Complex numbers
I need help!

Answer:

y = 2x - 1

Step-by-step explanation:

The daffodils flower Pate needs is 8, total number of flower when rose is 2, is 18 and the carnations to be needed for decoration is 15.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Pete is making decorations for a dinner party. The instructions tell him to use 9 flowers for a medium-sized decoration which has 2 lilies, 1 rose, 3 carnations, 2 daffodils and 1 iris.

The ratio of daffodils to total flower is,

n=2/9.

To make a large decoration, Pete uses 36 flowers. Let suppose the daffodils flower he needs for this is x. Thus,

x=36*(2/9)

x=4*2

x=8

The rose flower is increased from 1 to 2. Thus, the total number of flower also be twice for decoration.

Flower=2*9

Flower=18

Now Pete uses 10 lilies instead of 2 which is 5 times the medium-sized decoration. Thus, the carnations to be needed is,

Carnations=3*5

Carnations=15

Hence, the daffodils flower Pate needs is 8, total number of flower when rose is 2, is 18 and the carnations to be needed for decoration is 15.

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The 95% confidence interval for a person's weight gain, measured in pounds, is approximately -6.22 to 25.60 pounds.

To determine the 95% confidence interval for weight gain, we can use the given equation: Whighi = (-94.4395) + (3.7430 × 140.ghtR). Here, Whighi represents weight gain in pounds and 140.ghtR represents the weight measured in lehes.

First, let's calculate the standard error (SE) using the formula: SE = √[(2.0425)² × (0.2945)²]. Plugging in the values, we get SE ≈ 0.609.

Next, we can calculate the margin of error (ME) by multiplying the SE with the critical value corresponding to a 95% confidence level. As the equation provided does not explicitly state the critical value, we'll assume it to be 1.96, which is commonly used for a 95% confidence level. Therefore, ME ≈ 1.96 × 0.609 ≈ 1.196.

Now, we can construct the confidence interval by adding and subtracting the ME from the mean weight gain. The mean weight gain can be found by substituting the given weight measurement of 140.ghtR into the equation Whighi = (-94.4395) + (3.7430 × 140.ghtR). Calculating the mean weight gain, we get ≈ 25.60 pounds.

Thus, the 95% confidence interval for a person's weight gain is approximately -6.22 to 25.60 pounds. This means we are 95% confident that the true weight gain for a person lies within this interval.

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DCB form a right angle which is 90 degrees.

The two inside angles need to equal 90

ACB = 90-65 = 25

Answer: 25

Answer:

25

Step-by-step explanation:

its correct

1. C because 3×3=9

9×3=27

27×3=81.....

2. Answer is C explaination in picture number 2

3. D explaination in picture number 1

Answer:

1360

Step-by-step explanation:

50% off 680 is 340 , So 340*4= 1360

Answer:

1.1) Rational

1.2) Rational

1.3) Irrational

1.4) Rational

1.5) Rational

1.6) Irrational

Step-by-step explanation:

Rational means it can be represented as a fraction where the numerator and denominator are whole numbers and vice versa for irrationals.

Answer:

-4 is not
√9 is a rational number.
Pi is an irrational number.

The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.

Consecutive numbers are those that always appear in the same order, from smallest to largest.

For instance:

The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.

consecutive odd numbers:

Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."

Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.

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No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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Answer:

Price elasticity of demand = 1

Step-by-step explanation:

Old quantity demanded = 200

New quantity demanded = 150

Old price = 8

New price = 10

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

percentage change in quantity demanded = change in quantity demand / old demand × 100

= 50/200 × 100

= 0.25 × 100

= 25%

percentage change in price = change in price / old price × 100

= 2/8 × 100

= 0.25 × 100

= 25%

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

= 25% / 25%

= 1

Price elasticity of demand = 1

Solution:

Let v = ml of 100% vinegar

Then 150-v = ml of dressing

thus, we have:

v + 0.13(150-v) = 0.42(150)

this is equivalent to:

v + 19.5 - 0.13 v = 63

this is equivalent to:

v - 0.13 v = 63 - 19.5

this is equivalent to:

0.87 v = 43.5

solving for v , we obtain:

Answer: 1/5m

Step-by-step explanation:

From the question, we are informed that Darren has a wooden board that has a length of 3/5m. We are then told that he cuts the board into 3 equal parts.

The length of each section of the board will then be:

= 3/5 ÷ 3

= 3/5 × 1/3

= 3/15

= 1/5m

Each section of the board will be 1/5meters long

Answer:

1/5

Step-by-step explanation:

Answer:

-6x² + 6 - 2x = x

-6x² - 3x + 6 = 0

2x² + x - 2 = 0

x = (-1 + √(1² - 4(2)(-2)))/(2×2)

= (-1 + √17)/4

Answer:

A- x+3

Step-by-step explanation:

each number is growing by 3

ANSWER:

The new perimeter will be 1/3 times the perimeter of the original rectangle.

;p :D

Answer:

1/3

Step-by-step explanation:

The demand function for the shirts of a concert-promoting company which has been selling an average of 175 T-shirts at performances for $23 each is y=175-6.08x.

The demand function is the function

\(Q=a-bP\)

Here, Q is linear demand curve, a factor which influence the demand, b is slope and P is price.

A concert-promoting company has been selling an average of 175 T-shirts at performances for $23 each. Thus, the total selling price is,

\(P=175\times23\\P=4025\)

The company estimates that for each dollar that the price is lowered, an additional 25 shirts will be sold.  Thus, the total number of

\(23=175-25b\\23-175=-25b\\b=\dfrac{152}{25}\\b=6.08\)

Put the values in, the function for X number of shirt and y price,

\(y=175-6.08x\)

Hence, the demand function for the shirts of a concert-promoting company which has been selling an average of 175 T-shirts at performances for $23 each is y=175-6.08x.

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Step-by-step explanation:

LCM for 7 by 24=168

LCM for 17 by 36=612

Set theory is a branch of mathematics that deals with the study of sets, which are collections of objects. A subset is a set that contains only elements that belong to a larger set, called the universal set. In this context, let S, T, X, and Y be subsets of some universal set.

Assuming that S [T X [Y, we can conclude that if a belongs to T, then a belongs to S or a belongs to X or a belongs to Y. This is because T is a subset of S [T X [Y, and any element in T must belong to at least one of these sets.

Assuming that S \T D, we can conclude that if a belongs to T, then a does not belong to S. This is because S \T is the set of elements that belong to S but not to T, and D is the empty set, meaning that there are no elements in the set. Therefore, if a belongs to T, it cannot belong to S \T, and so it must not belong to S.

Assuming that X S, we can use all three assumptions to prove that T Y. Suppose that a belongs to T. Then, using assumption (i), we know that a belongs to S or a belongs to X or a belongs to Y. But since a cannot belong to S (using assumption (ii)), we must have either a belongs to X or a belongs to Y. But since X is a subset of S (using assumption (iii)), we know that if a belongs to X, then a belongs to S. Therefore, we must have a belongs to Y. This holds for any element a in T, so we can conclude that T Y.

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The ideal way to organize electronically the raw data for a study is to create a structured database or spreadsheet that can easily and efficiently store, sort, and analyze the data.

This will allow for easy retrieval and manipulation of the data, as well as the ability to perform statistical analysis and generate reports. It is important to ensure that the data is accurately recorded and labeled to prevent errors and ensure consistency. Additionally, proper data security measures should be in place to protect the confidentiality and integrity of the data.

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The ideal way to organize electronically the raw data for a study is to use a standardized format, such as a spreadsheet or database, with clear and consistent labeling for each variable.

It is important to ensure that the data is accurate, complete, and easily accessible, and to maintain appropriate security and privacy measures to protect the confidentiality of study participants. Additionally, it is recommended to create a data management plan outlining the procedures for data collection, storage, and sharing throughout the study. This plan should be reviewed and updated regularly to ensure that it remains effective and compliant with relevant regulations and ethical standards. The ideal way to organize electronically the raw data for a study is to use a structured and systematic approach, such as creating a well-designed database or spreadsheet. This allows for efficient data management, easy access, and accurate analysis.

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Answer:

\(\huge\boxed{A=(9x^2-48x+64)ft^2}\)

Step-by-step explanation:

The formula of an area of a square:

\(A=s^2\)

\(s\) - side of a square

We have \(s=(3x-8)ft\)

Substitute:

\(A=(3x-8)^2\)

METHOD 1:

Use  \((a-b)^2=a^2-2ab+b^2\)

\(A=(3x)^2-2(3x)(8)+8^2=9x^2-48x+64\)

METHOD 2:

Use FOIL: \((a+b)(c+d)=ac+ad+bc+bd\)

\(A=(3x-8)(3x-8)=(3x)(3x)+(3x)(-8)+(-8)(3x)+(-8)(-8)\\\\=9x^2-24x-24x+64=9x^2-48x+64\)

Answer:

9x^2-48x+64 ft^2

Step-by-step explanation:

(3x − 8) (3x − 8)

Multiply 3x by (3x − 8)

3x(3x − 8)

9x^2-24x

Multiply - 8 by (3x − 8)

- 8(3x − 8)=-24x+64

Combine 9x^2-24x and -24x+64

9x^2-48x+64 ft^2

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Given:

Total number of girls in her class = 16

Total number of boys in her class = 14

To find:

The number of different ways of choosing one girl and one boy.

Solution:

We have,

Total number of girls = 16

Total number of boys = 14

So,

Total number of ways to select one girl from 16 girls = 16

Total number of ways to select one boy from 14 boys = 14

Now, number of different ways of choosing one girl and one boy is

\(16\times 14=224\)

Therefore, the required number of different ways is 224.

a. The number of  different ways of choosing one girl and one boy is 226

Total number of ways to select one girl from 16 girls = 16

Total number of ways to select one boy from 14 boys = 14

So, the number should be

\(= 16 \times 14\)

= 224

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In the consolidated financial statements, the intercompany sales between Perez, Inc. and Senior, Inc. need to be eliminated to avoid double counting of the profits.

When Perez, Inc. sells goods to Senior, Inc., the intercompany sales should be eliminated in the consolidated financial statements. This means that the revenue and cost of goods sold related to these transactions should be removed from both companies' individual income statements.

Since Perez, Inc. sold goods with a 40% gross profit to Senior, Inc., the gross profit on these intercompany sales needs to be eliminated. This adjustment ensures that the consolidated financial statements reflect only the external sales and expenses of the group as a whole.

Furthermore, as Perez, Inc. owns 80% of Senior, Inc., the consolidated income statement should also reflect the portion of Senior, Inc.'s income that belongs to the non-controlling interest (20% ownership not held by Perez, Inc.). This adjustment ensures that the consolidated financial statements accurately reflect the economic interest of both the parent company (Perez, Inc.) and the non-controlling interest (the remaining 20% ownership in Senior, Inc.).

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erez, Inc., owns 80% of Senior, Inc. During the year just ended, Perez sold goods with a 40% gross profit to Senior. Senior sold all of these goods during the year. In its consolidated financial statements for the year, how should the summation of Perez and Senior income statement items be adjusted?

In a two-way ANOVA, the sum of squares can be calculated for each of the factors and their interaction. The sum of squares for each factor represents the variation in the dependent variable that can be attributed to that particular factor. Therefore, the sum of squares for a two-way ANOVA can be found by calculating the sum of squares for each factor and their interaction.

To find the sum of squares for a two-way ANOVA, follow these steps:

Calculate the grand mean, which is the overall mean of the dependent variable.

Calculate the sum of squares for each factor. This can be done by calculating the sum of the squared deviations of each level of the factor from the grand mean, and then summing these squared deviations across all levels of the factor. The sum of squares for factor A (SSA) and factor B (SSB) can be calculated as follows:

SSA = Σ(∑Xij – (∑Xj/n))^2 / (r * n)

SSB = Σ(∑Xij – (∑Xi/n))^2 / (c * n)

Where Xij is the value of the dependent variable for the ith level of factor A and the jth level of factor B, n is the total number of observations, r is the number of levels for factor A, and c is the number of levels for factor B.

Calculate the sum of squares for the interaction between factor A and B (SSAB) by summing the squared deviations of each cell mean from the corresponding row mean, column mean, and grand mean, and then summing these squared deviations across all cells. The formula for SSAB is as follows:

SSAB = ΣΣ(Xij – Xi – Xj + X)^2 / ((r-1) * (c-1))

Where Xij is the value of the dependent variable for the ith level of factor A and the jth level of factor B, Xi is the mean of the ith level of factor A, Xj is the mean of the jth level of factor B, and X is the grand mean.

Calculate the residual sum of squares (SSE) by subtracting the sum of squares for factor A, factor B, and their interaction from the total sum of squares (SSTO):

SSE = SSTO – SSA – SSB – SSAB

Verify that the sum of squares for each factor and their interaction, plus the residual sum of squares, equals the total sum of squares:

SSTO = SSA + SSB + SSAB + SSE

Therefore, to find the sum of squares in a two-way ANOVA, calculate the sum of squares for each factor and their interaction, and the residual sum of squares using the above steps.

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The given line has a slope of 3/4. Therefore, the equation of a line parallel to it will also have a slope of 3/4. option C

Among the options provided, the equation that has a slope of 3/4 is option C) 3y = 4x + 5. By rearranging this equation to slope-intercept form (y = mx + b), we get y = (4/3)x + 5/3, which clearly has a slope of 4/3 or 3/4 when expressed as a fraction. Hence, option C) is the correct equation of a line parallel to 4y = 3x + 5.

To further explain, when two lines are parallel, they have the same slope but different y-intercepts. In the given options, option A) y = 3x + 5 has the same slope but the same y-intercept as the given line, so it is not parallel to it. Option B) 4y = 3x - 1 has a different slope,

so it is not parallel. Option D) -4y = 3x + 5 has the same slope but a different sign, so it is not parallel. Option E) 4y = x + 5 has a different slope, so it is not parallel. Thus, option C) 3y = 4x + 5 is the only equation that satisfies the requirement of being parallel to the given line.

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Answer:

Step-by-step explanation:

Answer:

Lines 1 and 4 are parallel

Step-by-step explanation:

The image below shows the four lines graphed, and proves that lines 1 and 4 are parallel.

Hope this helps! :)

Answer:

- 1, 3, 7, 11, 15

Step-by-step explanation:

Substitute n = 1, 2, 3, 4, 5 into the rule, that is

a₁ = 4(1) - 5 = 4 - 5 = - 1

a₂ = 4(2) - 5 = 8 - 5 = 3

a₃ = 4(3) - 5 = 12 - 5 = 7

a₄ = 4(4) - 5 = 16 - 5 = 11

a₅ = 4(5) - 5 = 20 - 5 = 15

The first 5 terms are - 1, 3, 7, 11, 15

Answer:

LCM(144,90)=\(2^{4} *9*5=16*5*9=80*9=720\)

GCD(144,90)=2*\(3^{2}\)=18

Step-by-step explanation:

144=\(2^{4} *3^{2}\)

90=\(2*3^{2} *5\)

Answer:

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