the older of the two systems for greek numerals that inspired the roman numerals was known as the numerals.

D) The example (2x^2 + 5x) + (4x^2 - 4x) = (4x^2 - 4x) + (2x^2 + 5x) illustrates the commutative property of addition for polynomials.

The commutative property of addition for polynomials states that the order in which polynomials are added does not affect the result of the sum. In other words, it states that if we have two polynomials A and B, the result of adding A and B (A+B) will be the same as adding B and A (B+A).

For example, consider the polynomials (2x^2 + 5x) and (4x^2 - 4x). If we add these two polynomials in the order given, (2x^2 + 5x) + (4x^2 - 4x) = 6x^2 + x. Now, if we add these two polynomials in the reverse order, (4x^2 - 4x) + (2x^2 + 5x) = 6x^2 + x. We can see that the order of the polynomials does not affect the result of the sum, and thus it holds the commutative property of addition.

Option (2x^2 + 5x) + (4x^2 - 4x) = (4x^2 - 4x) + (2x^2 + 5x) illustrates the commutative property of addition for polynomials, because it shows that the order of the polynomials does not matter and it gives the same answer.

It is important to note that the other options does not illustrate the commutative property.

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The component of a linear programming model that is NOT listed is "Decision variables."

A linear programming model consists of several components that work together to optimize a given objective while considering various constraints. The components of a linear programming model include:

Constraints: These are the limitations or restrictions that define the feasible set of solutions. Constraints restrict the values that decision variables can take.

Objective Function: This function represents the goal or objective of the linear programming problem. It is either minimized or maximized based on specific criteria.

Feasible Region: Also known as the feasible set or feasible solution space, this refers to the collection of all points that satisfy each constraint in the linear programming problem. It represents the set of possible solutions that meet all the given constraints.

However, "Decision variables" is not a component of a linear programming model but rather the unknowns or variables that we want to determine in order to optimize the objective function.

Decision variables are not a component of a linear programming model. The components of a linear programming model include constraints, objective function, and feasible region. The feasible region refers to the collection of all points that satisfy each constraint in the linear programming problem.

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The value of 4 in this number is 4 units or 4 ones and  the value of 4 in this number is 4 hundreds or 400.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

A number is an arithmetic value used for representing the quantity and used in making calculations. A written symbol like “3” which represents a number is known as numerals. A number system is a writing system for denoting numbers using digits or symbols in a logical manner.

The value of 4 in the following numbers is as follows:a) 43 - The value of 4 in this number is 4 units or 4 ones.b) 4631 - The value of 4 in this number is 4 hundreds or 400.

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Answer:

The answer is y = 3x + 3.

Step-by-step explanation:

Hope it helped!

The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

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Answer:

True

Step-by-step explanation:

If you are given a linear function in standard form, you can rearrange that standard form equation into a slope intercept form.

Answer:

12÷5= 2.4 miles per hour

Step-by-step explanation:

(144÷12)÷(15÷3)

= 12÷5

=2.4

Yes, even if you don't know how many handshakes there were overall, you can be sure that there were at least two guests who had the same number.

Assume that the gathering will have n visitors. With the exception of oneself, each person may shake hands with n-1 additional individuals. For each guest, this means that there could be 0, 1, 2,..., or n-1 handshakes.

There will be the following number of handshakes if each guest shakes hands with a distinct number of persons (i.e., no two guests will have the same number of handshakes):

0 + 1 + 2 + ... + (n-1) = n*(n-1) divide by 2

The well known formula for the sum of the first n natural numbers . The paradox arises if n*(n-1)/2 is not an integer since we know that the actual number of handshakes must be an integer. The identical number of handshakes must thus have been shared by at least two other visitors.

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Answer:

Step-by-step explanation:

5

Answer:

Answer= 17.5 (B)

Step-by-step explanation:

This is tangent because TOA(opposite/adjacent)

On your calculator, do side length(25) sin angle(35)=17.5

Answer:

Step-by-step explanation:

Volume = 12* 15 * 5 = 900 cm^3

900 cm^3 * 6.6 g/cm^3 = 5940 g

There is only one child in the park who does not like to play either cricket or football or soccer.

Additionally, you should ignore any typos or irrelevant parts of the question .Here's how you can solve the given problem :Given that ,In a park, 25 children play every day in the evening.

12 children like to play cricket.8 children like to play football.4 children like to play soccer.Total children who like to play either of these three sports = \(12 + 8 + 4 = 24.\)

Therefore, the number of children who do not like to play any of these sports = Total number of children - Number of children who like to play any of these sports= \(25 - 24= 1\).

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Answer:

the answer is B

Step-by-step explanation:

since 10 isn't a perfect square

Answer:

\(27)x {}^{3} + 3x {}^{2} - 10x - 24 \\ 28)x {}^{3} - 9 {}^{2} + 8x + 60\)

Step-by-step explanation:

Greetings!!

\(27)(x - 3)(x + 2)(x + 4)\)

Expand; (x-3)(x+2): x^2-x-6

Apply FOIL method: (a+b) (c+d) = ac+ad+bc+bd

\((x - 3)(x + 2) = x.x + x.2 - 3.x - 3.2\)

simplify

\(x {}^{2} - x - 6\)

\(x {}^{2} - x - 6.(x + 4)\)

distribute parentheses

\( = x {}^{2} .x + x {}^{2} .4 - x.x - x.4 - 6.x - 6.4 \\ = x {}^{3} + 4x {}^{2} - x {}^{2} - 6x - 24\)

simplify/ Add similar elements

\(x {}^{3} + 3x {}^{2} - 10x - 24\)

Thus, use the same format for question number 28 and you will get the value

\(x {}^{3} - 9x {}^{2} + 8x + 60\)

If you have any questions or there is sth unclear tag me on comment box

Hope it helps!!

Answer:

$ 143000

Step-by-step explanation:

her net worth is her assets and income minus her debts and expenses

160000 + 45000 - 22000 - 40000 = 143000

Answer:6

Step-by-step explanation:

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

What is matrix ?

A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,

1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.

2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.

3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.

4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

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Answer:

2 1/2 inches

Step-by-step explanation:

(See attachment below)

Answer:

Answer is TS ≅ HG.

Step-by-step explanation:

When a triangle is rotated the corresponding parts are congruent.

Here we get image triangle S T R when we rotate the triangle G H J. So, the corresponding parts of congruent triangles are congruent.

So, ST = GH

RT= HJ

SR= GJ

<S= <G

<T = <H

<R=<J

According to them, the option TS= HG is correct.

Answer:

C. TS ≅ HG

Step-by-step explanation:

Credits to the person above!!!

The standard deviations that would meet a 5-sigma capability for Cpk are  0.005, 0.015, and 0.025. (Options A, B and C).

To determine which standard deviations would meet a 5-sigma capability for Cpk, we need to use the following formula:

Cpk = minimum((USL - mean) / 3sigma, (mean - LSL) / 3sigma)

where USL is the upper specification limit, LSL is the lower specification limit, mean is the process mean, and sigma is the process standard deviation.

For a 5-sigma capability, we want Cpk to be at least 2.0, so we can set up the following inequality:

2.0 <= minimum((USL - mean) / 3sigma, (mean - LSL) / 3sigma)

Assuming the process mean remains unchanged, and the specification limits are at ±3 sigma from the mean (which is a common assumption), we can simplify the inequality to:

2.0 <= 1/3sigma

which can be rearranged as:

sigma <= 1/6

Therefore, the standard deviation should be less than or equal to 0.1667 to achieve a 5-sigma capability.

Now we can check which of the given standard deviations meet this criterion:

a. 0.005: Yes, this is less than 0.1667.

b. 0.015: Yes, this is less than 0.1667.

c. 0.025: Yes, this is less than 0.1667.

d. 0.035: No, this is greater than 0.1667.

e. 0.045: No, this is greater than 0.1667.

f. 0.055: No, this is greater than 0.1667.

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Answer:

B)

4.5 cm

Step-by-step explanation:

The formula for arc length when our central angle is in degrees =

2πr(θ/360)

θ = 86°

Diameter = 6cm Radius = Diameter /2

Radius = 6cm/2 = 3cm

Hence,

Intercepted arc length = 2 × π × 3 (86/360)

= 2 × π × 3 × 0.2388888889

= 4.5029494701 cm

Approximately = 4.5 cm

Option B is the correct answer

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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Answer:

the gradient of line A is 2 and the gradient of line B is -1

Step-by-step explanation:

I don´t know if this is correct for sure but I double checked and got the same answer each time. Tell me if it is wrong

hope this helps :)

Answer

Part A : 16

Part B

Daves Prism is 60 cubic inches in volume while olgas is 16

60-16= 44

Answer:

last one I hope this helps you

Step-by-step explanation:

5^6

The value of x is -4.

To find the value of x, we need to set up an equation based on the given information.

The perimeter of a triangle is calculated by adding the lengths of all three sides, while the perimeter of a rectangle is obtained by adding the lengths of all four sides.

In the triangle, the lengths of the sides are 6x ft, 4(2x - 1) ft, and 6x ft.

Therefore, the perimeter of the triangle is:

6x + 4(2x - 1) + 6x = 16x - 4 ft.

In the rectangle, the lengths of the sides are 2(3x + 1) ft and 3x ft.

Thus, the perimeter of the rectangle is:

2(2(3x + 1) + 3x) = 2(6x + 2 + 3x) = 2(9x + 2) = 18x + 4 ft.

Since the perimeter of the triangle is equal to the perimeter of the rectangle, we can set up the equation:

16x - 4 = 18x + 4.

To solve for x, we'll isolate the variable terms on one side of the equation:

16x - 18x = 4 + 4,

-2x = 8,

x = -4.

Therefore, the value of x is -4.

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Answer:

157.08

Step-by-step explanation:

V=πr^2 h/3=π·5^2·6/3≈157.07963

Round: 157.08

The limit of the function as x approaches 0 is 0.  So the answer is 0.

The limit of the function as x approaches 0 is given by:
lim x→0 8 − 8 cos(x) 4

To find the limit, we can use the fact that lim x→0 cos(x) = 1. This means that the limit of the function as x approaches 0 is:
lim x→0 8 − 8(1) 4

Simplifying the expression, we get:
lim x→0 8 − 8 4

= lim x→0 0 4

= lim x→0 0

= 0

Therefore, the limit of the function as x approaches 0 is 0.  So the answer is 0.

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