get

OM^2 = 17^2 - 8^2

On further calculation

OM^2 = 289 – 64

By subtraction

OM^2 = 225

By taking the square root

OM = √225

OM = 15cm

So the distance between the chords = OM + OL

By substituting the values

Distance between the chords = 8 + 15 = 23cm

Therefore, the distance between the chords is 23 cm.

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A file that contains 154 megabytes occupies 22% of the available space.

We can calculate the percent of the space by using the following formula:

The percent of the space = used space / storage space × 100%

A CD-Rom holds 700 megabytes of data.

A file containing 154 megabytes occupies the space.

The percent of the space = used space / storage space × 100%

The percent of the space = 154 / 700 × 100%

The percent of the space = 0.22 × 100%

Apply the multiplication operation, and we get

The percent of the space = 22%

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To graph a line with two independent variables, you can use a three-dimensional coordinate system. The three dimensions of the coordinate system are the two independent variables and the dependent variable.

For example, suppose you have a line described by the equation y = 2x + 3z + 4. In this equation, x and z are the independent variables and y is the dependent variable. To graph this line, you would need to plot points in three-dimensional space, using the values of x, y, and z from the equation.

To do this, you can choose specific values for x and z, substitute those values into the equation to find the corresponding value of y, and plot those three values as a point in three-dimensional space. You can repeat this process for several different values of x and z to plot multiple points on the line. Once you have plotted enough points, you can connect them with a line to graph the equation in three dimensions.

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Pizza left for me equal to 0.94 part

Both rates and ratios are a comparison of two numbers.

A rate is simply a specific type of ratio.

The difference is that a rate is a comparison of two numbers with different units, whereas a ratio compares two numbers with the same unit.

For example, in a room full of students, there are 10 boys and 5 girls. This means the ratio of boys to girls is 10:5.

If we simplify the ratio, we see that the ratio of boys to girls is 2:1, since

10÷5=2and 5÷5=1

. Thus, there are 2 boys in the room for every 1 girl.

A friend ate 1/100 part of pizza 6 times

Totally , He have eaten=  1/100 * 6

                                      =3/50

3/50 part of pizza he eaten = 0.06

Total pizza = pizza eaten + pizza left

pizza left = Total pizza - pizza eaten

               = 1 - 0.06

               = 0.94

pizza left for me equal to 0.94 part

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For example, in a room full of students, there are 10 boys and 5 girls. This means the ratio of boys to girls is 10:5.

If we simplify the ratio, we see that the ratio of boys to girls is 2:1, since

10÷5=2and 5÷5=1

Thus, there are 2 boys in the room for every 1 girl.

A friend ate 1/100 part of pizza 6 times

Totally , He have eaten=  1/100 * 6

=3/50

3/50 part of pizza he eaten = 0.06

Total pizza = pizza eaten + pizza left

pizza left = Total pizza - pizza eaten

              = 1 - 0.06

              = 0.94

pizza left for me equal to 0.94 part

The system of Linear equations is; y = 7x + 3(6 - x) and the solution is;

7 scores from touchdowns

15 scores from field goals

Total score of 22

Let the number of touchdowns be x

Let the total of the home team points be y

Thus, the number of field goals = 6 - x since the team scores 6 times.

Thus, since the home team points are from 7 point touchdowns and 3 point field goals, then it means we have the equation;

y = 7x + 3(6 - x)

where;

7x is scores from touchdowns

3(6 - x) is scores from field goals

Thus;

y = 7x + 18 - 3x

y = 4x + 18

Let's try x = 1 and we have;

7(x) = 7(1) = 7 scores from touchdowns

3(6 - 1) = 15 scores from field goals

y = 4(1) + 18

y = 22

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Answer:

  no solution

Step-by-step explanation:

You want the solution to the radical equation √(2x+6) = -8.

The radical symbol is used to signify the positive square root. Whatever non-negative value (2x+6) may have, the left side expression returns a positive value for the root. It can never be equal to -8.

There is no solution to the given equation.

The value of the function at x = -9 will be 13/5. Then the correct option is A.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

f(x) = (3/5)x + 8

The degree of the function is one. Then the function is a linear function.

The value of the function at x = -9 will be given as,

f(-9) = (3/5)(-9) + 8

f(-9) = - 27 / 5 + 8

f(-9) = (- 27 + 40) / 5

f(-9) = 13 / 5

The value of the function at x = -9 will be 13/5. Then the correct option is A.

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The complete function is f(x) = (3/5)x + 8.

Formula for pyramids:

Volume V = /3 B*h

Surface area  S = B + 1/2 p*s

A pyramid's height is measured perpendicularly from its apex to its base, while its slant height is measured angularly from of the apex to the midway of one of its triangular faces.

Here are the calculations for any pyramid's volume and surface area.

Volume V = /3 B*h

Surface area S = B + 1/2 p*s

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The median of the given data is 4.5.

The middle value in a sorted, ascending, or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.

For finding the median, the data should be arranged in ascending or descending order first.

Arranging the data in ascending order, we get 1, 2, 3, 3, 4, 5, 5, 7, 7, 9.

There is an even number of observations.

Hence the median is the mean value of  (n/2)th and [(n/2)+1]th term.

Here, the 10/2th term = 5th term which is 4

[(n/2)+1]th term= 6th term which is 5

thus, 4+5/2 = 4.5

Hence, the median of the given data is 4.5.

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Answer:

f(x)

Step-by-step explanation:

f(x) changes at a constant rate   when x changes from 1 to 2 the change in y = 7      when x changes from 2 to 3 the change in y = 7   etc

the others do not change at a constant rate when x changes by one

The data represented by table number one is showing the linear relation.

A linear relationship (or linear association) is a statistical term that describes a two-variable relationship that follows a straight line.

The momentum of a variable is represented by the rate of change, which is used to mathematically describe the percentage change in value over a defined period of time. If the rate of change is constant then the relationship will be linear.

For table number one the data is,

x    F(x)

1     12

2    19

3    26

4    33

The rate of change will be,

R₁ = ( 19 - 12 ) / ( 2 - 1 )  = 7

R₂ = ( 26 - 19 ) / ( 3 - 1 ) = 7

R₃ = ( 33 - 26 ) / ( 4 - 3 )= 7

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The 4 parts of a function are Function name, Parameters ,Body, Return statement.

1. Function name: This is the name of the function, which is used to identify the function and call it when needed. It should be descriptive, so that it is easy to understand what the function does.

2. Parameters: Parameters are values that are passed into the function when it is called. They are used to provide the function with the necessary data it needs to perform its task.

3. Body: This is the code that will be executed when the function is called. It contains the instructions that the function needs to perform its task.

4. Return statement: This is the statement that is used to return the result of the function. It can be used to return a value or object. It can also be used to return a status code, such as success or failure.

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Answer:

hello im ur friend and im going to give u the answer next year

Answer:

Step-by-step explanation:Rearrange terms

3x-5+({5+6x})

Solution

9x     will that help?

Answer:

Step-by-step explanation:

(3x-5)+(5+6x)

3x-5+5+6x

3x+6x+5-5

3x+6x

9x

i think this is the right answer

Answer:

[tex]60-15\pi[/tex] square inches

Step-by-step explanation:

The area of the paper is [tex](6)(10)=60[/tex] square inches.

The area of one circle is [tex]\pi(1^2)=\pi[/tex]. So, the combined area of the circles is [tex]15\pi[/tex].

Taking the difference yields [tex]60-15\pi[/tex].

Answer: its A

Step-by-step explanation:

edge 2023

The AAS congruence rule states that if two angles and the included side of a triangle are congruent to the corresponding parts of another triangle, then the two triangles are congruent.

The AAS congruence rule is a rule used in geometry to determine when two angles are congruent, or equal. This rule states that two angles are congruent if they are both angles of a triangle and they share the same side or vertex. This rule is a part of the Angle-Angle-Side (AAS) theorem, which states that three angles and three sides of one triangle are equal to three angles and three sides of another triangle.

To prove this congruence rule, we need to use the Side-Angle-Side (SAS) congruence theorem. This theorem states that if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the two triangles are congruent. This theorem can be used to prove the AAS congruence rule, as it states that if two angles and the included side of a triangle are congruent to the corresponding parts of another triangle, then they can be used to form two sides and the included angle of a new triangle, which satisfies the conditions of the SAS congruence theorem. Therefore, the two triangles are congruent, proving the AAS congruence rule.

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We can claim that when two-digit numbers (14, 25, 36, 47, 58, and 69) are added to 27, the results are reversed.

A number is referred to be a 2-digit number when it has two digits.

The range of 2-digit numbers, which have two digits, is 10 to 99.

They can't start with zero since it will be interpreted as a single-digit number.

The digit in the tens slot might be any value between 1 and 9.

The numbers 45, 78, and 12 all have two digits, for example.

So, we know:

14 + 27 = 41

25 + 27 = 52

36 + 27 = 63

47 + 27 = 74

58 + 27 = 85

69 + 27 = 96

Therefore, we can claim that when two-digit numbers (14, 25, 36, 47, 58, and 69) are added to 27, the results are reversed.

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The median for the given set of scores is 13.

The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger.

Given,

A set of scores 19, 5, 12, 13, 14.

Arranging the set of numbers in ascending order,

=> 5,12,13,14,19

For a total of an odd number of outcomes, the median is defined as the middlemost value after sorting the data in ascending (OR) descending order.

For a total of an even number of outcomes, the median is calculated as the average of the two middlemost values after sorting the data in ascending (OR) descending order.

The total number of terms in the given data is 5, Hence the middlemost value is (5+1)/2 rd value is considered as the median,

Median= 3rd term = 13

Therefore, the median for the given set of scores is 13

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Answer: x = 1, 7, vertex is at (4, -9)

Step-by-step explanation:

       To find the x-intercepts, we will factor and solve. Finding the x-intercepts is the same as finding the solutions, where f(x) = 0. -7 and -1 multiply to 7, and -7 + -1 = -8.

y = x² - 8x + 7

y = (x - 7)(x - 1)

x = 7       x = 1

       Next, we can use this equation to help us find the x-value of the vertex.

[tex]\displaystyle \frac{-b}{2a} =\frac{8}{2(1)} =\frac{8}{2} =4[/tex]

       Then, we will substitute this value back into the equation to solve for the y-value.

y = x² - 8x + 7

y = (4)² - 8(4) + 7

y = -9

   The vertex is at (4, -9)

The 3 ways to write a linear equation is Slope-Intercept Form, Point-Slope Form, Standard Form.

1. Slope-Intercept Form: This form of linear equation is written as y = mx + b, where m is the slope of the line, x is the independent variable, and b is the y-intercept. This form of the equation can be used to graph the line by finding the x-intercept and y-intercept.

2. Point-Slope Form: This form of linear equation is written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. This form of the equation can be used to graph the line by finding a second point on the line and connecting the two points.

3. Standard Form: This form of linear equation is written as ax + by = c, where a and b are not both 0, and c is a constant. This form of the equation can be used to graph the line by finding two points that satisfy the equation.

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The  expression used to represent the binomial theorem example is equal to ( 5 + 0.1 )⁴ .

As given in the question,

Example used to represents the binomial theorem is written as:

( 5 + 0.1 )⁴

Compare it with standard form and apply binomial theorem to simplify the considered example:

( a + b )ⁿ = ⁿC₀aⁿb⁰ +  ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b² +..............+  ⁿCₙa⁰bⁿ

Here in the considered example :

value of a = 5

value pf b = 0.1

value pf n = 4

Substitute the value in the formula to get the value using binomial theorem:

( 5 + 0.1 )⁴

=  ⁴C₀5⁴(0.1)⁰ +  ⁴C₁5⁴⁻¹(0.1)¹ + ⁴C₂5⁴⁻²(0.1)² +  ⁴C₃5⁴⁻³(0.1)³ +  ⁴C₄5⁴⁻⁴(0.1)⁴

= 5⁴ + 4(5)³(0.1) + 6(5)²(0.1)² + 4(5)(0.1)³ + (0.1)⁴

= 625 + 50 + 1.5 + 0.02 + 0.0001

=676.5201

Therefore, the example of the binomial theorem is given by ( 5 + 0.1 )⁴.

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The relationship between the volume of a prism and pyramid with congruent bases and heights is that the volume of pyramid is one-third of the volume of prism.

As the prism and pyramid have congruent bases and heights, let us consider the area of the triangular base is A and the height is h.

For a prism of base area A and height h, volume is determined by the formula

Vpm = A×h

For a pyramid of base area A and height h, volume is determined by the formula

Vpd = A×h/3

From both relations for volume

Vpd = Vpm/3

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