It is a form of debt incurred by an individual or other entity
Answers
Debt is a type of liability incurred by an individual or other entity, such as a business or a government. It is a form of borrowing money or other resources that must be repaid at a later date, usually with interest. Debt can take many different forms, including bank loans, credit card debt, mortgages, and government bonds.
There are many reasons why individuals and organizations take on debt. For individuals, it may be to purchase a home, pay for education, or cover unexpected expenses. For businesses, it may be to fund expansion, purchase equipment, or finance operations. Governments may also take on debt to finance infrastructure projects, social services, or to stimulate economic growth. In general, debt can be a useful tool for achieving financial goals, but it also carries risks.
Excessive debt can lead to financial difficulties, and it can be difficult to repay if the borrower experiences a loss of income or a downturn in the economy. Therefore, it is important for individuals and organizations to carefully manage their debt and only take on as much as they can realistically afford to repay.
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Related Questions
The graph of f(x) = StartRoot x EndRoot is reflected across the x-axis and then across the y-axis to create the graph of function g(x). Which statements about the functions f(x) and g(x) are true? Check all that apply.
The functions have the same range.
The functions have the same domains.
The only value that is in the domains of both functions is 0.
There are no values that are in the ranges of both functions.
The domain of g(x) is all values greater than or equal to 0.
The range of g(x) is all values less than or equal to 0.
Answers
The only value that is in the domains of both functions is 0. The range of g(x) is all values less than or equal to 0. Then the correct options are C and F.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graph of f(x) = √x is reflected across the x-axis and then across the y-axis to create the graph of function g(x).
Then the function g(x) will be
g(x) = -√(-x)
The domain of the f(x) and g(x) will be [0, ∞) and (-∞, 0] respectively.
The range of g(x) will be (-∞, 0].
The only value that is in the domains of both functions is 0.
The range of g(x) is all values less than or equal to 0.
Then the correct options are C and F.
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Answer:
C AND F
Step-by-step explanation:
Edge 2023
What are the solutions of the equation x4 + 6x2 + 5 = 0? Use u substitution to solve.
Answers
Answer:
Given: Equation is x4 + 6x2 + 5 = 0
Let x2 = u then the given equation becomes u2 + 6u + 5 = 0
This is in the form ax2 + bx + c=0
We can solve by using quadratic formula for finding roots
x = {-b ± √(b2 - 4ac)} / 2a
Here, a = 1, b = 6, c = 5
u = {-(6) ± √((6)2 - 4(1)(5))} / 2(1)
u= {-6 ± √(36 -20)} / 2
u = {-6 ± √16}/2
u = {-6 ± 4} /2
u = -1, or u = -5
x2 = u
x = ±√u
x = ±√-1 or x = ±√-5
x = ±i or x = ±√5i
The solutions are + i, -i , +√5i, -√5i for the given equation.
Step-by-step explanation:
hope it helped uh if yes then please mark me a brainliest :)
felix needs to choose a locker combination that consists of 4 4 digits. the same digits can be used more than once. how many different locker combinations are possible?
Answers
There are 10,000 different locker combinations possible, considering the four-digit combination using digits 0 to 9, allowing repetition.
Since the same digit can be used more than once, there are 10 possible choices for each digit (0 to 9). As there are four digits in the combination, the total number of possible combinations can be calculated by multiplying the number of choices for each digit.
For each digit, there are 10 choices. Therefore, we have 10 options for the first digit, 10 options for the second digit, 10 options for the third digit, and 10 options for the fourth digit.
To find the total number of combinations, we multiply these choices together: 10 * 10 * 10 * 10 = 10,000.
Thus, there are 10,000 different locker combinations possible when using four digits, allowing for repetition.
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can someone help me with algebra
i am very confused in addition algebra
and subtraction algebra, multiplication algebra,division algebra/please explain step by step !!!!
Answers
I understand that algebraic operations can be confusing at first, but I'll do my best to explain them step by step. Let's start with addition and subtraction in algebra, and then move on to multiplication and division.
Addition in Algebra:
Start with two or more algebraic expressions or terms that you need to add together.
Identify like terms, which are terms that have the same variables raised to the same powers. For example, 3x and 5x are like terms because they both have the variable x raised to the power of 1.
Combine the coefficients (the numbers in front of the variables) of the like terms. For example, if you have 3x + 5x, you add the coefficients 3 and 5 to get 8.
Write the sum of the coefficients next to the common variable. In this case, it would be 8x.
If there are any remaining terms without a like term, simply write them as they are. For example, if you have 8x + 2y, you cannot combine them because x and y are different variables.
Subtraction in Algebra:
Subtraction is similar to addition, but instead of adding terms, we subtract them.
Start with two algebraic expressions or terms.
Identify like terms, as we did in addition.
Instead of adding the coefficients, subtract the coefficients of the like terms.
Write the difference of the coefficients next to the common variable.
Handle any remaining terms without a like term in the same way as in addition.
Multiplication in Algebra:
Multiply the coefficients of the terms together. For example, if you have 2x * 3y, multiply 2 by 3 to get 6.
Multiply the variables together. In this case, multiply x by y to get xy.
Write the product of the coefficients and variables together. So, 2x * 3y becomes 6xy.
Division in Algebra:
Divide the coefficients of the terms. For example, if you have 12x / 4, divide 12 by 4 to get 3.
Divide the variables. If you have x / y, you cannot simplify it further because x and y are different variables. So, you leave it as x / y.
Remember, these steps are general guidelines, and there might be additional rules and concepts specific to certain algebraic expressions.
It's important to practice and familiarize yourself with these operations to gain confidence and improve your understanding.
Please HElppppppppppppp meeeeeeee! I have less than 10 minutes!
Add:
A. 2 1/5 + 3 1/10
B. 472 2/5 + 312 3/4
Answers
Answer:
A) 5 3/10
B) 785 3/20
Step-by-step explanation:
Hope this helps <3
you find a common denominator and then simplify all fractions to that common denominator. then, you add them up!
2 1/5 + 3 1/10
5 can fit into 10 twice so it becomes...
2 2/10 + 3 1/10 which equals
5 3/10
472 2/5 + 312 3/4
5 times 4 is 20
472 8/20 + 312 15/20
there is a remainder of 3 for the fractions so you put it over 20.
785 3/20
Using systematic random sampling, every fifth dealer is selected starting with the 5 dealer in the list. Which dealers are included in the sample?
Answers
The sampling interval will include dealers in positions 5, 10, 15, 20, and so on, until the end of the list. This ensures that every fifth dealer is included in the sample, providing a systematic and unbiased representation of the population.
1. Determine the sampling interval: In this case, the sampling interval is 5, as every fifth dealer is selected.
2. Choose the starting point: The starting point is the 5th dealer in the list.
3. Apply the sampling interval: Starting from the 5th dealer, select every fifth dealer in the list.
Here's how the sample selection will look like:
- Start with the 5th dealer (first selected dealer).
- Add the sampling interval (5) to the current dealer's position to find the next dealer: 5 + 5 = 10 (the 10th dealer is the second selected dealer).
- Continue this process: 10 + 5 = 15 (the 15th dealer is the third selected dealer).
- Keep adding the sampling interval until the end of the list is reached.
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Rearange 2px+3p=1+2x to make p the subject
Answers
Answer:
p = (1 + 2x) / (2x + 3)
Step-by-step explanation:
2px+3p=1+2x
Factor the left side, taking out p:-
p(2x + 3) = 1 + 2x
Divide both sides by 2x + 3:
p = (1 + 2x) / (2x + 3)
At the same time of a day, a man who is 72 inches tall casts a 43.2- inch shadow and his son cast a 27-inch shadow. Use similar triangle to determine the height of the man son. state the postulate or theorem that can be used to provide the triangle are similar and then justify your answer. Help!
Answers
Answer: x = 40
Step-by-step explanation: 72/43.2 =x/27
1,944 =43.2 (round off)
x = 40
(i think!)
PLEASE I WILL MARK BRAINLIEST
JUST TELL ME HOW TO SLOVE IT
Answers
Answer:
x=5
Step-by-step explanation:
So first we want to find x by itself, so we can subtract 4 from both sides:
x=5
That is your simple answer!
Step-by-step explanation:
\( \huge{ \sf{x + 4 = 9}}\)
~ Move 4 to right hand side and change it's sign :
⟼ \( \huge{ \sf{x = 9 - 4}}\)
~ Subtract 4 from 9
⟼ \( \huge{ \sf{x = 5}}\)
\( \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{ \text{5}}}}}}}\)
Hope I helped ! ♡
Have a wonderful day / night ツ
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9. Higher Order Thinking Suppose you have a graph of speed that shows a lion can run four times as fast as a squirrel. Name an ordered pair that shows this relationship. What does this ordered pair represent?
Answers
Answer: : The point (4,5)
Step-by-step explanation:
PLEASE HELP ME!
In a classroom of 50 students, 30 of them prefer iPads and the rest prefer laptops. what is the ratio of iPads to laptops? Answer in simplest form. If you could, please write out an explanation.
Answers
Answer:
60;40
Step-by-step explanation: 50* 2 = 100
so multiply every thing else by it to
in simplest form tho itd be 3;2
Two firms producing identical products engage in price competition. Cost of firm 1 is $20 per unit produced and cost of firm 2 is $15 per unit produced. There are no fixed costs. Firms produce only after they learn the quantity demanded. Each firm can choose any real number in the interval [15,25] as its price.
For tie-breaking we will assume that if both firms set the same price, all consumers purchase from firm 2.
The payoff/profit function of firm 1 is:
(p1 - 20)(100 - p1) if p1 is less than or equal to p2,
0 if p1 is greater than p2
The payoff/profit function of firm 2 is:
(p2 - 15)(100 - p2) if p2 is less than p1,
0 if p2 is greater than or equal to p1
Given all of this information, solve the following parts of the problem:
a) is p1 = 20, p2 = 19.50 a Nash Equilibrium?
b) is there a Nash Equilibrium in which Firm 2 makes a positive profit?
c) How many strategies does player 1 have?
d) is p1 = 15, p2 = 15 a Nash Equilibrium?
e) is p1 = 21, p2 = 21 a Nash Equilibrium?
Answers
a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.
b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.
c) Player 1 has infinitely many strategies.
d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.
e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.
What is Nash Equilibrium?Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.
Finding Nash Equilibrium
a) Is p1 = 20, p2 = 19.50 a Nash Equilibrium?No. Firm 1 has an incentive to decrease the price to 19.49, thus breaking the tie in its favour. So p1=20, p2=19.5 is not a Nash equilibrium.b) Is there a Nash Equilibrium in which Firm 2 makes a positive profit?Yes. There are several equilibria in which Firm 2 makes a positive profit. One such equilibrium is when both firms charge the same price of 15, at which both firms earn a profit of 375.c) How many strategies does player 1 have?Player 1 has infinitely many strategies to choose from as they can choose any real number in the interval [15,25] as their price.d) Is p1 = 15, p2 = 15 a Nash Equilibrium?Yes. This is a Nash Equilibrium because neither firm has an incentive to change their strategy as they are earning non-zero profits. Both firms earn a profit of 375.e) Is p1 = 21, p2 = 21 Nash Equilibrium?No. If Firm 1 changes its price to 20.99, its profit increases from 405 to 407.99. Therefore, p1=21 and p2=21 is not a Nash Equilibrium.Learn more about Nash equilibrium at
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What is 7.501 in
Expanded Form and word form
Answers
Answer:
seven and five hundred one hundredths.
Step-by-step explanation:
Plzz mark brainiest im in war against person below me plzzz help me. I need to win.
Ted earned $4,300 from his summer internship that he plans to invest so that he can buy a used car after three years. Ted chooses a bank that offers 5.5% compounded quarterly. Can Ted buy a car that costs $4,700 after three years? Round your numbers to the nearest cent.
Answers
Answer: Yes he will be
Step-by-step explanation:
To find out if Ted can afford the car, find the future value of $4,300 in three years.
First convert the number of years and rates to quarterly values as this is the compounding period:
Term = 3 * 4 quarters = 12 quarters
Rate = 5.5% / 4 = 1.375% per quarter
Future value = Amount * ( 1 + rate) ^ term
= 4,300 * ( 1 + 1.375%)¹²
= $5,065.69
Considering that Ted makes $5,065.69 in 3 years, he will be able to buy a car that costs $4,700.
For 15-20, solve each equation. Identifyany extraneous roots. I don’t need explanations, i’ve completed it until: x^3+6x^2+4x+24=0
Answers
we have the equation
\((8x-16)^{\frac{1}{3}}=x+2\)elevated to the cubic on both sides
\((8x-16)=(x+2)^3\)Expand the right side
\(\begin{gathered} (8x-16)=(x+2)^2(x+2) \\ (8x-16)=(x^2+4x+4)^(x+2) \\ (8x-16)=x^3+2x^2+4x^2+8x+4x+8 \\ 8x-16=x^3+6x^2+12x+8 \\ x^3+6x^2+12x+8-8x+16=0 \\ x^3+6x^2+4x+24=0 \end{gathered}\)For the cubic equation
For x=-6
the equation is equal to zero
so
x=-6 is a root
Divide the cubic function by the factor (x+6)
x^3+6x^2+4x+24 : (x+6)
x^2+4
-x^3-6x^2
-------------------------
4x+24
-4x-24
--------------
0
therefore
x^3+6x^2+4x+24=(x+6)(x^2+4)
Solve the quadratic equation
x^2+4=0
x^2=-4
x=2i and x=-2i
the solutions are
x=-6
x=2i
x=-2i
Verify in the original equation
For x=-6
\(\begin{gathered} \sqrt[3]{(8(-6)-16)}=-6+2 \\ -4=-4\text{ ----> is true} \end{gathered}\)The solution is x=-6x=2i and x=-2i are not solutions for the given equation
Solve this equation, if answer is guessed ill report your response
Answers
Answer:
The first one is
\(x=\frac{3}{a }\)
The second one is
\(x=- \frac{a }{6 }\)
The third is
\(x=-\frac{6}{a}\)
Hope this helps, it's just simple rearrangement for x!
Please help!!
Which number is NOT in the solution set of x + 8 > 15?
A)6
B)8
C)10
D)12
Answers
Answer:
A
Step-by-step explanation:
14 is not greater than 15
Step by step explanation
Two patrol boats leave Cape May at the same time, the same speed, but on different bearings. One has bearing 41°45
and the other has bearing 59°13'. How far apart will they be when they are 20 miles from Cape May?
Answers
Based on the information given, the computation shows that the distance between them is 2.47 miles.
Solving the distance.Since one has bearing 41°45', this will be: = 41° + (45/60) = 41° + 0.75 = 41.75°.
The other has bearing 59°13'. This will be:
= 59° + (13/60) = 59° + 0.22 = 59.22°.
The difference of the angles will be:
= 59.22° - 41.75°
= 17.47°
Let the distance between them be represented by c. Therefore, we'll use cosine law to solve the question. This will be:
c² = a² + b² - 2ab cos 17.47°
c² = 20² + 20² - (2 × 20 × 20 × 0.19)
c² = 6.07459
c = 2.47
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planets around other stars can be detected by carefully measuring the ___ of stars
Answers
Planets around other stars can be detected by carefully measuring the "brightness" or "light intensity" of stars.
When a planet orbits a star, it causes a slight change in the brightness or light intensity of the star. This is known as the transit method of planet detection. As the planet passes in front of the star from our line of sight, it blocks a small portion of the star's light, causing a temporary decrease in its brightness. By carefully measuring these changes in brightness over time, scientists can infer the presence and characteristics of planets orbiting the star. This method has been instrumental in the discovery of numerous exoplanets in recent years.
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Joe baked 27 dozen cookies and 24 dozen brownies. There are 12 treats in 1 dozen. About how many treats did he bake? Explain.
Answers
Answer:
612
Step-by-step explanation:
you multiply 27 x 12 and 24 x 12, and add up the products, and you get 612
Answer: 612 Treats
Work: To find out how many treats he baked, you do 27 x 12 and 24 x 12. After doing so, you get 324 and 288. Add those up, and you get 612.
I hope this helps, and Happy Holidays! :)
pick the answer that is correct
Answers
Answer: 1,1
Step-by-step explanation:
the 2 lines cross paths at (1, 1)
What is the missing vaue in the table below?
Answers
Answer: X is the missing value.
Step-by-step explanation:
plz help with this question i know you could do it please help
Answers
Answer:
The answer is 44.99
Step-by-step explanation:
divide 89.98/2= 44.99
U
Question 21
1 pts
What is the name of the property of equality or congruence that justifies going from the
first statement to the second statement?
ARTY
TY AR
Transitive Property of Equality
Symmetric Property of Equality
Subtraction Property of Equality
Reflexive Property of Equality
Answers
Answer:
The property used is Symmetric property of Equality.
Option B is correct option.
Step-by-step explanation:
We are given :
\(AR \cong TY\\\)
Which property will give the step:
\(TY \cong AR\\\)
Looking at the options:
We see that Symmetric property states that if a = b then b= a
Same is the case with the question.
We have :
\(AR \cong TY\\\\TY \cong AR\\\)
If a = AR and b = TY
then the property is: a = b, b=a
So, the property used is Symmetric property of Equality.
Option B is correct option.
In 2012, I had registered to run the California International Marathon. On race morning, it had been pouring down rain for days and there were still torrential rains, sustained 25mph winds, and areas of street flooding. Conversation with my spouse at 4 am race day: Him: It's going to be awful out there, surely you're not crazy enough to actually run in these conditions. Me: I have to go, I paid for it. a) Assuming that if I had not already paid the (large and non-refundable) entry fee, I would definitely not run in those conditions, is it rational for me to decide to run because I had paid a large entry fee? Explain. b) At the end of the race (which I ran) there was a beer tent where each runner could get one free beer. The rain had stopped, the weather was nice and the line for free beer was 25-30 people long. I get significant positive utility from having a beer after a really long run, so the benefit was positive and the price was zero. Yet I skipped the beer. How 'could this be rational (as defined by economists)?
Answers
a) It is not necessarily rational to decide to run in unfavorable conditions solely because a large entry fee has been paid. Rationality is determined by weighing the expected benefits and costs of an action, considering factors such as personal safety and enjoyment.
a) Rational decision-making involves assessing the expected benefits and costs of an action and choosing the option that maximizes personal utility. In the case of running in adverse weather conditions, factors such as personal safety, physical well-being, and enjoyment of the experience should be considered alongside the sunk cost of the entry fee. While the entry fee represents a financial investment, it should not be the sole determinant of the decision. If the expected negative consequences of running in dangerous conditions outweigh the benefits derived from participating, it would be rational to prioritize personal well-being over the sunk cost of the fee.
b) Skipping the free beer after the race can be rational if the perceived benefits of having the beer are outweighed by other factors, such as the time and effort required to wait in line or the desire to prioritize other post-run activities.
b) Rationality, as defined by economists, takes into account the subjective preferences and trade-offs individuals make based on their utility. While the free beer may have a positive utility for you after a long run, skipping it can still be rational. The decision depends on the relative value you assign to different activities or opportunities available to you at that moment. Factors such as the length of the line, time constraints, and alternative options for post-run relaxation or recovery could influence your decision. If the perceived benefits of waiting in line for the free beer are outweighed by other activities or priorities, it would be rational to skip it and allocate your time and effort elsewhere. Rationality in this context involves optimizing overall utility based on personal preferences and circumstances.
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189 divided by 7 please get a long division answer
Answers
Using long division, 189 divided by 7 is 27
How to use long division technique?The picture below represent how to use long division.
Firstly, we divided 1 by 7, it can't go. Therefore, it zero. we put zero at the quotient space.
Multiply zero by 7 and subtract from 189.
We use 18 to divide 7. It will give us 2 remainder 4. we put the 2 at the quotient side and multiply it by 7 to get 14.
Then we subtract 14 from 18. And so on. This is done till we get 0.
Therefore, using long division, 189 divided by 7 is 27
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Let's say my car (I DON"T HAVE ONE) holds 17 gallons of gas right now it has 6 gallons. Can you explain how to find the amount of gas I need in liters, to fill the gas tank with the conversion factions 4 quarts in a 1 gallon and .94 liters in 1 quart
Fill the blank:
I need about _____ liters of gas to fill my tank
Answers
Answer:
41.6 (rounded to nearest tenth)
Answer:
I need about 41 liters of gas to fill my tank
Step-by-step explanation:
Full tank: 17 gallons
Amount of gas in tank now: 6 gallons
Amount needed to fill tank: 17 gallons - 6 gallons = 11 gallons
The amount needed to fill the tank is 11 gallons.
Now we convert 11 gallons to liters.
We use conversion fractions, first from gallons to quarts, then from quarts to liters.
11 gallons * (4 quarts)/(1 gallon) * (0.94 liter)/(1 quart) = 41.36 liters
Find this function after differentiating it 68 times:f(x) = sin (3x)
Answers
Given the function:
\(f(x)=\sin (3x)\)Let's find the function after differentiating it 68 times.
To differentiate, let's take the derivative.
First derivative:
\(\begin{gathered} f\text{'(x)= cos(}3x)\frac{d}{dx}(3x)_{} \\ \\ f^{\prime}(x)=3\cos (3x) \end{gathered}\)Second derivative:
Since 3 is the constant with respect to x, the derivative of 3cos(3x) with respect to x will be:
\(\begin{gathered} f^{\doubleprime}(x)=3\frac{d}{dx}(\cos (3x)) \\ \\ f^{\doubleprime}(x)=3(-\sin (3x)\frac{d}{dx}(3x)) \\ \\ f^{\doubleprime}(x)=-3\sin (3x)(3\frac{d}{dx}(x)) \\ \\ f^{\doubleprime}(x)=-9\sin (3x)\frac{d}{dx}(x) \\ \\ f^{\doubleprime}(x)=-3^2\sin (3x) \end{gathered}\)After the second differentiation, we have -sin, , the same will be applicable to the 68th time.
Therefore, for the 68th differentiation the exponent for the constant -3 will be 68.
\(f(x)=-3^{68}\sin (3x)\)Therefore, after differentiating the function 68 times, we have:
\(f(x)=-3^{68}\sin (3x)\)ANSWER:
\(f(x)=-3^{68}\sin (3x)\)when an arch is extended overhead into a half cylinder it is known as a
Answers
When an arch is extended overhead into a half cylinder, it is known as a barrel vault.
A barrel vault is a curved architectural structure that resembles the shape of a half-cylinder. It is created by placing a series of arches side by side, forming a continuous and uninterrupted vaulted ceiling. The term "barrel" refers to the resemblance of the vault to the shape of a barrel or a tunnel.
Barrel vaults have been used in architecture for centuries and are often found in historical buildings and structures. They provide a sturdy and durable construction method, distributing the weight of the ceiling evenly along the arches. This allows for the creation of large and open interior spaces without the need for additional support columns.
Barrel vaults are commonly used in churches, cathedrals, and other monumental structures, where they serve both functional and aesthetic purposes. The sweeping and graceful curves of the barrel vaults add a sense of grandeur and elegance to architectural designs, making them a popular choice in various architectural styles throughout history.
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Let F(x) be an antiderivative of (ln x)^3/x. If F(1) = 0, then F(9) =
a. .048
b. .144
c. 5.827
d. 23. 308
e. 1,640.250
Answers
the value of F(9) is approximately 23.308.
To find the value of F(9) given that F(x) is an antiderivative of (ln x)^3/x and F(1) = 0, we can use the fundamental theorem of calculus.
According to the fundamental theorem of calculus, if F(x) is an antiderivative of a function f(x), then:
∫[a,b] f(x) dx = F(b) - F(a)
Since F(1) = 0, we can write:
∫[1,9] (ln x)^3/x dx = F(9) - F(1)
To evaluate the integral, we can make a substitution:
Let u = ln x, then du = (1/x) dx
The integral becomes:
∫[ln 1, ln 9] u^3 du
Integrating u^3 with respect to u:
[(1/4)u^4] | [ln 1, ln 9] = (1/4)(ln 9)^4 - (1/4)(ln 1)^4
Since ln 1 = 0, we have:
(1/4)(ln 9)^4 - (1/4)(ln 1)^4 = (1/4)(ln 9)^4
Therefore, F(9) - F(1) = (1/4)(ln 9)^4
Since F(1) = 0, we can conclude that F(9) = (1/4)(ln 9)^4.
Calculating this value:
F(9) = (1/4)(ln 9)^4 ≈ 23.308
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