what is the slope of the line

The first thing he should do is to define the problem to be researched and determine his data needs.

scenario (plural scenarios) a description of the storyline of a play or book. The actual screenplay, as well as any related treatments or outlines. An example of an expected or alleged series of events, expressed as an outline or model.

Intentionally casual, unfinished, and incomplete narrative depictions of significant use circumstances occurring throughout time are called scenarios. A usage scenario describes how someone might use a present system or product. The utilization of a system or product that is currently being developed is described in a design scenario.

The first thing he should do is to define the problem to be researched and determine his data needs.

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10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.

Given that,

The measurements are depicted in a segment of a circular design on the drawing.

We have to find what length is the circle's radius.

We know that,

Let us take the up line as AB and the perpendicular line is OP.

So,

In ΔOPB

∠P=90°

PB=5cm

OP is perpendicular to AB.

Sin30° = PB/OB

1/2=5/OB

OB=5×2

OB=10

Therefore, 10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.

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Answer:

sure

Step-by-step explanation:

just ask

Answer:

Only if you get it done by 11:59 tomorrow

Step-by-step explanation:

170/425=0.4

as a percent  = 40%

The amount of the money paid by the Norm as a tax will be $4903.5.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Norm has an income of $32,690. He paid a total of 15% of his income in tax.

The amount of tax paid will be calculated as,

Amount = ( 32690 x 15 ) / 100

Amount = 32690 x 0.15

Amount = $4903.5

The Norm will pay $4903.5 in taxes.

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The linear equations for cost price and selling price are c = 3x + 35 and  y = 5x.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Let Max make x cups of lemonade cup.

According to given conditions,

Cost of 1 cup of lemonade = $3.

Also, Max pay for renters fee = $35.

The cost of x cups of lemonade = 3x

The total cost c = 3x + 35

Since, Max sells lemonade for $5 per cup.

Let the selling price is represented by y,

Then selling price y = 5x

Hence, linear equations for cost price and selling price are c = 3x + 35 and  y = 5x.

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Answer: 1. 2, 4, 8, 16, 32, 64,  and 128,...... I don't know if I should keep going.

2. 5, 11, 17, 23, 29, 35, 41, and 47

Answer: 2.

Step-by-step explanation:

11+3=14

14+3=17

17+3=20

20+3=23

2. 5,11,17,23

Area of rectangle is 2x⁶ + 16x⁵ + 30x⁴ when A rectangle has a height of 2x^42x 4 2, x, start superscript, 4, end superscript and a width of x^2+8x+15x 2 +8x+15x, squared, plus, 8, x, plus, 15.

The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth. When calculating a rectangle's area, we multiply the length by the width of the rectangle. The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Given

Rectangle's height = 2x⁴

Rectangle's width = x² + 8x + 15

Area of rectangle

Height × Width

2x⁴ × x² + 8x + 15

2x⁶ + 16x⁵ + 30x⁴

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184,219,440 ways.

What is contestant?

A participant in a contest or competition is known as a contestant. A contestant is someone who challenges election results.

There are 570 contestants, and any one of them can win the first prize.

One of the remaining 569 people can receive the second prize.

Third may be assigned to any of the remaining 568.

We can accomplish this in 570*569*568 ways

= 184,219,440 ways.

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Answer:

54 mi/hr

Step-by-step explanation:

[tex]\frac{226.8}{4.2}=54[/tex] mi/hr

Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

L x W x H

L=3

W=3

H=3

3x3x3=27

The value of the expression will be;

⇒ 211 miles

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 68 miles + 10 fewer miles + 85 miles

Now,

Since, The expression is,

⇒ 68 miles + 10 fewer miles + 85 miles

Hence, We get;

⇒ 68 miles + 10 fewer miles + 85 miles

⇒ 68 + (68 - 10) + 85

⇒ 68 + 58 + 85

⇒ 211

Thus, The value of the expression = 211 miles

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Step-by-step explanation:

16-5= 11

hope it's helpful

The first statement is false and answer to second statement is no.

The mentioned information does not state that x and y are linearly related or not. If they are not related in linear way, the mean value of y would not be located at the mean of the x values.

Confidence intervals indicate the mean or population of the sample. For the confidence interval of sales of pizza stores, the similar data would be required for comparison using statistics tool. Hence, the relevant data should be sales of nearby pizza stores till now. Thus, the mentioned statement is irrelevant.

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Yousef will be type 54 words in a minute approximately.

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The Volume of the Pyramid=19.19in³

Surface Area of  the Pyramid=48.65in²

Volume is a unit of measurement for the area occupied in three dimensions. It is widely quantified and measured using SI-derived units, alternative imperial units, or US standard units (such as the gallon, quart, cubic inch). Volume and length (cubed) have a similar meaning.

First, volume was calculated using naturally occurring vessels with a similar shape, and then using standardized containers. Calculating the volume of numerous common three-dimensional forms is made simple by arithmetic formulas. The volumes of increasingly complicated shapes can be calculated using integral calculus.

Given that,

Height of the pyramid =4.7

Pyramid's slant height= 5.2

Base of pyramid is a square with side=3.5

Volume of the pyramid=(1/3)(3.5×3.5)×(4.7)

=19.19 in³

The surface area of a pyramid=((1/2)×(4×3.5)×5.2)+(3.5×3.5)

=18.65in²

Therefore, the volume of the pyramid=19.19 in³

And the surface area of the pyramid=18.65in²

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The formula for the exponential function is V = 5000 (2)^(−t/4).

What is an exponential function?

A function whose value is a constant raised to the power of an argument is called an exponential function.

Here, we have

The value of an item initially worth $5000 loses half its value every 5 years.

V = V₀eˣⁿ

At t = 0,V = V₀

So, V = 5000eˣⁿ

At t = 4,V = V₀/2 = 2500

Substituting these into our equation, we have

5000e^(4k) = 2500

e^(4k) = 12

4k = −ln2

k = −ln2/4

Finally, we have our equation

V = 5000e^(−tln2/4 )

V = 5000(e^ln2)^(−t/4)

V = 5000 (2)^(−t/4)

Hence, the formula for the exponential function is V = 5000 (2)^(−t/4).

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Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data is a true statement.

Therefore, it is true that extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that outside the x-range.

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The position in the sequence for the given sequence will be 2n + 1. Then the correct option is C.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence is given below.

3, 5, 7, 9, 11, ...

The first term is 3. And the common difference is given as,

d = 5 - 3

d = 2

Then the position in the sequence for the given sequence will be given as,

aₙ = 3 + (n - 1) · 2

aₙ = 3 + 2n - 2

aₙ = 1 + 2n

The position in the sequence for the given sequence will be 2n + 1. Then the correct option is C.

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1. y = 2x + 3

2. y = x^2 + 5x - 3

3. y = -2x^2 + 7x – 4

are the 3 examples of equation with y intercept.

1. The first example is a linear equation, which has the form of y = mx + b, where m is the slope and b is the y-intercept.

2. The second example is a quadratic equation, with the form of y = ax^2 + bx + c, where a, b, and c are coefficients.

3. The third example is also a quadratic equation, with the form of y = ax^2 + bx + c, where a, b, and c are coefficients.

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From the given combination, there are 280 ways to select a three-course meal.

What is the combination?

Combinations are ways of choosing things from a collection when the order of the choices does not matter. The number of selections is denoted by [tex]^{n} C_{r}[/tex] if you have to choose "r" items from "n" things.

Given, 7 appetizers, 10 entrees, and 4 desserts

To select a three-course meal, we will choose 1 item from each course.

i.e. 1 appetizer from 7 appetizers

AND

1 enter from 10 entrees

AND

1 dessert from 4 desserts

So, For appetizers, selections = [tex]^{7} C_{1}[/tex]

For entrees, selections = [tex]^{10} C_{1}[/tex]

For desserts, selections = [tex]^{4} C_{1}[/tex]

Total possibilities =  [tex]^{7} C_{1}[/tex] * [tex]^{10} C_{1}[/tex]* [tex]^{4} C_{1}[/tex] = 7*10*4 = 280

Hence, there are 280 ways to select a three-course meal.

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Answer:

2 inches

Step-by-step explanation:

volume of a cone: 1/3 π r^2 h

h = 12

1/3 π r^2 (12) = 16π

4πr^2 = 16π

r^2 = 16π/4π

r^2 = 4

r = 2

The probability that he at least misses one is equal to 61/125.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given in the question

basketball player makes 80% of his free throw attempts i.e.

P(Success) = 4/5 or 0.8

P(Miss the attempt) = 1 - 0.8 = 0.2 or 1/5

Number of sample (n) = 3

We need to calculate probability that he at least misses one i.e.

P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0)

Here we will use binomial probability distribution which can be calculated as

P(X = n |N, p)= NCn x (p^n) x (1-p)^(N-n)

P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0) = 1 - 3C0 x (1/5)^0 x (1 - 1/5)^(3-0)

=  1 - (1 x 1 x 64/125) = 1 - 64/125 = 61/125

Hence, the probability that he at least misses one is equal to 61/125.

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After solving the fractions, we can conclude that the fraction left for the pay birthday party is 17/3.

An element of a whole is a fraction.

The number is represented mathematically as a quotient, where the numerator and denominator are split.

Both are integers in a simple fraction.

A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

So, calculate as follows:

1 * 1/4 = 1/4 ...(1)

1/4 * 2/3 = 2/12 ...(2)

2/12 * 1/10 = 2/120 ...(3)

Fraction left to pay:

1 - (1/4 + 2/12 + 2/120)

1 - (30+20+2/120)

1 - (52/120)

1 - 13/30

30-13/30

17/30

Therefore, after solving the fractions, we can conclude that the fraction left for the pay birthday party is 17/3.

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Part A: The system of equations  is

6x + 4y= 212

3x + 5y= 202

Part B: The solution of the system of equation is x= 14 and y= 32

Parte C: The solution means that the price of t-shirts and the price of swatshirts are $14 and $32 respectively.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

A solution to a system of two or more linear equations is a solution that simultaneously satisfies all the equations in the system.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

6x + 4y= 212

3x + 5y= 202

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "y" from the first equation:

4y= 212 - 6x

y= (212 - 6x)÷ 4

y= 212÷4 - 6÷4x

y= 53 - 3/2x

Substituting this expression in the second equation:

3x + 5×(53 - 3/2x)= 202

Solving:

3x + 5×53 - 5×3/2x= 202

3x + 265- 15/2x= 202

3x - 15/2x= 202 - 265

-9/2x=-63

x= (-63)÷ (-9/2)

x= 14

Remembering that y= 53 - 3/2x, you get:

y= 53 - 3/2×14

y= 32

The solution of the system of equation is x= 14 and y= 32. This means that the price of t-shirts is $14 and the price of swatshirts is $ 32.

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k'(4, -7)

L'(9, -7)

M'(6, -5)

N'(5, -5) are the new coordinates of the vertices.

Coordinates of a point:

A point's coordinates are a pair of numbers that pinpoint where it is precisely on a two-dimensional plane.

Remember that the x and y axes are two axes that are at right angles to one another and make up the coordinate plane.

A particular point's coordinates show how far along each axis it is situated.

The coordinate's sign is crucial. A positive number indicates moving upward or to the right (x) (y).

Negative numbers indicate turning left (x) or falling (y).

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The probability that Jeff wins exactly 1 prize is (3/4)³

According to the question,

A fast-food restaurant runs a promotion in which certain food items come with game pieces

Let the event of winning the game piece be A and x be the random variable for winning prize

So, Probability of Winning the game = P(A) = p = 1/4

Probability of not winning = q = 1 - 1/4

=> q = 3/4

Using Binomial distribution,

The Probability that he wins exactly 1 prize = P(x = 1)

=> P(x) = ⁿCₓ pˣ qⁿ⁻ˣ

Here, n = 4 , x = 1

P(1) = ⁴C₁ p¹ q³

=> 4 × (1/4)( 3/4)³

=> (3/4)³ is probability that jeff wins exactly 1 prize

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Homogeneity and additivity are the two conditions for a system to be linear.

A system is called Linear if it has two mathematical properties, homogeneity and additivity. If you can show that system has both properties, then you have proven that the system is linear.

Homogeneity means that a change in the input signal's amplitude results in a corresponding change in the output signal's amplitude.

Principle of Homogeneity states that dimensions of each of the terms of a dimensional equation on both sides should be the same.

Additivity means signals added at the input produce signals that are added at the output.

The  value of a magnitude corresponding to a whole object is equal to the sum of the values of the magnitudes corresponding to its parts for any division of the object into parts.

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The vertex in triangle ABC is at point A, B, and C.

Step by Step explanation :

Given triangle is represented by ΔABC

Therefore, the vertex of the given triangle ABC is given by point A, B , and C.

The complete question is:

Where is the vertex in  triangle ABC?

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