when calculating a multiplicative seasonal index, what mathematical operator is used to relate the trend and seasonal factor?

Answer:

polynomial example

example of a polynomial

this one has 3 terms

To add polynomials we simply add any like terms together ... so what is a like term?

Like Terms

Like Terms are terms whose variables (and their exponents such as the 2 in x2) are the same.

In other words, terms that are "like" each other.

Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different.

Example:

7x x -2x πx

are all like terms because the variables are all x

Example:

(1/3)xy2 -2xy2 6xy2 xy2/2

are all like terms because the variables are all xy2

Example: These are NOT like terms because the variables and/or their exponents are different:

2x 2x2 2y 2xy

Step-by-step explanation:

Hope Thats Helps!

For this problem we need to identify on which line Travis make a mathematical error. And if we look careful we see that the mistake is at Line 4 the reason is because:

And the actual value in the balance is 8 not -8

Answer:

The total cost of adding wallpaper to the room is 487.20

In summary, we aim to show that the inner products of f and g with their respective operator-transformed counterparts are all zero.

To prove statement (a), we consider ⟨f, g⟩ = ⟨f, \(A^g\)⟩ - ⟨f, \(A^f\)⟩ = d⟨f, g⟩ - c⟨f, f⟩. Since c ≠ d, we can rearrange the equation to obtain (d - c)⟨f, g⟩ = c⟨f, f⟩. If d and c are both real and c ≠ d, then (d - c) is non-zero, implying ⟨f, g⟩ = 0.

Similarly, for statement (b), we have ⟨f, \(A^g\)⟩ = ⟨f, dg⟩ = d⟨f, g⟩. Since ⟨f, g⟩ = 0 (from statement a), it follows that ⟨f,\(A^g\)⟩ = 0.

For statement (c), we have ⟨g,\(A^f\)⟩ = ⟨g, cf⟩ = c⟨g, f⟩. Since ⟨g, f⟩ = ⟨f, g⟩ = 0 (from statement a), it follows that ⟨g, \(A^f\)⟩ = 0.

Therefore, we have successfully proven all three statements: ⟨f, g⟩ = 0, ⟨f, \(A^g\)⟩ = 0, and ⟨g,\(A^f\)⟩ = 0, as desired.

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The required diminished expression is 6c+d.

Given

Expression;  a - 2b + 3c diminished by a - 2b - 3c + d.

To diminish the expression firstly combine like terms after then simplify the equation.

Therefore,

The expression is diminished by;

\(\rm =a - 2b + 3c-(a - 2b - 3c+ d)\\\\=(a-a)-(2b-2b)+(3c+3c)+d\\\\= 6c+d\)

Hence, the required diminished expression is 6c+d.

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Answer:

68°

Step-by-step explanation:

arctan(x) = 5/2

Answer:

False

Step-by-step explanation:

False. Both surface area cannot be find using the same formula.

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Right cone is a cone where the axis of the cone is perpendicular to the base .

Whereas, oblique cone has the axis of cone not perpendicular to the base.

Base area would be same for both right and oblique cones.

But the lateral surface area will be different.

Hence the surface area will be different.

Hence the surface area formula for a right cone is not same to find the surface area of an oblique cone.

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Answer:

point f is in quadrant 3 . . .

Answer:

The expression “32” is a symbolic term. ... This means the term has variable meaning depending on which value is substituted for x. For example, if you set x=−2, you get (−2)2, another name for 4. x2−6x+4y (mentioned above) is symbolic term with two variables.

I hope that helps im only in 8th grade so I don't fully understand it either lol

Answer:

The expression x^3 + ax^2 - 15x + b has a factor of x – 2 and leaves a remainder 75 when divided

by x + 3. Find the value of a and of b.

Let p(x) = x3 + ax2 + bx +6

 (x-2) is a factor of the polynomial x3 + ax2 + b x +6

p(2) = 0                                                                                       

p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0

7 +2 a +b = 0

b = - 7 -2a -(i)                                                                              

x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.

p(3) = 3                                                                                      

p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3

11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)                                    

Equating the value of b from (ii) and (i) , we have

 (- 7 -2a) = (-10 - 3a)

a = -3                                                    

Substituting a = -3 in (i), we get

b = - 7 -2(-3) = -7 + 6 = -1

Thus the values of a and b are -3 and -1 respectively.

Answer:

Check below:

Step-by-step explanation:

To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:

Step 1: Grouping

Group the terms in pairs so that you can factor out a common factor from each pair.

3x² + 6x + 4x + 8

(3x² + 6x) + (4x + 8)

Step 2: Factoring out the common factors

Factor out the common factors from each pair separately.

3x(x + 2) + 4(x + 2)

Step 3: Factoring out the common factor from the resulting expression

Notice that we have a common factor, (x + 2), in both terms.

(x + 2)(3x + 4)

Therefore, the factored form of the expression 3x² + 6x + 4x + 8 is (x + 2)(3x + 4).

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Answer:

y = -3x - 1

Step-by-step explanation:

Parallel lines have same slope.

slope = m = -3

(1 , -4)

y = mx + b

Plugin x = 1 and y = -4

-4 = (-3) *1 + b

-4 = -3 + b

-4 + 3 = b

b = -1

Equation: y = -3x - 1

Answer:

John has a phone plan that has a $5 initial fee and costs $0.5 per call. How much money would John spend if he has made 17 calls?

Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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Answer:

y= -x/2+8

Step-by-step explanation:

Cause I know UwU

Answer:

98 units.

Step-by-step explanation:

Circumference = 2 * pi * radius

615.44 = 2 * 3.14 * r

r = 615.44 / (2 * 3.14)

 =2 * 3.14

 = 98 units.

The mean of the sample = 62The standard deviation of the sample = 10.5The percentage of observations that are between 41 and 83 is a minimum of 100%.

Since the data set has an extremely skewed histogram, the distribution may not be normal. However, for the purpose of this solution, we will assume that the distribution is normal.The minimum percentage of observations that are between 41 and 83 can be calculated as follows:First, we need to find the z-scores for 41 and 83 using the formula:z = (x - μ)/σwhere x is the observation, μ is the population mean, and σ is the population standard deviation. Since we have a sample, we will use the sample mean and standard deviation instead of the population values.z for 41 = (41 - 62)/10.5 = -2z for 83 = (83 - 62)/10.5 = 2

The area between -2 and 2 on a standard normal distribution is 0.9545 or approximately 95%. Since the distribution may not be normal, the percentage of observations that are between 41 and 83 may be higher or lower than 95%. Therefore, the minimum percentage of observations that are between 41 and 83 is 100%.

Summary:The minimum percentage of observations that are between 41 and 83 is a minimum of 100%.

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Answer:

f(x)=3(-13)^x

Step-by-step explanation:

since we know that our x=0 then y=3(-13)^0

=3

put it in mind that during the indices we learnt that any number to the power zero is 1 and any number to the power 1 it is the number itself so we can continue to say

y=3(1)

=3

Answer:

A one tailed test

Step-by-step explanation:

Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.

Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.

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One-Tailed Test

Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.

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The law of large numbers is a fundamental concept in probability theory that describes the behavior of the average of a large number of independent random variables.

It states that as the sample size increases, the sample mean will converge to the true population mean, and the sample proportion will converge to the true population proportion.

In other words, the larger the sample size, the more reliable the sample mean and proportion will be as an estimate of the true population mean and proportion. This is because the variation in the sample mean and proportion decreases as the sample size increases, and the sample becomes more representative of the population. This principle is widely used in statistics, and it underpins many statistical methods and techniques.

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The correct statement is: The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change in a linear function represents how the dependent variable (in this case, height) changes with respect to the independent variable (time). To find the rate of change in this scenario, we can calculate the slope of the line that goes through the given points (2, 3) and (4, 6).

The slope of a line is determined by the change in the y-values divided by the change in the x-values. In this case, the change in y is 6 - 3 = 3 inches, and the change in x is 4 - 2 = 2 years.

Therefore, the rate of change is 3 inches / 2 years = 1.5 inches per year. This means that for every additional year of growth, the plant's height increases by an average of 1.5 inches.

Now, let's analyze the given statements:

1. The rate of change of a linear function is always the same.

  This statement is true. In a linear function, the rate of change (slope) remains constant throughout the entire graph.

2. The rate of change of a linear function always increases as the input increases.

  This statement is not necessarily true. The rate of change can be positive or negative, depending on whether the line slopes upward or downward.

3. The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

  This statement is true. We calculated the rate of change to be 1.5 inches per year.

4. The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

  This statement is not necessarily true. The rate of change may vary depending on the specific section of the graph being considered. However, we only calculated the rate of change between 2 and 4 years, so we cannot determine the rate of change over a larger time frame based on this information.

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Step-by-step explanation:

draw a rectangle with width 98 and height 55 there are two of each side, so 98 + 98 + 55 +55 = 306

Answer:

306m

Step-by-step explanation:

You need to find the perimeter of the rectangle. To do that, you just add the side lenghts. So, this is your lawn with the side lengths:

                      55m
           _____________
           |                           |
           |                           |
           |                           |
98m    |                           |     98m
           |                           |
           |                           |
           |                           |
           _____________
                      55m

You just add them together!

55 + 55 + 98 + 98 = 306

so you need 306 meters of fencing

The man's BMI is approximately 22.09 based on his weight of 154 pounds and height of 70 inches.

To calculate the Body Mass Index (BMI) of a person, we use the following formula:

BMI = weight (in kilograms) / height^2 (in meters)

First, we need to convert the weight from pounds to kilograms. Since 1 pound is approximately 0.4536 kilograms, the man's weight of 154 pounds is equal to 69.85 kilograms (rounded to two decimal places).

Next, we need to convert the height from inches to meters. Since 1 inch is equal to 0.0254 meters, the man's height of 70 inches is equal to 1.778 meters (rounded to three decimal places).

Now, we can calculate the BMI using the formula:

BMI = 69.85 kg / (1.778 m)^2

Calculating this expression, we find that the man's BMI is approximately 22.09 (rounded to two decimal places).

In summary, the man's BMI is approximately 22.09 based on his weight of 154 pounds and height of 70 inches.

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The Excel function used when deciding to reject or fail to reject the null hypothesis is the T.TEST function.

This function is used to calculate the probability of obtaining the observed results or more extreme results, assuming that the null hypothesis is true. If the probability, also known as the p-value, is less than the significance level, typically 0.05, the null hypothesis is rejected, and it is concluded that there is sufficient evidence to support the alternative hypothesis.

Otherwise, if the p-value is greater than the significance level, the null hypothesis is not rejected, and it is concluded that there is not enough evidence to support the alternative hypothesis.

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true. If the p-value is less than or equal to the level of significance (alpha) chosen for the test, typically 0.05 or 0.01, then the null hypothesis is rejected in favor of the alternative hypothesis. If the p-value is greater than the chosen alpha level, then the null hypothesis is not rejected.

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Answer:

Celine can fill 20 stars i believe

Step-by-step explanation:

(48-8)÷2=20

The number of star-shaped molds that Celine can fill will be 20.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

For the Constellation Club meeting, Celine is preparing an exclusive gelatin dessert. She intends to use 8 ounces of gelatin to fill a large moon-shaped mold. She plans to fill little star-shaped molds with the remaining gelatin. The bag of gelatin she purchased yields 48 ounces in total, with each star-shaped mold holding 2 ounces.

⇒ (48 - 8) ÷ 2

⇒ 40 / 2

⇒ 20

Then the number of star-shaped molds that Celine can fill will be 20.

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