A pentagon $abcde$ is translated north by 40 units to pentagon $a_1 b_1 c_1 d_1 e_1. $ pentagon $a_1 b_1 c_1 d_1 e_1$ is then translated east by 50 units to pentagon $a_2 b_2 c_2 d_2 e_2. $ we know the perimeter of pentagon $abcde$ is 30 units. Find $cc_2. $

Answers

Answer 1

Answer:

64.03

Explanation:

Since the pentagon is translated 40 units north and 50 units east, we can look at c, c1 and c2 as a right triangle.
cc1 = 40

c1c2 = 50

By pythagoras theorem,

cc2² = cc1² + c1c2²

⇒ cc2 = √cc1² + c1c2²

cc2 =

[tex]\sqrt{40^{2} + 50^{2} } \\\\\sqrt{1600 + 2500} = \sqrt{4100} \\\\= 64.03[/tex]

A Pentagon $abcde$ Is Translated North By 40 Units To Pentagon $a_1 B_1 C_1 D_1 E_1. $ Pentagon $a_1
Answer 2

Given:A pentagon ABCDE is translated north by 40 units to pentagon A1B1C1D1E1. Pentagon A1B1C1D1E1 is then translated east by 50 units to pentagon A2B2C2D2E2. We know the perimeter of pentagon ABCDE is 30 units.

To find:[tex]$CC_2$[/tex]Solution:The diagram is shown below:In the above diagram, the given information is shown. Let the length of [tex]$AE$ be $x$[/tex].As we know that perimeter of pentagon $ABCDE$ is 30 units, so we can say that:AB + BC + CD + DE + EA = 30Since, Pentagon ABCDE is translated north by 40 units to pentagon [tex]$A_1B_1C_1D_1E_1$.So, $A_1B_1$ = AB = $x$[/tex]

We know that [tex]$B_2C_2 = x$ and $B_2B = EA = x$. Therefore,$(C_2C)^2 = (x)^2 + (x)^2$$(C_2C)^2 = 2x^2$C2C = $\sqrt{2}x$Therefore, CC2 = C1C + C2C = 50 + C2C = 50 + $\sqrt{2}x$[/tex]So, the value of [tex]$CC_2$ is $50 + \sqrt{2}x$.[/tex]

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Related Questions

Can you tell the time or directions by just obvsering the sky how

Answers

Answer:The sun always rises in the east and sets in the west, therefore you can tell what time it is by looking at the suns location in the sky.When you look east and the sun is on the horizon it means that the time is approximately 6:00am.

Explanation:

follow my Tictoc its localmiray trying to get to 10k and follow my friend .._perfect._isla

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Answer:

is it fine if i do it after school ?

Explanation:

Ok does the username have to have the periods too?

What is meant by “Business would pick up then” in paragraph 2?

Answers

Without the specific context or paragraph mentioned, it is challenging to provide an accurate analysis of the phrase "Business would pick up then." However, in a general sense, the phrase implies an expectation or prediction that the business will improve or become more active in the future.

The phrase "Business would pick up then" suggests that there is a belief or anticipation that certain conditions or circumstances will change, leading to an increase in business activity. It could imply that the current situation or factors are hindering business growth or profitability, but there is an optimistic outlook for the future.

The phrase might be used in various contexts. For example, it could refer to a slow period for a particular industry or company, where the expectation is that economic conditions, market demand, or other factors will improve, leading to an upturn in business activity.

However, without the specific paragraph or context in which the phrase is used, it is important to consider the surrounding information to accurately interpret its meaning. The phrase can have different connotations depending on the overall context and the specific industry or situation being referred to.

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Click here to read the passage for this question. The passage will open on a second screen. Arrange the screens so you can see both at the same time.

Which statement best summarizes the stance of Scientist 1?

GMOs carry risks, but the risks are worth it.
GMO crops should only be used to feed animals.
GMOs can be used to solve many of the world’s food problems.
Most GMOs are used for crops grown for animals.

Answers

Last one,
Most GMOS are used for crops grown for animals
Hope this helps!

in-depth explanation on how an APS score could affect learners application for a bachelor degree at any higher education​

Answers

Answer:

The purpose of APS, or the Admission Point Score is to determine which student is eligible to become part of a certain college or university, and which are not.

Explanation:

The purpose of APS, or the Admission Point Score is to determine which student is eligible to become part of a certain college or university, and which are not.

Admission Point Score:

The Admission Point Score (APS) is a number used by colleges to assess if you, the applicant, are eligible for their programs. Your final Matric results can be used to compute your APS. Keep in mind that every university determines the number of APS points required to pursue a certain certification.

Find out more information about 'Admission Point Score'.

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Determine the value of the missing interior angle.
Question 12 options:

A)

56°

B)

59°

C)

90°

D)

61°

Answers

The top of the triangle is 90°

The bottom left is 45°

and the bottom right is 45°

Questions about the content of your notes belong in the “Content” section of your organizer.


Please select the best answer from the choices provided

T-true
F-false

Answers

False, I use the content section of my organiser to put pieces of paper or worksheets that relate to the topic I’d write the questions in the margin of your notes so when you’re revising a subject you can think about the question! Hope this helped ☺️

Answer: False!

Explanation: On Edge!!!!!!!

Please try to answer this

Answers

Answer:

this is hard for me to explain but i thinkg its august 12

Explanation:

the world health organzation has the goals of which of the following for global health

Answers

Explanation:

WHO works worldwide to promote health, keep the world safe, and serve the vulnerable. Our goal is to ensure that a billion more people have universal health coverage, to protect a billion more people from health emergencies, and provide a further billion people with better health and well-being.

Determine the value of x in the figure.
Question 15 options:
ASAPPPPPP
!% POINTTT

A)

x = 35

B)

x = 40

C)

x = 140

D)

x = 70

Answers

i think it is option D. 70°

Answer:

I think The answer is x = 70 D

Determine the value of x in the figure.
Question 11 options:

A)

x = 40

B)

x = 135

C)

x = 90

D)

x = 45

Answers

Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.



So your answer is 45

x is 45

the angle right above 135 is the same as x, and the angle above 135 is 45

Please help me with this question I need help.

Answers

Answer:

B to the power of 34 to 65.2

Explanation:

Escribe en los siguientes cuadros los conceptos que correspondan

Answers

Answer: in English that translates to,

"in the following tables the concepts that correspond"

Explanation:

The table of accounts as well as their corresponding concepts are attached in the document below.

What are the concepts?

Banks are places where people keep their money, deposit money, and borrow money.

Cash refers to the money that people have in their bank accounts. Involves money coming in and going out.

A cooperative loan is when money is sent to a person who is part of a cooperative. Fees are created for borrowing money.

Accounts receivable is the total amount of money that customers owe a business after purchasing goods or services using credit.

Rental expense is the money the business needs to pay each month to rent something.

Notes receivable are the papers, debts, and promissory notes that customers who have borrowed money must pay back.

Accounts payable are things we owe money for, like when we get a bill for services or goods we've received.

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See full question below

Write the corresponding concepts in the following boxes and put them accordingly

concepts:

banks

cash

cooperative loan

accounts receivable

rental expense

notes receivable

accounts payable

advertising expense

mortgage payable

Interest paid

social capital

sales

can i have grade 11 2021 term 1 accounting questions paper​

Answers

Answer:

they have not issued them out

hey can you please help me for research about dogs??????????????

Answers

Answer:

ofc

Research:

This website has perfect answers on anything you need to know abt dogs ^^

https://studymoose.com/dog

A mining company’s reclamation plan is not permitted because there is no evidence that funding has been secured to repurpose the land in the manner proposed. What issue related to land reclamation is this an example of?


A. Cost issue

B. Conflict of interest issue

C. Standards an measurements issue

D. Quality assurance issue

Answers

Answer: A. Cost issue

Determine the value of x in the figure.
ASAAAAAAAAAAAPPPPPPPPPPPPPPP
Question 14 options:

A)

x = 65

B)

x = 60

C)

x = 50

D)

x = 130

Answers

It would be Option A. x=65°

Answer:

x= 65°

Explanation:

2 sides are equal so the angles opposite to them are equal

it is isoceles triangle

total angle of triangle is 180°

50° + x° + x° = 180°

50° + 2x = 180°

2x= 180°- 50°

x= 130°/2

x= 65°

who wants point answer anything you like​

Answers

Answer:

Alright thanks buddy, you're a real one

Answer:

follow me on sound cloud pls i make terrible dubstep

sound cloud.c‏‏‎ ‎om/si sket

Explanation:

remove spaces in li.nk

5. What is the difference between a democratic leader and a free rein leader?

Answers

Answer:

Explanation:

Democratic leadership is a style in which managers work with employees to make decisions. Free-rein leadership requires the leader to set goals for managers and employees and then leave them alone to get the job done. Depending on the circumstances, a leader might use different styles.

Hope this helped!!!

Democratic Leadership Style: Believes in communication and participation of subordinates in decision-making. These types of leaders believe in sharing ideas with their subordinates. iii. Free-rein Leadership Style – It includes those leaders who do not use the power.

Democratic leadership is a style in which managers work with employees to make decisions. Free-rein leadership requires the leader to set goals for managers and employees and then leave them alone to get the job done.

Free-rein leadership, also called Laissez-Faire, is a type of leadership style in which leaders are hands-off and allow group members to make the decisions. Mangers set objectives and employees are free to do whatever is appropriate to accomplish those objectives.

Democratic leadership is a type of leadership style in which members of the group take a more participative role in the decision-making process.

Could anyone please help me? I really need help, I am not understanding this. I will love the help, please.

Answers

Answer:

Problem 1: Even

Problem 2: Even

Problem 3: Neither

Problem 4: Neither

Explanation:

You have to consider the fact that just because it is negative doesn't mean its odd. You have to do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.

Hope this helps! :)

even
even
neither
neither

If a snail with a red shell crossed with a white shell, what color would the children be

Answers

Answer:

Pink

Explanation:

Mixing the colors red and white make up the color pink. Thus if they were to breed, their traits would mix resulting in pink offspring.

Answer:

PIIIIIIINKK

PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK PINK

list ten agricultural liming materials​

Answers

Answer:

Agricultural lime

Burnt lime

Hydrated lime

Dolomite

Magnesite

Burnt magnesite

Wet lime

Lime and cement kiln dusts

Crushed shells

Gypsum

Question 16 (5 points)
image

Determine the value of x in the figure.
Question 16 options:

A)

x = 3

B)

x = 4.5

C)

x = 6

D)

x = 9
Question 17 (5 points)
image

The figure shown models a roof truss. Based on the markings, is there enough information to prove that ΔCED ≅ ΔCGD?
Question 17 options:

A)

No, because SSA isn't a triangle congruence theorem.

B)

Yes, the triangles are congruent by HL.

C)

No, the two triangles aren't congruent because they aren't right angles.

D)

Yes, the triangles are congruent by SSA.
Question 18 (5 points)
image

The figure shown represents a triangular window design. If ΔIKL ≅ ΔJOP, which of the following statements must be true?
Question 18 options:

A)



B)

∠IKL ≅ ∠OPJ

C)

∠PNM ≅ ∠OJP

D)


Question 19 (5 points)
image

ΔABC has been translated right to create triangle ΔXYZ. Based on this information, which of the following is a true statement?
Question 19 options:

A)



B)

∠A ≅ ∠C

C)

∠B ≅ ∠X

D)


Question 20 (5 points)

Answers

Explanation: x=4 45 r=64 54=34r4 443

Which of the following explains the importance of the English Bill of Rights? (4 points) a It created a constitutional monarchy. b It gave the nobles total control. c It gave the king or queen more power. d It made the parliament weaker.

Answers

Answer:

a) It created a constitutional monarchy.

The correct answer explaining the importance of the English Bill of Rights is  It created a constitutional monarchy.

The correct answer to the given question is a.

The English Bill of Rights, enacted in 1689, was a pivotal document that established important principles and rights in the governance of England. It played a crucial role in shaping the political landscape and establishing the foundation of constitutional monarchy in England.

The Bill of Rights limited the powers of the monarchy and affirmed the supremacy of Parliament. It outlined several key provisions that protected the rights of individuals and defined the relationship between the monarchy and the governed. These provisions included the right to petition the king or queen, freedom of speech and debate in Parliament, and protection against cruel and unusual punishment, among others.

By establishing a constitutional monarchy, the English Bill of Rights helped ensure that the monarch's power was limited and balanced by the authority of Parliament. It set the precedent that the monarch's authority derived from and was subject to the law, and that the government should operate within the framework of a written constitution.

The creation of a constitutional monarchy through the English Bill of Rights laid the groundwork for the development of modern democratic principles, the protection of individual rights, and the idea of limited government. It served as an influential model for later constitutional developments in other countries, including the United States.

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Hi 123-123+123+123=????

Answers

Answer: 246

Explanation: 123-123+123+123= 246

Answer:

246

Explanation:

All forms of electromagnetic radiation occur as waves.
true
false

Answers

I believe it is false.
I think that electromagnetic radiation can occur in other forms such as rays. Rays and waves seem similar and are both apart of the electromagnetic spectrum, but they take different forms.

Difficult concepts in The Medawar Lecture 1998 Is science dangerous

Answers

The Medawar Lecture 1998 addresses the concern about the danger of science. Sir Peter Medawar, who was the Nobel Prize-winning immunologist, was known to make his lectures about topics that were outside his field of expertise, and this lecture was no exception.


Science has been responsible for some of the most significant advancements in the history of humanity. Medicine, agriculture, and technology are just a few examples of fields where science has brought us significant progress. However, science can also be used for destructive purposes. For example, the atomic bomb was developed through scientific research. This technology has the power to wipe out entire cities, and it has been used for that purpose in the past.
In conclusion, science is not inherently dangerous, but it can be used for dangerous purposes. The responsibility lies with the people who use it. It is up to scientists and policymakers to ensure that science is used for the greater good and not for evil.

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What is the velocity of a car that traveled a total of 75 kilometers north in 1.5 hours?
NEED HELP ASAPP!!
SOCIAL STUDIES

Answers

Answer:

V = 50km/h

Explanation:

V = d / t

v = 75km / 1.5h = 50km/h

or 13.88 m/s

Other Questions
find the slope of 1,5 and 0,4 Cullumber Industries collected $84,000 from customers in 2022. Of the amount collected, $20,000 was for services performed in 2021. In addition, Cullumber performed services worth $32,000 in 2022, which will not be collected until 2023. Cullumber Industries also paid $57,600 for expenses in 2022. Of the amount paid, $24,000 was for expenses incurred on account in 2021. In addition, Cullumber incurred $33,600 of expenses in 2022, which will not be paid until 2023. (a) Compute 2022 cash-basis net income. Cash-basis net income $ (b) Compute 2022 accrual-basis net income. Accrual-basis net income $ fill in the blank. bonnie raitt says that american music is special because of its __________________roots. Part Two: Change Management Plan Submit your change management plan from Milestone Two that was created according to the following criteria. Be sure to revise your plan based on feedback that you received on your milestone. 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Identify strategic goals that align with the change management plan and provide rationale. Consider the following in your response: Refer to the Vision, Mission, and Strategic Goals document; U.S. Branch Overview; and Leaders Self-Evaluations. Ensure there is alignment of the change management plan with the strategic goals of the organization (Singaporean headquarters and U.S. branch). Research emerging trends that could influence employees of the U.S. branch. Explain how improvements to organizational systems can ensure successful and sustained behavioral change. Refer to the Exit Interviews to identify the areas of change. What are the processes, procedures, or policies that need improvement? How will these improvements impact behavioral change of employees at the U.S. branch? Recommend enhancement strategies for team collaboration. Refer to the Exit Interviews and the Leaders Self-Evaluations to identify the problems of team collaboration. What are the reasons for the lack of collaboration between team members across both locations of the organization? How can an individual performer become a team player to improve team collaboration? How should leadership behavior change to build trust? Determine a change management model that can be used at the U.S. branch and provide justification. Based on your evaluation of the challenges that the U.S. branch is currently facing, choose from the following change management models: Kotter's Change Management Model, Lewins Change Management Model, or the ADKAR Change Management Model How would you use the model you chose at the U.S. branch? Describe the steps needed to implement the change management model at the U.S. branch. Support your response with research. How would you mitigate and remove any roadblocks in the change management process? What are your plans to deal with the impact of planned and/or unplanned changes and any contingencies? What milestones need to be accomplished for change implementation to succeed? How would you measure success on your plan? Entrepreneurial sales management may have a significant impact on how the potential and current customer may perceive their offerings. In a survey, it indicates that 82 percent of the Inc. 500 CEOs ha If the significance level is changed from 0.10 to 0.01 when calculating a Confidence Interval for a parameter, the width of the confidence interval will: a. Decrease b. Increase c. Stay the same d. Vary depending on the data janet is a salaried salesperson with a bonus incentive plan for sales above her sales quota. her quota for sales is $1,000,000 per year. she earns 5% on all sales above this quota. in 2020, her yearly sales were $2,000,000 with a base salary of $75,000 per year. what are her total yearly earnings? $75,000 $100,000 $125,000 $175,000 Select the statement that is the negation of the following statement: The monkey is red or the squirrel is yellow. a constant force of 160n acts on an object in the horizontal direction. the force moves the object forward 75m in 2.3 seconds. what is the objects mass? You are considering investing in a company that cultivates abalone for sale to local restaurants. Use the following information: Sales price per = $43.10 abalone Variable costs per = $10.50 abalone Fixed costs per year = $438,000 Depreciation per year = $131,000 Tax rate = 21% = - The discount rate for the company is 13 percent, the initial investment in equipment is $917,000, and the project's economic life is 7 years. Assume the equipment is depreciated on a straight-line basis over the project's life and has no salvage value. a. What is the accounting break-even level for the project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What is the financial break-even level for the project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Let f be a function satisfying f(In r) = V for any x > 0). Then f-1(x) ---- A. 2x B. e/2 1 C. In x 2 : D. 2 In x When a star collapses to one-fifth its size, gravitation at its surface becomes: QS 9-15 Disposal of PPE LO6 Huang Furniture Company showed the following adjusted account balances on September 30, 2017: $ 56,000 39,000 109,000 96.000 48,000 33.000 26,000 21.000 Equipment Accumulated depreciation, equipment. Machinery Accumulated depreciation, machinery. Delivery truck. Accumulated depreciation, delivery truck. Furniture Accumulated depreciation, furniture Click here for a description of List: QS 9-15. Prepare the entries to record the following on October 1, 2017. a. Equipment was sold for cash of $17,000. b. Machinery was sold for cash of $27,000. c. d. Delivery truck was sold for cash of $11,000. Furniture was given to a charity. what is the relationship between acceleration and time a(t) for the model rocket (v(t)=t3 t , where =3.0m/s4 , =36m/s2 , and =1.0m/s) ? For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol , e.g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1. Please do not include units such as "mm" or "$" in your answer.)a) The diameter of a spindle in a small motor is supposed to be 2.5 millimeters (mm) with a standard deviation of 0.17 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 17 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 2.57 mm.H0:Ha:(b) Harry thinks that prices in Caldwell are lower than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $16.35 with standard deviation $2.20. 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