Which expression is equivalent to 2x- 3(y- 2x

Answer:

y = 3x + 1

Step-by-step explanation:

When the effect size is small, detecting a significant difference between the two groups can be challenging. However, there are several options that a researcher can consider. One option is to conduct a pilot study.

A pilot study allows the researcher to test the study design and identify any potential issues that may affect the results. This can help the researcher refine the study design and increase the chances of detecting a significant difference between the two groups.

Another option is to obtain a different sample. This can be done by recruiting participants from a different population or by using a different sampling method. A different sample may have different characteristics that can increase the effect size and make it easier to detect a significant difference between the two groups.

Increasing the sample size is another option that can be effective in detecting a significant difference between the two groups. Larger sample size can increase the statistical power of the study, making it easier to detect small effect sizes.

Finally, performing the additional analysis can also be helpful in detecting a significant difference between the two groups. This can include using different statistical methods or analyzing the data in different ways to identify any potential patterns or trends. Ultimately, the best approach will depend on the specific research question, the characteristics of the sample, and the resources available to the researcher.

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Answer:

10.25$

Step-by-step explanation:

Answer:

14 euro Im pretty sure I'm no expert tho

Answer:

r = 6 ft

Step-by-step explanation:

The slope of the given equation y = 10x + 1 is 10.

If we draw the graph of the linear equation y = mx + c. The result is a line with m as the slope, and c as the y-intercept. This form of the linear equation y = mx + c is called the slope-intercept form, and the values of m and c are real numbers.

The slope, m, of the line represents the steepness of a line. This is also termed a gradient, sometimes. The y-intercept, c, of the line y = mx + c represents the y-coordinate of the point where the graph of the line intersects the y-axis.

Now, if we equate the standard slope-intercept form of the equation with the given equation, we get

y = mx + c

y = 10x + 1

m = 10 and c = 1

As we know the m is the slope which is equal to 10.

-- The given question is incorrect, the correct form of equation is

"What is the slope of y = 10x + 1?" --

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The system of equations has 4 solutions. (D) 4 solutions.

The system of equations consists of three equations:

1) 2x = λx

2) y^2 = λx

3) y^2 = 4

To find the solutions, we need to solve these equations simultaneously. Let's analyze each equation:

Equation 1) 2x = λx

This equation implies that λ = 2. It means that the value of λ is fixed at 2.

Equation 2) y^2 = λx

Since we know that λ = 2, this equation becomes y^2 = 2x.

Equation 3) y^2 = 4

This equation implies that y^2 is fixed at 4.

From equation 3, we can determine that y can take two possible values: y = 2 or y = -2.

Substituting these values of y into equation 2, we get:

y^2 = 2x

(2)^2 = 2x or (-2)^2 = 2x

4 = 2x or 4 = 2x

x = 2 or x = 2

Therefore, we have four solutions:

(2, 2, 2), (2, -2, 2), (2, 2, 2), (2, -2, 2)

Hence, the system of equations has 4 solutions.

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a) To calculate the total amount of money Max will have to pay for the sump pump installation, including the sales tax, we can write the equation:y = 3920 * (1 + 0.08125)

In summary, the equation to calculate the total cost including sales tax is y = 3920 * (1 + 0.08125).

In this equation, 3920 represents the initial cost of the sump pump installation, and 0.08125 represents the sales tax rate of 8.125% (converted to a decimal form by dividing by 100 and adding 1 to include the original cost).

b) Max uses a 10% promotional discount on the sump pump installation cost.

(1) To calculate the amount Max will get to deduct from the cost given the discount, we can multiply the initial cost by the discount rate:

Deducted amount = 3920 * 0.10

(2) To calculate the new total amount Max will have to pay for the sump pump installation, including the sales tax, after applying the discount, we subtract the deducted amount from the initial cost and then add the sales tax:

New total amount = (3920 - deducted amount) * (1 + 0.08125)

These calculations will give the final cost Max will have to pay after applying the promotional discount and including the sales tax.

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Answer:

'''A ray has one endpoint and extends indefinitely in one direction. A pair of opposite rays are two rays that have the same endpoint and extend in opposite directions. Rays are always named with two points and the first point in the name must be the endpoint.'''

The domain of the expression 1/(x+5) is all real numbers except -5 and it can be represented in interval notation as (-∞, -5) U (-5, ∞).

The given expression is 1/(x+5), and we need to determine its domain, which is the set of all possible values of x for which the expression is defined. Since the expression has a denominator of (x+5), it will be undefined when the value of x makes the denominator equal to zero. This is because dividing by zero is not defined in mathematics.

Therefore, to find the domain of the given expression, we need to exclude the values of x that make the denominator equal to zero.

In this case, the denominator is (x+5), and we need to exclude the value of x=-5 because it makes the denominator zero. When x=-5, the expression becomes 1/0, which is undefined.

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The dual model for the given primal model is, Maximize W = 55y₁ + 80y₂ + 57y₃ and Subject to 11y₁ + 21y₂ + 31y₃ ≥ 10 and 12y₁ + 22y₂ + 33y₃ ≥ 9, with the nature restrictions: y₁ ≥ 0, y₂ unrestricted, y₃ unrestricted.

To obtain the corresponding dual model for the given primal model

The primal model is:

Minimize Z = 10x₁ + 9x₂ + 8x₃

Subject to:

11x₁ + 12x₂ = 55

21x₁ + 22x₂ + 23x₃ ≤ 80

31x₁ + 33x₃ ≤ 57

x₁ ≤ 0, x₂ ≥ 0, x₃ is unrestricted

a) The dual objective function is obtained by taking the coefficients of the primal model's constraints as the variables in the dual model's objective function. Thus, the dual objective function is:

Maximize W = 55y₁ + 80y₂ + 57y₃

where y₁, y₂, and y₃ are the dual variables corresponding to the primal constraints.

b) The dual constraints are obtained by taking the coefficients of the primal model's variables as the variables in the dual model's constraints. The primal inequalities become the dual equalities and vice versa. Additionally, the sign restrictions of the primal variables become sign restrictions for the dual variables. Thus, the dual constraints are:

11y₁ + 21y₂ + 31y₃ ≥ 10

12y₁ + 22y₂ + 33y₃ ≥ 9

where y₁, y₂, and y₃ are the dual variables corresponding to the primal variables.

c) Nature restrictions of the dual variables:

Since x₁ ≤ 0 in the primal model, the corresponding dual variable y₁ has the restriction y₁ ≥ 0 (non-negativity).

Since x₂ ≥ 0 in the primal model, the corresponding dual variable y₂ has no specific restriction.

Since x₃ is unrestricted in the primal model, the corresponding dual variable y₃ is also unrestricted.

Therefore, the complete dual model is:

Maximize W = 55y₁ + 80y₂ + 57y₃

Subject to:

11y₁ + 21y₂ + 31y₃ ≥ 10

12y₁ + 22y₂ + 33y₃ ≥ 9

y₁ ≥ 0, y₂ is unrestricted, y₃ is unrestricted

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This type of insurance is designed to provide financial protection for the policyholder's loved ones in the event of their death.

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If Abby deposited $3000 and has $3600 at the end of 8 years, then the interest-rate is 2.5%.

The "Simple-Interest" is the interest which is calculated based only on principle amount of a loan or investment, without taking into account any additional interest earned on previous periods.

We can use the simple interest formula to find the annual interest rate:

⇒ Simple Interest = Principle × Rate × Time,

Where: Principle is = initial deposit of $3000,

Rate = annual interest rate (what we need to find)

Time = number of years the money was invested = 8,

The Simple Interest earned over 8 years : $3600 - $3000 = $600,

Substituting the values,

We get,

⇒ $600 = $3000 × Rate × 8,

⇒ Rate = 600/(3000 × 8),

⇒ Rate = 0.025, or 2.5%.

Therefore, the annual interest rate on the account is 2.5%.

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The conversion 336g to m³ is impossible because they measure different units

From the question, we have the following parameters that can be used in our computation:

Convert 336g to m³

To convert a unit to another, the units must measure the same quantity

Take for instance:

Grams can be converted to kilograms because they both measure mass

Using the above as a guide, we have the following:

336g to m³  cannot be done because of the different quantities they represent

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Answer:

89.70 dollars

Step-by-step explanation:

If Juwad picked 30 bags of apples and only sold 26 of them for 3.45 each, then you would have to multiply the number of bags sold by the price, and you would get your answer. So in this case:

1. (#sold)* (price)= total amount of money made

2. 26*3.45= 89.70

3. And you can check by dividing 89.70(your answer) by the price of the apples

4. 89.70/3.45= 26

The horizontal distance between the lighthouse and the shore is 896 feet.

Trigonometric ratio is used to show the relationship between the sides and the angles of a right angled triangle.

The angle of elevation is 7°. Let d represent the horizontal distance from the lighthouse and the shore. Hence:

tan(7) = 110/d

d = 110 / tan(7)

d = 896 feet

The horizontal distance between the lighthouse and the shore is 896 feet.

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The population of the city in 2023 is 1.6 * 10^6.

The exponential function is a mathematical function that describes the growth of a quantity as a power of another quantity.

In mathematics, the exponential function is used to model a wide range of phenomena including exponential decay, compounding interest, and population growth.

Using the exponential growth model;

P = Poe^rt

P = population at time t

Po = Initial population

r = Population growth rate

t = time

4Po = Poe^rt

If t = 1

4Po/Po = e^r

4 =  e^r

r = ln4

r = 1.4

The population in 2023 is;

P = 88e^1.4 * 7

P = 1.6 * 10^6

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Answer: (228.7, 241.3)

Step-by-step explanation:

The % error tells you about the accuracy of the measurements.

This is because it provides information about how close a measured or calculated value is to the true or accepted value.

The % error is expressed in percentage form.

It is computed as follows:

% Error = (|accepted value - experimental value|/accepted value) x 100

The % error can be used to determine the accuracy of measurements, and the higher the % error, the lower the accuracy.

A % error of 0% implies that the experimental value is the same as the accepted value, while a % error of 100% implies that the experimental value is two times greater than the accepted value.

Therefore, a small % error means that the measurements are accurate, while a large % error means that the measurements are inaccurate.

The % error may be used to identify the source of error in an experiment.

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Answer: $94.40

The plant earned $94.40 per man hour of labor three years after it opened.

Answer:

its b

Step-by-step explanation:

7 x 13 = 91

12 x 13 = 156

so u divide 143 by 13 and u get 11

Answer:

B

Step-by-step explanation:

The answer is B because you have to figure out how many $ he gets from mowing 1 yard which is found by dividing the number of money to the number of yard he mowed for one of the weeks it doesn't matter which one.The answer to how much he gets for 1 yard is 13 dollars so the last step is the divide 143 by 13

Answer:

2nd Option

5th Option

Step-by-step explanation:

Linear equations are defined as functions that have a x term.

Quadratic equations are defined as functions that have a x² term.

Cubic equations are defined as functions that have a x³ term.

Answer:

7x^2+5x-2=0

6x^2+15x=0

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

Find each length using the distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

✔️Distance between A(-4, 2) and B(1, 4):

\( AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Let,

\( A(-4, 2) = (x_1, y_1) \)

\( B(1, 4) = (x_2, y_2) \)

\( AB = \sqrt{(1 - (-4))^2 + (4 - 2)^2} \)

\( AB = \sqrt{(5)^2 + (2)^2} \)

\( AB = \sqrt{25 + 4} \)

\( AB = \sqrt{29} \)

✔️Distance between C(2, -1) and D(4, 4):

\( CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Let,

\( C(2, -1) = (x_1, y_1) \)

\( D(4, 4) = (x_2, y_2) \)

\( CD = \sqrt{(4 - 2)^2 + (4 - (-1))^2} \)

\( CD = \sqrt{(2)^2 + (5)^2} \)

\( CD = \sqrt{4 + 25} \)

\( CD = \sqrt{29} \)

AB = CD = √29

Therefore, they both have the same length.

The Euclidean norm of the residuals is 0.2916

To find the Euclidean norm of the residuals, we first need to calculate the residuals for each equation in the system. The residual of an equation is the difference between the left-hand side (LHS) and the right-hand side (RHS) of the equation.

Given the system of equations:

x1 - x2 = 2 (Equation 1)

-2x1 + 5x2 = -1 (Equation 2)

Let's calculate the residuals:

Residual 1 = LHS of Equation 1 - RHS of Equation 1

= (x1 - x2) - 2

Residual 2 = LHS of Equation 2 - RHS of Equation 2

= (-2x1 + 5x2) - (-1)

Now, substitute the numerical values x1 = 2.96 and x2 = 1.04 into the residuals:

Residual 1 = (2.96 - 1.04) - 2

= 1.92 - 2

= -0.08

Residual 2 = (-2 * 2.96 + 5 * 1.04) - (-1)

= (-5.92 + 5.20) - (-1)

= -0.72 + 1

= 0.28

The Euclidean norm of the residuals is calculated by taking the square root of the sum of the squares of the residuals:

Euclidean norm = sqrt((Residual 1)^2 + (Residual 2)^2)

= sqrt((-0.08)^2 + (0.28)^2)

= sqrt(0.0064 + 0.0784)

= sqrt(0.0848)

≈ 0.2916

Therefore, the Euclidean norm of the residuals, rounded to four decimal places, is approximately 0.2916.

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Answer: C Omar did not make a mistake.

Answer:

OPTION C : omar didn't make a mistake

Step-by-step explanation

\(\frac{3x}{3}\) = \(\frac{4.5}{3}\)  is equal to 1.5

so x = 1.5

Answer: The answer is 7.

Answer:

The measures of interior angles of a triangle sum to 180°.

63+60=123

180-123=57

Angle AB is 57°

The perimeter of the rectangular bedroom is 116 feet.

We know that the distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

d = √(  (x₂ - x₁)² + (y₂ - y₁)²)

Here the corners of the room are at: (21, 18), (21, −7), (−12, −7) and (−12, 18)

Let's find the distances between these points:

d₁ = √(  (21- 21)² + (18 + 7)²) = 25

d₂ = √(  (21 + 12)² + (-7 + 7)²) = 33

d₃ = √(  (-12 + 12)² + (-7 - 18)²) = 25

d₄ =  = √(  (-12 - 21)² + (-7 + 7)²) = 33

The perimeter is the sum of these distances so we will get:

d₁ + d₂ + d₃ + d₄ = 25 + 33 + 25 + 33 = 116

The correct option is the first one.

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