if ∫xaf(t)dt=3x2+12x what are the possible values of a? Verify that your values of a are correct. Show all your work.

HELP PLS <3

Answers

Answer 1

a) All real numbers are possible values of a.

b) The average value of f(x) on [-5,1] is 1/3. The average occurs for values of x such that |x + 2| = 1/3, which is at x = -7/3 and x = -5/3.

What is the explanation for the above response?

a) We know that

∫xaf(t)dt = 3x^2 + 12x

Taking the derivative of both sides with respect to x, we get:

a*f(x) = 6x + 12

Solving for f(x), we get:

f(x) = (6x + 12)/a

To find the possible values of a, we need to ensure that f(x) is integrable. The function f(x) will not be integrable if it is not continuous or if it is discontinuous at a finite number of points.

Since (6x + 12)/a is a continuous function of x, it will be integrable for any value of a. Therefore, all real numbers are possible values of a.

To verify, we can integrate ∫xaf(t)dt using the derived expression for f(x):

∫xaf(t)dt = ∫x(6x + 12)/adt = 3x^2 + 12x

This confirms that f(x) = (6x + 12)/a satisfies the initial equation for any value of a.

b)
To find the average value of f(x) on [-5,1], we need to calculate the definite integral of f(x) over the interval [-5,1] and divide by the length of the interval (6):

INT(-5,1) |x + 2| dx

Since |x + 2| is not differentiable at x = -2, we need to break the integral into two parts at x = -2 and evaluate each separately:

INT(-5,-2) -(x + 2) dx + INT(-2,1) (x + 2) dx

= (-1/2)(x^2 + 4x)|{-5}^{-2} + (1/2)(x^2 + 4x)|{-2}^{1}

= [(-1/2)(4 - 20) + (1/2)(1 + 4) + (1/2)(9 + 4) - (1/2)(4 + 8)]/6

= (-8 + 2 + 13 - 6)/12

= 1/3

Therefore, the average value of f(x) on [-5,1] is 1/3. The average occurs for values of x such that |x + 2| = 1/3, which is at x = -7/3 and x = -5/3.

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Full Question:

b) Let f(x) = |x + 2| on [-5,1]. What is the average value of f?

For what values of x does the average occur? Show all your work

For an indefinite integral, use the notation INT in place of the symbol. For example, \int_{}^{} (x+1) dx should be written as: INT (X+1)dx. For a definite integral, use the notation INT (a,b). For example, \int_{1}^{2} (x+1) dx should be written as INT(1,2) (x+1)dx. For a definite integral that has been integrated, use the notation EVAL(a,b). For example, ((x^2/2) + x)|_{1}^{2} should be written as ((x^2/2) + x)EVAL (1,2).

Related Questions

recommend any four ways in which the unemployment rates could be reduced in South Africa.

Answers

Answer: Check below

Explanation:

Here are four ways in which the unemployment rates could be reduced in South Africa:

1. Encourage foreign investment: Attracting foreign investment can help create more job opportunities in the country. The government can offer incentives to foreign companies to set up operations in South Africa, thereby creating jobs for the local population.

2. Promote entrepreneurship: Encouraging and supporting entrepreneurship can create new businesses and jobs. The government can provide training and financial assistance to entrepreneurs to start their own businesses.

3. Increase infrastructure spending: Investing in infrastructure such as roads, bridges, and public transport can create jobs in construction and related industries. This can also attract new businesses to the country, leading to further job creation.

4. Improve education and training: Improving the quality of education and providing training programs can help reduce the skills gap in the labor market. This can make workers more employable and increase their earning potential.

Jalil has been under a lot of stress at work. For three weeks he has
been preparing to make a sales presentation to an important client.
Jalil has been rehearsing late every night to make sure he remembers
all the details of his presentation. Unfortunately, Jalil wakes up
with a bad cold on the day of his presentation.

Answers

Chunking makes recalling information easier by grouping related things together. Jalil can use chunking to remember details of his presentation.

What is the presentation about?

Divergent thinking involves generating many ideas while performing a task. Jalil will need to use divergent thinking during his presentation to come up with new ideas and improve his presentation.

Insight learning involves breaking down a problem to find a new solution. Jalil should apply insight learning to his presentation to anticipate and address potential issues.

Lastly, The hippocampus is responsible for collecting memories. Jalil can use his hippocampus to remember what he needs to say during his presentation, including past rehearsals.

Answers

The federal government may use unfunded mandates to address important national issues or to ensure compliance with federal regulations.

What is the federal government about?

Unfunded mandates are requirements imposed by the federal government on state and local governments or private entities without providing funding to cover the associated costs. The federal government may use unfunded mandates to address important issues such as public health, safety, and welfare. For example, the federal government may require states to provide clean drinking water or to implement measures to reduce air pollution. However, some argue that unfunded mandates may place an unfair financial burden on states and local governments, and may lead to reduced services or increased taxes.

2. The Americans with Disabilities Act (ADA) is a federal law that prohibits discrimination against individuals with disabilities. Businesses are required to comply with the ADA by making reasonable accommodations to ensure that individuals with disabilities have equal access to employment, public accommodations, and other services. However, complying with the ADA can be costly for businesses, particularly small businesses. Providing subsidies to businesses to help cover the costs associated with complying with the ADA may help to promote compliance and ensure that individuals with disabilities have equal access to services.

Therefore, in terms of question3, The Supreme Court’s ruling in Board of Trustees of the University of Alabama v. Garrett (2001) held that state employees cannot sue their employers for violations of the Americans with Disabilities Act (ADA). The Court held that the Eleventh Amendment to the U.S. Constitution protects state governments from lawsuits by individuals, unless the state consents to being sued. While some may argue that this ruling protects the sovereignty of states, others may argue that it places an undue burden on individuals with disabilities who work for state governments. Ultimately, the impact of this ruling will depend on the specific circumstances of each case and the broader context of disability rights in the United States.

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why emperical law are not normative

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Empirical laws are not normative because they describe what has happened in the past and do not tell us what should happen in the future. They are based on observations and are descriptive in nature, rather than prescriptive.

What are Empirical laws

Empirical laws are based on evidence and data that has been collected or observed in the past. They are descriptive statements about how things have been observed to work in the past, not prescriptive statements about how things should or ought to be in the future.

For example, the law of gravity describes the observed relationship between mass and the force of gravity, but does not tell us that gravity should be present in all cases. Similarly, economic laws are based on data collected from past economic activity, but cannot be used to prescribe how the economy should function in the future.

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Find the area under the curve f(x)= x^3 from x = 0 to 2 using LRAM, MRAM, and RRAM, each using n = 4, and also using integration. Show all your work.

HELP

Answers

The area under the curve f(x) = x³ from x = 0 to 2 is approximately 1.25 using LRAM, 3.25 using MRAM, 3.25 using RRAM, and exactly 4 using integration.

What is the explanation for the above response?

LRAM (Left Riemann Sum):

Using n = 4, Δx = (2-0)/4 = 0.5

x_i = iΔx = i(0.5) for i = 0, 1, 2, 3, 4

Area = Δx(f(x_0) + f(x_1) + f(x_2) + f(x_3))

Area = 0.5(0 + 0.125 + 1 + 3.375)

Area = 1.25

MRAM (Midpoint Riemann Sum):

Using n = 4, Δx = (2-0)/4 = 0.5

x_i = 0.5 + iΔx = 0.5 + i(0.5) for i = 0, 1, 2, 3

Area = Δx(f(x_0.5) + f(x_1.5) + f(x_2.5) + f(x_3.5))

Area = 0.5(0.125 + 1 + 3.375 + 8.875)

Area = 3.25

RRAM (Right Riemann Sum):

Using n = 4, Δx = (2-0)/4 = 0.5

x_i = (i+1)Δx = (i+1)(0.5) for i = 0, 1, 2, 3

Area = Δx(f(x_1) + f(x_2) + f(x_3) + f(x_4))

Area = 0.5(0.125 + 1 + 3.375 + 8)

Area = 3.25

Integration:

∫(0 to 2) x³ dx = [x⁴/4] from 0 to 2

Area = (2⁴/4) - (0⁴/4)

Area = 4

Therefore, the area under the curve f(x) = x^3 from x = 0 to 2 is approximately 1.25 using LRAM, 3.25 using MRAM, 3.25 using RRAM, and exactly 4 using integration.

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To find the area under the curve f(x) = x^3 from x = 0 to 2 using the left, middle, and right Riemann sum approximations with n = 4, we first need to determine the width of each subinterval:

Δx = (2 - 0)/4 = 0.5

Left Riemann Sum:

We use the left endpoint of each subinterval to calculate the area of each rectangle.

f(0) = 0
f(0.5) = (0.5)^3 = 0.125
f(1) = 1
f(1.5) = (1.5)^3 = 3.375
f(2) = 8

Area = Δx [f(0) + f(0.5) + f(1) + f(1.5)] = 0.5 [0 + 0.125 + 1 + 3.375] = 1.75

Middle Riemann Sum:

We use the midpoint of each subinterval to calculate the area of each rectangle.

f(0.25) = (0.25)^3 = 0.015625
f(0.75) = (0.75)^3 = 0.421875
f(1.25) = (1.25)^3 = 1.953125
f(1.75) = (1.75)^3 = 5.796875

Area = Δx [f(0.25) + f(0.75) + f(1.25) + f(1.75)] = 0.5 [0.015625 + 0.421875 + 1.953125 + 5.796875] = 4.296875

Right Riemann Sum:

We use the right endpoint of each subinterval to calculate the area of each rectangle.

f(0.5) = (0.5)^3 = 0.125
f(1) = 1
f(1.5) = (1.5)^3 = 3.375
f(2) = 8

Area = Δx [f(0.5) + f(1) + f(1.5) + f(2)] = 0.5 [0.125 + 1 + 3.375 + 8] = 5.25

Integration:

To find the exact area under the curve, we can integrate f(x) with respect to x from 0 to 2:

∫[0,2] x^3 dx = [x^4/4] from 0 to 2 = (2^4/4) - (0^4/4) = 4

Therefore, the area under the curve f(x) = x^3 from x = 0 to 2 is approximately 1.75 using the left Riemann sum, 4.296875 using the middle Riemann sum, and 5.25 using the right Riemann sum. The exact area, found by integration, is 4.

Which of the following is a disorder that takes the form of a bodily ailment that has no physical cause? (NEED ASAP!!!!!!!)

Psychophysiological disorder

Dissociative disorder

Anxiety disorder

Personality disorder

Somatic symptom disorder

Answers

E. Somatic symptom disorder is a disorder that takes the form of a bodily ailment that has no physical cause

Answers

Answer:

Explanation:

The head start program provides learning services for children from birth to age 5.

DQ1: Consider the vertex matrix T in application 1 page 185. How can we extend this into 3 dimensional objects in space? Add a vector, or vectors to T and describe the object for which you have created vertices (i.e., a cube, a pyramid, etc.) What are the dimensions of your new matrix? What do the dimensions represent?

Answers

The size of this 3D matrix is 8 x 3, where 8 denotes the total number of vertices and 3 denotes their respective x, y, and z coordinates. The geometric characteristics of the object are represented by the matrix's.

What is the three-dimensional space equation?

If a point has coordinates P(x, y, z, w), then the characteristics of that point on the unit 3-sphere centred at the origin are x2 + y2 + z2 + w2 = 1. This 3-sphere is an illustration of a 3-manifold, which is a region that "locally looks" like 3D space.

How many vectors in three dimensions are required to orient and position an object in space?

For the orientation of this local frame to be described, at least three independent values are required. Three additional values define.

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Three reasons why planing is important if goals are to be achieved

Answers

Answer:

Explanation:

Without clear objetives, planning will not be well directed and therefore will lose focus.Planning prevents problems that may arise under the current scheme.With planning you can design an action plan and a quantifiable and measurable route.

What can you do with the call number of an item in the library?
Select one:
Determine the item's popularity
ob. Locate the item in the library
c. Purchase the item
d. Nothing; it's just a random number.
Clear my choice

Answers

B: locate the item in the library

State four benefits of persevering when you study the most difficult aspects of your school subjects

Answers

answer Improved Understanding of the Subject Matter

2. Increased Confidence and ResiliencePersevering

3. Improved Problem-Solving and Critical Thinking Skills

Enhanced Learning and Retention

Explanation:

If I dig myself 9 feet in the ground, how many feet am i underground?

Answers

:-(

9ft in the ground.....

The cardinal rule of elevator safety, which must be rigidly enforced, is:

A.send equipment rather than fire fighters on elevators.
B.never take an elevator directly to the fire floor or above.
C.do not use an elevator of questionable safety for a fire on a lower level.
D.never overcrowd elevators.

Answers

The cardinal rule of elevator safety, which must be rigidly enforced, is: D) never overcrowd elevators.

What is elevator safety about?

Elevators are designed to safely transport people and goods between floors in buildings. However, they can also be potentially dangerous if not used properly. To ensure the safety of passengers, there are certain rules and guidelines that should be followed.

Overcrowding an elevator can be dangerous and potentially result in accidents, such as the elevator becoming stuck or falling. Elevators have weight limits that are designed to ensure safe operation, and exceeding these limits can cause the elevator to malfunction.

Therefore, it is important to strictly enforce rules against overcrowding elevators to ensure the safety of passengers.

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3. Many jurisdictions in the United States use “show-ups,” where an eyewitness is brought to a suspect (who may be standing on the street or in handcuffs in the back of a police car) and asked, “Is this the perpetrator?” Is this a good or bad idea, from a psychological perspective? Why?

Answers

From a psychological perspective, show-ups are a bad idea. Show-ups are considered to be highly suggestive and can lead to false identification of a suspect by an eyewitness.

The determining factors of eyewitness’s decision

This is because the presence of the suspect may influence the eyewitness’s decision, even if they are unsure of the identity of the perpetrator. Additionally, the presence of the suspect can increase the eyewitness’s confidence in their identification, even when they are not certain of the identity of the perpetrator.

Show-ups can also lead to the false identification of innocent people, as the eyewitness may be influenced by the presence of the suspect.

In summary, show-ups are not a good idea from a psychological perspective as they can be highly suggestive and lead to false identification of a suspect by an eyewitness. The presence of the suspect can influence the eyewitness’s decision, even when the identity of the perpetrator is uncertain, and can lead to the false identification of innocent people.

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1-5 Trans. No. New Bal. (Sept. 30) APPLICATION PROBLEM Preparing a balance sheet from information in an accounting equation On September 30 the Steffens Company's accounting equation indicated the following account balances. Cash 1,200 + Assets Supplies 150 + Prepaid Insurance 300 = Liabilities Accts. Pay.- Morton Company 250 + Owner's Equity Steven Steffens, Capital + 1,400 Instructions: Using the September 30 balance in the acounting equation, prepare a balance sheet for the Steffens Company. A form is given in the Working Papers.

Answers

Explanation:

Based on the information given in the accounting equation, we can prepare the balance sheet for the Steffens Company as follows:

STEFFENS COMPANY

Balance Sheet

As of September 30

ASSETS

Cash $1,200

Supplies 150

Prepaid Insurance 300

Total Assets $1,650

LIABILITIES

Accounts Payable- Morton Company $250

OWNER'S EQUITY

Steven Steffens, Capital 1,400

TOTAL LIABILITIES AND OWNER'S EQUITY $1,650

Note: The balance sheet shows the financial position of the company as of a specific date, in this case, September 30. The assets of the company are listed first, followed by the liabilities and owner's equity. The total of the liabilities and owner's equity should always equal the total assets.

Transactions: 1. The owner invested $3,000.00 cash in the business. 2. Paid $1,200.00 for insurance for the next year. 3. Purchased supplies from Seiler Supply for $800.00 on account. 4. Purchased $500.00 of supplies from Miles Company. Agreed to pay Miles next month for these supplies. 5. Paid $400.00 to Seiler Supply on account. 6. Ellie VonSpreecken invested an additional $1,000.00 in the business. Instructions: For each transaction, complete the following. Transaction 1 is given as an example. a. Analyze the transaction to determine which accounts in the accounting equation are affected. b. Write the amount in the appropriate columns using a plus (+) if the account increases or a minus (-) if the account decreases. c. Calculate the new balance for each account in the accounting equation. d. Before going on to the next transaction, determine that the accounting equation is still in balance.

Answers

a. Transaction 1:

Accounts affected: Cash (Assets) and Owner's Equity.

Cash (+) $3,000.00

Owner's Equity (+) $3,000.00

Cash = $3,000.00

Owner's Equity = $3,000.00

d. The accounting equation is still in balance:

Assets (Cash) = Liabilities (None) + Owner's Equity (Owner's investment of $3,000.00)

a. Transaction 2:

Accounts affected: Prepaid Insurance (Assets) and Cash (Assets).

Prepaid Insurance (+) $1,200.00

Cash (-) $1,200.00

Prepaid Insurance = $1,200.00

Cash = $1,800.00

d. The accounting equation is still in balance:

Assets (Cash + Prepaid Insurance) = Liabilities (None) + Owner's Equity (Owner's investment of $3,000.00)

a. Transaction 3:

Accounts affected: Supplies (Assets) and Accounts Payable (Liabilities).

Supplies (+) $800.00

Accounts Payable (+) $800.00

Supplies = $800.00

Accounts Payable = $800.00

d. The accounting equation is still in balance:

Assets (Cash + Prepaid Insurance + Supplies) = Liabilities (Accounts Payable) + Owner's Equity (Owner's investment of $3,000.00)

a. Transaction 4:

Accounts affected: Supplies (Assets) and Accounts Payable (Liabilities).

Supplies (+) $500.00

Accounts Payable (+) $500.00

Supplies = $1,300.00

Accounts Payable = $1,300.00

d. The accounting equation is still in balance:

Assets (Cash + Prepaid Insurance + Supplies) = Liabilities (Accounts Payable) + Owner's Equity (Owner's investment of $3,000.00)

a. Transaction 5:

Accounts affected: Accounts Payable (Liabilities) and Cash (Assets).

Accounts Payable (-) $400.00

Cash (-) $400.00

Accounts Payable = $900.00

Cash = $1,400.00

d. The accounting equation is still in balance:

Assets (Cash + Prepaid Insurance + Supplies) = Liabilities (Accounts Payable) + Owner's Equity (Owner's investment of $3,000.00)

a. Transaction 6:

Accounts affected: Cash (Assets) and Owner's Equity.

Cash (+) $1,000.00

Owner's Equity (+) $1,000.00

Cash = $2,400.00

Owner's Equity = $4,000.00

d. The accounting equation is still in balance:

Assets (Cash + Prepaid Insurance + Supplies) = Liabilities (Accounts Payable) + Owner's Equity (Owner's investment of $4,000.00)

A(n)
is a collection of your activities, performances, awards, and experiences that relate to your professional life.

Answers

Answer: career portfolio

Explanation:

A resume is a collection of your activities, performances, awards, and experiences that relate to your professional life.

Which statement is the most accurate description of conditions in both streams?

Answers

Particles are transported by bouncing along the bottom and suspension. This statement is generally accurate for the majority of streams because particles can be transported by bouncing as well as being suspended.

Where is the stream likely to be moving the fastest?

Because of friction, stream velocity is highest near the surface in the middle of the stream and decreases along the bed and banks.

What two elements affect the speed of stream erosion?

The degree of erosion that a stream may endure depends on both natural and human-caused variables. The gradient (or steepness) of the streambed is a natural issue since it impacts the rate of water flow. Snowmelt and rainfall have an impact on the volume and flow of streams.

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Will upvote if correct!! The defining trait of a natural monopoly is

diseconomies of scale at the profit-maximizing quantity

a patent preventing competitors from entering the market

a low minimum efficient scale on the product's long-run average total cost curve

persistent economies of scale across the full market demand

allocative and productive inefficiency at the profit-maximizing quantity

Answers

A natural monopoly is distinguished by sustained economies of scale across the whole market demand.

What statement about a natural monopoly is untrue?

It is making use of scale-related inequities. A natural monopoly is one that develops when one company can serve the entire market for a lesser price than two or more companies could.

Which statement best sums up a natural monopoly?

An industry is deemed to be a natural monopoly if one business can meet the defined market demand at a lower cost than two (or more) companies can.

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After allowing time for companies to make entry and begin interior operations, if the IC receives no progress reports from the interior crew, what should the IC do?
A. Call for a PAR.
B. Contact the safety officer for a progress report.
C. Call the crew for a progress report.
D. Give the interior crew more time.

Answers

Answer:

A. Call for a PAR.

Explanation:

PAR (Personnel Accountability Report) is used in emergency services, such as firefighting, to account for the location and welfare of all personnel operating at the scene. If the IC (Incident Commander) does not receive any progress reports from the interior crew, calling for a PAR will help the IC to determine the status and location of the interior crew. This will allow the IC to maintain situational awareness and make decisions based on the information available.

You have a same-sex family, Adele and Kim in your centre who have a 4-year-old, Thomas, and a 1-year-old Lillian. Adele comes to you to state that their four-year-old had come home crying that another child, Rex, had told Thomas that you cannot have two mothers because his mother (Rex's) had said so.
Drawing on literature:
1. a) Explain why this is an issue that needs to be addressed by you as an early childhood professional
2. b) Outline how you would respond to Adele immediately to address this issue
3. c) Explain how you would follow up to address this issue within your service.

Answers

a) This is an issue that needs to be addressed by an early childhood professional because it concerns the emotional well-being and social development of the child in question.

What is the same-sex family?

The child has been subjected to discrimination and exclusion on the basis of their family structure, which can have negative impacts on their sense of self-worth and belonging. Additionally, it is important to address this issue to promote acceptance and inclusion of diverse family structures within the early childhood setting and to prevent further incidents of discrimination or exclusion.

b) In responding to Adele, an early childhood professional should first acknowledge the emotional impact that this incident has had on the child and express support for their family structure. The professional could then explain that all families are different and that it is important to respect and celebrate diversity. They could also emphasize that hurtful comments or exclusionary behavior will not be tolerated in the early childhood setting and that they will take steps to address the issue.

Lastly, c) To follow up on the issue, the early childhood professional could plan and implement activities that promote acceptance and inclusion of diverse family structures within the early childhood setting. For example, they could read books or show videos that feature families with same-sex parents or invite parents with diverse family structures to speak with the children. They could also facilitate discussions with the children about diversity and acceptance and encourage them to share their thoughts and experiences.

Answers

Since the order in which the members are selected matters (i.e., the mayor, treasurer, and secretary are distinct positions in the leadership team), we can use the permutation formula to calculate the number of possible teams:

P(n,r) = n! / (n-r)!

where n is the total number of members and r is the number of members to be selected.

In this case, n = 9 (the total number of council members) and r = 3 (the number of members to be selected for the leadership team). Therefore, we have:

P(9,3) = 9! / (9-3)!

P(9,3) = 9! / 6!

P(9,3) = (9 x 8 x 7 x 6!) / 6!

P(9,3) = 9 x 8 x 7

P(9,3) = 504

Therefore, there are 504 possible leadership teams that the city council can appoint.

3. List two other tools from the Tools Menu that might be useful to you in the future

Answers

Answer: 1. Query Builder: This tool allows users to visually create and edit SQL queries without needing to know the syntax of SQL. It can be useful for creating complex queries or for users who are not familiar with SQL syntax.

2. Data Modeling Tool: This tool helps users to design and visualize database schemas and relationships between tables. It can be useful for planning and organizing databases before they are built, or for making changes to existing databases.

Explanation:

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Explain what you would do but would not do. Use at least five verbs in five sentences. Use the example as a model. Example: I would speak German but I don't know. Need this very much 100 pointsUse a print news or online news source to find an article that illustrates concepts presented in this lesson. Choose an article reporting on a site where a conflict is likely to occur in the future. Summarize the article and discuss what role, if any, culture will play in the situation. Include the following information in your answer: Title of article: Source of article: (where you found the article, e.g. name of publication or URL) Summary of article: Culture's role: which ideas of the european enlightenment were most influential to the american colonists?group of answer choicesinalienable rightsprogressivismrationality of natureequality for all humans We perform the experiment with the same rod employed in the previous experiment, but now the rod is mounted on our smart cart. The cart is pushed with maximum acceleration a. Justify based on theory the maximum displacement angle observed in both runs. Watch it here and get the data here. [Hint: There is common ground between this question and section 3 in lab 2]. a person moves away from a stationary sound source. which phrase describes the sound perceived by the person? which of the following statements is normative? macroeconomics is a fun class george washington was the first president of the united states the newspaper reports that it is going to rain tomorrow africa is a country How does paragraph 3 of Excerpt from woof Rrrread to me please! Contribute to the structure of the article what is the relationship between habitat size and species diversity? group of answer choices an increase in habitat size leads to larger species diversity an increase in habitat size leads to a decrease in species diversity Why did France help the United States during the American revolution a baseball batter was able to impart to a 7.37 n-s impulse to a 0.145-kg baseball thrown at 62.5 mph, before receiving instruction. after improving his follow-through, the batter has been able to increase the impulse by 13.0%. what will be the new speed of the ball leaving the bat (in m/s) with this greater impulse? (use 1.0 m/s Write the code that will create a 50 x 50 grid of nodes and an output function that displays the row and column of each node in the grid after it is created.Submit a single cpp file that shows the creation and display of the canvas.This is the pseudocode :row1, row2 and p are pointersrow1 = head//create first rowfor (1 -> 50)p = new node//row2 point to node to the right of curent node (row 1)//link left and rightconnect p left to row1connect row1 right to pend loopreset row 1 to head of grid//create row 2 - 50for (2 -> 50)//create first node in row and link it up/downrow2 = new nodeconnect row2 up to row1connect row1 down to row2//hold beginning of rowmove row1 to row2//create rest of nodes on rowfor (2 -> 50)//row2 will always point to previous node in rowp = new nodeconnect p left to previous nodeconnect previous node right to pconnect p up to node above (row2 up right)connect node above p down to pmove row2 to the rightend loopend loop does this actual case require the lens to be stronger or weaker than if there were only air in our eyes? a general term used to describe a drink that contains a certain amount of ethanol is____ What is rising action of miles to fly True or False: Prince Henry was an explorer himself.Has to be answered right now Make x the subject y = (a - b)x Malik described the figure shown below. He said, " Ray ST and ray UT form angle STU." Is Malik's description correct? Explain why or why not. you wish to express a cloned eukaryotic cdna in bacteria. what type of sequence must you add for the mrna to be translated on bacterial ribosomes? Four seats on the FOMC are allocated to Federal Reserve Bank presidents on an annual. rotating basis.A. TrueB. False. If a = 18 in, b = 18 in, c = 30 in, and d = 48 in, and the bases of the figure are the shaded regions, what is the lateral surface area of the geometric shape formed by this net? A. 1,728 sq in B. 2,808 sq in C. 1,944 sq in D. 1,404 sq in

if ∫xaf(t)dt=3x2+12x what are the possible values of a? Verify that your values of a are correct. Show all your work. HELP PLS <3

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if ∫xaf(t)dt=3x2+12x what are the possible values of a? Verify that your values of a are correct. Show all your work.

HELP PLS <3