Aline passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
O y=-3x+1
O y=zx+7
O y=-2x -8
O y = 2x + 16

Answer: 9-3x

Step-by-step explanation:

You add like terms

don't look at the 3x for now

positive 7 + positive 2 = 9

there is a negative sign next to 3x

9 goes first so

9 - 3x

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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Answer:

9

Step-by-step explanation:

Answer:

lessons he must complete: 15= 2x-6

Step-by-step explanation:

On the left side of the equation you have 15 hours which is what he must fulfill. X represents number of lessons he must complete. You convert the lessons to hours by multiplying by two because that is how long each lesson is. Im not sure if your teacher wants u to put 2x-6=15 or 2x= 11. Most likely the first answer

Step-by-step explanation:

2 1/3

=2*3+1/3

=7/3

a. There are three independent variables in a 4 x 2 x 3 factorial design.

b. There are four possible main effects in a 4 x 2 x 3 factorial design, one for each independent variable.

c. There are 24 different conditions in a 4 x 2 x 3 factorial design, which is the product of the levels of each independent variable (4 x 2 x 3 = 24).

d. There are several possible interactions in a 4 x 2 x 3 factorial design, including two-way and three-way interactions between the independent variables.

a). In a factorial design, the independent variables are systematically manipulated in all possible combinations. In a 4 x 2 x 3 factorial design, there are three independent variables, each with a different number of levels.

The first independent variable has four levels, the second independent variable has two levels, and the third independent variable has three levels.

Therefore, there are three independent variables in this design.

b). A main effect is the effect of a single independent variable on the dependent variable, averaged across all levels of the other independent variables.

In a 4 x 2 x 3 factorial design, there are three independent variables, each of which can have a main effect. Therefore, there are three possible main effects in this design.

Additionally, there can be two-way and three-way interactions between the independent variables, which can also affect the dependent variable. However, a main effect is distinct from an interaction effect and is not dependent on any other independent variables.

c).The number of different conditions in a 4 x 2 x 3 factorial design is calculated by multiplying the number of levels for each independent variable.

In this case, the first independent variable has four levels, the second independent variable has two levels, and the third independent variable has three levels.

Therefore, the total number of different conditions is obtained by multiplying these three numbers (4 x 2 x 3 = 24). Each condition represents a unique combination of the levels of the three independent variables.

d). Interactions in factorial designs occur when the effect of one independent variable on the dependent variable depends on the level of another independent variable. In a 4 x 2 x 3 factorial design, there are several possible interactions between the independent variables.

For example, there may be a two-way interaction between the first and second independent variables, meaning that the effect of the first independent variable on the dependent variable depends on the level of the second independent variable.

Similarly, there may be a two-way interaction between the second and third independent variables, or between the first and third independent variables.

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O centroid

Step-by-step explanation:

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Please find attached the drawing of the histogram of the given data

created with MS Excel.

The statement that is true about the histogram is the option;  

Reasons:

The given data sorted in increasing order are presented as follows;

From the data given above, we have;

The number of data points, n = 15

The median, Q₂ = (n + 1)÷ 2th data point = The 8th term = 7.5

The mean = 7.433

The data points in 1 minute increments are presented as follows;

5.5 to 6.5 = 5 data points

6.5 to 7.5 = 4 data points

7.5 to 8.5 = 3 data points

8.5 to 9.5 = 2 data points

9.5 to 10.5 = 1 data point

Therefore, most of the data are between 5.5 to 8.5, with one-third of the data being within the class 5.5 to 6.5 range.

Therefore, the histogram is right skewed.

The median is given by the value at which the graph is shared into equal halves.

The mean is given by the sum of the values divided by the number of values.

Therefore, the statement that is true about the histogram is; A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.

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Answer:

A. 3x +3

B. 10x + 4

C. 30x - 50

D. -12x - 21

Step-by-step explanation:

A. 3(x + 1)

1. Multiply 3 times x = 3x

2. Multiply 3 times 1 = 3

3. Put them together 3x + 3

4. Repeat process for other problems.

Let me know if you have any other questions :)

Answer:

3 people

$9.5 left over

Step-by-step explanation:

pp = 18 + 22.75

pp = 40.75

total people who can go = 131.75/pp

tp = 131.75/pp

tp = 3 remainder $9.5

(this is if they all arrive in individual cars)

The number of people that can go to the amusement park are 5 .

First, we need to find the amount left after deducting parking charges. Then the remaining amount can be divided by the price of one ticket to find out how many persons can buy the ticket from the same amount.

Thus, 5 number of persons can go to the amusement park.

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yes, for your x to be positive and to make it remain on the left hand side you actually have to add 4x to both side to eliminate x from the right hand side.

The reduced fraction is 6/7 using GCF method.

What is GCF method?

The largest number, which is the factor of two or more number is called the Greatest Common Factor (GCF). It is the largest number (factor) that divide them resulting in a Natural number. Once all the factors of the number are found, there are few factors which are common in both. The largest number that is found in the common factors is called the greatest common factor. The GCF is also known as the Highest Common Factor (HCF)

Given,

the fraction = 24/28.

the factors of 24  = 2×2×2×3

The factors of 28 = 2×2×7

The gcf is 2 × 2 = 4

divide the denominator and numerator by 4

24 ÷ 4 = 6

28÷ 4 = 7

We get,

the fraction = 6/7.

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Answer:

9 feets

Step-by-step explanation:

From the question, we have our scale factor as:

4:9 = 4/9

Smaller circle /Bigger circle = 4/9

A circle has a radius of 4 feet. What is the radius of a bigger circle?

Let the radius of the bigger circle = x

This is calculated as:

4/9 = 4/x

Cross Multiply

4x = 9 × 4

x = 36/4

x = 9 feet

Therefore, the radius of the bigger circle is 9 feet

The derivation of the six shape functions for the 6-node triangle element involves the use of the natural coordinates ξ, η, and ζ.

These shape functions, denoted as N1, N2, N3, N4, N5, and N6, are derived by expressing the interpolation functions in terms of these coordinates. Each shape function represents the contribution of a particular node to the overall deformation of the element. The derivation process involves defining basis functions and applying suitable interpolation schemes to obtain the final expressions for the shape functions.

The six shape functions for the 6-node triangle element can be derived by using an interpolation scheme based on the natural coordinates ξ, η, and ζ. These coordinates are typically used to map the element's interior within the reference triangle. The shape functions are expressed as a combination of the basis functions multiplied by the natural coordinates.

The derivation begins by defining the basis functions for the natural coordinates as follows:

ξ basis function: N1 = ξ(2ξ-1)

η basis function: N2 = η(2η-1)

ζ basis function: N3 = ζ(2ζ-1)

Next, interpolation schemes are applied to define the shape functions associated with each node of the 6-node triangle element. The interpolation schemes involve considering the contributions from neighboring nodes and combining them with the basis functions. The resulting shape functions are as follows:

N4 = 4ξη

N5 = 4ζη

N6 = 4ξζ

These shape functions represent the contributions of each node to the overall deformation of the element. They are used in finite element analysis to approximate the displacement field within the element based on the given nodal values.

The derivation of the six shape functions for the 6-node triangle element involves defining basis functions based on the natural coordinates and applying interpolation schemes to obtain the final expressions for the shape functions. These shape functions represent the contributions of the respective nodes to the deformation of the element and are used in finite element analysis to approximate the displacement field.

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Answer:

x=6

Step-by-step explanation:

We can use ratios to solve

18              4x+6

--------- = -------------

24               40

Using cross products to solve

18*40 = 24 * (4x+6)

720 = 24*(4x+6)

Divide each side by 24

720/24 = 24/24 (4x+6)

30 = 4x+6

Subtract 6 from each side

30-6 = 4x+6-6

24 = 4x

Divide each side by 4

24/4 = 4x/4

6 = x

Answer:

182

Step-by-step explanation:

the solution to the equation 32x - 1 = 243 is x = 7.625

To solve the equation 32x - 1 = 243, we can follow these steps:

1. Add 1 to both sides of the equation to isolate the term with the variable:

  32x - 1 + 1 = 243 + 1

  32x = 244

2. Divide both sides of the equation by 32 to solve for x:

  (32x) / 32 = 244 / 32

  x = 244 / 32

Simplifying further:

  x = 7.625

Therefore, the solution to the equation 32x - 1 = 243 is x = 7.625.

None of the given options (A, B, C, D) match the solution.

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a) The break-even points for the given cost and revenue functions are approximately x = 16.526 and x = 6.474.

b) The break-even points for the given cost and revenue functions are approximately x = 12.225 and x = 62.775.

c) The maximum profit for the given cost and revenue functions is approximately $843.75.

a) To find the break-even points, we need to determine the values of x where the total costs (C(x)) equal the total revenues (R(x)). We set C(x) = R(x) and solve for x:

C(x) = R(x)

1760 + 8x + 0.6x² = 100x - 0.4x²

Combining like terms and rearranging the equation, we get:

1x² - 92x + 1760 = 0

Solving this quadratic equation, we find two solutions for x:

x ≈ 16.526

x ≈ 6.474

b) Similarly, we set C(x) = R(x) and solve for x:

900 + 25x = 100x - x²

Rearranging the equation, we get:

x² - 75x + 900 = 0

Solving this quadratic equation, we find two solutions for x:

x ≈ 12.225

x ≈ 62.775

c) To find the maximum revenue, we need to determine the vertex of the revenue function R(x) = 100x - x². The x-coordinate of the vertex is given by x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -1 and b = 100. Plugging in the values, we get:

x = -100 / (2 * -1) = 50

Substituting this value back into the revenue function, we find:

R(50) = 100(50) - (50)² = 5000 - 2500 = 2500

Therefore, the maximum revenue for the given cost and revenue functions is $2500.

To find the maximum profit, we need to subtract the total costs from the total revenues. Given that the cost function is C(x) = 900 + 25x, the profit function is P(x) = R(x) - C(x). Substituting the revenue and cost functions, we have:

P(x) = (100x - x²) - (900 + 25x)

P(x) = -x² + 75x - 900

To find the maximum profit, we need to determine the vertex of the profit function. Using the same formula as before, we find:

x = -75 / (2 * -1) = 37.5

Substituting this value back into the profit function, we find:

P(37.5) = -(37.5)² + 75(37.5) - 900 ≈ 843.75

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Answer:x=0 and x=10

Step-by-step explanation:

Answer:

\(x = 15.\)

Step-by-step explanation:

\(4x/5-x=X/10-9/2 = > \\ \frac{4x}{5 - x} = \frac{x}{10} - \frac{9}{2} \\ (20)4x = 2x(5x - x) - 10(5x - x) \\ 80x = 10 {x}^{2} - {2x}^{2} - 50x + 10x \\ 8 {x}^{2} - 120x = 0 \\ {x}^{2} = 15x \\ x = 15.\)

use Pythagoras theorem,

a² + b² = c²

x² + 12² = 14²

x = √(14² - 12²)

x = 7.2111

x = 7.21 units.

Answer:

the slope of the line is -2

Answer:

a = 2/5 or 0.4 (a is the slope value)

Step-by-step explanation:

y-int=-2

x-int=5

| x-int | / | y-int | = slope

|-2| / |5| = 2/5

Answer:

a) 6.10

Step-by-step explanation:

if you want to figure out the total number spent, then you simply add together the two amounts to get:

3.25+2.85=6.10

p.s. dont post such simple questions on brainly

Answer: a. $6.10

Step-by-step explanation:

2.85 + 3.25 = (2+3)+(.85+.25) = (5)+(1.10)=6.10
therefore, $6.10 is the right answer

Answer:

Child = $ 10.00

Adult = $ 14.00

Step-by-step explanation:

The number of times scientific books were sold compared to mystery books is 1000 times or one thousand times.

The numbers provided to represent the number of copies that were sold from each book are given in scientific notation. In this type of notation, the exponent represents the number of zeros. Based on this principle, the number of books sold from each type is:

To find out this, simply divide the number of science fiction book copies into the number of mystery book copies:

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The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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answer:     12          

explanation:

Note that the solution to y in the above-given matrix is 29/4 or 7.25

The matrix equation can be written in the form:

| 2  7 |   | x |   | 8 |

| 2  6 | * | y | = | 6 |

We can solve for y by first isolating the matrix with y on one side of the equation, and then applying matrix inverse to both sides. Here are the steps:

Step 1: Transpose the matrix on the left side

| x |   | 2  2 |^-1   | 8 |

| y | = | 7  6 |    * | 6 |

Step 2: Find the inverse of the matrix on the left side. The inverse of a 2x2 matrix [a, b; c, d] is given by 1/(ad - bc) * [d, -b; -c, a]. Applying this formula, we get:

| x |   | -3/4  1/4 |   | 8 |

| y | = |  7/4 -1/4 | * | 6 |

Step 3: Multiply the two matrices on the right side. We get:

| x |   | -3/4  1/4 |   | 8 |   |  1 |

| y | = |  7/4 -1/4 | * | 6 | = |  1 |

| x |   | -3/4*8 + 1/4*6 |   |  1 |

| y | = |  7/4*8 - 1/4*6 | = | 29/4 |

Therefore, the solution is y = 29/4.

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If the cost of one paperback book is less than $1, he would receive even more change.

To solve this problem, we need to know the cost of one paperback book. Unfortunately, that information is missing from the question. Without it, we cannot determine the total cost of the 5 paperback books and therefore cannot calculate Prakash's change.

However, we can make an educated guess based on the fact that the question mentions both paperback and hardcover books. Typically, hardcover books are more expensive than paperbacks, so we can assume that the cost of one paperback book is less than the cost of one hardcover book.

Assuming that each hardcover book costs $10, the total cost of 3 hardcover books would be $30. If Prakash gives the clerk $20 bills, he would pay $60 in total. If we subtract the cost of the 3 hardcover books ($30) from the total amount paid ($60), we are left with $30.

This is the maximum amount of change Prakash could receive if each paperback book costs $1.

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Answer:

14+14 + 4pi= 28 + 4pi

\(\pi\)