The tangent line to the graph of y=g(x) at x=4 has equation y=-3x+11. What is the equation of the tangent line to the graph of y=g(x)^3 at x=4? Need correct answer and explanation as soon as possible! Will give brainliest!
Answers
Answer:
The equation of the tangent of g(x)^3 at x = 4 is y = 3 - x
Explanation:
The tangent of y = g(x) = -3·x + 11
Therefore, the slope of g(x) = 1/3
The value of y = -3*4 + 11 = -1
The equation of the line g(x) is given as follows;
y - 1 = 1/3*(x - 4)
y - 1 = 1/3x - 4/3
y = 1/3x - 4/3 + 1 = 1/3x - 1/3
g(x) = 1/3x - 1/3
g(x)^3 = (1/3x - 1/3)^3 = \(\dfrac{x^3 -3\cdot x^2 + 3 \cdot x - 1}{27}\)
The slope is therefore;
\(\dfrac{\mathrm{d} g(x)^{3}}{\mathrm{d} x} = \dfrac{27 \cdot (3 \cdot x^2 -6\cdot x +3 )}{729}\)
The slope of the tangent is the negative reciprocal of the slope of the line which gives;
\(Slope \ of \ tangent \ of \ g(x)^3= -\dfrac{729}{27 \cdot (3 \cdot x^2 -6\cdot x +3 )} = -\dfrac{9}{x^2 -2\cdot x + 1}\)
The value of the slope at x = 4 is \(-\dfrac{9}{4^2 -2\cdot 4 + 1} = \dfrac{-9}{9} = -1\)
Therefore, we have;
y at x = 4
\(y = \dfrac{4^3 -3\cdot 4^2 + 3 \cdot 4 - 1}{27} = \dfrac{27}{27} = 1\)
Therefore, the equation of the tangent is given as follows;
y - 1 =(-1) × (x - 4) = 4 - x
y = 4 - 1 - x = 3 - x
The equation of the tangent of g(x)^3 at x = 4 is y = 3 - x.
Related Questions
A better developmental outcome is achieved when parents are authoritarian rather than authoritative.
False
True
Answers
The statement: A better developmental outcome is achieved when parents are authoritarian rather than authoritative is FALSE because authoritative parenting leads to better developmental outcomes for children than authoritarian parenting.
Research on parenting styles has shown that authoritative parenting, which is characterized by warmth, responsiveness, and reasonable demands and expectations, is associated with better developmental outcomes for children compared to authoritarian parenting, which is characterized by high demands and expectations, but low warmth and responsiveness.
Authoritarian parents tend to be strict and controlling, and may use punishment as a means of discipline. This can lead to negative outcomes for children, such as low self-esteem, anxiety, and poor social skills.
On the other hand, authoritative parents provide a supportive and nurturing environment, with clear and consistent boundaries, and allow their children to develop autonomy and self-regulation.
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What is finance?
A the study of the scarcity of resources
B the application of economic principles
C the evaluation of accounting methods
D the framework for calculating inflation
Answers
Answer:
Hope this gives context to the answer
Explanation:
the management of large amounts of money, especially by governments or large companies.
In repression, unconscious and disturbing sexual and aggress Impulses are
Answers
In repression, unconscious and disturbing sexual and aggressive impulses are: d. kept from the conscious mind.
What is the psychodynamic perspective?The psychodynamic perspective to psychology is focused on the systematic study of any psychological force and unconscious influences that influence human behavior, feelings, mind, and emotions, as well as how they might affect unresolved conflicts.
In the psychoanalytic theory of personality development (psychoanalysis), Sigmund Freud explained human behavior and interpersonal relationships.
What is repression?In the psychoanalytic theory of personality development (psychoanalysis), repression can be defined as a defense mechanism that unconsciously excludes and blocks distressing memories, unpleasant emotions, thoughts, aggressive impulses, or feelings from the conscious mind of a living organism such as a human being.
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Complete Question:
In repression, unconscious and disturbing sexual and aggressive impulses are
a. focused on a weaker person
b. transformed into another impulse
c. returned to an earlier stage
d. kept from the conscious mind
Which of the following statements about the geography of the Great Basin and western Great Plains is most supported by
shown on the above map?
Both regions were very mountainous.
There was a relative lack of natural resources.
Both regions had very little wildlife.
O
Both regions had a great abundance and variety of natural resources,
Answers
Answer:
I am going to assume the answer is D, but we dont have the map key of what the colors mean so that is just on principle.
Explanation:
what is the error 6x-2(x-5)=-2
Answers
Answer: It needs to be (x-6)
Explanation:
Answer my all questions
Answers
Answer:
can you mention what it is about because its hindi
Which of the following has the potential to degrade the environment?
A) oil drilling and recovery efforts during oil spills
B)
the refining of oil products
C) the delivery and consumption of oil products
D) all of the above
Answers
Answer:
D
Explanation:
got it right
100 Points!!!!!
Describe the three characteristics of bar graphs.
Answers
Answer:
A bar diagram makes it easy to compare sets of data between different groups at a glance.
The graph represents categories on one axis and a discrete value in the other. The goal is to show the relationship between the two axes.
Bar charts can also show big changes in data over time.
Explanation:
Answer: A bar diagram makes it easy to compare sets of data between different groups at a glance. The graph represents categories on one axis and a discrete value in the other. The goal is to show the relationship between the two axes. Bar charts can also show big changes in data over time.
Explanation: First dude is correct! On Edge!!
Consider the following hypothetical pooled cross-sectional data of daily COVID-19 cases per 1,000 people during the early two months of the pandemic, from March to April 2020 in Ohio and 5 other neighboring states. The variable April takes value 1 if the recorded cases are from April 2020, and takes value 0 if the recorded cases are from March 2020. The variable lockdown takes value 1 if the state put in place a Stay-at-home order beginning from March 2020, and takes value 0 otherwise. Using the difference-in-differences estimator, assess the impact of the lockdown policy on daily COVID-19 cases. Table 1. Daily COVID-19 Cases by State April Cases Lockdown State Indiana 0 2 0 Indiana 1 8 0 0 1 0 1 2 0 Kentucky Kentucky Michigan Michigan Ohio 0 3 0 1 8 0 0 2 1 Ohio 1 4 1 0 4 1 1 7 1 Pennsylvania Pennsylvania West Virginia West Virginia 0 1 1 1 2 1
Answers
The difference-in-differences estimator is a statistical method used to assess the impact of a treatment on an outcome by comparing the change in the outcome between a treatment group and a control group before and after the treatment is introduced.
How to explain the informationIn this case, the treatment is the lockdown policy and the outcome is the number of daily COVID-19 cases.
This difference is 1.5 cases per 1,000 people. We then need to calculate the difference in the average number of daily COVID-19 cases between the treatment group and the control group in March 2020. This difference is 0.5 cases per 1,000 people. Finally, we need to subtract the second difference from the first difference. This gives us a difference-in-differences estimator of 1 case per 1,000 people.
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To calculate the difference-in-differences estimator, we first need to calculate the difference in the number of daily COVID-19 cases between April and March for each state. We then need to calculate the difference in the number of daily COVID-19 cases between states that implemented a lockdown policy and states that did not. Finally, we need to subtract the second difference from the first difference.
The following table shows the results of these calculations:
State April Cases - March Cases Lockdown Cases - Non-Lockdown Cases Difference-in-Differences Estimate
Indiana 2 0 2
Kentucky 1 0 1
Michigan 2 0 2
Ohio 1 1 0
Pennsylvania 4 1 3
West Virginia 2 1 1
The difference-in-differences estimate is positive for all states except Ohio. This suggests that the lockdown policy had a positive effect on the number of daily COVID-19 cases in all states except Ohio.
However, it is important to note that this is just one study and that more research is needed to confirm these findings. Additionally, it is important to consider other factors that may have contributed to the change in the number of daily COVID-19 cases, such as the number of tests conducted and the behavior of individuals.
Event photography might be used for which of the following?
A wedding
A birthday party
A fundraiser
All of the above
Answers
The following is the balance sheet for Raymond Bank, one of many commercial banks in a country in which the banking system has limited reserves.
Assume a percent reserve requirement.
(a) Calculate Raymond Bank’s required reserves. Show your work.
(b) Calculate the maximum amount of additional loans that Raymond Bank can make without selling its holdings of government securities. Show your work.
(c) Assume that Raymond Bank and other banks now lend out all excess reserves.
(i) Calculate the maximum possible change in demand deposits throughout the banking system. Show your work. (ii) What is the maximum possible change in total reserves throughout the banking system?
(d) Suppose that the country’s central bank purchases of Raymond Bank’s holdings of government securities as part of its open-market operations. Do Raymond Bank’s required reserves initially increase, decrease, or remain the same as a result of the central bank’s purchase? Explain.
Answers
Answer:
Explanation:
(a) To calculate Raymond Bank's required reserves, you need to know the reserve requirement. Let's say the reserve requirement is 10%. To find the required reserves, you need to multiply the bank's demand deposits by the reserve requirement. For example, if Raymond Bank has $100,000 in demand deposits, its required reserves would be $10,000 (100,000 x 0.1).
(b) To calculate the maximum amount of additional loans that Raymond Bank can make without selling its holdings of government securities, you need to subtract the bank's required reserves from its excess reserves. Excess reserves are the amount of reserves that the bank has beyond what is required by the reserve requirement. For example, if Raymond Bank has $15,000 in excess reserves and $10,000 in required reserves, it can make up to $5,000 in additional loans (15,000 - 10,000).
(c) (i) To calculate the maximum possible change in demand deposits throughout the banking system, you need to know the amount of excess reserves that are available to be lent out. Let's say the total excess reserves in the banking system are $100,000. If all of these excess reserves are lent out, the maximum possible change in demand deposits would be $1,000,000 (100,000 / 0.1), assuming a reserve requirement of 10%.
(ii) The maximum possible change in total reserves throughout the banking system would be equal to the amount of excess reserves that are lent out. In this example, the maximum possible change in total reserves would be $100,000.
(d) If the country's central bank purchases Raymond Bank's holdings of government securities as part of its open-market operations, Raymond Bank's required reserves will initially decrease. This is because the central bank is increasing the bank's excess reserves, which are subtracted from the required reserves to determine the bank's reserve ratio. If the reserve ratio is above the required reserve ratio, the bank's required reserves will decrease.
Which of the following terms appears in the Republican platform, but not in the Democratic one?
A.
gay marriage
B.
defense
C.
small business
D.
amnesty
Answers
The term "defense" appears in the Republican platform, but not in the Democratic one. Hence option B is correct.
What is the Republican about?Both parties have a different perspective on national defense and military spending. The Republican party generally has a more hawkish approach on defense, with emphasis on a strong military and defense budget. The Democratic party generally has a more dovish approach on defense, with emphasis on diplomacy and non-proliferation of weapons.
Therefore, Both parties have different perspectives on the other terms:
A. gay marriage: Both parties have evolved on this issue, with more and more states legalizing gay marriage and the supreme court ruling it as a constitutional right.
C. small business: Both parties generally support small businesses and have policies to promote their growth, but the approach and specific policies may differ.
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Gawain sa Pagkatuto Bilang 3: Basahing mabuti ang mga pangungusap. Isulat ang salitang TAMA kung wasto ang ipinapahayag ng pangungusap at MALI kung di-wasto. Isulat ang sagot sa patlang.
1. Kinilala ang Knossos bilang isang makapangyarihang lungsod at sinakop nito ang kabuoan ng Athens
2. Sa pamayanang Minoan ay may apat na pangkat ng tao ang mga maharlika, mga mangangalakal, mga kawal, at ang mga alipin.
3. Bagamat walang naiwang mga nakasulat na kasaysayan, ang pagsasalin-salin ng mga kwento ng mga hari at bayaning Mycenaean ay lumaganap.
4. Naging sentro ng sinaunang Greece ang mabundok na bahagi ng tangway ng Bulkan sa timog at ilang mga pulo sa karagatan ng Aegean.
5. Karamihan sa mga polis ay may mga pamayanang matatagpuan sa matataas na lugar na tinawag na acropolis o mataas na lungsod.
Answer:
1.Mali
2.Mali
3.Tama
4.Tama
5.Tama
Answers
Answer:
1.Mali
2.Mali
3.Tama
4.Tama
5.Tama
Original Sin is the suffering of innocent people that comes from natural events like a tsunami.
True or False
Answers
Why? Because original sin was caused by man, not by God (this is a biblical statement, if you are asking for that perspective, but if u aren’t just say this:
Original sin is the suffering of innocent people caused by man, not nature)
Hope this helps!!
Can someone answer I’m trying to pass this class
Answers
Answer:
1. gerund phrase
2. the second choice (i think)
Explanation:
If enough experimental data supports a hypothesis, then it
Answers
Answer: The hypothesis would become a theory.
Explain how the H-O theory can be used to explain the pattern of trade between two countries.
Outline the assumptions of the theory to hold true in its purest form.
Answers
Answer and Explanation:
The Heckscher-Ohlin economic model, also known as H-O theorem, presents the idea that trade relations between the two countries are based on the resource that each country has in abundance, that is, each country will exploit economically, the most abundant resource and establish trade relations with other countries, exporting it.
We can prove this theorem, by observing that countries that have favorable environmental conditions for agriculture, will establish their commercial relations based on the agricultural products that they can export. Among these countries, we can mention China and its strong export of rice and Brazil and its strong export of orange juice. On the other hand, countries that have as main resource the production of machines, will export these machines to establish their commercial relations, like Germany and a strong export of automobiles.
Exercițiu 5 va rog cât mai repede
Answers
Provide some examples of items that would be adjusted directly against equity, rather than being included as part of profit or loss. and explain it
Answers
Answer:
Unrealized gains or losses on derivatives held as cash flow hedges, Dividend declared or paid during the reporting period, unrealized gains or losses on investments available for sale.
Explanation:
Some of the examples of items that would be adjusted directly against equity, rather than being included as part of profit or loss are given below;
(1). Unrealized gains or losses on derivatives held as cash flow hedges: in this situation when risk investors are on short in stock they will be long in futures in order to hedge. Therefore, the gain or loses is known as Unrealized gains or losses.
(2). unrealized gains or losses on investments available for sale: here the investment are sold in a very short period instead of holding them.
Another ones are: Dividend declared or paid during the reporting period and foreign exchange translation gains or losses.
Do you think that greenhouse gases are helpful or harmful to Earth? Why?
Answers
Answer:
They are harmful
Explanation:
they are harmful because they can cause climate change by trapping heat and they can help to cause respiratory disease such as air pollution
11. Four buses leave from the same bus terminal at different times. The information for each bus is
displayed in the table below.
Which bus arrives last?
A. A
B.B
C.C
D. D
Answers
pls help
Banks across the country are decreasing nominal interest rates. What will happen to the price of government bonds?
Answers
Answer: Bond prices move inversely to interest rates, so as interest rates fall, the price of bonds rises.
Different things motivate different people. While you may be motivated to get good grades and get a scholarship to an Ivy League college after high school, your classmate's motivation might be to finish high school and go backpacking around the world. Do some research on the Internet and at the school library, and write about the four different types of external and internal motivations: extrinsic, intrinsic, identified, and introjected, and provide examples for each. Also, consider a situation in which you were highly motivated (it does not have to be academic), and describe your motivation and the outcome of the situation.
Answers
Answer:
i had a different thing and i finished mine so i thought id try my best to help
Explanation:
So i had to write about something that motivated me
looking at myself in the mirror and hating how i looked. i was okay with that at first but when others around me started calling me over weight or "chubby" it go to me. and its motivated me to work out. ill fall behind and stop but then i just think about how that made me feel and i just work harder.
Thats what i had wrote
This is my idea of what your question is askingan extrinsic motivation would be doing something and getting a reward, the reward of how my body would look therefor compliments i could receive. its like a like praise or rewardan intrinsic motivation would be doing something without getting a reward, it would be if i was just working out because i enjoyed itidentified motivation(regulation?) is if i worked out because i saw value in it introjected motivation would be if i worked out to maintain self-esteem and my pride to avoid anxiety . Another example could be that im working out to please someone else and make them happyI really hope this is helpful to someone
A reward for accomplishing something, such as how my body would appear and the accolades I could receive, would be an extrinsic drive. It functions as a compliment or reward is one of the motivation.
What is motivation?Motivation is defined as an organism's level of readiness to pursue a certain goal means that the nature and location of the forces, including the level of readiness, have been determined.
There are three types of motivation.
ExtrinsicIntrinsicFamilyIf I were exercising just out of enjoyment rather than in search of a reward, it would be an example of intrinsic motivation.
If I exercised because I saw its benefit, that would be my identified motivation.
If I exercised out, my introjected motivation would be to uphold my dignity and self-esteem in order to prevent worry. Another illustration would be if I were exercising in order to make someone else happy.
Thus, a reward for accomplishing something, such as how my body would appear and the accolades I could receive, would be an extrinsic drive. It functions as a compliment or reward is one of the motivation.
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The federal government taxes individuals on interest earned from state bonds. The state of Washington declares that interest earned on state bonds will be free from federal tax. The case goes to the Supreme Court. Which of the following rulings is most likely in this case? The court sides with the federal government, citing federal nullification of state laws. The court sides with the state government, citing state sovereignty regarding taxation. The court sides with the federal government, citing federal supremacy over state laws. The court sides with the state government, citing the Constitution’s necessary and proper clause.
Answers
Please help aspapp
After reading the information in chapter 3, identify and discuss three distinct areas in the forebrain that you believe are most important to the study of Psychology and understanding human behavior. Make sure to thoroughly discuss the three areas and the elements of behavior that are involved.
Answers
In the study of Psychology and understanding human behavior, there are several distinct areas in the forebrain that play crucial roles. Three areas that are particularly important are the prefrontal cortex, the limbic system (including the amygdala and hippocampus), and the basal ganglia. Let's discuss each of these areas and their relevance to human behavior.
1. Prefrontal Cortex: The prefrontal cortex (PFC) is involved in higher cognitive functions such as decision-making, executive control, and social behavior. It is located at the front of the brain, behind the forehead. The PFC enables us to plan, set goals, inhibit inappropriate behaviors, and regulate our emotions. It plays a vital role in self-control, working memory, and attention.The PFC's involvement in decision-making is particularly important in understanding human behavior. It helps us weigh the potential outcomes of different choices and make rational decisions based on our goals and values. Additionally, the PFC is crucial for inhibiting impulsive behaviors and delaying gratification. Damage to the PFC, such as in cases of frontal lobe injury, can result in difficulties with decision-making, impulse control, and emotional regulation.
2. Limbic System: The limbic system is a group of brain structures that includes the amygdala and hippocampus, among others. The amygdala is responsible for processing emotions, especially fear and anxiety responses, while the hippocampus is involved in memory formation and spatial navigation. Both structures play a significant role in human behavior.The amygdala's involvement in emotion processing makes it essential for understanding behaviors related to fear, aggression, and emotional responses. It helps us recognize and respond to threats, allowing for survival and self-preservation. Dysfunction in the amygdala can contribute to anxiety disorders and difficulties in emotional regulation.
The hippocampus, on the other hand, plays a crucial role in the formation and retrieval of memories. It helps us create new memories and integrate them into our existing knowledge. Impairments in the hippocampus can lead to memory deficits, affecting various aspects of behavior, such as learning, problem-solving, and decision-making.
3. Basal Ganglia: The basal ganglia are a collection of structures located deep within the brain, and they are involved in motor control, habit formation, and reward-based learning. They include the striatum, globus pallidus, and substantia nigra, among others. The basal ganglia are responsible for coordinating voluntary movements and establishing automatic motor patterns.Regarding human behavior, the basal ganglia are critical for the development and execution of habits and routines. These structures help us learn repetitive behaviors and perform them without conscious effort. Dysfunction in the basal ganglia can result in movement disorders, such as Parkinson's disease, which can affect motor skills, coordination, and the ability to initiate or inhibit movements.
Moreover, the basal ganglia, particularly the reward circuitry involving the nucleus accumbens, play a vital role in the experience of pleasure and reward-based learning. It influences motivated behaviors, including seeking rewards and avoiding punishment. Dysregulation in the basal ganglia's reward circuitry can contribute to addiction and other disorders related to reward processing.
In conclusion, the prefrontal cortex, limbic system, and basal ganglia are three distinct areas in the forebrain that are crucial for understanding human behavior. The prefrontal cortex is involved in decision-making and executive control, the limbic system is responsible for emotion processing and memory formation, and the basal ganglia play a role in motor control, habit formation, and reward-based learning. By studying these areas and their interactions, psychologists gain valuable insights into the neural mechanisms underlying various aspects of human behavior.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
In silent night when rest I took
For sorrow near I did not look
I wakened was with thund'ring noise
And piteous shrieks of dreadful voice.
That fearful sound of "Fire!" and "Fire!"
Let no man know is my desire.
What is The stanza features?
inverted syntax
a sonnet
an extended
metaphore
none of these
Answers
Wellington, New Zealand is most likely to experience
Answers
Answer: Four distinct seasons
Explanation:
Due to the way the Earth is tilted, areas to the North and South of the planet experience four distinct seasons arising from the sun hitting these areas more at different times during the year.
With New Zealand being so far south, it will definitely get all four seasons in the year. It will be colder when the sun is focusing on the Northern hemisphere and warmer when the sun is focusing on the south.
What categories of societies can be found in the United States today?
Answers
There are numerous types of societies in the United States today. Some of them are:
Hunting-gathering culturesHorticultural organizations.Agricultural societiesSocieties that are industrialized.Societies that are post-industrial.What is society?
The term society is commonly used in the social sciences to refer to a collection of people who form a semi-closed social structure in which most interactions are with other members of the group. A society is defined more broadly as a network of interactions between social entities.
A society is a collection of people who contact one another on a regular basis or a big social group that shares the same physical or social region and is generally subject to the same governmental authority and prevailing cultural expectations.
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A client wants to donate five widgets (set up as inventory items) to a charity. In the item setup, the cost is $5 and the sales price is $10. Fifty widgets were originally purchased at $6 per widget.
What is the effect on the General Ledger when this is recorded on a Sales Receipt?
Answers
Raley and Jordan were in a room working together. There was a huge chocolate bar, that their mom left. By the time they both came back, it was gone. Raley claims that Jordan ate it because he went to the bathroom first. Jordan claims that Raley ate it because she was trying to frame him. Who is lying?
Answers
Jordan has learned to hit the machine because she has seen other people hit vending machines when their money is eaten.
Who is a behaviorist?A behaviorist is a person who studies people's behavior and attitudes under different conditions. The act of hitting and kicking the vending machine when it does not vend is a behavior due to rage.
Since Jordan just lost his money to the vending machine, he's mad at it and he has seen other people hit vending machines too.a behaviorist will conclude that Jordan has learned to hit the machine.
Therefore, Jordan has learned to hit the machine because she has seen other people hit vending machines when their money is eaten.
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