10 points please help me I've been struggling with these

10 Points Please Help Me I've Been Struggling With These

Answers

Answer 1

Answer:

57pi

Step-by-step explanation:

First, let's get the area of the entire circle, including the shaded region:

pi*(8+3)^2 = 121pi

Next, let's get the area of the unshaded circle

pi*8^2 = 64pi

If we subtract the inner circle from the full circle, we get the shaded region:

121pi-64pi =

57pi

Answer 2

Answer: 57π

Step-by-step explanation:

You have to calculate the area of the whole circle created by the sum of the inner circle and the ring, so 8+2=11=r, now use the formua for getting area of a circle, π*r², which is "121π"

After that, subtract the area of the inner circle (its area is π*8²)

So 121π-64π = 57π


Related Questions

The cost in collars, CCC, from an airplane flight given that the average cost of a first class seat is fff dollars and the average cost of an economy seat is eee dollars is given by the equation above if all seats are sold. What is the best interpretation of 88e88e88, e as shown in the above equation

Answers

88e interprets the total cost for all the economy class seats, as all seats are sold, where 88 is the number of economy class seats and e dollars is the cost of each economy class seat.

In the question, we are given an equation, C = 24f + 88e, and are informed that the cost, C, in dollars from an airplane flight given that the average cost of a first class seat is f dollars and the average cost of an economy seat is e dollars is given by the equation above if all seats are sold.

We are asked for the interpretation about the 88e as shown in the equation.

The equation given to us is a cost equation.

A cost equation comprises of two parts:

Per unit priceNumber of units.

In the given equation, we have two types of quantities:

First class seatsEconomy seats

Thus, both these quantities must be having a per unit price, multiplied by the number of units sold.

Now, we are informed that e dollars is the per unit price for an economy class seat.

Thus, 88e interprets the total cost for all the economy class seats, as all seats are sold, where 88 is the number of economy class seats and e dollars is the cost of each economy class seat.

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For complete question, refer to the attachment.

if the coordinate of p and t are -6 and 4 respectively, what it the length of segment pt?

Answers

The length of the segment [tex]pt[/tex]is [tex]10[/tex] if the coordinates of [tex]p[/tex] and [tex]t[/tex] is [tex](-6 )and( 4)[/tex]

How can find the length of the segment ?

The coordinate of [tex]p=-6[/tex]

The coordinate of [tex]t=4[/tex]

We can assume only [tex]x[/tex] coordinates given and [tex]y[/tex] coordinates is [tex]0[/tex]

so coordinate of [tex]p=(-6,0)\\[/tex]

And coordinate of [tex]t=(4,0)[/tex]

So the length of the segment

[tex]pt=x_{2} -x_{1} \\pt=4-(-6)\\pt=4+6\\pt=10[/tex]

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what is the probability that random permutation of n numbers gets sorted after 1 pass of bubble sort

Answers

It means the probability of a random permutation of n numbers gets sorted after 1 pass of bubble sort is n!

According to the statement

we have to find the probability of random permutation of the N numbers.

So, according to the definition of A random permutation is a random ordering of a set of objects, that is, a permutation-valued random variable.

In this we order of select the objects randomly.

So, Let There are n−1 comparisons, so 2n−1 possible sequences of actions - swap or don't swap.

To find the permutations, start with 1,2,3,4,5 and undo a sequence.

For example, if let n=5, there are 24=16 out of 5!

which is 5! =120 that end after one round of bubble sort.

So, It means the probability of a random permutation of n numbers gets sorted after 1 pass of bubble sort is n!

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PLEASE HELP HURRY!!!!!
Jerry makes coffee tables to sell in a furniture shop. The length of each table is n+8 and the width is 1/2n - 4 inches. If n=42, what are the measurements of the length and width of each coffee table?

Answers

Answer:

Length= 50

Width=17

Step-by-step explanation:

length= n+8

Since n= 42, Just plug it in. So it would be 42+8 which is 50 for the length

Widith: 1/2n-4

basically since N is given for 42, you do 1/2 multipied by 42 which is 21.

Since you also have to subtract 4 inches it would be 17 for the length

Mamadou drove 168 miles in 8 hours. If he continued at the same rate, how long
would it take to travel 126 miles?

Answers

With the given rate Mamadou will take 6 hours to travel 126 miles.

What is Unitary method ?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The distance travelled in 8 hours is 168 miles.

In order to calculate time for 126 miles, unitary method can be used as,

The time for 168 miles is 8 hours.

Then, the time for 1 mile is 8/168 hours.

Thus, the time for 126 mile is 8/168 × 126 = 6 hours.

Hence, the time taken by Mamadou to travel 126 miles is 6 hours.

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The two dot plots below compare the forearm lengths of two groups of schoolchildren: Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group X and the title for the bottom plot is Forearm Length, Group Y. Below the line for each dot plot is written Length in inches. There are markings from 10 to 13 on each line at intervals of one. For the top line there are 4 dots above the first mark, 4 dots above the second mark, and 2 dots above the third mark. For the bottom line there are 2 dots above the second mark, 2 dots above the third mark, and 6 dots above the fourth mark. Based on the visual inspection of the dot plots, which group appears to have the longer average forearm length? Group X, because no child in the group has a forearm length longer than 12 inches. Group X, because four children in the group have the least forearm length of 10 inches. Group Y, because a child in the group has the least forearm length of 10 inches. Group Y, because six children have a forearm length longer than 12 inches.

Answers

The group that have the longer average forearm length is group Y, because six children have a forearm length longer than 12 inches.

Which group has a longer forearm length?

A dot plot is a graph that shows the frequency of a number using dots. The greater the number of dots above a number, the greater its frequency.

In group X, the highest arm length is 12 while in group Y, it is 13. This means that group Y would have longer arm lengths.

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Does this graph show a function?

Answers

Answer:

I think that is is C

Step-by-step explanation:

The Vertical Line Test determines whether or not a curve on the graph is a function. This one passes the vertical line test because no vertical line can intersect the curve more than once. I hope that helps!

What is the domain of the quadratic function graphed below?

Answers

The domain of the graph is the set of all real values

How to determine the domain?

The domain is the set of x values of the graph

From the graph, the x values extend in both directions without end

This means that the x values can accommodate all real values

Hence, the domain of the graph is the set of all real values

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If you had worked on an externship in a prosecutor’s office, and then you moved to another state, which of these legal support positions would be best suited for?

Answers

Haven worked on an externship in a prosecutor’s office, the legal support position which you would be best suited for is: paralegal.

What is paralegal?

Paralegal can be defined as a person who has been trained in subsidiary legal matters (issues), but not fully qualified to act as an attorney or lawyer.

In this context, we can infer and logically deduce that paralegal is a legal support position which you would be best suited for a person who has worked on an externship in a prosecutor’s office.

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Complete Question:

If you had worked on an externship in a prosecutor’s office, and then you moved to another state, which of these legal support positions would be best suited for?

mediator

paralegal

legal secretary

court reporter

A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude of Hong Kong is 22.27°, and its longitude is 114.15°. What is the helicopter’s net change in latitude and longitude as it travels from Hong Kong to Jakarta?

Answers

The net Change in latitude and longitude of the helicopter are; 28.47 and 7.35 respectively.

What is the net Change in latitude and longitude of the helicopter?

The net change in latitude of the helicopter can be evaluated as follows;

x = |-6.20° - 22.27°| = |-28.47°|

x = 28.47°

The net change in longitude of the helicopter can be evaluated similarly as follows;

y = |106.80° - 114.15°| = |-7.35°|

x= 7.35°

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Nozomi works as a waiter and earns $16/h. She also receives 8% of the gratuities earned by all the staff. In one week, she worked 20 hours and the gratuities totalled $1,267.28. What was Nozomi’s gross pay?

Answers

Her gross pay is $421.38

What was Nozomi’s gross pay?

First, we know that she gets $16 per hour, and she worked 20 hours, then she gets:

20*$16 = $320

Now we also know that she receives a percentage of 8% of the gratuities, and the gratuities totaled $1,267.28

The 8% of $1,267.28 is:

$1,267.28*(8%/100%) = $1,267.28*0.08 = $101.38

Her gross pay is:

P = $101.38 + $320 = $421.38

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The standard deviation of the sampling distribution of the sample mean is also called?

Answers

The standard deviation of the sampling distribution of the sample mean is also called standard error of the mean.

For the given question,

Standard error is a mathematical tool used in statistics to measure variability. The standard error of the mean (SEM) measures how much discrepancy is likely in a sample's mean compared with the population mean.The SEM takes the SD and divides it by the square root of the sample size. The SEM will always be smaller than the SD.

The standard error of the mean indicates how different the population mean is likely to be from a sample mean. You can decrease the standard error by increasing the sample size.

Standard error of the mean and standard deviation are both measures of variability used to summarize sets of data.  It helps you estimate how well your sample data represents the whole population by measuring the accuracy with which the sample data represents a population using standard deviation.

Hence we can conclude that the standard deviation of the sampling distribution of the sample mean is also called standard error of the mean.

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WILL MAKE BRAINLIEST!!! Find the correct angle measure for angle b in each figure.

_1. 52°

_2. 27°

_3. 32°

_4. 98°

Answers

Answer:

98, 27

Step-by-step explanation:

In the first figure, the two angles are supplementary, meaning that their sum would equal 180 degrees, giving the equation: b+82 = 180 --> b=98

In the second figure, the two angles are complementary, meaning that they add up to 90 degrees, giving the equation: b+63 = 90 --> b=27

Jeremy rides a Ferris wheel. The graph shows h, Jeremy’s height above the ground at any time during the ride.


Which inequality represents the heights shown on the graph?

Answers

The inequality that represents the height that is displayed by the graph is: 10 ≤ h ≥ 50.

How to Identify the Inequality of a Graph?

In an inequality graph, we the small circle at any end is shaded or full, the inequality sign used is either "less than or equal to" or "greater than or equal to" ("≤" or "≥"). If the circle is empty or not shaded, we use "less than" or "greater than" ("<" or ">").

In the graph showing Jeremy’s height above the ground at any time during the ride, we have a full circle (shaded) starting from 10, and another on the right at 50.

This implies that the range of height is from 10 to 50. Since the circle is full (shaded), then we would use "less than or equal to" and "greater than or equal to" ("≤" and "≥") in writing the inequality that represents the height.

Thus, where h is the height, the inequality would be: 10 ≤ h ≥ 50.

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I need helppppp for this question

Answers

Answer:

too small

Step-by-step explanation:

Find the distance between the two points.
(-1,1)
(4,-3)
✓ [?]
Enter the number that
goes beneath the
radical symbol.

Answers

Answer: square root (41)
by using the formula
square root [(x2 - x1)^2 + (y2 - y1)^2]

A bookmark has an area of 18 cm the perimeter is 22 cm what are the dimensions of the bookmark

Answers

Answer:369

Step-by-step explanation:

all you have to do is multiply 18 and 22 its easy

18 x 22 = 369.

Give the perimeter and the area of a square with sides that measure 9 cm.

Answers

Answer:

Perimeter = 36

Area = 81

Step-by-step explanation:

Perimeter of a square is side length * 4.

9*4 = 36

Area of a square is L*L,

9*9 = 81

A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. The napkin has a perimeter of 38 centimeters.

Answers

The area of the plate covered by the napkin is (C) [tex]56cm^{2}[/tex].

What is an area of a triangle?

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h. As a result, in order to calculate the area of a triangular polygon, we must first determine its base (b) and height (h).

To find the area of the plate covered by the napkin:

Given :

A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate.The napkin has a perimeter of 38 centimeters.

The following steps can be used in order to determine the area of the plate covered by the napkin:

Step 1 - The formula of the perimeter of a triangle is given below:

P = a + b + c   --- (1)

where a, b, and c are the length of the sides of the triangle.

Step 2 - According to the given data, the triangle is isosceles.

Therefore, the two sides are similar and the length of the base is 8 cm.

Step 3 - Now, substitute the values of the known terms in the above formula.

38 = 2L + 8

38 - 8 = 2L

L = 15 cm

Step 4 - The area of the plate covered by the napkin is given below:

[tex]A=\frac{1}{2} * 15 * 15 *Sin30[/tex]

Step 5 - Simplify the above expression.

[tex]A=56.25cm^{2}[/tex]

Rounding off to the nearest whole number, which is [tex]56cm^{2}[/tex].

Therefore, the area of the plate covered by the napkin is (C) [tex]56cm^{2}[/tex].

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The question you are looking for is here:

A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. The napkin has a perimeter of 38 centimeters. To the nearest square centimeter, how many square centimeters of the plate is covered by the napkin?

(A) 16 square centimeters

(B) 30 square centimeters

(C) 56 square centimeters

(D) 60 square centimeters

lines L, R, and S are coplanar. Suppose L is perpendicular to R and R is perpendicular to S. Is L perpendicular to S? Explain.

Answers

Answer:

No, L and S are parallel.

Step-by-step explanation:

Perpendicular lines go directly opposite from each other, making a + looking arrangement. While parallel lines go in the exact same direction, making a = looking arrangement. The only way both S and L can both be perpendicular to R is if they are both parallel to each other. An illustration by yours truly is placed below to represent it visually.

                    L                                              |

_______________________________|_____

                                                                    |

                                                                    |

                                                                    |   R

                                                                    |

_______________________________|_____

                     S                                             |  

                                                                    |

Now, if this were on the outside of a sphere, then it would be totally possible to have three lines all be parallel, because they can curve with the sides of the sphere and create a triangle with all right angles.

Find the equivalent expression of 20a + 28b.

Answers

Answer:

4 (5a + 7b)

Don't worry I helped my brother with this.

Which of the sets of ordered pairs represents a function?

A = {(−5, 5), (−2, 2), (2, −2), (5, −5)}

B = {(4, 2), (3, −2), (9, 4), (11, −3)}

Only A
Only B
Both A and B
Neither A nor B

Answers

Answer:

Both A and B

Step-by-step explanation:

A set of ordered pairs is not a function if there is a repeating output (Y value.)

Y values of A= 5, 2, -2, -5.

Y values of B= 2, -2, 4, -3.

There are no repeating outputs.

URGENT ASAP Please answer the option b

Answers

The solution to the system of inequalities x < 2y + 3 and -2x < y + 1 is the darker region shown in the graph.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Inequality is an expression that shows the non equal comparison of two or more numbers and variables.

The solution to the system of inequalities x < 2y + 3 and -2x < y + 1 is the darker region shown in the graph.

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The system of inequalities x > 2 · y + 3 and - 2 · x < y + 1 includes the point (x, y) = (10, 0).

How to change signs of the inequalities to contain a given point.

The solution area of the two inequalities given in the statement does not contain the point (x, y) = (10, 0) as we can see in the first figure.

But if we change the sign "<" for ">" in the first inequality, then the solution area includes the point mentioned above. Please see the second figure for further details.

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2. Un auto viaja a 60 km/h y se detiene a los 2 segundos. qué distancia recorrió en el
frenado? ¿qué aceleración adquirió? ¿Si la aceleración es positiva o negativa, explica
por qué?

Answers

Se calcula que la aceleración es - 8,35 m/s.

¿Qué es la aceleración?

Ahora sabemos lo siguiente de la pregunta;

Velocidad inicial (u) = 60 km/h o 16,7 m/s

Tiempo empleado (t) = 2 s

Dado que;

v = tu + en

v = 0 m/s porque el carro se detenía

tu = -en

a = -(u/t)

 a= -1(6,7 m/s/2 s)

a =- 8,35 m/s

La aceleración es negativa porque la velocidad disminuye con el tiempo.

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Solve the equation algebraically. Calculus section 1.5 of textbook
2^x + 2^-x = 5

Answers

The value of x from the given expression is [tex]\frac{5+\sqrt{29}}{2log2} \\[/tex]

Solving quadratic expression

Given the algebraic expression below;

2^x + 2^-x = 5

This can also be expressed as:

1/2^x+ 1/2^x = 5

Let P = 2^x, such that;

P + 1/P = 5

P²-1/P = 5

P²-1 = 5P

P²-5P-1=0

On factrorizing, then;

P = [tex]\frac{5+\sqrt{29}}{2} \\[/tex]

Since 2^x = P, then;

[tex]2^x=\frac{5+\sqrt{29}}{2} \\\\xlog2=\frac{5+\sqrt{29}}{2} \\\\x=\frac{5+\sqrt{29}}{2log2} \\[/tex]

Hence the value of x from the given expression is [tex]\frac{5+\sqrt{29}}{2log2} \\[/tex]

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8. For circle A, the circumference is 31.4 ft. What is the area? Use 3.14 for pi

314 ft²

15.7ft²

78.5 ft²

9.9 ft²

Answers

Answer:

[tex]\huge\boxed{\sf A = 78.5\ ft\²}[/tex]

Step-by-step explanation:

Circumference = C = 31.4 ft

We know that,

C = 2πr

Where, r is the radius

31.4 = 2(3.14)r

31.4 = 6.28(r)

Divide 6.28 to both sides

31.4/6.28 = r

5 ft. = r

r = 5 ft.

Now,

Finding area:

A = πr²

A = (3.14)(5)²

A = (3.14)(25)

A = 78.5 ft²

[tex]\rule[225]{225}{2}[/tex]

To solve this problem, you need to find a radius... Circumference=2(3.14)(r)

2(3.14)=6.28

31.4/6.28=5=radius

A=(3.14)(r^2)

A=(3.14)(5^2)=78.5

Area= 78.5 ft^2

What are the coordinates of the midpoint of the segment whose endpoints are C(−7, −10) and D(3, 9) ?


(−2, −0.5)


(−4, −1)


(−5, −9.5)


(−8.5, 3)

Answers

Answer:

(-2, -0.5)

Step-by-step explanation:

1. add the x-coordinates and then either divide by 2 or multiply by 1/2

2. add the y-coordinates and then either divide by 2 or multiply by 1/2

(-7+3)/2 = -2

(-10+9)/2 = -0.5

Have a blessed day!

Each edge of a graph is colored with one of the four colors red, blue, yellow, or green. How could you represent the edges in this graph using a variation of the adjacency matrix structure

Answers

G is the matrix representation of the four colored graph.

According to the statement

we have given that a graph is colored with one of the four colors red, blue, yellow, or green.

And we have to represent the edges of this graph using a variation of the adjacency matrix structure

So, Adjacency Matrix Structure is a way of representing a graph as a matrix of booleans (0's and 1's). A finite graph can be represented in the form of a square matrix on a computer, where the boolean value of the matrix indicates if there is a direct path between two vertices.

And in this graph representation the Adjacency Matrix Structure denoted by a matrix G.

so, there are a four colors used that's why there are 4 into 4 matrix is formed to represent the edges.

G =  [tex]\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right][/tex]

And this is the matrix representation of the graph which is colored with four graphs.

So, G is the matrix representation of the four colored graph.

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A music website claims the mean length of their songs is 3.75 minutes. Suppose the length of songs from this website follows a Normal distribution with standard deviation 0.5 minutes. If 7 songs from this website are randomly selected, then there is about a 90% probability that the sample mean will fall in which interval

Answers

The confidence interval is from 3.44 to 4.06 minutes.

According to the statement

we have given that the mean length of songs is 3.75 minutes and standard deviation 0.5 minutes and the sample size n is 7. and the confidence interval is 90%

and we have to find the mean interval.

So, We know that the

A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.

And A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample.

We know that the z value for 90% confidence interval is 1.64.

so, The formula to calculate margin of error is

MOE = Z*standard deviation/ (n)^1/2

put the values in it

MOE = Z*standard deviation/ (n)^1/2

MOE = 1.64*0.5/ (7)^1/2

MOE = 1.64*0.189

MOE = 0.310

And to find the interval the formula is

Confidence interval = sample mean ± margin of error

Confidence interval = 3.75 ± 0.310

Confidence interval = (4.06,3.44)

So, The confidence interval is from 3.44 to 4.06 minutes.

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At which angle is sin theta=1

Answers

Answer: pi/2; aka 90degrees

Answer:

second option : π/2 or pi/2

Step-by-step explanation:

sinθ = 1 = 90


π = 180

π/2 = 90

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He is itchy and uncomfortable. Murphy suffers from __________________.13. Gary suffers from severe itching that has resulted in pink patches on his elbows, soles of his feet, arms, etc. He suffers from _____________________ a condition characterized by itching.14. The Latin word for severe itching is ______________________. Tanya flew 2,299 miles the first year on the job. She flew 3,831 miles the second year. Tanya flew 1,510 more miles the third year than the first and second years combined. How many miles did Tanya fly the third year?Please help me!! Nerve impulses are electrical signals produced by which structure? A. lipid sheath of Schwann cell. B. plasma membrane of neuron. C. synapse How many pounds make a gallon? the hollow conducting sphere shown has a total positive charge q on its surface. no othercharges are present. how do the electric potentials compare at points 1, 2, and 3? what is the most striking difference between a physician's approach to a sick patient and a medical anthropologist's perspective? Can someone help me please Effective leaders perform both management and leadership work. Does ethical decision making get lost in the complexity of work?Reading to question response: The Management MindsetThe management mindset is a rational response to time stress. There are only twenty-four hours in a day and everything we chose to do, including our work, play, family obligations, social engagements, and spiritual development or reflection must fit into that fixed container. But what does the time stress do to create the management mindset through which we see our organizational landscapes as stages for performance, and concomitantly how does this stage impact behavior?Lengel and Larsen (2010) drew on Ray Bradburys science fiction classic Fahrenheit 451 to shed light on the impact of time stress. Bradbury envisioned a future world in which individual uniqueness was subordinated to a common governmental vision. Translating to our context, this was a future in which personal value systems would be subordinated to a collective value system. His underlying thesis was that by killing their spirit to lead, people could effectively be controlled. The desire to control is a central feature of the management mindset that we will address later. For now the interesting inference from Bradburys work is that this control can be accomplished by simply keeping people busy and denying them access to a time and place to just talk. His metaphor for this time and place was the front porch (Bradbury p. 56). Without front porches and under time pressure, people would behave in ways that might not be in their best personal or collective interests.Certainly the pace of change facing businesses today and the drive to do more with less is keeping people busy. The forty hour work week is a distant memory for most organizational leaders. In a real sense, business is busyness, so half of Bradburys formula for control is clearly in place. But what about the front porches? Lengel and Larsen (2010) visualized front porches as bridges linking individuals to their shared community or commons. Front porches represent a time and place where private interests could be weighed against public interests in a relaxed atmosphere where formal relationships and the stress of busyness were absent. On front porches, people could just sit down together on rocking chairs and offer an open invitation for neighbors passing by to join in conversation without agenda or purpose beyond just being togetherjust talking. Front porches provide a stage for individuals to explore their uniqueness and remember their roots and responsibilities, and their obligations to the greater community. This is the context for deep ethical/moral inquiry and self reflection that handicaps the tension between collective intentions and individual values and ethics. It is also the context for sourcing courage in leadership. In this way these porches are stages for Quadrant 4 exploration.What do front porches and the spirit to lead have to do with teaching ethics and developing ethical people? Organizations have both static and dynamic qualities (Lengel and Larsen 2010). The static qualities represent the objective reference frame that is created to facilitate communication and organizational learning. The dynamic qualities have been traditionally referred to as the emergent informal organization. Management work focuses on control and maintenance of the static qualities of organizations while leadership work is typically focused on the emergent dynamic embracing learning and innovation. The management mindset views that static organization as reality and the dynamic as an anomaly to be dampened or controlled. In contrast the leadership mindset views the dynamic organization as the natural state and the static as the anomaly. Effective leaders perform both management and leadership work. But busyness eliminates front porches, and it is on front porches that leadership work is performed. Therefore, the management mindset tends to dominate organizational life. when preparing a flexible budget, the level of activity blank______. ( Wildcat , Red Alert , Daniel R. Question ) what is indigenous realism ? Please give a page reference & thoughtfully explain your answer an individual with ____ well-being holds a positive self-evaluation that is based on positive life experiences. select one: a. dysphoric b. indeterminate c. subjective d. inverse give reason for:The distance between the Moon and the Earth varies during the Moon's rotation around the Earth. if the rpms on the first gear is 1500 rpms and our gear reduction is 5, what is the output rotation in rpm2 for gear 2? Alicia wants to model allopatric speciation for her science project. She has a population of ants to use as her model. What should she do to the ant population?. rigid adherence to attaining a given scale weight or body composition is never recommendedT/F how does productivity increase in aquatic ecosystems determine whether each sequence is convergent or divergent 20,18,148 3. how might an rna-based genome result in an increased infection rate compared to that of a dna virus? what are some potential complications to this infection strategy? A soap bubble with walls 378 nm thick floats in air. If this bubble is illuminated perpendicularly with sunlight, what wavelength of visible light will be absent in the reflected light? Assume that the index of refraction of the soap film is 1.33. What color will be absent in the reflected light? red orange yellow green blue violet