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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A food worker has prepared a large pot of rice that must be cooled
The number v of computers infected by a computer virus
The number of hours that the computers will be infected by a computer virus is one hour.
How can computers be infected by viruses?Viruses are known to be some forms of computer worms or trojans that can be spread through a system in a lot of ways.
Its spread can be through networks, discs, email attachments etc. It is one that gives others access to your computer.
The number v of computers infected by a computer virus is given by V(t) = 100e^(4.666t)
So therefore, t is the time in hours.
After 1 hour the number of computer infected v(t=1) = 100*e^(4.666*1)
=100*e^4.666
=100*106.271804
=10627.1804
~10627
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Which human activity would preserve non renewable resources
Answer:
conserving and limiting
Explanation:
Hope this Helps!
-Justin
Suppose that the rabbit population on mr. jenkins' farm follows the formula
Jenkins' farm tracks the procedure p(t)=3000tt+1. where t≥0 is the period (in months) since the start of the year.
As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.
We have,
Given formula: p(t) = 300t / (t + 1)
As time (t) increases, the denominator (t + 1) also increases.
The rabbit population (p(t)) is calculated by dividing 300t by (t + 1).
Now, let's examine the behaviour as t becomes larger:
When t is very small (close to 0), the population p(t) is also small, since the denominator (t + 1) is close to 1.
As t increases, the denominator (t + 1) grows, causing the value of p(t) to increase.
However, the rate of increase slows down as t gets larger.
This is because the denominator grows faster than the numerator (300t).
Eventually, as t becomes very large, the value of p(t) approaches but never quite reaches a maximum value.
This behaviour is characteristic of a rational function where the numerator's growth is outpaced by the denominator's growth, resulting in an asymptotic approach to a certain value.
Thus,
As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.
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The complete question:
Population Growth Suppose that the rabbit population on Mr. Jenkins’ farm follows the formula p(t) = 300t / (t + 1)
where t ≥ 0 is the time in months since the beginning of the year.
(a) Draw a graph of the rabbit population.
(b) What eventually happens to the rabbit populations.
Fast food restaurants keep food warm by placing them under heat lamps. These lamps transfer heat by what means?
Answer:
Fast food restaurants keep food hot with infrared lamps. The heat is transferred to the food by radiation
Explanation:
the heat lamps produce radiation just like a microwave.
A 10-newton object moves to the left at 1 m/s. Its kinetic energy is approximately ____ joules
Answer:
0.5
I hope this helps you
:)
The kinetic energy will be "0.5 J". To understand the calculation, check below.
Kinetic EnergyAccording to the question,
Mass or object, m = 10 N or,
= 1 kg
Speed, v = 1 m/s
We know the formula,
→ Kinetic energy, K.E = [tex]\frac{1}{2}[/tex] mv²
By substituting the values, we get
= [tex]\frac{1}{2}[/tex] × 1 × (1)²
= [tex]\frac{1}{2}[/tex] × 1 × 1
= [tex]\frac{1}{2}[/tex]
= 0.5 J
Thus the above answer is correct.
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Based on the equation and the titration results what is the concentration of the h2so4(aq)
Answer:
The value is going to be 0.96 M. You would need to refer to the chart so that you can solve the question properly. To solve for the value of this, you need to know the value of each mole. The equation is going to be MaVa=MbVb x (12). You would need to change the concepts to (0.16)(36.0) x = 0.48.
One of the largest quakes ever recorded in modern times took place in southern Chile and measured 9.5 on the Richter scale.
What does the Richter scale measure?
The Richter scale measures the largest wiggle (amplitude) on the recording, but other magnitude scales measure different parts of the earthquake. The USGS currently reports earthquake magnitudes using the Moment Magnitude scale, though many other magnitudes are calculated for research and comparison purposes.
If the triangle is equilateral then it is equiangular brainly
Answer:
Always true
Explanation:
An equiangular triangle has three equal sides, and it is the same as an equilateral triangle.
Hope my answer helped :)
If a+b=-8 and a + b = 50, what is the
a
value of ab?
Answer:
sorry is that question correct pls
advantages and disadvantages of status conferred as a result of mass communication
Answer:
Advantages
Education: Media educates the mass. With the help of television or radio shows, the mob discovers various facts about health affairs, environmental preservation, and many more topics of relevance.
Updated: People receive the latest news in a short time. Distance does not make a barrier in distributing information to people from any place on earth. People get daily news updates from media outlets, which keeps them updated on the current trends and happenings worldwide.
Exercise innate potentialities: People get to exercise their hidden talents through media. Media helps to showcase their hidden skills such as comedy, performing, singing, recitation, etc.
Gather knowledge: Media helps to increase knowledge about various subjects.
Mass production: Media acts as a great tool in promoting mass consumer products, increasing sales of the assets.
Diadvantages
Individualism: People spend an excessive amount of time on the internet, watching or binging content. As a result, their relationship with friends or family and neighbors may be affected.
Difficulty to Access: Some media topics are unsuitable for children; limiting access to such content can be challenging for elders in specific scenarios.
Fraudulence and Cybercrime: The Internet opens up avenues for imposters, criminals, and hackers, or such predators with the possibility to commit criminal acts without any knowledge of the victims.
Addiction: Some television programs and internet media can be very addictive to most children and adults, leading to a drop in productivity.
Health Concerns: Prolonged television watching or internet binging can lead to vision problems, and exposure to loud noises by using headphones or earphones can lead to hearing defects.
Faulty advertisement tactics: It often makes the use of drugs and alcohol appear cool, which can be harmful to the nations’ youth.
Personal Injury: Some people decide to try the stunts that have been showcased in the media, which lead to severe injuries.
Mark wants to determine the height x of a nearby tree
The height of the tree that can be determined by Mark will be 27.6 feet.
How to calculate height?From the complete question, Mark wants to determine the height x of a nearby tree as he stands 47 feet from the base of the tree and the measure of the angle of elevation is 36°.
The height of the tree will be:
= 47 × sin 36°
= 47 × 0.5878
= 27.6
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Financial 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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select the correct proper or common name for the compound.
Answer:
Select the correct proper or common name for the compound. ) ale F F The compound is named: benzyl 2,3,4-trifluorobutanoate phenyl 2,3,4-trifluorobutanoate phenyl 1,2,3-trifluorobutanoate O 1,2,3-trifluoropropylbenzoate Classify the compound by family. The compound is an ester an anhydride an acid chloride a carboxylic acid an amide.
Explanation:
You are playing a game where you are rolling a fair 6 sided number cube
if I'm not wrong you might be talking about the game Dice???
How to simplify numerical expressions with exponents
Answer:
By multiplying it with each others
Answer:
multiply
Explanation:
What is the sum of the series 1+ln2+(ln2)22!+⋯+(ln2)nn!+⋯?
Answer:
e
ln
(
2
)
=
2
Explanation:
According to your research, you need to budget for insurance and gasoline if you choose to buy or lease the new car. If you choose to buy the used car, you need to budget for insurance and gas
Based on your research, you need to budget $275 for insurance and gasoline if you choose to buy or lease the new car and If you choose to buy the used car, you need to budget $225 for insurance and gas.
What is budget?A budget is a term that connote the estimation that is done for revenue and expenses in a a specified future timeframe.
It is known to be often used by governments, businesses, and individuals and research has shown that a person needs to budget $275 for insurance to buy or lease the new car.
See full question below.
According to your research, you need to budget _____
for insurance and gasoline if you choose to
buy or lease the new car.
If you choose to buy the used car, you need to budget _____
for insurance and gas.
$225 $200
$250 $225
$275 $250
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Answer:
$275
$225
Explanation:
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
rate brainliest
for any given year, the cpi is the price of the basket of goods and services in the
Answer:
a.given year divided by the price of the basket in the base year, then multiplied by 100.
Explanation:
The product of 2 positive integers is 78. The greater
integer is 1 more than twice the lesser integer. What is
the greater integer?
Answer:
it's ez add it and it should give u the question
Explanation:
yea add it and u will get it
Alice says she can find the area of the room by dividing
I found the complete problem.
If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h
Trapezoid 1
A = [(7.5 + 15)/2 * 5
A = (22.5/2) * 5
A = 11.25 * 5
A = 56.25 sq. ft
Trapezoid 2
A = [(5 + 10)/2 * 7.5
A = (15/2) * 7.5
A = 7.5 * 7.5
A = 56.25 sq. ft
Total area = 56.25 + 56.25 = 112.50 sq. ft.
Water has a low specific heat and changes temperature easily, which keeps land near large bodies of water cooler in the summer months and warmer in the winter months.
Water has a low specific heat and changes temperature easily, which keeps land near large bodies of water cooler is False.
What is Specific heat capacity?This is defined as the quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree.
it takes a lot of energy to increase the temperature of water which means it has a high specific heat capacity in this scenario.
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Answer:
False
Explanation:
Suppose that 30% of a population carries a certain gene. you want to estimate the probability that it will take at least a sample of four to find a person that carries the gene, how could you simulate a person having or not having the gene?
Answer:
A
Explanation:
Since only 30% of the population carries the gene, that would mean 70% doesn't carry it. Since you are using 10 digits for this experiment (0-9) this would mean that 0-2 would carry the gene (this equals 30%) and 3-9 would not (70%)
sally really loves being outdoors. she likes to hike, do yoga in the warm sun, and go for long camping trips. she and her wife move to arizona from new york so that they can enjoy these activities in warmer weather for most of the year. this process of moving to an area that is most suited for one’s personality tendencies is called selective ________.
18.1 angles of rotation and radian measure answers
An example of angles of rotation and radian measure question is convert the measure 20° to radian and then from radian to degree.
How does Radians and degrees both measure angles?Radians and degrees are known to often measure angles. Note that one can convert from radian to degree and from degree to radian.
Note that one rotation that is around a unit circle is said to equals 360 degrees or 2π radians.
To solve for the option above 20°
One can say in Radian, it will be π/180
In degree , it will be π/9
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An anthropologist has determined that a newly discovered human bone is 8000 years old. how much of the original amount of carbon-14 is in the bone?
Given that the age of the discovered bone is 8000 years, The original amount of carbon 14 that is in this bone is 38.29%
What is carbon 14?This is a method of radiocarbon that isused in the age determination of substances. That is after the dacay of nitrogen.
The formula that is used to determine the original amount of carbon 14 in the bone is given as:
[tex]y = ae^-^0^.^0^0^0^1^2^t[/tex]
The value of t is given as 8000.
What is to be done is to solve the equation using the value of t
[tex]y = ae^-^0^.^0^0^0^1^2^(^8^0^0^0^)[/tex]
= ae⁻⁰.⁹⁶
Solve for exp(-0.96)
y = 0.3829a
= 38.29%
Therefore the amount of carbon 14 that is in the bone is 38.29%
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when a company cannot fully satisfy demand because of a constraint, which of the following describes an action that should not be taken?
The action that should not be taken by the company is tightening the constraints.
How does a company satisfy their demands?A company is able to satisfy the demands from its customers through the following:
empowering of customers as they like to be valued,satisfying fragmented demands,increasing agility andintroducing innovative services.Therefore,when a company cannot fully satisfy demand because of a constraint, the action that should not be taken by the company is tightening the constraints.
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visibility is restricted due to fog. what should the vessel operator do to avoid the risk of a collision?
Answer:
Unless a risk of collision does not exist, an operator who hears the fog signal of another vessel ahead, is in a close-quarters situation with another vessel ahead, or detects the presence of another vessel by radar must reduce speed to the minimum at which the vessel can be kept on course.
Which of these statements accurately describes the ku klux klan? check any of the boxes that apply. Members tried to hide their identities. The klan supported radical reconstruction. Members attacked african americans and white people. The klan was the only white supremacy group in the south
The statements which accurately describes the Ku Klux Klan is:
Members tried to hide their identities.Members attacked African Americans and White people.What is the Ku Klux Klan?The Ku Klux Klan can be defined as two distinct hate and White supremacist terrorist organization that was founded in 1865 in the United States of America.
The main purpose of the Ku Klux Klan was to suppress and victimize African Americans, especially those that were newly freed as slaves.
In conclusion, the statements which accurately describes the Ku Klux Klan is:
Members tried to hide their identities.Members attacked African Americans and White people.Read more on Ku Klux Klan here: https://brainly.com/question/180449
Answer:
A and C
Explanation:
Members tried to hide their identities.
Members attacked African Americans and white people.