-5 -7 21 The matrix A - 4 9 -8 has an eigenvalue X = -1. 1 3 Find an eigenvector for this eigenvalue. V = Note: You should solve the following problem WITHOUT computing all eigenvalues. -2 -5 -51 -21 The matrix B = 3 5 0 has an eigenvector = 3 -2 -2 Find the eigenvalue for this eigenvector. λ = =

Answer:

see explanation

Step-by-step explanation:

Given

2x + 7y = 42

To find the x- intercept let y = 0 in the equation and solve for x

2x + 7(0) = 42, that is

2x = 42 ( divide both sides by 2 )

x = 21 ← x- intercept or (21, 0 )

To find the y- intercept let x = 0 in the equation and solve for y

2(0) + 7y = 42 , that is

7y = 42 ( divide both sides by 7 )

y = 6 ← y- intercept or (0, 6 )

Answer:

x = √2 = 1.414

Step-by-step explanation:

5x-(x+2)^2=x^2-8+x

since (x+2)^2 = x^2 + 2(x)(2) + 2^2 = x^2 + 4x + 4

so

5x - (x^2 + 4x + 4) = x^2 + x - 8

-x^2 + x - 4 = x^2 + x - 8

x^2 + x^2 + x - x = -4 + 8

2x^2 = 4

x^2 = 2

x = √2 = 1.414

Answer:

\(x = \sqrt{2} = 1.414 \\ x = - \sqrt{2} = - 1.414\)

Step-by-step explanation:

\(5x - {(x + 2)}^{2} = {x}^{2} - 8 + x \\ \\ 5x - ( {x}^{2} + 4x + 4) = {x}^{2} - 8 + x \\ \\ 5x - {x}^{2} - 4x - 4 = {x}^{2} - 8 + x \\ \\ - {x}^{2} + x - 4 = {x}^{2} - 8 + x \\ \\ {x}^{2} + {x}^{2} + x - x = 8 - 4 \\ \\ 2 {x}^{2} = 4 \\ \\ {x}^{2} = \frac{4}{2} \\ \\ {x}^{2} = 2 \\ \\ x = \sqrt{2} = 1.414 \\ x = - \sqrt{2} = - 1.414\)

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

To know more about ratio visit:

https://brainly.com/question/13419413

#SPJ11

Answer:

28.2744 Square Inches rounded it 28.2

Step-by-step explanation:

just use pie 3.1416 and times it by the another number

Answer:

When you ask a question and someone answers, you don´t really know if it could be the correct answer or not. You just have to put trust in that person and hope for the best lol

Step-by-step explanation:

Amir’s gas tank had 1L of gas in it. Then he drove to his cousin’s house and back and had 1/3 L left.  Amir used a total of 1/3L gas in each direction

From the question, we have the following parameters that can be used in our computation:

Initial amount = 1L

Remaining amount = 1/3L

The amount of gas he used in each direction is calculated as

Amount used in each direction =(Initial amount - Remaining amount)/2

Substitute the known values in the above equation, so, we have the following representation

Amount used in each direction =(1L - 1/3L)/2

Evaluate

Amount used in each direction =1/3L

Hence, the amount is 1/3L

Read more about equations at

https://brainly.com/question/2476251

#SPJ1

Here is the complete question:

Amir’s gas tank had 1L of gas in it. Then he drove to his cousin’s house and back and had 1/3 L left. How much gas did he use in each direction?

The equation is: 3x^3 = 4x + 8

The form is ax^2 + bx + c = 0

Rewrite the given equation to equal 0:

Subtract 3x^2 from both sides to get:-3x^2 + 4x + 8  = 0

Now give each letter their value:

a = -3, b = 4, c = 8

The value of x is 9. A quadrilateral having four equal, right-angled angles is called a rectangle.

The following formula determines a rectangular prism's volume:

V = l × b × h

To achieve, we substitute the dimensions.

V = 6 × 3 × 12 in^3

The rectangular pyramid's volume is,

V = 1/3 × 6 × 12 × x in^3

Comparing the two volumes results in,

1/3 × 6 ×  12 × x = 6 × 3 × 12

We divide through by 6 × 12 to get,

x/3 = 3

To learn more about rectangular, refer to:

https://brainly.com/question/25292087

#SPJ1

Answer:

$34.24

Step-by-step explanation:

Answer: 34.24

Step-by-step explanation:

To find a particular solution of a nonhomogeneous system of equations in parametric form, we can use the method of undetermined coefficients. First, we express the unknown variables as linear combinations of parameters. Then, we substitute these expressions into the nonhomogeneous equations and solve for the parameters.

     The method of undetermined coefficients is a technique used to find a particular solution of a nonhomogeneous system of equations. We start by expressing the unknown variables as linear combinations of parameters. For example, if we have two variables, x and y, we can write them as x = at + b and y = ct + d, where a, b, c, and d are parameters.

Next, we substitute these expressions into the nonhomogeneous equations of the system. This will result in a system of equations involving the parameters. We then solve this system of equations to determine the values of the parameters.

The number of parameters required depends on the number of equations and variables in the system. If the system has n equations and m variables, we will need m parameters to express the particular solution in parametric form.

By following this method, we can find a particular solution of the nonhomogeneous system of equations in parametric form.

To learn more about nonhomogeneous system click here : brainly.com/question/32068175

#SPJ11

Answer:

y'(-1*2 )= -4

Step-by-step explanation:

y'=2x

y'(-1*2) = 2 ⋅ (-2)

-4

y'(-1*2) = -4

Answer:

  (a) slope: -4

  (b) tangent: y -4 = -4(x +2)

  (c) normal: y -4 = 1/4(x +2)

  (d) graph: see attached

Step-by-step explanation:

You want the slope of the curve, and equations for the tangent and normal lines at x = -2 when y = x².

The slope of the curve is given by the derivative.

  y' = 2x

At x = -2, the slope is

  y' = 2(-2) = -4

The slope of the curve at x=-2 is -4.

The value of y at x=-2 is ...

   y = (-2)² = 4

The point-slope equation of the line with slope -4 through point (-2, 4) is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -4 = -4(x +2) . . . . . . line with slope -4 through point (-2, 4)

The normal has the opposite reciprocal slope at the point of tangency.

  y -4 = 1/4(x +2) . . . . . . . line with slope 1/4 through point (-2, 4)

See the attachment for a graph.

Answer:

105 feet

Step-by-step explanation:

Got it right

Answer:

105

Step-by-step explanation:

correct

Culture lag refers to when nonmaterial culture is struggling to adapt to new conditions.

Culture lag refers to the phenomenon where nonmaterial aspects of culture, such as beliefs, values, and norms, struggle to keep pace with rapid changes in material culture, such as technology and social structures. It occurs when there is a time gap between the introduction of new innovations or social developments and the adjustment of cultural practices and attitudes to accommodate these changes.

In modern society, technological advancements are occurring at an unprecedented rate, leading to significant shifts in the way we live, work, and interact. However, cultural norms and values tend to change more slowly as they are deeply ingrained and often rooted in tradition. This disparity creates a time lag between the material changes and the cultural adaptation required to fully embrace and utilize them.

For example, the rise of social media has revolutionized communication and social interaction, but it has also raised new ethical and behavioral challenges. Cultural norms regarding privacy, authenticity, and the appropriate use of technology may take time to catch up with the rapid proliferation of social media platforms.

Learn more about Culture lag

brainly.com/question/28504127

#SPJ11

To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.

To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().

Here's an example:

string = "'example string'"

stripped_string = string.strip("'")

After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.

To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.

Here's an example:

string_list = list(stripped_string)

string_list.pop(12)

result_string = ''.join(string_list)

After executing this code, the value of result_string will be the modified string with the item at index 12 removed.

Learn more about list() function here:

https://brainly.com/question/33326411

#SPJ11

The mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The mean-square end-to-end distance for the fractal line is as follows.⟨R2⟩ = ⟨(R(u)- R(v))^2⟩ for u = 0 and v = L where L is the length of the line.⟨R2⟩ = b²/L^2.D.L = b².L^(1-D).

Thus, the mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The radius of gyration Rg is defined as follows.

Rg² = (1/N)∑_(i=1)^N▒〖(R(i)-R(mean))〗²where N is the number of monomers in the fractal line and R(i) is the position vector of the ith monomer.

R(mean) is the mean position vector of all monomers.

Since the fractal dimension is D, the number of monomers varies with the length of the line as follows.N ~ L^(D).

Therefore, the radius of gyration for the fractal line is Rg² = (1/L^D)∫_0^L▒〖(b/v^(1-D))^2 v dv〗 = b²/L^2.D(1-D). Thus, Rg² = b².L^(2-D).

The ratio R²/Rg² is given by R²/Rg² = L^(D-2).

When D = 1, R²/Rg² = 1/L. When D = 1.7, R²/Rg² = 1/L^0.7. When D = 2, R²/Rg² = 1/L.

This provides information on mean-square end-to-end distance and radius of gyration for fractal line with a given fractal dimension.

Learn more about mean-square from the given link

https://brainly.com/question/30763770

#SPJ11  

The Israeli-Palestinian conflict is a complex and long-standing dispute between Israelis and Palestinians over land and political rights. It originated from conflicting nationalist aspirations and the establishment of the State of Israel in 1948.

The conflict has resulted in numerous wars, violence, and ongoing tensions in the region. Resolving the conflict requires addressing key issues such as the status of Jerusalem, borders, the right of return for Palestinian refugees, and the establishment of a viable Palestinian state. International efforts, including peace negotiations and diplomatic initiatives, have been made to find a peaceful solution to the conflict.

The Israeli-Palestinian conflict stems from the clash between Jewish and Palestinian nationalist aspirations and the establishment of the State of Israel in 1948. Both Israelis and Palestinians lay claim to the same land, which has led to territorial disputes and competing narratives. The conflict has been characterized by periods of violence, including wars and terrorist attacks, resulting in loss of life and widespread suffering for both sides. The status of Jerusalem, a city considered holy by multiple religions, has been a major point of contention, with both Israelis and Palestinians asserting their rights to control it.

To reach a resolution, key issues need to be addressed. One of the major points of contention is the establishment of borders that are acceptable to both parties. The borders established after the 1948 war, commonly referred to as the Green Line, have been a subject of dispute. Additionally, the issue of the right of return for Palestinian refugees, who were displaced during the establishment of Israel, is crucial for Palestinians seeking justice and recognition. Another critical aspect is the creation of a viable Palestinian state, which would provide self-governance and sovereignty to the Palestinian people.

International efforts to resolve the conflict have been ongoing for decades. These efforts include peace negotiations mediated by third parties, such as the United States, and initiatives by regional and international organizations. The Oslo Accords in the 1990s aimed to establish a framework for peace and the creation of a Palestinian state but encountered challenges and setbacks. The conflict remains a highly complex and deeply rooted issue, requiring continued diplomatic efforts and political will from all parties involved to achieve a lasting resolution and a just and peaceful coexistence between Israelis and Palestinians.

Learn more about Complex:

brainly.com/question/30612470

#SPJ11

Answer:

Step-by-step explanation:

(x/13) cm

Answer: x/13 = y.

Step-by-step explanation: Let x represent the total length of the timber. Then, 13 will represent the number of pieces it will be divided into. Finally, y represents the length of each individual size.

The side length of the original square is 3.

Let s = side length of the original square

s + 3 = side length of the new square

Area of a square = s²

A = s²

A = (s+3)²

A = s² + 6s + 9

Area multiplied by 4 = 4 × s²

So,

s² + 6s + 9 = 4s²

4s² - s² - 6s - 9 = 0

3s² - 6s - 9 = 0

s² - 2s - 3 = 0

a = 1

b = -2

c = -3

s = -b ± √b² - 4ac / 2a

= -(-2) ± √(-2)² - 4(1)(-3) / 2(1)

= 2 ± √4+12/2

= 2± √16/2

= 2 ± 4/2

= 2+4/2 or 2-4/2

= 6/2 or -2/2

= 3 or -1

side length can not be negative

Therefore, s = 3

A = s²

A = (3)²

= 9

A = (s+3)²

= (3+3)²

= 36

Hence the side length of the original square is 3.

Learn more about Squares here:

brainly.com/question/25092270

#SPJ4

The probability that no students in a survey of five students will be in favor of opening a pub is approximately 0.32768 or 32.768%.

To calculate the probability that no students in a survey of five students will be in favor of opening a pub, we can use the binomial probability formula.

The probability of a single student being in favor of opening a pub is 0.20, and the probability of a single student not being in favor is 1 - 0.20 = 0.80.

Using the binomial probability formula, the probability of having no students in favor can be calculated as:

P(X = 0) = (0.80)^5

P(X = 0) = 0.32768

Know more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

work is shown and pictured

Answer:

x = 109°

The angle at the bottom right corner = 71°

Step-by-step explanation:

Answer:

Step-by-step explanation:

See image

Answer:

m = 7

Step-by-step explanation:

6 + 6 + 7 = 19.

You're welcome.

Answer:

false

Step-by-step explanation:

1+2, 1/3+1/4, 2^3 * 2^2

(x+1)(x+2) (Simplify Example), 2x^2+2y a x=5, y=3 (Evaluate Example)

y=x^2+1 (Graph Example), 4x+2=2(x+6) (Solve Example)

There are 12 kids live on Robinson Street.

Since, We have to given that;

After school, all of the kids who live on Robinson Street play baseball for 3 hours.

And, Everyone gets to play catcher for 1/4 of an hour.

Let number of kids = x

Hence, We get;

x × 1/4 = 3

⇒ x = 12

Thus, There are 12 kids live on Robinson Street.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1

Answer:

y = ax + b

x = 0 , y = 3 → 3 = a(0) + b → b = 3

x = 1 , y = 5 → 5 = a(1) + 3 → a = 2

y = 2x + 3

Option 2 is correct.

Answer:

5x +1

Step-by-step explanation:

3x-6+4x + 7 -2x

(3x - 2x + 4x) + 7 - 6

5x +1

5(2) + 1

10 + 1

11

3(2) - 6 + 4(2) + 7 - 2(2)

6 - 6 + 8 + 7 - 4

0 + 8 + 7 -4

8 + 7 - 4

15 -4

11

Hope this helps!!! (My own work pls don't steal)
if possible can you mark me brainliest? Thanks!

When an object receives an applied net force, the velocity versus time graph will show a change in velocity over time. Therefore, the velocity versus time graph is a useful tool for analyzing the effects of net force on an object's motion.

When an object receives an applied net force, its velocity versus time graph will show the following characteristics:

1. A non-zero slope: The slope of the velocity vs. time graph represents the acceleration of the object. Since a net force is applied, the object will experience acceleration, and the graph will have a non-zero slope.

2. Linear relationship: If the net force applied is constant, the acceleration will also be constant. This results in a linear relationship between velocity and time on the graph. The slope of the graph will indicate the acceleration of the object, which is directly proportional to the net force applied. As the net force increases, the acceleration and slope of the graph will also increase.

3. Positive or negative slope: The direction of the slope depends on the direction of the applied force. If the net force is in the same direction as the object's initial velocity, the slope will be positive, indicating an increase in velocity. If the force is in the opposite direction, the slope will be negative, indicating a decrease in velocity.

In summary, the velocity vs. time graph of an object receiving an applied net force will have a linear relationship with a non-zero slope, which can be either positive or negative depending on the direction of the force.

Learn more about Graph:

brainly.com/question/17267403

#SPJ11

Answer:

for more math help use the app called connects