The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1). To determine if it is a parallelogram, use the converse of the parallelogram diagonal theorem. This states that if the diagonals, then the quadrilateral is a parallelogram. The midpoint of HJ is and the midpoint of IK is (2, 2). Therefore, HIJK is a parallelogram because of the diagonals, which means they bisect each other.

The difference in the volume of bedroom door in the house taken the length and width into consideration will be 120 inches³.

It should be noted that the volume of a door is simply gotten by multiplying the length by width.

Let's assume that the width is 20 inches. Therefore, the difference will be:

= (36 × 20) - (30 × 20)

= 720 - 600

= 120 inches³

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Answer:

C!

Step-by-step explanation:

the sides all have the same ratio

8/12 = 10/15 = 14/21 = 2/3

Answer:

76.75 should be the answer!

Step-by-step explanation:

76.75 is the answer because first you need to make 18% as a decimal which is 0.18. After that you add it with $65.00 which then you get 11.75. Lastly you add it to 65 and you get 76.75 as your answer!

Your Welcome!!

the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

There are no factors of 24 that are prime numbers. A factor of a number is a whole number that divides that number without leaving a remainder. Prime numbers, on the other hand, are numbers that are divisible only by 1 and themselves, and cannot be expressed as the product of any other numbers.

The prime factors of 24 are 2, 2, and 3. We can factorize 24 as 2 × 2 × 2 × 3 or 2^3 × 3. Here, 2 and 3 are both prime numbers, but they are not factors of 24 in isolation. They are only prime factors of 24 when combined in the manner shown.

This fact highlights an important concept in number theory: the uniqueness of prime factorization. Every composite number can be expressed as a unique product of prime numbers. This fundamental theorem of arithmetic is crucial in many areas of mathematics, including cryptography, where it is used to secure communications and protect sensitive information.

In summary, there are no factors of 24 that are prime numbers. However, the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

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Answer:

x = 14

Step-by-step explanation:

Two lines given in the picture intersect each other at a point.

Given angles are the linear pair of angles.

Since, linear pair of the angles is supplementary,

(7x - 1)° + (6x - 1)° = 180°

(7x + 6x) + (- 1 - 1) = 180

13x -2 = 180

13x = 180 + 2

x = \(\frac{182}{13}\)

x = 14

Therefore, x = 14 will be the answer.

The problem can be modeled as a linear programming problem. We need to minimize the total cost of shipping the boots, which can be represented as a linear combination of the shipment quantities.

Thus, the objective function to be minimized can be written as:

Minimize Z = 4x11 + 5x12 + 7x13 + 6

32 + y33 ≤ 40 (capacity limit at warehouse 3)

y41 + y42 + y43 ≤ 30 (capacity limit at warehouse 4)

y51 + y52 + y53 ≤ 45 (capacity limit at warehouse 5)

xij, yjk ≥ 0 (non-negativity constraint)

Thus, the complete linear programming problem can be formulated as:

Minimize Z = 4x11 + 5x12 + 7x13 + 6x21 + 4x22 + 5x23 + 4y11 + 3y12 + 6y13 + 5y21 + 5y22 + 4y23 + 6y31 + 7y32 + 5y33 + 4y41 + 6y42 + 5y43 + 5y51 + 4y52 + 6y53

Subject to:

x11 + x12 + x13 ≤ 60

x21 + x22 + x23 ≤ 90

x11 + x21 = y11 + y21 + y31 + y41 + y51

x12 + x22 = y12 + y22 + y32 + y42 + y52

x13 + x23 = y13 + y23 + y33 + y43 + y53

y11 + y12 + y13 ≤ 35

y21 + y22 + y23 ≤ 50

y31 + y32 + y33 ≤ 40

y41 + y42 + y43 ≤ 30

y51 + y52 + y53 ≤ 45

xij, yjk ≥ 0

Solving this linear programming problem using a suitable solver will provide us with the optimal values of xij and yjk, which will help us in determining the minimum cost required for shipping the boots while satisfying all the constraints.

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Answer:

the answer for this question is 7-2x

The numerical value of Oz is approximately -1819.86.

Using the chain rule, we have:

\(dz/dt = dz/dx * dx/dt + dz/dy * dy/dt\\dz/ds = dz/dy * dy/ds\)

We can calculate each term using the given equations:

dz/dx = 1

dx/dt = 2

dy/dt = 0

dz/dy = cos(y)

dy/ds = 6t

Substituting these values, we get:

\(dz/dt = dz/dx * dx/dt + dz/dy * dy/dt = 1 * 2 + cos(y) * 0 = 2\\dz/ds = dz/dy * dy/ds = cos(y) * 6t = 6t * cos(6st)\)

To find дz as/Əz, we need to solve for as in terms of z and s:

z = x + sin(y) = 2t + sin(6st)

x = 2t

y = 6st - 1

Solving for s in terms of t, we get:

s = (y + 1)/(6t)

Substituting this into the equation for z, we get:

z = 2t + \(sin(6t(y+1)/(6t)) = 2t + sin(y+1)\)

Taking the partial derivative of z with respect to as, we get:

\(дz/Əz = 1\)

B. To find the numerical values of дz and Oz, we need to plug in the given values of x, y, s, and t into our equations. Using the given values, we get:

x = 2t = -964

y = 6st - 1 = -3617

z = x + sin(y) = -964 + sin(-3617) ≈ -964.73

Using the values of s and t, we can find:

s = (y + 1)/(6t) ≈ -0.9985

t = x/2 ≈ -482

Substituting these values into our equation for дz as/Əz, we get:

дz/Əz = 1

Therefore, the numerical value of дz is 1.

Substituting these values into our equation for dz/ds, we get:

dz/ds = 6t * cos(6st) ≈ -1819.86

Therefore, the numerical value of Oz is approximately -1819.86.

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Answer:

<XWZ ≅ < XZW  by alternate interior angles & WZ = WZ by reflexive property

Step-by-step explanation:

Because they're parallel lines cut by a transversal. So, <W is where one angle is, and <Z is where another angle is. They both share a side as well. Always look out for those types of triangles because those are types of hidden information

Answer: Alex is 15 years

Step-by-step explanation:

Since Alex is w years old and her sister is three years younger than him. The age of his sister will be:

= w - 3.

We will then multiply their ages and equate to 180. This will be:

w × (w - 3) = 180

w² - 3w = 180

w² - 3w - 180 = 0

w² - 15w + 12w - 180 = 0

w(w - 15) + 12(w - 15) = 0

(w + 12)(w - 15)

w - 15 = 0

w = 0 + 15

w = 15 years

Alex is 15 years, her sister is 12 years.

Answer:

At most Jose can cut 6 whole pieces pieces with this length.

Check the picture below.

so we only want the area in pink.

\(\stackrel{\textit{left and right}}{2(4)(11)}~~ + ~~\stackrel{\textit{front and back}}{2(4)(11)}\implies \text{\LARGE 176}~cm^2\)

they look the same size but because of the 2 in front meaning it's going to be double than what the real answer it is (and it twelve Ike it's counter part) it would be six... yet someone already answered before me so credits to him.

ANSWER 6

5.385 is the length of each line segment according to the Pythagoras theorem and distance formula.

The basic Geometric mathematical relationship between one right triangle's three sides is termed as the Pythagorean Theorem, or simply the Pythagorean Theorem. This rule states that the areas with squares with the two parts added together equal the area of the square well with hypotenuse side. The Pythagorean Theorem says that the square that crosses the tangent of a right angled triangle opposite the right angle equals the total of the squares that span the sides of something like a right triangle. It is sometimes written as the generic geometric notation a2 + b2 = c2.

given

A2 + B2 = C2 is a Pythagorean theorem.

Let C be the point (-2,1)

A two-unit line segment AC would be required.

The length of line segment BC would be 5 units.

Incorporate the line segment length into the Pythagorean theorem by adding

2^2 + 562

= 4 + 25

= 29

≅5.385.

5.385 is the length of each line segment according to the Pythagoras theorem and distance formula.

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Answer:  - $9.70.

Step-by-step explanation:

The correct option is: "as the df increases, the t-distribution becomes more normal."

The t-distribution is a family of distributions that depend on a parameter called degrees of freedom (df). The t-distribution is similar to the normal distribution in shape but has heavier tails. As the degrees of freedom increase, the t-distribution becomes more normal in shape and its tails become less heavy.

Therefore, the statements "they are unimodal and symmetric" and "they have fatter tails than a normal distribution" are not entirely accurate. While the t-distribution can be roughly symmetrical and unimodal, its shape depends on the degrees of freedom and can vary from sample to sample. Additionally, the t-distribution has fatter tails than a normal distribution only for small sample sizes and approaches a normal distribution as the sample size (degrees of freedom) increases.

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Answer:

a = 6

Step-by-step explanation:

In multiple regression, the coefficients reflect the expected change in:Y when the associated X value increases by one unit X when the associated Y value decreases by one unit X when the associated Y value increases by one unit Y when the associated X value decreases by one unit The correct option is "Y when the associated X value increases by one unit".

In a multiple regression model, the coefficients refer to the expected change in the dependent variable, y, for a one-unit change in one of the independent variables, x. The multiple regression coefficients refer to the change in y that is predicted when x changes by one unit, with all other variables kept constant.

The adjusted\(R^2\) adjusts \(R^2\) for: non-linearity outlier slow correlation the number of explanatory variables in a multiple regression model The correct option is "the number of explanatory variables in a multiple regression model".The adjusted R2 is a measure of the proportion of the variance in the dependent variable, y, that is explained by the independent variables, x, in a multiple regression model.

The adjusted R2 penalizes models that have more variables that do not contribute to the model's overall explanatory power, resulting in a more accurate measure of the proportion of variance explained by the independent variables.

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Answer:

All real numbers

Step-by-step explanation:

The range is the possible output values

This is a line and the output goes from negative infinity to positive infinity

The range is all real numbers

Answer:

A

Step-by-step explanation:

Since it's a straight line, it extends from negative infinity to positive infinity

a. the median is 2

b. the mean number of goals conceded is 2

Answer:

5 un^2

Step-by-step explanation:

the liens from (0, 0) to (1, 3) and (1, 3) to (4, 2) are perpendicular meaning that the angle at (1, 3) is a right angle

to find the lengths of the sides we must use the pythagorean theorem

a^2 + b^2 = c^2

for the leftmost side

we have 1^2 + 3^2 = c^2

1 + 9 = 10

c^2 = 10

c = sqrt(10)

for the top side

we have

the same thing

1^2 + 3^2 = c^2

1 + 9 = 10

c^2 = 10

c = sqrt(10)

you must multiple sqrt(10) by sqrt(10) and then by 1/2

sqrt(10) * sqrt(10) is 10

10 * 1/2 is 5

the area is 5 un^2

The correct option regarding whether the requirements for a hypothesis test are satisfied is:

D. The conditions are satisfied. The samples are random, and each sample has at least 5 successes and 5 failures.

There are two conditions:

These two conditions are satisfied for this problem, hence, researching this problem on the internet, option D is correct.

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The length of the model car based on the information is 0.8 feet.

It should be noted that scale simply shows the relationship between a measurement on a model as well as the corresponding measurement on the actual object.

From the information, the model car is constructed with a scale of 1:15.

When the actual car is 12 feet long, the length of the model will be illustrated as x. This will be:

= 1/15 = x / 12

Cross multiply

15x = 1 × 12

15x = 12

Divide

x = 12 / 15

x = 0.8

The length is 0.8 feet.

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To find DC, we need to perform matrix subtraction, which involves subtracting the elements of one matrix from the elements of another matrix. Let's use the given matrices C and D, as well as the formula for matrix subtraction to find DC:DC = C - D

Using the given matrices, we get:

DC = [0 1 7 7] - [1 -2 2; 6 1 2; -7 0 0]Note that we cannot subtract D from C directly since the matrices have different dimensions. Therefore, we must break D into individual rows and subtract each row from C. Thus, DC

= [0 - (1) 7 - (2)] [1 - (-6) 7 - 1] [7 - (-7) 7 - 2] DC

= [-1 7 14]Therefore, DC

= [-1 7 14].

Matrix subtraction is the process of subtracting the elements of one matrix from the elements of another matrix. If A and B are two matrices of the same size, the matrix subtraction A - B is defined as a matrix with the same size as A and B, with elements given by (A - B)ij = Aij - Bij.  Instead, we need to break D into its individual rows and subtract each row from C. This gives us the matrix DC, which is a row matrix with three elements.

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Answer:

(11x + 17) = 116°

(13x - 1) = 116°

Step-by-step explanation:

(11x + 17) and (13x - 1) are equal because they are vertically opposite angles.

11x + 17 = 13x - 1

2x = 18

x = 9

Substitute x = 9 into angle measures.

11(9) + 17 = 116°

Since both angles are equal, (13x - 1) is also 116°.

Answer:

please tell me your question

The shape of the histogram is positively skewed and the mean of the histogram is greater than the median

From the complete question (see attachment for histogram), we have the following observations:

The first highlight above means that the shape of the histogram is positively skewed.

This also means that the mean of the histogram is greater than the median

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Answer:

The answer is 7،3

Step-by-step explanation:

\(3 {(x - 5)}^{2} - 1_11 =0 \\ = 3( {x}^{2} - 10x + 25) - 12=0 \\ = 3 {x}^{2} - 30x + 75 - 12=0 \\ = 3 {x}^{2} - 30x + 63=0

(x-7)(x-3)=0

X=7

X=3

add 1

divide by 3

square root

add 5

by following these steps you find that x = 7