Write an expression that gives the area under the curve as a
limit. Use right endpoints. Curve: (x) = x2 from x = 0 to x = 1.
Do not attempt to evaluate the expression.
Answers
The area under curve given by a expression as a limit using right endpoints for curve y = \(x^{2}\) from x = 0 to x = 1 is:
A = lim(n→∞) ∑(i=1 to n) f(xi)Δx
To calculate the expression, we need to divide the interval [0, 1] into smaller subintervals.
Each subinterval will have a width of Δx = (1-0)/n = 1/n.
The right endpoint of each subinterval will be xi = iΔx = i/n, where i ranges from 1 to n. The function value at the right endpoint of each subinterval is \(f(xi) = (i/n)^2\).
Putting the values into the expression, we get:
A = lim(n→∞) ∑(i=1 to n)\([(i/n)^2 * (1/n)]\)
Where A represents the area under the curve, n is the number of subintervals, f(xi) represents the value of the function at the right endpoint of each subinterval, and Δx represents the width of each subinterval.
Therefore, the expression that gives the area under the curve as a limit using right endpoints is lim(n→∞) ∑(i=1 to n) \([(i/n)^2 * (1/n)].\)
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Related Questions
1.) If 2/5 of x is 20 what is 3/10 of x?
2.) if 2/3 of y is 24 what is 5/6 of y?
Answers
Answer:
1. 15 2. 30
Step-by-step explanation:
1. (2/5)x = 20
20/(2/5) = x
x = 50
50 × (3/10) = 15
2. (2/3)y = 24
24/(2/3) = y
y = 36
36 × (5/6) = 30
Help me with my homework please!
Answers
The values of the sides are;
11. SR = 25
12. RU = 25
13. SU = 35.4
14. Perimeter = 100 units
15. Area = 625 square units
How to determine the valueIt is important to note that a square have 4 equal sides and 4 equal angles.
From the information given, we have that;
Line SR = line RU
But we have that;
SR = 2k + 7
RU = 3k - 2
Equate the sides, we have;
2k + 7 = 3k - 2
collect the like terms
2k - 3k = - 2 - 7
subtract the terms
-k = - 9
k = 9
Then, SR =2(9) + 7 = 25
RU = 3(9) - 2 = 25
The line SU is the hypotenuse side
Using the Pythagorean theorem
SU² = 25² + 25²
SU² = 625 + 625
SU = √1250
SU = 35. 4
15. The perimeter of a square is expressed as;
Perimeter = 4a
Perimeter = 4(25)
Perimeter = 100 units
16. The area of a square is expressed as;
Area = a²
Area = 25²
Area = 625 square units
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A tutoring agency charges $20 for study materials, plus $40 an hour for tutoring. which function can be used to find the total cost T(h) of h hours of tutoring
Answers
Answer:
t(h)= 40h + 20
Step-by-step explanation:
hope this helps
Answer:
T(h) = 20 + 40h
Step-by-step explanation:
Alright, so let's start off.
No matter how many hours a person gets tutored for, there's always the $20 as a baseline for study materials. So, the $20 MUST be included in our equation, which looks like this for now:
T(h) = 20
Every hour, $40 is added onto the expense.
For example, if a person was tutored for two hours, it would cost them $20 + 2(40) = $100.
This can be signified in the equation as
T(h) = 20 + 40h
And, that's your equation! :)
which integer is seven units to the right of -4 ?
Answers
Answer:
3
Step-by-step explanation:
-4 plus 7 is 3
The Nunnally Company estimates that its overall WACC is 12%. However, the company's projects have different risks. Its CEO proposes that 12% should be used to evaluate all projects because the company obtains capital for all projects from the same sources. If the CEO's opinion is followed, which of the followings is likely to happen over time? Select one: a. The CEO's recommendation would maximize the firm's intrinsic value. ob. The company will take on too many low-risk projects and reject too many high-risk projects. The company will take on too many high-risk projects and reject too many low-risk projects. O d. Things will generally even out over time, and, therefore, the firm's risk should remain constant over time. O c.
Answers
If the CEO's recommendation of using a single WACC of 12% for all projects is followed, it is likely that the company will take on too many low-risk projects and reject too many high-risk projects.
The Weighted Average Cost of Capital (WACC) is the average rate of return required by investors to finance a company's projects. It represents the minimum return a project should generate to create value for the firm's shareholders. However, different projects may have different levels of risk associated with them.
If the CEO's recommendation of using a single WACC of 12% for all projects is implemented, it means that the company will evaluate all projects based on the same required rate of return, regardless of their individual risks. This approach fails to consider the varying risk levels of different projects.
As a result, the company is likely to take on too many low-risk projects and reject many high-risk projects. This is because the company will be using a single, lower required rate of return (12%) to evaluate all projects, which may not adequately account for the higher risks associated with certain projects.
By not appropriately considering the risk-return tradeoff, the company may miss out on potentially profitable high-risk projects and allocate resources to low-risk projects with lower potential returns. This can lead to suboptimal decision-making and may hinder the firm's ability to maximize its intrinsic value.
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Sanjay makes souvenir pyramids by pouring liquid into a pyramid-shaped mold. The mold he uses has a square base with a side length of 10\text{ cm}10 cm10, start text, space, c, m, end text, and the height of the mold is 10\text{ cm}10 cm10, start text, space, c, m, end text.
Answers
Sanjay makes souvenir pyramids by pouring liquid into a pyramid-shaped mold. The mold he uses has a square base with a side length of 10\text{ cm}10 cm10, start a text, space, c, m, end text, and the height of the mold is 10\text{ cm}10 cm10, start a text, space, c, m, end text. Sanjay wants to make a smaller pyramid using the same mold, so he plans to fill the mold 2\text{ cm}2 cm2, starts a text, space, c, m, and end text from the top. 170.67 is the approximate volume of this smaller pyramid.
170.67 is the approximate volume of this smaller pyramid
He would not have found souvenir pyramids or any supposed treasure in the room, only a huge granite sarcophagus in which the king's mummy had once rested firmly on the floor.
Incomplete questions please read below for full content.
Sanjay makes souvenir pyramids by pouring liquid into a pyramid-shaped mold. The mold he uses has a square base with a side length of 10\text{ cm}10 cm10, start a text, space, c, m, end text, and the height of the mold is 10\text{ cm}10 cm10, start a text, space, c, m, end text. Sanjay wants to make a smaller pyramid using the same mold, so he plans to fill the mold 2\text{ cm}2 cm2, starts a text, space, c, m, and end text from the top. What is the approximate volume of this smaller pyramid?
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According to recent data, women make up what percentage of workers in science and technology (STEM) fields in Canada and the United States, respectively?
A. 34% and 40%
B. 23% and 26%
C. 17% and 26%
D. 25% and 27%
E. 34% and 26%
Answers
According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. The correct option is A. 34% and 26%.
According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. This indicates that women are still underrepresented in STEM fields, despite the fact that there has been an effort to attract more women to STEM fields.
In both Canada and the United States, women have made significant progress in breaking down gender barriers in STEM fields. However, there is still work to be done to close the gender gap and increase representation of women in STEM fields.
Women's representation in STEM fields has increased in both Canada and the United States in recent years, but the percentage of women in STEM fields is still significantly lower than the percentage of men. More efforts are needed to close the gender gap in STEM fields and encourage more women to pursue STEM careers.
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the tribe is the oldest sociopolitical type; the tribe predates the state
Answers
The statement that "the tribe is the οldest sοciοpοlitical type; the tribe predates the state" is a widely accepted view in anthrοpοlοgy and archaeοlοgy.
What does the statement mean?It suggests that human sοcieties evοlved frοm smaller, kinship-based grοups knοwn as tribes befοre transitiοning tο larger, centralized fοrms οf pοlitical οrganizatiοn knοwn as states.
Tribes are characterized by a clοse-knit sοcial structure based οn kinship ties, with members sharing cοmmοn ancestry and οften living in smaller, decentralized cοmmunities. Tribal sοcieties typically have egalitarian sοcial structures, with leadership based οn kinship οr achieved status rather than fοrmal hierarchical systems.
As human sοcieties evοlved, sοme tribes eventually develοped intο states, which are characterized by centralized pοlitical authοrity, fοrmal legal systems, and defined territοrial bοundaries. States οften have mοre cοmplex sοcial hierarchies, specialized institutiοns, and a mοnοpοly οn the use οf fοrce.
The transitiοn frοm tribes tο states is believed tο have οccurred gradually οver thοusands οf years, as human pοpulatiοns grew and interactiοns between grοups increased. The emergence οf agriculture, surplus prοductiοn, and the need fοr larger-scale gοvernance are οften cited as factοrs cοntributing tο the develοpment οf states.
While the specific timeline and prοcesses οf this transitiοn are still subjects οf οngοing research and debate, it is generally accepted that tribal sοcieties predate the develοpment οf states in human histοry.
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The members of a cooking club are making cakes, which they will sell at a street fair for $8 apiece. It cost $30 for a booth at the fair, and the ingredients for each cake cost $2. At some point, the club members will sell enough cakes so that their sales cover their expenditures. How many cakes will they have sold?
Answers
They need to sell 5 pieces to cover their expenditures (have a profit of zero).
How many cakes will they have sold?
We know that the costs are:
$30 for the booth at the fair.$2 for each piece of cake they sell.And the revenue is:
$8 for each piece of cake.So, the profit (the difference between the revenue and the cost) for selling x pieces is:
p(x) = $8*x - $2*x - $30
p(x) = $6*x - $30
We want to find the value of x such that p(x) = 0, then:
0 = $6*x - $30
x = $30/$6 = 5
They need to sell 5 pieces to cover their expenditures (have a profit of zero).
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Radishes costs $5 per pound, and beet cost $1.25 per pound. Sasha has $20 to spend on these items to make a large salad for a potluck dinner. Let b be the number of pounds of beets Sasha buys and r be the number of pounds of radishes she buys when she spends all her money on this salad.
Answers
The equation will be 5r + 1.25b = 20. This represents the beef and radishes to buy.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
Radishes costs $5 per pound, and beet cost $1.25 per pound. Sasha has $20 to spend on these items to make a large salad for a potluck dinner.
Let b = number of pounds of beets Sasha buys.
Let r = number of pounds of radishes she buys when she spends all her money on this salad.
The equation will be 5r + 1.25b = 20
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Complete question
Radishes costs $5 per pound, and beet cost $1.25 per pound. Sasha has $20 to spend on these items to make a large salad for a potluck dinner. Let b be the number of pounds of beets Sasha buys and r be the number of pounds of radishes she buys when she spends all her money on this salad. Illustrate the equation
Find the median, mean, lower quartile, upper quartile, interquartile range, and sample standard
deviation for each data set. Which data set is the most consistent and how do you know?
1) Hits in a Round of Hacky Sack Median Mean Q1
Q3 IQR Stan Dev
18 5 8 5 8 19 13
6 12 13
I have more questions too
Answers
Answer:
5
Step-by-step explanation:
becaus ei dont know what that means
what’s the value for x
Answers
Answer:
53
Step-by-step explanation:
move 82 down next to (2x-8)
if 82+2x-8 is 180, x is 53
Answer:
2x-8=98
2x=106
×=53 is the right answer
Use an infinite series to approximate the number to three decimal places.1/3 e
Consider the given function.
f(x)=e-x=...
Answers
Using an infinite series approximation, we estimate the number 1/3 e to be approximately 0.239.
To approximate the number 1/3 e, we can use the Maclaurin series expansion of the function f(x) = \(e^x\), which is:
\(e^x = 1 + x + x^2/2! + x^3/3! + ...\)
Substituting x = -1/3, we have:
\(e^{(-1/3)} = 1 - 1/3 + 1/2(1/3)^2 - 1/3!(1/3)^3 + ...\)
Truncating the series after the third term, we get:
\(e^{(-1/3)\) ≈ 1 - 1/3 + 1/2(1/3)^2 = 0.716
Multiplying by 1/3, we have the approximate value:
1/3 e ≈ 0.239
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Simplify the expression... 0.04(0.7).
hi
Answers
Answer:
0.028
Step-by-step explanation:
Just multiply
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If DJL = EGS, which segment in EGS corresponds to DL?
Answers
Seventeen less than one-thrid of a number y.
Answers
Answer:
In the explanation. :)
Step-by-step explanation:
1/3x-17y
Hope this helps. Have a great day!
a triangle is the shape used to represent the components of total health. rue or false
Answers
A triangle is a shape used to represent the components of total health. True
Josiah has a loyalty card good for a discount at his local grocery store. The item he wants to buy is priced at $21, before discount and tax. After the discount, and before tax, the price is $18.27. Find the percent discount.
Answers
Answer:
13%
Step-by-step explanation:
21-18.27=2.73
2.73/21= 0.13
0.13 x 100=13%
Find the area of the triangle.
A.54
B.18
C.36
D.27
Answers
Answer:
B. 18
Step-by-step explanation:
Base: 3-(-6)=9
Height: 6-2=4
Area =1/2bh = 1/2(9)(4)= 18 square units
Danielle invests $25,000 in an account that compounds interest continuously and earns 9%. How long will it take for her money to triple? Round to the nearest tenth of a year.
Answers
Answer:
he will make 22.50
Step-by-step explanation:
The time required for the money to get tripled will be equal to 12.2 years.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
As per the given data,
Invested amount = $25000
Rate, R = 9% = 9/100 = 0.09
Time, t = t years.
After t years, amount will be triple = p × 3
= $25000 × 3 = $75000
Let in t years the money will be tripled.
Then total amount will be $75000.
Continuously compounded in formula,
A = Pe^rt
75000 = 25000 \(e^(0.09t)\)
75000/25000 = \(e^(^0^.^0^9^t^)\)
ln 3 = ln \(e^(^0^.^0^9^t^)\)
t = 12.206 or
Time is 12.2 years to money get triple.
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What is the 44th term of the sequence specified by the following closed form and range of values of n? a_n =4/n (n=1,2,3,...) n Give your answer as an exact number or fraction.
Answers
The 44th term of the sequence specified by the closed form \(a_n = \frac{4}{n}\) for \(n = 1, 2, 3, \ldots\) is \(\frac{1}{11}\).
The sequence specified by the closed form \(a_n = \frac{4}{n}\) for \(n = 1, 2, 3, \ldots\) is a harmonic sequence. To find the 44th term of this sequence, we substitute \(n = 44\) into the formula:
\(a_{44} = \frac{4}{44}\)
To simplify this fraction, we can find the greatest common divisor (GCD) of 4 and 44, which is 4. Dividing both the numerator and denominator by 4, we get:
\(a_{44} = \frac{1}{11}\)
Therefore, the 44th term of the sequence is \(\frac{1}{11}\).
A harmonic sequence is a sequence of the form \(a_n = \frac{1}{n}\), where the terms are obtained by taking the reciprocal of positive integers. In this case, we have a modified harmonic sequence with a constant term of 4 in the numerator.
Each term of the sequence is the reciprocal of the corresponding positive integer. For example, the first term is \(a_1 = \frac{4}{1} = 4\), the second term is \(a_2 = \frac{4}{2} = 2\), and so on. The general pattern is that the value of the term decreases as \(n\) increases.
As \(n\) increases, the terms get closer and closer to zero, but they never actually reach zero. The sequence approaches zero as the values of \(n\) get larger, but it never reaches zero for any finite \(n\).
In this case, we specifically need to find the 44th term of the sequence. By substituting \(n = 44\) into the formula, we find that the 44th term is \(\frac{1}{11}\).
Therefore, the 44th term of the sequence specified by the closed form \(a_n = \frac{4}{n}\) for \(n = 1, 2, 3, \ldots\) is \(\frac{1}{11}\).
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This question was confusing 15 for whoever answers
Answers
Answer:
Refer to the attached image. I'm not clear on one point. Yes, it is confusing.
Step-by-step explanation:
See attached image.
A car is traveling at a speed of 72 kilometers per hour. What is the cars speed in kilometers per minute? How many kilometers will the car travel in 10mins?
Answers
Answer:
1.2 kilometers per minute; 12 kilometers
Step-by-step explanation:
We know that 60 minutes makes 1 hour.
Therefore, to convert the speed to kilometers per minute, we simply divide 72 kilometers per hour by 60 minutes:
72 / 60 = 1.2 kilometers per minute.
Distance is given as speed multiplied by time.
Therefore, in 10 mins, the car travels:
1.2 * 10 = 12 kilometers.
According to the scale on a map, 1 inch : 12 miles. How many miles are represented by 1 and 1/2 inches on the map? Show work.
Answers
Answer:
1 1/2 inches on a map is 18 miles in real life.
Step-by-step explanation:
1 in. = 12 miles
1 1/2 in. = X
1 1/2 x 12 = 18
1 1/2 inches on a map is 18 miles in real life.
please help will give brainliest
On average, Carson spends $2 of his $20 monthly allowance on library fines. When creating a circle graph of what Carson does with his money, what fraction of the circle will represent the amount he spends on library fines?
Answers
Answer:
1/10 of the circle (36° central angle).
Step-by-step explanation:
2/20 = 1/10
A circle has 360 degrees, so the central angle will be 1/10 × 360° = 36°.
How to write 10^4 in expanded form
Answers
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
10 x 10 x 10 x 10
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
What the midpoint of AB if A is (8, -7) B(-4, 7)
Answers
Answer:
(2,0)
Step-by-step explanation:
-hope it helps
What is the answer to this I need an answer please asap! 3x − 4/5= −1/2?
Answers
Answer:
x = 1/10
Step-by-step explanation:
3x - 4/5 = -1/2
-1/2 + 4/5 =
-5/10 + 8/10 =
3/10
3x = 3/10
x = 1/10
What is the value of b2 4ac for the following equation x2 5x 4 0 16 25 9 next question?
Answers
The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.
What is the discriminant of a polynomial?
The discriminant of a polynomial is a function of its coefficients and is represented by the capital ‘D’ or Delta symbol (Δ). It shows the nature of the roots of any quadratic equations where a, b, and c are real numbers.
It is represented as ‘D’
D = b² - 4ac
Where,
a is the coefficient of x²
b is the coefficient of x
c is a constant term
x² + 5x + 4 = 0
We have given:
x² + 5x + 4 = 0
Comparing the equation with the standard form.
a = 1, b = 5 and c = 4
Substituting it in the formula
D = 5² - 4 × 1 + 4
By further calculation
D = 25 - 16
D = 9,
The quadratic roots are real and distinct
Therefore, the value of b² - 4ac is 9.
Hence, The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.
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Describe fully the single transformation that maps shape A onto shape B.
Answers
Answer: Reflection over 2, on the X axis's
Step-by-step explanation: The half line between the two shapes can be used a line of reelection, by doing so your flipping A to B