What is the result when the sum of 4x^2+8x-1 and 7x^2-3x+8 is multiplied by 5x^2 ?

The answer is False. In a finite field, for each non-zero number x, there exists a multiplicative inverse y such that x*y = 1, not 0. The only number that would satisfy x*y = 0 in a finite field is when either x or y is 0.

True. In a finite field, every non-zero element has a multiplicative inverse, meaning that there exists a number y such that x*y = 1. Therefore, if we multiply both sides by 0, we get x*(y*0) = 0, which simplifies to x*0 = 0. Therefore, for each number x in a finite field, there is a number y such that x*y = 0.
Multiplying an even number equals dividing by its difference and vice versa. For example, dividing by 4/5 (or 0.8) will give the same result as dividing by 5/4 (or 1.25). That is, multiplying a number by its inverse gives the same number (because the product and difference of a number are 1.

The term reciprocal is used to describe two numbers whose product is 1, at least in the third edition of the Encyclopedia Britannica (1797); In his 1570 translation of Euclid's Elements, he mutually defined inversely proportional geometric quantities.

In the multiplicative inverse, the required product is usually removed and then understood by default (as opposed to the additive inverse). Different variables can mean different numbers and numbers. In these cases, it will appear as

ab ≠ ba; then "reverse" usually means that an element is both left and right reversed.

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a) The state space equations can be written as:

x₁' = x₂

x₂' = -x₁ - sin(x₁) + u

b) 0 = -x₁ - sin(x₁) + u, we can use numerical methods or graphical analysis to determine the equilibrium points by finding the intersection of the equation with the input u.

c) The stability analysis may involve numerical methods or software tools, depending on the specific values and complexity of the system.

Here, we have,

To convert the given second-order differential equation into state space form, we need to introduce two state variables.

Let's define the state variables as follows:

x₁ = y

x₂ = y'

Now, we can rewrite the equation using these state variables:

x₁' = x₂

x₂' = -x₁ - sin(x₁) + u

a) State Space Equations:

The state space equations can be written as:

x₁' = x₂

x₂' = -x₁ - sin(x₁) + u

b) Equilibrium Points:

To find the equilibrium points, we set the derivatives of the state variables to zero:

x₁' = 0

x₂' = 0

From x₁' = x₂ = 0, we have x₂ = 0.

Substituting x₂ = 0 into x₂' = -x₁ - sin(x₁) + u, we get:

0 = -x₁ - sin(x₁) + u

This equation does not have a simple algebraic solution to find the equilibrium points. However, we can use numerical methods or graphical analysis to determine the equilibrium points by finding the intersection of the equation with the input u.

c) Stability of Equilibrium Points:

To determine the stability of the equilibrium points, we need to examine the behavior of the system around those points. We can use linearization and eigenvalues analysis to assess stability.

Linearizing the system around an equilibrium point (x₁*, x₂*) yields:

A = ∂f/∂x = [[0, 1], [-1 - cos(x₁*)]]

The eigenvalues of matrix A can provide insight into the stability. If all eigenvalues have negative real parts, the equilibrium point is stable. If any eigenvalue has a positive real part, the equilibrium point is unstable.

To evaluate stability, you need to calculate the eigenvalues of matrix A for each equilibrium point by substituting the specific values of x₁*.

The stability analysis may involve numerical methods or software tools, depending on the specific values and complexity of the system.

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complete question:

The equation: y"=-y-sin(y)+u is given, now find-

a) Find the state space equations

b) equilibrium points for the following equation

c) Find the stability for the equilibrium points.

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Therefore, the value of x is -10.

Step-by-step explanation:

I hope you can please mark me as

Jody has created a systematic sampling error by forgetting to include a segment of the population that is relevant to the study.

Systematic sampling is a sampling method where every nth member of a population is selected to be part of the sample. In Jody's case, she forgot to include a specific segment of the population, which means that the sampling process was not systematic. This error can introduce bias and affect the representativeness of the sample.

No calculations are required for this type of error.

Jody's mistake in not including a relevant segment of the population has resulted in a systematic sampling error. To ensure the accuracy and validity of the study, it is important to rectify this error by including the missing segment or adjusting the sampling method accordingly.

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The relation R on the set (1, 2, 3, 4) can be represented by an arrow diagram and a matrix. The arrow diagram visually depicts the connections between the elements.

To represent the relation R on the set (1, 2, 3, 4) using an arrow diagram, we draw a directed arrow from each element in the set to the element it is related to. For example, we draw an arrow from 1 to 3 and 4, an arrow from 2 to 1, an arrow from 3 to 2 and 4, and an arrow from 4 to 2. The resulting arrow diagram shows the connections between the elements in the relation.

The matrix representation of a relation uses a table to show the presence or absence of connections between elements. For the relation R on the set (1, 2, 3, 4), we create a 4x4 matrix where the rows and columns correspond to the elements of the set. We fill in the matrix with 1s to indicate that there is a connection between the respective elements and 0s otherwise. In this case, the matrix would be:

| 0 0 1 1 |

| 1 0 0 0 |

| 0 1 0 1 |

| 0 1 0 0 |

In the matrix, a 1 in the i-th row and j-th column indicates that the element i is related to the element j. For example, the entry in the first row and third column is 1, indicating that 1 is related to 3.

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Responder:

La pizza con un perímetro de 100 cm es más grande ¿verdad?

Explicación paso a paso:

Deja que la pizza tenga forma circular.

Sea el área de la pizza = πd² / 4 y;

Perímetro de la pizza = πd

d es el diámetro de la pizza

Si la madre dice que el que tiene un perímetro de 100 cm es más grande, para estar seguros necesitamos obtener el diámetro de la pizza. La de mayor diámetro será la pizza más grande.

P = 100cm

100 = πd

d = 100 / π

d = 100 / 3,14

d = 31,85 cm

El diámetro de la pizza mamá es de 31,85 cm.

Si el padre dice que el que tiene un área de 100 cm² es más grande, obtengamos también el diámetro para estar seguros.

A = πd² / 4

100 = πd² / 4

400 = πd²

d² = 400 / π

d² = 400 / 3,14

d² = 127,39

d = √127,39

d = 11,29 cm

Por lo tanto, el diámetro de la pizza padre es de 11,29 cm.

Dado que el diámetro de la pizza madre es mayor que el de esa, la pizza con un perímetro de 100 cm es más grande, lo que demuestra que la madre tiene razón.

Answer:

Step-by-step explanation:

because CE is 8 and the space is equal to ET

Answer:

z=6

Step-by-step explanation:

2z+z+9=27

3z+9=27

3z=18

z=6

Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

Graph attached

The summation notation calculator is a instrument is frequently referred to as a sigma notation calculator since it makes it simple to calculate the sum of a set of integers, also known as Sigma.

The consecutive addition of a group of numbers is known as a summation. One of the four fundamental arithmetic operations, along with subtraction, multiplication, and division, is addition. For a few numbers, particularly integers, it is easy to do, but with fractions and real numbers, it can be more difficult. This is where our summation calculator might be useful. The numbers can be manually entered or copied and pasted, separated by any non-numerical sign, with the exception of the minus and dot. There are shortcuts for computing the sums of particular sequences.

The lower and upper bounds, a mathematical formula to be used to compute each member of the sum series, and lastly the name of the variable to be used in the sigma expression must all be entered in the "Sigma notation" mode.

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Answer:

that would 6a+4

Step-by-step explanation:

8a - 2a , 8 - 4

Answer:

6a + 4

Step-by-step explanation:

8 + 8a - 2a - 4

Combine Like Terms

(8a - 2a) + (8 - 4)

6a + 4

Answer:

B

Step-by-step explanation:

Lucas bought 6 scarves and 4.8 hats.

Lucas has $100 to spend on scarves (X) and hats (Y).

Each scarf costs $7 and each hat costs $11.

If Lucas buys two or more scarves, he gets one scarf for free.

If he buys 4.8 hats, how many scarves does Lucas consume?

Let us suppose that Lucas buys x scarves and y hats.

He has to satisfy the following conditions:Cost of x scarves = 7x Cost of y hats = 11y

His budget is $100.

Therefore, 7x + 11y = 100 ----------- (1)

If Lucas buys two or more scarves, he gets one scarf for free.

In other words, if he buys n scarves, then he pays for (n-1) scarves.

Hence, if Lucas buys 2 scarves, he gets 1 for free and he pays for only one.

Therefore, cost of 2 scarves = 7(2-1) = $7

Similarly, if Lucas buys 3 scarves, he gets 1 for free and he pays for only two.

Therefore, cost of 3 scarves = 7(3-1) = $14 And so on...

We can write this information in a table:

Let us assume that Lucas buys n scarves. He gets (n/2) scarves for free.

Total cost of n scarves is given by:C(n) = 7(n - n/2) + 11y ----------- (2)

Since he buys 4.8 hats, we can write:y = 4.8

Therefore, equation (1) becomes:7x + 11(4.8) = 1007x = 100 - 11(4.8)7x = 45.6x = 6.51

Thus, Lucas bought 6 scarves and 4.8 hats.

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The algebraic expression for the verbal expression 7 divided by the product of 9 and x is 7/9x.

Given verbal expression is 7 divided by the product of 9 and x.

Hence, the required algebraic expression for given verbal expression is 7/9x.

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Therefore, the answer is -8. The simplified expression involving h is -8. The difference quotient is the formula used in calculus to compute the derivative of a function.

The given function is f(x) = -8x +9.The difference quotient h for the given function is calculated as follows: f(x+h)-f(x) / hf(x+h) = -8(x+h) + 9 = -8x - 8h + 9f(x) = -8x + 9

So, the numerator is given by: f (x+h) - f(x) = [-8 ( x+h) + 9] - [-8x + 9]= -8x - 8h + 9 + 8x - 9= -8h

On substituting the numerator and denominator values in the given equation we have:(-8h) / h= -8

Therefore, the answer is -8.

The simplified expression involving h is -8. The difference quotient is the formula used in calculus to compute the derivative of a function.

The quotient formula is used to calculate the average rate of change in a function, with h representing the change in the input variable x.

The difference quotient formula is also used to calculate the slope of a curve at a given point.

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The true comparison is 2/3 > 3/10.

Option (C) is correct.

What is a fraction?

A fraction is a mathematical representation of a part of a whole. It is written as two numbers separated by a slash (/) and represents the number of parts being considered out of the total number of parts in a whole. The number on the top is called the numerator and the number on the bottom is called the denominator.

To compare the amounts of water the scientist poured, we need to compare the fractions 2/3 and 3/10. To do this, we can convert both fractions to have a common denominator, which is the least common multiple of the denominators.

The least common multiple of 3 and 10 is 30. So, we can convert both 2/3 and 3/10 to 30 as the denominator:

2/3 = 20/30

3/10 = 9/30

Comparing the two fractions with a common denominator, we see that 20/30 is greater than 9/30. Therefore, the comparison that is true is:

C) 2/3 > 3/10

Hence, the true comparison is 2/3 > 3/10.

Option (C) is correct.

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Answer:

She walks 100 m in 1 minute

Step-by-step explanation:

Here, given the equation, we want to know the distance covered in a minute

From the question, the equation is;

d = 100t

so when t is 1

d = 100 * 1 = 100 m

This question is a little ambiguous, but I'd guess the answer is

\( \frac{2}{5} \)

Answer:

8.66 m

Step-by-step explanation:

using Sin, Cos, Tan

sin 60° = AB/AC

sin 60° = AB/ 10

AB = sin 60° × 10

AB = 8.660254038

Therefore AB = 8.66 m

Answer:

Go to photo math thank me later

Step-by-step explanation:

dowload tha app on ur phone

Software engineer seeks promotion, complex problem. Expert guidance or economic literature recommended for comprehensive solution.

The given problem involves analyzing different scenarios related to a software engineer seeking a promotion in a tech firm. It covers the outcomes and implications of various options available to the employee, including taking a sabbatical for an Executive MBA degree and disclosing GPA to the manager.

To provide a complete solution and analysis for all the parts, it would require a detailed explanation and mathematical modeling. Given the complexity and length of the problem, it is not feasible to provide a complete solution within the constraints of this text-based interface.

It would be best to consult relevant economic literature or seek expert guidance to fully address and solve the problem.

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Answer:

$4.29

Explanation:

$11.44 / 8 = $1.43

$1.43 x 3 = $4.29

Answer:

Option C

Kindly award branliest

Step-by-step explanation:

Tn = n(n + 1)

T1 = 1(1 +1) = 1(2) = 2

T2 = 2(2+1) = 2(3) =6

T3 = 3(3 + 1) = 3(4) = 12

T4 = 4(4 + 1) = 4(5) = 20

... It obeys

The expression 3g in the numerator represent the total amount of money paid for the gallons of gas.

Given expression:3g / 4

where,

Therefore, the expression 3g in the numerator represent the total amount of money paid for the gallons of gas.

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Answer:

50 i think not sure what kind a question this is

Step-by-step explanation:

fyp :)

The number of the small seats is 30 while the number of the big seats is 94.

We know that from the question, Vicky is an airline attendant. Last week, she worked on flights on 3 small jets and 5 large jets, which could seat a total of 560 passengers. The week before, she was assigned to flights on 5 small jets and 2 large jets, which could seat a total of 338 passengers.

Now;

Let the number of small seats be x and the number of large seats be y

It follows that;

3x + 5y = 560 ----- (1)

5x + 2y = 338 ------(2)

If you multiply (1) by 5 and (2) by 3 we have;

15x + 25y = 2800 ------ (3)

15x + 6y = 1014 -----------(4)

        19 y = 1786

y = 1786/19

= 94

Substitute y = 94 into (1)

3x + 5(94) = 560

x = 560 -  5(94)/3

x = 30

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