The perimeter of a rectangle is 48 inches. If the width of the rectangle is 6 inches, what is the length?
Please help random answers will be reported

The Cronbach's alpha coefficient α for these teacher-IQ ranks is 0.701.

To calculate the alpha coefficient for these data, we need to use a statistical software package or spreadsheet program that has this function built-in. Here is an example of how to calculate alpha using Microsoft Excel:

Enter the ranks and IQ scores into two columns.

Select the two columns of data.

Click on the "Data" tab in the Excel ribbon.

Click on "Data Analysis" in the "Analysis" section of the ribbon.

Select "Cronbach's Alpha" from the list of analysis tools.

Click "OK."

In the "Input Range" field, select the two columns of data.

In the "Item Labels" field, select the column with the ranks.

Click "OK."

The resulting Cronbach's alpha coefficient is 0.701, which indicates good internal consistency among the teacher's rankings.

This suggests that the teacher's rankings were not solely based on the children's IQ scores, as the alpha coefficient would be higher if that were the case.

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The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

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Answer:

Option D is correct

Step-by-step explanation:

Using the given diagram, we want to know the equation that is true

Option A is wrong as both are on a straight line and in fact should add up to equal 180 and not be equal to each other

Option B is not correct as both are supplementary and does not equal each other

Option C is not correct, both are corresponding to each other and should not add up to 90

Option D is correct

Both angles are supplementary as they are exterior angles that add up to 180

Answer:

Step-by-step explanation:

the correct answer is D

Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.

The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:

W = F * d

where:

W is the work done in joules

F is the force in newtons

d is the distance in meters

The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.

The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.

Plugging these values into the equation for work, we get:

W = 102.8 N * 4600 m = 472320 J

The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:

472320 J / 29 kJ/mol = 162.6 mol

To one decimal place, this is 0.23 moles of ATP.

Here are the assumptions that we made in this calculation:

No friction

No mass of the bike

A flat ride with no change in altitude

These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.

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The exact distance between the planes after 2 hours, using the law of cosines:

d = sqrt((2 * 425)^2 + (2 * 530)^2 - 2 * 2 * 425 * 530 * cos(67° - 355°))

where d is the distance between the planes in miles.

To visualize the problem, imagine a coordinate plane with the origin at Raleigh-Durham Airport. Plane A's path can be represented as a line with a slope determined by its bearing of 355°, while Plane B's path can be represented by another line with a slope determined by its bearing of 67°.

To calculate the distance between the planes after 2 hours, we first need to determine their respective positions. Since Plane A is traveling at 425 mph, it would have covered a distance of 850 miles (425 mph * 2 hours). Similarly, Plane B would have covered a distance of 1060 miles (530 mph * 2 hours).

Next, we can calculate the coordinates of each plane using the distance and bearing information. Using trigonometry, we can determine the vertical and horizontal distances covered by each plane. Plane A's vertical distance would be 850 * sin(355°), and its horizontal distance would be 850 * cos(355°). Similarly, Plane B's vertical and horizontal distances would be 1060 * sin(67°) and 1060 * cos(67°), respectively.

Finally, we can use the coordinates of each plane to calculate the distance between them. This can be done using the distance formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of Plane A and Plane B, respectively.

By plugging in the calculated values, we can determine the distance between the two planes after 2 hours of flying.

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The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.

1. Graphically determine the optimal solution, if it exists, and the optimal value of the objective function of the following linear programming problems.
maximize z = x₁ + 2x₂ subject to 2x1 +4x2 ≤6, x₁ + x₂ ≤ 3, x₁20, and x2 ≥ 0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

Now, To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 3/4), (0, 0), and (3, 0).

        z = x₁ + 2x₂ = (0) + 2(3/4)

                    = 1.5z = x₁ + 2x₂ = (0) + 2(0) = 0

                        z = x₁ + 2x₂ = (3) + 2(0) = 3

The maximum value of the objective function z is 3, and it occurs at the point (3, 0).

Hence, the optimal solution is (3, 0), and the optimal value of the objective function is 3.2.

maximize subject to z= X₁ + X₂ x₁-x2 ≤ 3, 2.x₁ -2.x₂ ≥-5, x₁ ≥0, and x₂ ≥ 0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

To find the optimal solution and the optimal value of the objective function,

        evaluate the objective function at each corner of the feasible region:

                                (0, 0), (3, 0), and (2, 5).

                          z = x₁ + x₂ = (0) + 0 = 0

                          z = x₁ + x₂ = (3) + 0 = 3

                           z = x₁ + x₂ = (2) + 5 = 7

The maximum value of the objective function z is 7, and it occurs at the point (2, 5).

Hence, the optimal solution is (2, 5), and the optimal value of the objective function is 7.3.

maximize z = 3x₁ +4x₂ subject to x-2x2 ≤2, x₁20, and X2 ≥0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 1), (2, 0), and (5, 1).

                         z = 3x₁ + 4x₂ = 3(0) + 4(1) = 4

                      z = 3x₁ + 4x₂ = 3(2) + 4(0) = 6

                      z = 3x₁ + 4x₂ = 3(5) + 4(1) = 19

The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.

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12

Explanation:

Slope Intercept form is: y=mx+b
m would be the slope

So in y=12x-19, 12 would be the slope in this case.

Answer:

15.5

Step-by-step explanation:

Answer:

14.8

Step-by-step explanation:

20% less than 18.5 is  14.8

Applying the tangent theorem and the Pythagorean theorem, the length of AB is 45 units.

According to the tangent theorem, a tangent will form a right angle with the radius of a circle at the point of tangency.

Tangents are perpendicular to the radius at the tangent point

Triangle ABO is therefore a right triangle.

AO = CO = 24 units

OC is also radius of circle O,

Therefore OC = 24

OB = OC + CB = 24 + 27 = 51

OB = √( OA² + AB²)      

AB = √( OB²  - OA²)  

= √( 2601 - 576 )

= √2025   = 45

Therefore, the value of AB is 45.

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Answer:

200 minutes, cost $44.00

Step-by-step explanation:

x = minutes

14 + .15x = 22 + .11x

.04x = 8

x = 200 minutes

14 + (.15*200)

14 + 30 = 44

22 + (.11*200)

22 + 22 = 44

Answer:

it's actually 28+/-√721/7

Step-by-step explanation:

Answer:

4 miles

Step-by-step explanation:

2/3 x 6= 4

Answer:

a) The percent change is 1.32%

b) 9 years

Step-by-step explanation:

a) In the equation the 1.32 in the parenthesis represents the percent change. The number inside the parenthesis is always the percent change.

b) If you plug 9 into where x is (in these types of equations x is always the number of years) and solve, you get

205(1.32)^9=2494 (rounded)

This is the first year that the number of snowboarders with season passes exceeds 2000.

Year 8 only has 1889 (rounded)

{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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To determine the minimum required diameter (D) of the cross-section of the beam, we need to consider the maximum bending moment and the maximum allowable bending stress.

The bending stress in a beam is given by the formula:

σ = (M * c) / I

Where σ is the bending stress, M is the maximum bending moment, c is the distance from the neutral axis to the outermost fiber (which is equal to half of the diameter for a circular cross-section), and I is the moment of inertia of the cross-section.

Rearranging the formula, we have:

D = (2 * M) / (σ * π)

Substituting the given values, with M = 80 kNm (converted to Nm) and σ = 500 MPa (converted to N/m²), we can calculate the minimum required diameter (D):

D = (2 * 80,000 Nm) / (500,000,000 N/m² * π)

D ≈ 0.255 meters or 255 mm

Therefore, the minimum required diameter of the cross-section of the beam is approximately 0.255 meters or 255 mm to resist the maximum bending moment of 80 kNm within the allowable bending stress of 500 MPa.

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Step-by-step explanation:

12:56pm to 1:00pm = 4 min

1:00pm to 2:00pm = 1 hour

2:00pm to 2:33pm = 33 min

Total time = 4 min + 1 hour + 33 min = 1 hour 37 minutes.

The number that will complete the square to solve equation is 1/36.

What is completing the square?

For some values of h and k, completing the square is an elementary algebraic method for changing a quadratic polynomial of the form

ax^2 + bx + c to the form a^2 + k. In other words, the quadratic expression is completed by inserting a perfect square trinomial.

Consider, the given polynomial

3w^2 - w - 24 = 0

Rewrite the polynomial in the form ax^2 + bx = c

Add 24 on both sides,

3w^2 - w - 24 + 24 = 24

⇒ 3w^2 - w = 24

Divide both sides by 3,

\(w^2-\frac{1}{3}w = 8\)

To complete the square x^2 + bx, we add \((\frac{b}{2} )^2\)

Here, b = -1/3

So, \((\frac{b}{2})^2 = (\frac{-1/3}{2})^2 = (-\frac{1}{6})^2 = \frac{1}{36}\)

Adding to both sides of the equation, we have

\(w^2-\frac{1}{3}w+\frac{1}{36} = 8+\frac{1}{36}\)

Hence, the number that will complete the square to solve an equation is 1/36.

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Therefore , the solution of the given problem of function comes out to be  Option (c) is correct f(x) < 0 over the interval (-∞ , 3) .

The study of numbers, their variations, math, as well as the study of the area anatomy, structures, and both their real and hypothetical places, is known as mathematics. A function describes the connection between a number of variables, every one of which has an associated result. A function is composed of an array of parts that, when combined, result in a different output for every input. Each task has a realm—a city, county, or other area—assigned to it.

Here,

From the image provided,

Watch the line for the range (-∞ , 3).

Function is located in the range of (—∞ , 3) below the x-axis.

Therefore, f(x) > 0

Option (a) is therefore false, while Option (c) is correct.

Look at the curve for the range(-∞ , ∞).

Functions f(x) > 0 and f(x)< 0 are defined for the intervals (-∞ , 3) .

Choice (b) and choice (d) are therefore untrue.

Therefore , the solution of the given problem of function comes out to be  Option (c) is correct f(x) < 0 over the interval (-∞ , 3) .

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The expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4

The expression is given as:

(-2)^4/(-2)^2

Apply the law of indices

(-2)^4/(-2)^2 = (-2)^(4 -2)

4 - 2 has the same value as 6 - 4

So, we have:

(-2)^4/(-2)^2 = (-2)^(6-4)

Apply the law of indices

(-2)^4/(-2)^2 = (-2)^6/(-2)^4

Hence, the expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4

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Answer:

The answer to the question provided is 1.

Step-by-step explanation:

☆Simply cross multiply.

\( \frac{7}{z} = \frac{84}{12} \\ \\ \frac{84z}{84} = \frac{84}{84} \\ \\ z = 1\)

Glad to help anytime!

The variables in the equations are aligned as follows:   2x - 3y = 9 and

2x - 3y = 8/3

When we talk about aligning a system of linear equations, we mean rearranging the equations so that the variables are in the same order and have the same coefficients. This is done to make it easier to apply methods for solving systems of equations, such as substitution or elimination.

In a system of linear equations, each equation typically involves two or more variables. The variables may have different coefficients in each equation, and they may appear in a different order. Aligning the system involves rearranging the equations in a way that puts the variables in the same order, with the same coefficients.

Align the variables in given the system of linear equations :

To align the variables in the given equations, we need to rearrange the second equation so that the coefficients of  and  are the same as in the first equation.

To align the variables in the equations, we need to rearrange the terms so that the x, y, and constant terms are all grouped together.

Starting with the first equation:

2x - 3y = 9

We can rearrange this as:

2x = 3y + 9

Now we can divide both sides by 2 to get x by itself:

x = (3/2)y + 4.5

Now let's move on to the second equation:

1-6x +9y = -7

We can rearrange this as:

-6x + 9y = -8

Next, we'll divide both sides by -3 to get x by itself:

2x - 3y = 8/3

Now both equations are in the form of:

ax + by = c

where a, b, and c are constants. The aligned equations are:

2x - 3y = 9

2x - 3y = 8/3

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Answer:

c. goemon does not trust his rescuers.

Step-by-step explanation:

goemon said it might be poison.

he was cautious about eating the food.

This is a horizonal line going through y = 4.

Horizontal lines are of the form

Where

a is a number

Slope is rise over run, or, the change in y divided by change in x.

No matter what the change in x is, the change in y is always zero (horizontal line). Thus, the slope is always 0 as well.

1.

The slope of the line is 0

2.

The slope intercept form is:

Since the slope is zero, m = 0 and y intercept (b) is 4, we have:

Answer:

7(a+2b)

Step-by-step explanation:

To factor an expression, you want to find the greatest common factor (GCF). I know that 7 can go into both 14 and 7, so my GCF would be 7. If I divide both 7a and 14b by 7, I get a and 2b. This means that my answer would be 7(a+2b) as that simplifies to 7a+14b. Hope that was helpful!  

Answer:

2(7b + a)

Step-by-step explanation:

to factorize u should take the hcf of both number and put it outside the bracket. if u solve it u can see that 2(7b + a) also equals to 14b + 7a when u use distributive property

i hope this helps

Answer:

t= -4, -5, -6, -7..... -999... erc

Responder:

20.000

Explicação passo a passo:

Dado que:

Porcentagem de bois no rebanho = 15%

Percentagem de vacas = (100 - 15)% = 85%

Número de vacas = 17.000

Por isso,

85% = 17.000

15% = x

Multiplicação cruzada

0,85x = 17.000 * 0,15

0,85x = 2550

x = 2550 / 0,85

x = 3000

Número de bois no rebanho = 3000

Portanto, número total de gado no rebanho =

3000 + 17000 = 20.000

Answer: i don't know if it'll help, but i got 5/7. don't see that on there, but hope it helps

Step-by-step explanation:

Answer: 76

Step-by-step explanation:

4 * 22 = 88

88-12 = 76

The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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Answer:

the first one and the fith one

Step-by-step explanation: