The boundary of S is the unit circle C in the (x, y) plane with equation x² + y² = 1, which we can parameterize by
r(t) = x(t) i + y(t) j + z(t) k
with 0 ≤ t ≤ 2π, where
x(t) = cos(t)
y(t) = sin(t)
z(t) = 0
so that
dr = (dx/dt i + dy/dt j + dz/dt k) dt = (sin(t) i - cos(t) j) dt
By Stokes' theorem, the surface integral of the curl of F across S is equal to the line integral of F along C :
[tex]\displaystyle \iint_S \mathrm{curl} F \cdot d\vec s = \int_C \vec F \cdot d\vec r[/tex]
We have
[tex]\vec F(x(t), y(t), z(t)) = \sin^2(t) \, \vec\jmath + \sin(t) \cos(t) \, \vec k[/tex]
[tex]\implies \vec F \cdot d\vec r = -\sin^2(t)\cos(t) \, dt[/tex]
so the line integral is
[tex]\displaystyle \int_C \vec F \cdot d\vec r = - \int_0^{2\pi} \sin^2(t) \cos(t) \, dt[/tex]
Substitute u = sin(t) and du = cos(t) dt :
[tex]\displaystyle \int_C \vec F \cdot d\vec r = - \int_0^0 u^2 \, du = \boxed{0}[/tex]
Which expressions are equivalent to ? select two options.
Answer:
I THINK 43('_) AND 34
Explanation:
Maria, age 28, wants to pay no more than $300 a year in life insurance. What is the face value of the largest 20-year term policy she can buy without spending more than $300 annually? Annual life insurance premium (per 1,000 dollars of face value) for age 28. A 10-year term for female is 1. 28, 15 year term for female is 1. 54, 20 year term for female is 1. 89, and whole life for female is 9. 46. A. $234,000 b. $158,000 c. $11,000 d. $567,000 Please select the best answer from the choices provided A B C D.
Answer:
B
Explanation:
The face value of the largest 20-year term policy that Maria, age 28, can buy without spending more than $300 premium annually is b. $158,000.
Data and Calculations:Expected annual premium payable = $300
Term period = 20 years
Annual life insurance premium (per 1,000 dollars of face value) for age 28 are as follows:
A 10-year term for female is 1.28,
15 year term for female is 1.54
20 year term for female is 1.89
Whole life for female is 9. 46
Annual Premium = Premium Rate/$1,000 x Face Value
Face Value = Annual Premium/Premium Rate x $1,000
Face Value = $158,730 ($300/$1.89 x $1,000)
Thus, the face value of the largest 20-year term policy that Maria, age 28, can buy without spending more than $300 premium annually is b. $158,000.
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A swim club is designing a new pool to replace its old pool. The new pool would need to last for 10 years since the club is planning on relocating after 10 years. A concrete shell would cost rm85,000 and last for all 10 years. Another option is to install a vinyl liner that would cost only rm70,000 to install. However, the vinyl is not guaranteed to last for all 10 years, and it has a 40% chance of breaking down. Repair of the vinyl would cost rm40,000 and would extend the life of the vinyl liner to the 10-year mark. If both options are acceptable to the swim club, which one minimizes cost?.
If both options are acceptable to the swim club, the one that minimizes cost is concrete shell.
In order to determine the option minimizes cost we are going to calculate EMV of vinyl liner:
EMV of vinyl liner=(1-.40)(70,000) + 0.40(70,000+40,000)
EMV of vinyl liner=.60(70,000) + 0.40(110,000)
EMV of vinyl liner=42,000+44,000
EMV of vinyl liner= $86,000
Based on the above calculation EMV of vinyl liner of the amount of $86,000 is higher than EMV of concrete shell of the amount of $85,000.
Therefore swim club should install the concrete shell in order to minimize cost because it is lesser.
Inconclusion the option that minimizes cost is concrete shell.
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Using the equations 2 sr(s) + o₂ (g) → 2 sro (s) ∆h° = -1184 kj/mol co₂ (g) → c (s) + o₂ (g) ∆h° = 394 kj/mol determine the molar enthalpy (in kj/mol) for the reaction c(s) + 2 sro(s) → co₂ (g) + 2 sr(s).
Considering the Hess's Law, the enthalpy change for the reaction is 790 kJ/mol.
Hess's Law indicates that the enthalpy change in a chemical reaction is the sum of the ∆H of each stage of the reaction will give us a value equal to the ∆H of the reaction when it occurs in a single stage.
In this case you want to calculate the enthalpy change of:
C(s) + 2 SrO(s) → CO₂ (g) + 2 Sr(s)
You know the following reactions, with their corresponding enthalpies:
Equation 1: 2 Sr (s) + O₂ (g) → 2 SrO (s) ∆H° = -1184 kJ/mol
Equation 2: CO₂ (g) → C (s) + O₂ (g) ∆H° = 394 kJ/mol
First stepIn this case, first, to obtain the enthalpy of the desired chemical reaction you need 1 mole of C (s) on reactant side and it is present in second equation. But since this equation has 1 mole of C (s) on the product side, it is necessary to locate this on the reactant side (invert the reaction). And when an equation is inverted, the sign of ΔH also changes.
Second stepNow, 2 moles of SrO (s) must be a reactant and is present in the first equation. Since this equation has 2 moles of Sr0 (s) on the product side, it is necessary to locate the O on the reactant side (invert the reaction) and the sign of ΔH changes.
SummaryIn summary, you know that two equations with their corresponding enthalpies are:
Equation 1: 2 SrO (s) → 2 Sr (s) + O₂ (g) ∆H° = 1184 kJ/mol
Equation 2: C (s) + O₂ (g) → CO₂ (g) ∆H° = -394 kJ/mol
Adding or canceling the reactants and products as appropriate, and adding the enthalpies algebraically, you obtain:
C(s) + 2 SrO(s) → CO₂ (g) + 2 Sr(s) ΔH= 790 kJ/mol
Finally, the enthalpy change for the reaction is 790 kJ/mol.
Learn more:
brainly.com/question/5976752?referrer=searchResults brainly.com/question/13707449?referrer=searchResults brainly.com/question/13707449?referrer=searchResults brainly.com/question/6263007?referrer=searchResults brainly.com/question/14641878?referrer=searchResults brainly.com/question/2912965?referrer=searchResultsWhat is the main conflict described in this excerpt?clover feels unhappy and is unsure about whether or not to rebel against animal farm. Clover experiences distress because her beliefs go against what old major taught her. Clover feels frustrated at what has happened at the farm and at her inability to stop it. Clover experiences remorse and regrets not living her dreams before she dies.
The main idea of a passage tell you the key idea the passage is passing across. The main conflict described in this excerpt is that Clover feels frustrated at what has happened at the farm and at her inability to stop it.
The conflict of Animal Farm began from when the animals had the desire for freedom and equality and it was corrupted by the consolidation of political power within the pigs.
Clover was a character in George Orwell's book called the Animal Farm. It often worry over all of the animals.Learn more from
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Answer: it’s C
Explanation:
What is the combined length of all the buttons longer.
Answer:
4 leght the button is 3 length
Explanation:
if you don't understand here's my link
https//com. ph
Shahrul and his managers are discussing the unemployment, inflation, and interest-rate trends that might affect their chain of sandwich shops over the next 12 months and the projected growth in the areas where the stores are located. The managers are studying the ________ forces in their organization's general environment.
Organizational issues or factors which relates to employment, interest rates, growth and other related factors describes economic forces.
Economic forces or concepts directly affects the revenue and growth of an institution or organization. Interest rates, inflation are directly responsible for the revenue generated by an institution. Hence, the concept the managers are studying has to do with the economic forces of the organization.Learn more : https://brainly.com/question/25682948
I hosted a birthday party last sunday and the guests ______ havoc on my house!.
Answer:
I hosted a birthday party last sunday and the guests wreaked hovoc on my house!
A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x 2) cm. A solid oblique pyramid has a square base with edges measuring x centimeters. The height is (x 2) centimeters. Which expression represents the volume of the pyramid? StartFraction x cubed 2 x squared Over 3 EndFraction cm3 StartFraction x squared 2 x squared Over 2 EndFraction cm3 StartFraction x cubed Over 3 EndFraction cm3 StartFraction x cubed 2 x squared Over 2 EndFraction cm3.
Answer:
a
Explanation:
What equation is graphed in this figure? y−4=−13(x+2) y−3=13(x+1) y+2=−3(x−1) y−5=3(x−1).
An equation that is graphed in this figure include the following: D. y - 5 = 3(x - 1).
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation:
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (5 - 2)/(1 - 0)
Slope (m) = 3/1
Slope (m) = 3
At data point (1, 5), a linear equation in slope-intercept form for this line can be calculated as follows:
y - y₁ = m(x - x₁)
y - 5 = 3(x - 1)
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Complete Question:
What equation is graphed in this figure?
y − 4 = −1/3 (x + 2)
y − 3 = 1/3 (x + 1)
y + 2 = −3 (x − 1)
y − 5 = 3 (x − 1)
A hemisphere of radius 8 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maximum volume.
The dimensions of the cylinder that has the maximum volume can be
found be finding the maximum value of the volume function.
[tex]\mathrm{The \ \underline{height \ of \ the \ cylinder \ of \ maximum \ volume \ is \ \dfrac{8}{\sqrt{3} }}}[/tex][tex]\mathrm{The \ \underline{radius \ of \ the \ cylinder \ of \ maximum \ volume \ is \ \dfrac{8 \cdot \sqrt{6} }{3}}}[/tex]Reasons:
The known parameter of the hemisphere are;
The radius of the hemisphere = 8
Required;
The radius and height of the maximum volume of the inscribed cylinder.
Solution:
Let h represent the height of the cylinder, and let r represent the radius of
the cylinder, we have;
r² + h² = 8²
Therefore;
r² = 8² - h² = 64 - h²
r² = 64 - h²
The volume of the cylinder, V = π·r²·h = π·(64 - h²)·h
V(h) = π·(64·h - h³)
At the maximum volume, we have;
[tex]\dfrac{dV(h)}{dh} = \dfrac{d}{dh} \left(\pi \cdot \left(64 \cdot h - h^3 \right) \right) = \pi \cdot \left(64 - 3 \cdot h^2 \right) = 0[/tex]
64 - 3·h² = 0
64 = 3·h²
[tex]h =\sqrt{\dfrac{64}{3} } = \dfrac{8}{\sqrt{3} }[/tex]
[tex]\underline{\mathrm{The \ height \ of \ the \ cylinder, \ h} = \dfrac{8}{\sqrt{3} }}[/tex]
[tex]r^2 = 64 - \dfrac{64}{3} = \dfrac{128}{3}[/tex]
[tex]r =\sqrt{\dfrac{128}{3}} = \dfrac{8 \cdot \sqrt{6} }{3}[/tex]
[tex]\underline{\mathrm{The \ radius \ of \ the \ cylinder, \ } r = \dfrac{8 \cdot \sqrt{6} }{3}}[/tex]
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At which point or points does the pendulum have the greatest kinetic energy? A only B only C only both A and C.
Answer:
answer is b only
Explanation:
Answer:
b
Explanation:
What are three advantages of digital x-rays over film.
Answer:
Digital x-rays require less time, reduce radiation, and are cheaper.
:)
What is the main purpose of the concluding paragraph.
Answer:
to summarize, wrap up and put a end to a text or essay.
Explanation:
Kevin, while calculating his tax adjustments, notes that he can make adjustments of $3,435 for contributions to his retirement plan, $3,393 for business losses, and $1,128 for business expenses. If Kevin’s gross income is $45,942, what is his adjusted gross income? a. $53,898 b. $40,242 c. $41,421 d. $37,986 Please select the best answer from the choices provided A B C D.
Answer:
d. $37,986
Explanation:
Answer: D
Explanation:
jus took test
Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y = 10 3. 5x Shop Dorian used: y = 6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental? $.
Answer:
They both rented the bikes for 4 hours and paid $24.
Explanation:
An equilibrium mixture contains 0. 600 mol of each of the products (carbon dioxide and hydrogen gas) and 0. 200 mol of each of the reactants (carbon monoxide and water vapor) in a 1. 00 l container. Co(g)+h2o(g)↽−−⇀co2(g)+h2(g) how many moles of carbon dioxide would have to be added at constant temperature and volume to increase the amount of carbon monoxide to 0. 300 mol once equilibrium has been reestablished?.
Answer:
thanks po
Explanation:
yes po thanks salamat kamsamhida arigato
Choose the best Spanish word to complete the sentence. Alan y Enrique __________ amigos. Es están son está.
Answer:
Son
Explanation:
Just got 100%, but further explanation: Es and esta are both easy to rule out, as neither of them refers to "they" (Alan y Enrique), and estan does not work because of the weird rules. Tbh I feel like you just have to memorize them except in some cases where one just clearly makes more sense than the other.
Answer: Pick answer C: "son"
Which of the following statements is true about the 1920s?.
Answer: a
Explanation:
Answer:
B
Explanation:
Which of the following would not be considered a characteristic of communism.
Which detective seems to have more clues about solving the case? Bolsa Sancho.
Answer:
sancho
Explanation:
answers for the whole quiz -
1. true
2. false
3. a parrot
4. while he was hiding out
5. sancho
YOURE WELCOME
Sancho's detective seems to have more clues about solving the case. Thus option B is correct.
Who is a detective?Detectives are typically investigative people, which implies that they are extremely inquiring and curious people who enjoy spending time by themselves thinking. An investigator who works for a law enforcement agency is known as a detective.
Talking to witnesses and whistleblowers, gathering tangible evidence, reviewing databases, and interviewing sources are all common ways that investigators get information to solve crimes.
You've come to the right place if you're seeking for the Sancho from a Cervantes narrative crossword clue answers. Please double-check that you have the right answer or clue because it's common for crossword puzzles with similar clues to have disparate solutions. As a result, they are able to apprehend offenders and prosecute them at court. Therefore, option B is the correct option.
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Consider the two male oryx that are shown below. Mc005-1. Jpg Which of Charles Darwin’s main points is depicted in the image? Organisms within a population compete with each other to survive. Over time, beneficial variations will be passed on to future generations. More offspring are produced than can be supported by an environment. All organisms within a population have an equal chance for survival.
Answer:
option B
Explanation:
Answer:
B
Explanation: is the best answer
According to the hydrologic cycle, once precipitation has fallen on land, what paths might the water directly take?.
Answer:
What trajectories may precipitation travel after it falls on land? It either soaks into the earth through infiltration, pours over the surface as runoff, or evaporates instantly.
Explanation:
A probe orbiting venus exerts a gravitational force of 2. 58 × 103 n on venus. Venus has a mass of 4. 87 × 1024 kg. The mass of the probe is 655 kilograms. The gravitational constant is 6. 67 × 10-11 n*m2/kg2. To three significant digits, the probe is × 106 m from the center of venus.
Answer:
[tex]\mathrm{9.08 \times 10^6 \:km}[/tex]
Explanation:
To solve for the distance between the probe and the center of Venus, use the formula:
[tex]\mathrm{F = \frac{G\: m1 \:m2}{r^2}}[/tex]
Plugin the values:
G =
[tex]6.67\times10^{-11} \mathrm{\frac{m3}{kg\: s2}}[/tex]
[tex]\mathrm{F} =2.58 \times 10^3\mathrm{N}[/tex]
[tex]\mathrm{m1 = 4.87 \times 10^{24}\:kg}[/tex]
[tex]\mathrm{m2 = 655\: kg}[/tex]
Hence:
[tex]\mathrm{F = \frac{G\: m1 \:m2}{r^2}}[/tex]
[tex]2.58 \times 10^{23} = 6.67 \times 10^{-11} (4.87 \times 10^{24})[/tex]
[tex]\frac{(655)}{r^2}[/tex]
[tex]\mathrm{r = 9.08 \times 10^6 \:km}[/tex]
Margaret needs to compare the types of themes from the four books in her American Literature class. She should use a ____________to match the themes with the stories. A. Timeline c. Either of these b. Chart d. Neither of these Please select the best answer from the choices provided A B C D.
Answer:
b. Chart
Explanation:
In the American Literature class, she should use a Chart to match the themes with the stories.
What is a literature class?The literature class is known to be a class where there is the reading, writing and also the discussing, about literature texts and also ideas.
Conclusively, In the American Literature class, by using a Chart to match the themes with the stories, one can be able to see how the stories matches and be able to remember them.
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Complete the following equations (note that the equations are not balanced). Use the activity series if necessary. An activity series, listed as most reactive to least reactive: Upper L i, Upper K, Upper B a, Upper S r, Upper C a, Upper N a, Upper M g, Upper A l, Upper M n, Upper Z n, Upper C r, Upper F e, Upper C d, Upper C o, Upper N i, Upper S n, Upper P b, Upper H, Upper S b, Upper B i, Upper C u, Upper A g, Upper P d, Upper H g, Upper P t, Upper A u. Al AgCl Upper N a upper C l subscript 2 right arrow. ? AlAg3 Cl2 AlCl3 Ag no reaction AlCl Cl.
Answer :AlAg3 + Cl2
Explanation:
Al + AgCl Upper N a upper C l subscript 2 right arrow. ?
The complete chemical equation would be as follows:
[tex]AlAg_{3} + Cl_{2}[/tex]
Chemical equation is described as the representation or display of a chemical reaction in the form of chemical symbols or system.In the given equation, the subscript followed by AlAg3 by an upper C l subscript with 2. This will produce the reaction i.e. "[tex]AlAg_{3} + Cl_{2}[/tex]."
Thus, the complete equation would read as "[tex]AlAg_{3} + Cl_{2}[/tex]."
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Two uniform solid balls are rolling without slipping at a constant speed.
How many square feet of glass are needed to cover the skywalk floor? (round your final answer to 1 decimal place and any intermediate calculations to 2 decimal places. Be sure to include units. ).
The area of the skywalk floor is the amount of space it occupies
The area of the skywalk floor is 1728.1 square feet
From the complete question, we have the following parameters
The outer diameter is 65 feet
This is represented as: [tex]\mathbf{d_2 = 65}[/tex]
The inner diameter is calculated as follows:
[tex]\mathbf{d_1 = 65 - 2 * 10}[/tex]
[tex]\mathbf{d_1 = 45}[/tex]
So, the area of the skywalk floor is the difference between the areas of the two semicircles.
This is represented as:
[tex]\mathbf{Area = \frac{\pi d_2^2}{4} - \frac{\pi d_1^2}{4}}[/tex]
Rewrite as:
[tex]\mathbf{Area = \frac{\pi}{4}(d_2^2 - d_1^2)}[/tex]
So, we have:
[tex]\mathbf{Area = \frac{3.142}{4}(65^2 - 45^2)}[/tex]
[tex]\mathbf{Area = \frac{3.142}{4}(2200)}[/tex]
Simplify
[tex]\mathbf{Area = 3.142 \times 550}[/tex]
[tex]\mathbf{Area = 1728.1}[/tex]
Hence, the area of the skywalk floor is 1728.1 square feet
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Aria paid $75,000 for her house. Its property value increased by 2. 2% per year. When aria sold her house after eleven years, how much was it worth, to the nearest hundred dollars? a. $133,700 b. $95,400 c. $95,300 d. $93,100.
Answer:
$95,300. C
Explanation:
Answer:
answer is C
Explanation:
Like strain theory, control theory explains deviance as a natural occurrence. Please select the best answer from the choices provided T F.
Answer:
True
Explanation:
Answer:
True
Explanation:
As on Edu 2022