find the square of x^2-4x-5​

A. State-space model of the nonlinear system dynamics, and it is valid only in the vicinity of the equilibrium points.

The state-space model of the nonlinear system dynamics is given by the following equations:

where

B. Equilibrium points

The equilibrium points of the system are given by the solutions to the system of equations x = 0. These equations are:

```

Assuming that x1c = R, which is the nominal point for r in orbit, we can solve for the equilibrium points as follows:

C. Linearized state-space representation of the system

The linearized state-space representation of the system is given by the following equations: x = Ax + Bu

where

This is a simplified version of the nonlinear system dynamics, and it is valid only in the vicinity of the equilibrium points.

The state-space model of a dynamical system is a mathematical representation of the system that uses state variables to describe the system's behavior.

The state variables are a set of variables that completely describe the system's state at a given time. The state-space model is typically used to analyze the stability and controllability of dynamical systems.

In the case of the satellite orbit-plane motion system, the state variables are r, θ, r, and θ˙. The state-space model of the system describes how these state variables evolve over time.

The equations of the state-space model can be used to analyze the stability of the system's equilibrium points. They can also be used to design controllers for the system.

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Colin receives £18.84 more than Paul in tips.

To determine the difference in tips between Colin and Paul, we need to calculate their respective shares based on the given ratio. The ratio of their shares is 2:3, which means that for every 2 parts Colin receives, Paul receives 3 parts.

Let's assign a value to one part of the ratio. Since the total sum of tips is £71.10, we can divide it into 9 equal parts (2+3+4=9). Each part is worth £7.90 (£71.10/9).

Colin's share is 2 parts, so he receives £15.80 (2 * £7.90), while Paul's share is 3 parts, so he receives £23.70 (3 * £7.90).

To find the difference, we subtract Paul's share from Colin's share: £23.70 - £15.80 = £7.90. Therefore, Colin receives £7.90 more than Paul in tips.

It's important to note that the calculation assumes that the ratio accurately reflects the distribution of tips among the three waiters and that there are no additional factors or considerations affecting the allocation of tips.

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Answer:

4

Step-by-step explanation:

slope is rise/run, rise is 4, while run is 1.

4/1=4, you'd write the slope as 4x in an equation, not sure if you're supposed to write it as 4 if it's just asking for the slope.

The total height of the building in the picture has been shown as

x + x + 6

That is, the first two storys have been shown as x feet each and the total height is 26 feet.

That means the two x are actually 20 feet, (if you deduct the 6 feet given)

Total height = x + x + 6

26 = x + x + 6

26 = 2x + 6

Subtract 6 from both sides of the equation

26 - 6 = 2x + 6 - 6

20 = 2x

Divide both sides of the equation by 2 and you now have,

20/2 = 2x/2

10 = x

Therefore, te height of each story is 10 feet!

Answer:

7 and -4

Step-by-step explanation:

Coefficients are the number before the variables.  Their job is to multiply the variable by their quantity. 7x and -4x are the two expressions with both a number and a variable.  That makes 7 and -4 the coefficients.

Answer:

the answer for your question is 1200pi

Answer:5.2 x 10-1

Step-by-step explanation:hope i could help ;)

Answer:51 cm^2

Step-by-step explanation:

You can consider this as a circle.

To find the area of a given sector of a circle you have to use this formula  

Angle/360 x  π x r ^ 2

in this case you can find the angle of one side by substracting 180 from 120

180-120=60

then

60/260 x  π x 7^2 = 25.6563 rounded of to 26 , multiply this by 2 to get the total area .

total area = 51 cm^2

D. No, because the probability of being left-handed is greater, x must count the number of left-handed adults.

The binomial probability formula can be used to calculate the probability of a certain number of successes (or left-handed individuals) in a given number of trials (100 adults). In order for the binomial probability formula to be used, the trials must be independent, meaning that the selection of one person does not affect the selection of the next one. Since the probability of being left-handed is greater, the binomial probability formula cannot be used in this case and x must count the number of left-handed adults.

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Answer:

Shakeva will pay $44,086 for the purchase including all the fee.

Step-by-step explanation:

Given that:

Cost of car = $ 41.9K = 41.9*1000 = $41900

Sales tax = 5%

Sales tax = 0.05 * 41900 = $2095

Registration = $27

New title certificate = $19

State safety and emissions inspection = $45

Total amount = 41900 + 2095 + 27 + 19 + 45 = $44086

Hence,

Shakeva will pay $44,086 for the purchase including all the fee.

Answer:

x= -3

y= 1

Step-by-step explanation:

y=4x+13

y=6x+19

put them equal to each other

4x+13=6x+19

subtract 4x from each side

13=2x+19

subtract 19 from both sides

-6 = 2x

divide by 2

x= -3

plug x into one of the equations

y=4x+13

y=4(-3)+13

y= -12+13

y= 1

Total number of seats that remain unsold are 168.

What is statistics?

The branch of mathematics dealing with data collection, organization, analysis, interpretation and presentation.

Let's start by defining some variables to represent the unknowns in the problem:

From the problem, we know that:

We also know that the total revenue collected is $34,650:

27x + 45y = 34650

Now we can substitute y = 0.5x from the second equation into the third equation and simplify:

27x + 45(0.5x) = 34650

27x + 22.5x = 34650

49.5x = 34650

x = 700

So there were 700 $30-seats and 350 $50-seats.

The number of sold $30-seats is 0.9(30x) = 567, and the number of sold $50-seats is 0.9(50y) = 315.

Therefore, the total number of seats sold is 882, and the number of unsold seats is:

1050 - 882 = 168

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∠mkj angle is an adjacent interior angle to ∠jkm

Adjacent interior angles are two angles that share a common vertex and a common side. In the given angle ∠jkm, the common vertex is at point "k" and the common side is the line segment joining points "j" and "m". Therefore, the adjacent interior angle to ∠jkm is ∠mkj.

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Answer:

From this information, we can determine the car's speed, which is 60 miles per hour.

Step-by-step explanation:

speed:mph

In this situation, the car's mph is 60mph

30 x 2 = 60

Answer:

Step-by-step explanation:

For 12 if its a parrell line then the slope of the two lines have to be the same. Since the slope is 3/5 then the answer is A because the slope in A is  also 3/5

for 13 if its perpendicular, then the slope has to be the opposite sign and flipped. so for example if its a negative then the slope has to be a positive and if the slope is 1/2 you have to flip it which is 2/1 and 2/1 equals 2.

so in this one if the slope is 3/5 we have to flip it making it 5/3 and the opposite of a positive is a negative so it would be -5/3, so the answer is C.

Answer:

12. A

13. C

Step-by-step explanation:

12. to be parallel needs same slope

13. to be perpendicular flip slope and if positive change to negative

Answer:

200 units³

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V = lwh

where l is the length, w is the width, and h is the height

Substitute with the given values:

V = lwh

V = (10)(4)(5)

Multiply:

V = (10)(4)(5)

V = (40)(5)

V = 200

Therefore, the volume of the rectangular prism is 200 cubic units.

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

sum will be negative

Step-by-step explanation:

eg:-

- 20 - 20

= - 40

the sign does not change if it's the same sign

Answer:

The sum will be negative

Step-by-step explanation:

Tell me if i am wrong please

The value of Angle BXC is 70°

Corresponding angles are the angles which are formed in matching corners with the transversal when two parallel lines are intersected by any other line called the transversal.

The line which joins the two parallel lines is usually called a transversal.

Angle XBC is 55° because it is corresponding with Angle AXY

From triangle XBC, Angle XBC is equal to XCB( base angles of an isosceles triangle)

so XBC = XCB = 55°

Also,

XBC + XCB + BXC = 180( sum of angles in triangle XBC)

55 + 55 + BXC = 180

110 + BXC = 180

BXC = 180 - 110

BXC = 70°

In conclusion, Angle BXC is 70°

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The length of the curve represented by the vector function r(t) = 6t, t^2, 19t^3, where 0 ≤ t ≤ 1, is approximately 27.9865. To find the length of the curve represented by the vector function r(t) = 6t, t^2, 19t^3, where 0 ≤ t ≤ 1, we need to use the formula for arc length of a vector function.

This formula is given by:

L = ∫a^b ||r'(t)|| dt

where L is the length of the curve, a and b are the lower and upper bounds of the parameter t, and ||r'(t)|| is the magnitude of the derivative of r(t) with respect to t.

In this case, we have:

r(t) = 6t, t^2, 19t^3
r'(t) = 6, 2t, 57t^2
||r'(t)|| = √(6^2 + (2t)^2 + (57t^2)^2)
||r'(t)|| = √(36 + 4t^2 + 3249t^4)

Now we can substitute these expressions into the formula for arc length and integrate:

L = ∫0^1 √(36 + 4t^2 + 3249t^4) dt

This integral is not easy to solve analytically, so we need to use numerical methods to approximate the answer. One common method is to use Simpson's rule, which gives:

L ≈ h/3 [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + ... + 2f(xn-2) + 4f(xn-1) + f(xn)]

where h is the step size (h = (b-a)/n), f(xi) is the value of the integrand at the ith interval endpoint, and n is the number of intervals (n must be even).

Using Simpson's rule with n = 100 (for example), we get:

L ≈ 27.9865

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Answer:

56

Step-by-step explanation:

each can fit 8 chickens so that means that 7 coops can fit 56 chickens

8×7=56

Answer:

below

Step-by-step explanation:

Parallel lines will ALWAYS have the same slope. Thus, the slope for the given line will be the same for the parallel line.

Best of Luck!

Answer:

B&E

Step-by-step explanation:

Realized that I didn't actually "answer it" hahaha! Using a online calculator is always helpful in finding answers like these.

Answer: a polygon with 8 sides is called an octagon.

Answer:

-32

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

bomdas

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

The position function of the particle is given by s(t) = 2/3sin(3t) + 1/4cos(4t) + C, where C is the constant of integration.

To find the position function, we need to integrate the acceleration function a(t). The integral of 2cos(3t) with respect to t is (2/3)sin(3t), and the integral of -sin(4t) with respect to t is (-1/4)cos(4t). Adding the two results together, we get the antiderivative of a(t).

Since we are given that s(0) = 0, we can substitute t = 0 into the position function and solve for C:

s(0) = (2/3)sin(0) + (1/4)cos(0) + C = 0

C = 0 - 0 + 0 = 0

Therefore, the position function of the particle is s(t) = 2/3sin(3t) + 1/4cos(4t).

Given that v(0) = 1, we can find the velocity function by taking the derivative of the position function with respect to t:

v(t) = (2/3)(3)cos(3t) - (1/4)(4)sin(4t)

v(t) = 2cos(3t) - sin(4t)

Thus, the velocity function of the particle is v(t) = 2cos(3t) - sin(4t).

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Given the equation of a line as shown below :

To determine the slope and the y - intercept of the line, compare the equation with straight line equation

After comparing the equation of a line

Therefore slope = -3 and y - intercept = -2

Answer:

95 plus 5 equal 100

Step-by-step explanation: