10.1 inverses of simple quadratic and cubic functions
The inverse function of the cubic function is its opposite
The inverse function of [tex]f(x) = 5x^3[/tex] is [tex]f^{-1}(x) = \sqrt[3]{\frac x5}[/tex]
How to determine the inverse of the function?The cubic function is given as:
[tex]f(x) = 5x^3[/tex]
Express f(x) as y
[tex]y = 5x^3[/tex]
Swap the positions of x and y
[tex]x = 5y^3[/tex]
Divide both sides by 5
[tex]y^3 = \frac x5[/tex]
Take the cube roots of both sides
[tex]y = \sqrt[3]{\frac x5}[/tex]
Express y as an inverse function
[tex]f^{-1}(x) = \sqrt[3]{\frac x5}[/tex]
Hence, the inverse function of [tex]f(x) = 5x^3[/tex] is [tex]f^{-1}(x) = \sqrt[3]{\frac x5}[/tex]
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Read the excerpt from "the charge of the light brigade." cannon to right of them, cannon to left of them, cannon behind them volley’d and thunder’d; storm’d at with shot and shell, while horse and hero fell, they that had fought so well came thro’ the jaws of death, back from the mouth of hell, all that was left of them, left of six hundred. why does tennyson most likely repeat the word "cannon" in the first three lines of the excerpt? to prove that the enemy had a larger store of weapons to identify the primary weapon used in the battle to demonstrate the fear the soldiers must have felt to show that the assault on the soldiers was nonstop
Answer:
Tennyson most likely repeats the word "cannon" in the first three lines of the excerpt to show that the assault on the soldiers was nonstop. By repeating the word "cannon," Tennyson emphasizes the constant barrage of artillery fire the soldiers faced from all sides. This repetition creates a sense of overwhelming and relentless attack, highlighting the danger and intensity of the battle. It also underscores the bravery and resilience of the soldiers who faced such a relentless onslaught.
What determines the genetic code of a region of dna?
Explanation:The sequence of the bases?, A, C, G and T, in DNA determines our unique genetic code and provides the instructions for producing molecules in the body. The cell reads the DNA code in groups of three bases.
Read these lines from robert frost’s "the road not taken." i shall be telling this with a sigh somewhere ages and ages hence: these lines most support a tone of somber reflection. neutral reflection. wistful reflection. hopeful reflection.
Answer:
neutral reflection.
Explanation:
Answer:
It's B
Explanation:
Which best describes the cold war? question 1 options: a battle over who would control the korean peninsula during the 1950s a struggle between the eastern bloc and the west that lasted 40 years a race between the soviet union and the united states to rebuild europe after wwii a fight to prevent the communist takeover of cuba
Answer:
A struggle between the Eastern Bloc and the West that lasted 40 years.
Find the output, bbb, when the input, aaa, is 666. b = -1-7ab=−1−7a
The output of the given algebra b = -1 - 7a with the given input of a = 6 is calculated to be; b = -43
How to solve basic algebra?We are given the algebra;
b = -1 - 7a
where;
a is the input
b is the output
Now, we are given the value of the input to be a = 6
Thus, output is calculated as;
b = -1 - 7(6)
b = -1 - 42
b = -43
Thus, the output of the given algebra with the given input is -43.
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Answer:the answer is B
Explanation:
What is the first step in the talk method of conflict resolution?
Answer:
Communication is the first step.
Explanation:
8-2 skills practice adding and subtracting rational expressions
The expressions 3/x + 5/y and 3/(8p^2r) + 5/(4p^2r) are algebraic expressions
The simplified expressions are (3y + 5x)/xy and 13/(4p^2r)
How to solve the rational expressions?From the complete question (see attachment), we have:
3/x + 5/y
Take the LCM
3/x + 5/y = (3y + 5x)/xy
Also, we have:
3/(8p^2r) + 5/(4p^2r)
Take the LCM
3/(8p^2r) + 5/(4p^2r) = (3 + 10)/(4p^2r)
Evaluate the sum
3/(8p^2r) + 5/(4p^2r) = 13/(4p^2r)
Hence, the simplified expressions are (3y + 5x)/xy and 13/(4p^2r)
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with the exception of one or two news stations, there is not much credible evidence that any particular mainstream news source is explicitly biased in one direction or the other in terms of its news coverage.
There is credible evidence that mainstream news source is explicitly biased in one direction or the other in terms of its news coverage is a true statement.
What is the role of overriding bias in the news?Research has shown that there is overriding bias in the news where it goes to one direction of stories with the aim of getting the largest audience.
Note that media bias is said to be a deliberate or unintentional bending of news reporting toward one direction as a result of political views, etc.
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A nurse educator is conducting a learning needs assessment prior to teaching a group. To collect information quickly while safeguarding individual privacy, the nurse educator should use which method?
To collect information quickly while safeguarding individual privacy, the nurse educator should use questionnaire.
What is a questionnaire?A questionnaire serves as a list of questions or items used to gather data from respondents.
This information could be on their attitudes, experiences, or opinions.
However, Questionnaires can be used to collect quantitative and qualitative information.
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Erin has weak feelings of ethnic identity with her Scottish heritage and a strong sense of acculturation with the United States, proclaiming that she is an American and that is that! Erin would be considered:
Separatist
Assimilated
Bicultural
Marginal
Answer:
Explanation:
If her country is currently the United States, then she is Assimilated. She is adamant about what she is. That means her heritage does not matter very much to her.
which of the following solutions is a good buffer system?
Answer:
A Solution that is 0.10m HC2H3O2 And 0.10m LiC2H3O2
Read the article titled "comparative advantage. " explain what comparative advantage is and how it relates to opportunity cost. How do these principles explain why americans have exported customer service operations to india?
Comparative advantage is a guiding principle in how countries should trade with each other.
What is Comparative advantage?Comparative advantage is an economic theory with the idea that countries should produce goods that they incur less opportunity cost in.
It also means that countries should buy goods that they have a higher opportunity cost producing.
Now, the U.S. has a higher opportunity cost than India when it comes to customer service operations and as a result, by the principles of comparative advantage, India should engage in customer service instead of the U.S.
In conclusion, Indians incur less opportunity cost in customer service and so the U.S. exports it there.
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The dietary guidelines for americans recommend that you
Answer:
Follow a healthy eating pattern across the lifespan. Focus on variety, nutrient density, and amount. Limit calories from added sugars and saturated fats and reduce sodium intake. Shift to healthier food and beverage choices. Support healthy eating patterns for all.
Explanation:
How are the three types of corporate combinations usually affected by antitrust policy
Note that not all business organization are affected by antitrust and as such the three types of corporate combinations are usually affected by antitrust policy in terms of market share, vertical merger and others.
What is the aim of an antitrust policy?The antitrust laws are set up to boast and protect competition in business.
The three different types of corporate combinations are:
HorizontalVerticalConglomerate
Companies that are said to be of same phase of production are known to be horizontal combination and that of vertical combination is known to be the kind of merger between companies that said to be of different phases of production of a product.
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use the data in the table below to determine whether each plant is a short-day plant, a long-day plant, a day-neutral plant, or a plant that cannot be classified based on the data.
The short-day plants are plant A and plant D; The Long day plants are plant C and plant E.
What is the classification of each plant?1) Plants in short day; From the given data in the table, we can tell that flowers after a long night and plant flowers after long night were interrupted by the flash of far-red light and a flash of red light. Thus, plant A and plant D are short-day plants.
2) Plants in the long day; Flowers after a long night and flowers after a short night light interrupted them. Thus, plans in the long day are plant C and plant E.
3) Plants on a neutral day; These had plant flowers in all photoperiods possible where photoperiods controls flowering in various plants. Thus, they are plant B and plant F.
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A train leaves boston and travels toward its destination
Answer:
i think it is 4mph
Explanation:
Breaking dna into nucleotides involves this process
Answer:
The answer is Hydrolysis
Explanation:
Hope that helps!
genes, which contain trait specifying information, are located on ______.
Answer:
Chromosomes is a gene that contain trait specifying information. I don't know if this will help or not.
a persistent pattern of disregard for and violation of the rights of others; callousness, or lack of empathy; deceitful; aggressive, manipulative; little to no capacity for intimacy in personal relationships; failure to confirm to social norms and laws; disregard for work, school, and family obligations; commonly referred to as sociopath.
A persistent pattern of disregard for and violation of the rights of others which is commonly known as sociopath is an: antisocial personality disorder (ASPD).
What is ASPD?ASPD is an acronym for antisocial personality disorder can be defined as a type of personality disorder that is primarily characterized by disregard for people, destruction, violation of people's rights, infliction of injuries on others and a lack of close friendships or relationships.
In Psychology, an antisocial personality disorder (ASPD) includes the following characteristics and signs:
Lack of empathy.CallousnessDisregard for school, work and family obligations.Non-conformance to social norms and laws.Read more on personality disorder here: https://brainly.com/question/25764595
Go math grade 8 practice and skills fluency workbook answer key
Answer:
the answer should be on a quizlet that i found
Explanation:
Go Math Middle School Grade 8, Practice Fluency Workbook
1st Edition
HOUGHTON MIFFLIN HARCOURT
here is the edition you need
hope this helps
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What is the force between two 1.0 x 10-5 c charges separated by 2.0 m?
The force between the two identical electrical charges with the given distance of seperation is 0.2247N.
Given the data in the question;
Two Charge; [tex]q_1\ and \ q_2 = 1.0* 10^{-5}C[/tex]Distance between [tex]q_1\ and \ q_2[/tex]; [tex]r = 2.0m[/tex]Force between [tex]q_1\ and\ q_2[/tex]; [tex]F = ?[/tex]Coulomb's lawCoulomb's law states that the force between two electrical charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between the two charges.
This is expressed as;
[tex]F = k\frac{q_1q_2}{r^2}[/tex]
Where [tex]q_1\ and \ q_2[/tex] are the two electrical charges, r is the distance between the charges and k is the Coulomb constant ( [tex]k = 8.98755*10^9 kgm^3/s^2C^2[/tex] )
To determine the force between the two charges, we substitute our values into the expression above.
[tex]F = k\frac{q_1q_2}{r^2}\\\\F = (8.98755*10^9 kgm^3/s^2C^2)\frac{(1.0*10^{-5}C)(1.0*10^{-5}C)}{(2.0m)^2}\\\\F = (8.98755*10^9 kgm^3/s^2C^2)\frac{1.0*10^{-10}C^2}{4.0m^2}\\\\F = \frac{0.898755kgm^3/s^2}{4.0m^2}\\ \\F = 0.2247kgm/s^2\\\\F = 0.2247N[/tex]
Therefore, the force between the two identical electrical charges with the given distance of seperation is 0.2247N.
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There are many factors that contribute towards one's personal values and views toward nature. based on the information from this lesson, identify one or two factor(s) important to your own views on nature and natural landscapes.
The contributing factors to the personal values I have towards nature are:
Its beautyHow unique it appearsIts complex natureWhat is nature?This is a term that is used to refer to the physical world that we live in as well as all the components that exists in it.
By the word nature, it refers to the plants, animals, environment and other features in the environment.
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according to the map below, in which of the following regions were slave populations primarily concentrated around 1860?
The map is not found here, but the regions where slave populations were primarily concentrated around 1860 are South Carolina coast and the Mississippi River.
What were the highest slave populations in the USA?During 1860, the highest slave populations in the USA were concentrated on the South Carolina coast and the Mississippi River.
These regions are located in the south of the USA, where the slavery population was very high for many decades.
In these regions, it has been estimated that 70% population suffered slavery during the period from 1790 to 1860.
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16.2 arc length and radian measure homework answers
To find the arc length on any given circle that has a radius (r) and central angle in radians (∅), the formula for the arc length is: s = r∅
What is the Arc Length?The arc length can be defined as the distance of any part of the circumference of a circle.
Formula for finding the arc length is given as: s = r∅, where r is the radius and ∅ is the central angle in radians.
Information about the problem to solve is missing, however, to find the arc length on any given circle that has a radius (r) and central angle in radians (∅), the formula for the arc length is: s = r∅
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It refers to any software that is installed on a computer’s hard drive.
Answer:
Application Softwares
Choose the best spanish equivalent to the phrase. El profesor termina su ____ (4th) año de estudios. Novena quinto cuarto segundo
Answer:
El profesor termina su cuarto año de estudios.
Explanation:
The teacher finishes his fourth (4th) year of studies. So, the correct option is C.
What is Study?Study is the act of learning something new or gaining knowledge through instruction, research, or reading. It usually entails making a concentrated and deliberate effort to comprehend and retain knowledge, frequently with the aim of reaching a certain academic or professional conclusion.
There are several ways to learn, including reading, making notes, watching lectures, practicing using exercises or issues, and participating in group projects or discussions. Although it is frequently connected to formal education, it can also be done privately or informally and is a crucial aspect of the learning process.
Studying is crucial for personal skill development in addition to educational advancement. Your confidence, skill, and self-esteem can all be increased by having effective study techniques. Additionally, it aids in lowering tension and worry related to tests and deadlines.
So, the correct option is C.
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Your question is in Spanish, but the English translation is most likely:
Choose the best Spanish equivalent to the phrase. The teacher finishes his ____ (4th) year of studies.
ninth fifth fourth secondFinancial algebra: advanced algebra with financial applications workbook answers
An example of Financial algebra is find the 20% increase to the original price of 1.2.
What is Financial algebra?Financial Algebra is known to be a type of semester course that is often made for the upperclassmen. It is one that has been set up to create a good and strong foundation in logical thinking and problem solving in terms of finance and money.
= 20% of the price = 1.2
The cost of the selling price of share = 1.247.65
Therefor it will be= 57.18
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How does hemingway's decision to end the story of the major returning to the hospital after his wife's death contribute to the story's impact?
The decision of hemingway's to end the story of the major returning to the hospital after his wife's death lead to:
It creates a sense of grief for the major not only for the loss of his wife but also the loss of his hand, ending the story on a tragic note.What is ending of a story implies?An ending is known to be the conclusion of a thing. In stories, it can be a sad or an happy ending.
Note that an ending also connote a time when a thing is about to finish or near its completion. The end of the story above produces a sense of grief for the major not only for the loss of his wife but also the loss of his hand, that is tragic story.
See options below
1. It hints that the major mourned for his lost wife only for a brief few days before returning to his routine at the hospital, ending the story on an uncaring note.
2. It emphasizes that the photographs are of no concern to the major because he doesn’t expect the machine to make much difference, ending the story on a doubtful note.
3. It suggests a sense of absurdity that the machine will revitalize the major’s hand to what is shown in the photographs, ending the story on a patronizing note.
4. It creates a sense of grief for the major not only for the loss of his wife but also the loss of his hand, ending the story on a tragic note.
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What is the temperature of 12.20 mol of gas in a 18.35 l tank at 16.40 atm?
The temperature of the given mole and pressure of gas is 300.6K.
Given the data in the question;
Amount of gas; [tex]n = 12.20mol[/tex]Volume of gas; [tex]V = 18.35L[/tex]Pressure; [tex]P = 16.40atm[/tex]Temperature; [tex]T = \ ?[/tex]
The Ideal Gas LawThe Ideal gas law or general gas equation emphasizes on the state or behavior of a hypothetical ideal gas. It states that pressure multiplied by volume is equal to moles multiply by the universal gas constant multiply by temperature. It is expressed;
[tex]PV = nRT[/tex]
Where P is pressure, V is volume, n is the amount of substance, T is temperature and R is the ideal gas constant ( [tex]0.08206Latm/molK[/tex] 0
The determine the temperature of the gas, we substitute our given values inro the equation above.
[tex]PV = nRT\\\\T = \frac{PV}{nR}\\ \\T = \frac{16.40atm\ *\ 18.35L }{12.20mol\ * \ 0.08206Latm/molK} \\\\T = \frac{300.94Latm}{1.001132molLatm/molK} \\\\T = 300.6K[/tex]
Therefore, the temperature of the given mole and pressure of gas is 300.6K.
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