Fill in the table with the rule y = 2x-2 X: -3, -2, -1, 0, 1, 2, 3, 4 Y: _, _, _, _, _, _, _, _.​

Answer:

slope of line is 0.

Step-by-step explanation:

Slope of a line passing through (x1,y1) and (x2,y2) is given by

m = (y2-y1)/(x2-x1)

Given points are  (10,5) and (9,5)

thus

slope = (5-5)/(9-10) = 0/-1 = 0

Thus, slope of line is 0.

When slope of line is zero it means that the line the which passes through given point is parallel to x-axis.

The slope of the line that passes through the points (10,5) and (9,5) is 0.

Using slope formula,

m = y₂ - y₁ / x₂ - x₁

Therefore,

(10,5) (9,5)

m = 5 - 5 / 9 - 10

m = 0 / -1

m = 0

Therefore, the slope of the line that passes through the points (10,5) and (9,5) is 0.

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The domain and range of the functions are:

Function (A):

Function (B):

So, the domain and range of the function:

Function (A):

Function (B):

Therefore, the domain and range of the functions are:

Function (A):

Function (B):

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The estimated regression equation by the least squares method minimizes the sum of squared differences between observed values and predicted values.

The least squares method is used in regression analysis to find the line or curve that best fits a given set of data points. It achieves this by minimizing the sum of squared differences (also known as residuals) between the observed values and the corresponding predicted values from the regression equation. The "sum of squared differences" refers to the sum of the squared vertical distances between each data point and the regression line. By squaring the differences, larger deviations from the regression line have a greater impact on the overall sum. Minimizing this sum ensures that the estimated regression equation provides the best possible fit to the data points by reducing the overall error between the observed values and the predicted values. In summary, the least squares method finds the estimated regression equation that minimizes the sum of squared differences, allowing us to model and predict the relationship between variables based on the best fit to the given data.

The estimated regression equation by the least squares method minimizes the sum of squared differences between observed values and predicted values.

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Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

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The number sentence that shows that April can use the distributive property is; Option D: 6 × (40 + 2) = (6 × 40) + (6 × 2)

The distributive property of algebra states that you can "distribute" the contents of one parentheses into the other to find an answer.

For example, we have the equation; a(b + c)

Using distributive property, we now have;

ab + ac

No, we are told that April wants to multiply 6 and 42 using the distributive property. Looking at the options, we can tell that the number sentence that shows she can do it is option D. This can be shown as;

6 × (40 + 2) = (6 × 40) + (6 × 2)

This is because 42 can also be expressed as 40 + 2 and multiplying both by 6 shows distributive property in use.

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The missing options are;

6 × 42 = 42 × 6

6 × (40 + 2) = (6 × 40) + 2

(6 × 42) × 1 = 6 × (42 × 1)

6 × (40 + 2) = (6 × 40) + (6 × 2)

Options :

A. 6 cups of flour

B.7 cups of flour

C.8 cups of flour

D.9 cups of flour

Answer:

B.7 cups of flour

Step-by-step explanation:

Given the following :

Cups of flour required to make muffins = 3 1/5

Cups of flour required to make banana = 3 2/3

Number of cups of flour required to make both recipe :

(cups of flour required to make muffins + cups of flour required to make bread)

(3 1/5 + 3 2/3) = 3+3+(1/5 + 2/3)

= 6 + (1/5 + 2/3) = (3 + 10)/15 = 6 + (13/15)

6 13/15 = 6.8666666

The best estimate is to round to the nearest whole number = 7

Answer: The answer is 7

Step-by-step explanation:

I got it right in my quiz! Hope this helps (:

Answer:

$7.25 is the answer

Step-by-step explanation:

In the expression:

The coefficient is the number 2, and it is beside x. The number 2 represents the number of tickets Mollie is buying.

The x will represent the money Mollie will need to pay to buy the tickets.

Therefore, the correct option is option B.

The transformations applied to f(x) to produce g(x) are a vertical dilation by a factor of 3 and a vertical shift down 2 units. The correct answer is option C.

To analyze the transformations applied to the function f(x) to produce the function g(x) = 3f(x) - 2, let's break it down step by step.

1. The first transformation is a vertical dilation. The factor 3 multiplies the original function, f(x). This means that the output values (y-values) are being multiplied by 3, leading to a vertical dilation by a factor of 3.

2. The second transformation is a vertical shift. The function g(x) is subtracting 2 from the original function f(x), meaning that the entire graph of f(x) is being shifted down by 2 units.

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Answer:

I think its 967.22 (2dp) I'm sorry if it's wrong

Step-by-step explanation:

use formula 2*pi *r

Step-by-step explanation:

no graphs included. need photos or words to answer.

Answer: Its B (FtG)(x)

Step-by-step explanation:

Answer:

√22

√19

√21

√18

Step-by-step explanation

The answers are √22, √19, √21, √18.

Decimal numbers are 'in between' numbers. For example, 10.4 is in between the numbers 10 and 11. It is more than 10, but less than 11.

Given that, there are numbers, √22, √19, √21, √18, we need to determine they fall between which pairs of decimal numbers given,

√22 = 4.69

So, 4.69 will be in between 4.6 and 4.7

√19 = 4.35

So, 4.35 will be in between 4.3 and 4.4

√21 = 4.58

So, 4.58 will be in between 4.5 and 4.6

And,

√18 = 4.24

So, 4.24 will be in between 4.2 and 4.3

Hence, the answers are √22, √19, √21, √18.

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The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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Answer: I think it’s d

Step-by-step explanation:

The probability of selecting a King or 5 from a standard deck of 52 cards is 2/13.

Since events A and B are independent, we can use the formula P(A and B) = P(A) * P(B) to find the probability of both events occurring simultaneously.

Given:

P(A) = 0.4645

P(B) = 0.7438

Using the formula, we have:

P(A and B) = P(A) * P(B)

          = 0.4645 * 0.7438

          = 0.3448 (rounded to 4 decimal places)

Therefore, the probability of events A and B both occurring is approximately 0.3448.

Now, let's calculate the probability of selecting a King or 5 from a standard deck of 52 cards.

There are 4 Kings and 4 5s in a deck, and since they are mutually exclusive, we can use the formula P(A or B) = P(A) + P(B) to find the probability of either event occurring.

P(King) = 4/52 (since there are 4 Kings in a deck of 52 cards)

P(5) = 4/52 (since there are 4 5s in a deck of 52 cards)

P(King or 5) = P(King) + P(5)

            = 4/52 + 4/52

            = 8/52

            = 2/13 (reduced fraction)

Therefore, the probability of selecting a King or 5 from a standard deck of 52 cards is 2/13.

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The interest is $57 on a $1900 investment at 3% for 1 year

Given,

In the question:

Principal = $1900

Rate of interest = 3%

Time = 1

Now, According to the question:

Principal = $1900

Rate of interest = 3%

Time = 1

Substitute:

Principal = $1900

Rate of interest = 3%

Time = 1  into formula Interest = P x R x T

I = 1900 x 0.03 x 1

Calculate the product or quotient:

I = 57

Hence, The interest is $57 on a $1900 investment at 3% for 1 year.

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Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Answer:

476 Pi cm^2

Step-by-step explanation:

The surface area of a cone is given by the formula:

● Sa = Pi× r^2 + Pi×r×l

r is the radius and l is the slant heigth.

■■■■■■■■■■■■■■■■■■■■■■■■■■

We are given that:

● r = 14 cm

● l = 20 cm

Let's calculate Sa

● Sa = Pi×14^2 + Pi × 14 × 20

● Sa = 476 Pi cm^2

Answer:

Step-by-step explanation:

Hope fhat hep,ed skdnfsu. Soidhf scodfiysldm vij fhu idnvcmdlc

Step-by-step explanation:

the perfect squares =

81, 121, 625

The speed in kilometres per hour is 28.8 km/hr.

The distance in kilometres the cyclist will travel in 5 hours is 144 km.

A cyclist rides her bike at a speed of 18 miles per hour. The speed in kilometres per hour an be calculated as follows;

1 miles = 1.6 km

18 miles = ?

cross multiply

distance in km = 18 × 1.6

distance in km = 28.8 km

Therefore, the speed  in kilometres per hour is 28.8.

The kilometres the cyclist will travel in 5 hours can be calculated as follows;

speed = distance / time

28.8 = d / 5

cross multiply

distance travelled in km = 28.8 × 5

Therefore,

distance travelled in km = 144 km

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Step-by-step explanation:

Answer:

Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.

Step-by-step explanation:

The monthly required payment of the finance can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = M * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or finance amount = $12,000

M = Finance’s monthly required payment = ?

r = Monthly interest rate = Annual interest rate / 12 = 17.9% / 12 = 0.179 / 12 = 0.0149166666666667

n = number of months = Number of years * 12 = 5 * 12 = 60

Substitute the values into equation (1) and solve for M, we have:

$12,000 = M * ((1 - (1 / (1 + 0.0149166666666667))^60) / 0.0149166666666667)

$12,000 = M * 39.464764662266

M = $12,000 / 39.464764662266 = $304.07

Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.

Answer:

21000

Step-by-step explanation:

To find estimate, round all the values to the nearest thousands

5,789 is 6000

8,356 is 8000

6,561 is 7,000

add.

6000+8000+7000

21000

Answer:

21,000

Step-by-step explanation:

Round each number:

Add the rounded numbers:

I hope this helps!

In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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In the a/b/c classification of analytical queuing models, the term g refers to a general distribution with mean and variance.[TRUE]
Common Queue Model Notation ( A / B / C );( D / E/ F )
 Where :
 A = distribution of time between arrivals (arrival distribution)
 B = service time distribution
 C = number of service channels/service facilities in the system (s = 1, 2, 3, … , ∞)
 D = queuing discipline
 E = size of population or resource
 F = maximum number of consumers allowed in the system (in service plus waiting line)
Information :
 1. For A and B, the following codes can be used:
 M = Poisson distribution or exponential distribution (Markovian)
 D = Degeneracy Distribution (constant time)
 Ek = Erlang distribution
 G = General distribution
 2. For C, a positive integer is used which represents the number of services.
 3. For D, use the replacement codes FIFO, LIFO, or SIRO.
 4. For E and F, use the code:
 N = Limited quantity
∞ = Infinity

For example, queuing system M/M/1 means Poisson distribution for arrival and Exponential distribution for service time and one server. Queuing system M/M/2 has customers arrive according to Poisson distribution with Exponential distribution for service time and the system has two servers. Queuing system M/D/3 indicates that the customers arrive according to Poisson distribution while the service time is constant with 3 servers.

More comprehensive Kendall notation consists up to 6 letters: a/b/c/d/e/ff

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Using trigonometric identity, cos(2θ-1) / cos(2θ+1) is equal to [(1 - 2tan^2(θ))cos(1) + 2tan(θ)sin(1)] / [(1 - 2tan^2(θ))cos(1) - 2tan(θ)sin(1)]

We can use the trigonometric identity:

cos(2θ) = 1 - 2sin^2(θ)

to rewrite the expression as follows:

cos(2θ-1) = cos(2θ)cos(1) + sin(2θ)sin(1) = (1 - 2sin^2(θ))cos(1) + 2sin(θ)cos(θ)sin(1)

Similarly,

cos(2θ+1) = cos(2θ)cos(1) - sin(2θ)sin(1) = (1 - 2sin^2(θ))cos(1) -  2sin(θ)cos(θ)sin(1)

Dividing these two expressions, we get:

cos(2θ-1) / cos(2θ+1) = [(1 - 2sin^2(θ))cos(1) + 2sin(θ)cos(θ)sin(1)] / [(1 - 2sin^2(θ))cos(1) - 2sin(θ)cos(θ)sin(1)]

Now, we can use the identity:

tan(θ) = sin(θ) / cos(θ)

to simplify the expression. Specifically, we can express sin(θ) in terms of tan(θ) and cos(θ) as follows:

sin(θ) = tan(θ)cos(θ)

Substituting this into the expression for cos(2θ-1) / cos(2θ+1), we get:

cos(2θ-1) / cos(2θ+1) = [(1 - 2tan^2(θ))cos(1) + 2tan(θ)sin(1)] / [(1 - 2tan^2(θ))cos(1) - 2tan(θ)sin(1)]

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The surface area and the lateral area of the prism is 108m² and 96 m² respectively.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of a prism is expressed as;

SA = 2B +ph

where B is the base area and p is the perimeter of the base and h is the height of the prism.

The base area = 1/2 bh

= 1/2 × 4 × 3

= 2 × 3

= 6m²

The perimeter of the base = 3 + 4 + 5

= 12 m

SA = 2 × 6 + 12 × 8

= 12 +96

= 108m²

The lateral area = p × h

= 12 × 8

= 96 m²

Therefore the surface area and lateral area is 108m² and 96 m² respectively.

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Answer:

hyp=12.76

Step-by-step explanation:

sin36=opp/hyp

hyp=opp/sin36

hyp=7.5/sin36

hyp=12.76 rounded to the nearest hundredth

Answer:

Step-by-step explanation:

a)

The original figure is ABC and the image is A'B'C'.

We can see the image is larger than the original figure.

It indicates that the dilation is an enlargement.

b)

Find the ratio of corresponding sides to find the scale factor.

First get the measure of corresponding line segments.

The scale factor is:

#1

#2

Take two sides of both

Scale factor:-