If F(x, y, z) = i + sin(z) j + y cos(z) k is conservative, then there exists a scalar function f(x, y, z) such that grad(f) = F, which means
∂f/∂x = 1
∂f/∂y = sin(z)
∂f/∂z = y cos(z)
Integrating each each of these equations gives
∫ ∂f/∂x dx = ∫ dx ⇒ f(x, y, z) = x + α(y, z)
∫ ∂f/∂y dy = ∫ sin(z) dy ⇒ f(x, y, z) = y sin(z) + β(x, z)
∫ ∂f/∂z dx = ∫ y cos(z) dz ⇒ f(x, y, z) = y sin(z) + γ(x, y)
It follows that α(y, z) = y sin(z) and β(x, z) + γ(x, y) = x + C where C is a constant. So
f(x, y, z) = x + y sin(z) + C
and F is indeed conservative.
Oxygen dissolved in bodies of water make it suitable for aquatic life. Which of the following best describes dissolved oxygen?.
Dissolved oxygen is found in water bodies.
In the aquatic environment, organisms use their gills to perform gaseous exchange. Oxygen dissolves in water and is taken in by these aquatic organisms.
We must note that the dissolution of gases in water is an exothermic process hence the dissolution of oxygen in water occurs at decreased temperatures. Also, a high organic load in water decreases the amount of dissolved oxygen in water.
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A manufacturer of cell phone screens has found that 5 percent of all screens produced have defects. Let pd represent the population proportion of all cell phone screens with a screen defect, therefore pd=0. 5. For the sampling distribution of the sample proportion of cell phone screens from this manufacturer with a screen defect for sample size 400, μpˆd=0. 5. Which of the following is the best interpretation of μpˆd=0. 05 ?.
Answer:
For all samples of size 400 from this population, the mean of all resulting sample proportions of cell phone screens with a screen defect is 0.05.
Explanation:
Four students in ms. Alton's class shared the correlation coefficients derived from their data as follows: student a: r = –0. 87 student b: r = –0. 78 student c: r = 0. 79 student d: r = 0. 86 whose data had the strongest correlation? student a student b student c student d.
Considering the situation described above, the strongest correlation data is the "student a: r = –0. 87."
The correlation of variable is defined to be the strong correlation when the r-value is closer to +1 or -1.
Given that from the available options the r-value that is closer to +1 or -1 is that of student A which has -0.87, therefore, it is concluded that the Student A data had the strongest correlation.
Hence, in this case, it is concluded that the correct answer is option A. "Student A."
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A student randomly draws a card from a standard deck and checks.
What's the correct entry to record a tool purchase of $500?.
The correct entry to record a tool purchase of $500 is Debt tools expense $500, Credit cash $500
From the complete question, the purchase price is given as:
Greater than $1000
The above entry would be recorded as follows:
Debt tools Credit cash.For each entry, the amount is one-half of the amount of the tool purchase In other words, the half of $1000 ($500)
Hence, the correct entry to record a tool purchase of $500 is Debt tools expense $500, Credit cash $500
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Three whole numbers are each rounded to the nearest 10.
Answer:
Try 10,20 and 30
Explanation:
A fundraising organization will donate $250 plus half of the money it raises from a charity event. Use this information to answer the following question: what is the independent variable?.
Which of the following statements are true about implementing corporate change?.
The statements that are true about implementing corporate change are that:
Managers must face the need for change and the opportunity to create change.Organizations need more change leadership.You did not provide the options so I gave the correct options to two similar questions.
In order for change to be implemented in an organization, managers need to be at the forefront of it as this would then inspire their subordinates.
For this to happen, they must first be aware of the need to change and the opportunities that allow for it. This is what is meant by organizations needing more change leadership. If the leaders can see change and implement it, the company will follow.
In conclusion, implementing corporate change needs change leadership.
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Which steps are part of the process of citing supporting details? select four options.
Explanation:
finding repeated words and phrases
determining the central idea
writing a summary of the text
looking for facts and examples
considering all the evidence
including only the minor details
answer
why is the standard deviation preferable to the range as a measure of variation?
Answer:
Explanation:
The standard deviation is preferable to the range as a measure of variation because the standard deviation takes into account all of the observations, whereas the range considers only the largest and smallest ones.
Match the words on the left with their definitions on the right you may use a dictionary.
Answer:
There is no words?
Explanation:
Okay? You okay?
On fridays, he prepares the weekly financial summaries for his supervisor and followed up on any outstanding invoices.
With regards to whether there is a grammatical error in the above sentence, the answer is Yes, there is.
In the above sentence:
The adjective, "prepares" is used for present tense clauses. The adjective, "followed" is used for past tense clauses.There are therefore two different clauses being used in this one sentence which would mean there is a grammatical error as only one clause should be used.
In conclusion, there is a grammatical error.
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Based on the prompt what is your purpose for writing.
Based on the prompt, my purpose for writing is: B. to describe the most important ideas in Swift’s essay and explain his reason for writing.
The prompt is a requirement that asks us to summarize A Modest Proposal by Jonathan Swift and identify his purpose for writing.
The question basically asks us to describe the main ideas in this text and identify the main reason why he wrote the text.
So, Option B is correct.
Here is the complete question:
Prompt: Write a paragraph that objectively summarizes Jonathan Swift’s "A Modest Proposal" and explains his purpose. Based on the prompt, what is your purpose for writing?
to inform readers about eighteenth-century Ireland
to describe the most important ideas in Swift’s essay and explain his reason for writing
to make an argument about whether or not satire is effective
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Answer:
B is the answer
Explanation:
Which of the following is a good practice for protecting computing devices.
A good practice for protecting computing devices is to: ensure your antivirus and other software are kept up-to-date.
Computing can be defined as a process that typically involves the use of computer hardware and software to manage, process and transmit data in order to successfully complete a goal-oriented task.
In Computer science, some examples of a computing device include the following:
KeyboardCentral processing unit (CPU)MonitorRouterGenerally, a good practice for protecting computing devices is to ensure your antivirus and other software are kept up-to-date. Thus, you shouldn't use an outdated software application on your computing devices.
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what effect does the tone of the excerpt have on the reader? it fosters a belief that the narrator is unreliable. it produces a contradictory urge to stop reading and to continue. it inspires confidence that everything will work out fine in the end. it encourages surprising delight in blood and gore.
Answer: option b it produces a contradictory urge to stop reading and to continue
Explanation:
Hope this helps
The correct response is - Option B results in a conflicting impulse to quit reading and to continue, which is the B answer.
What is an Impulse?In classical mechanics, the integral of both a force, F, over the time period over which it acts, t, is referred to as the "impulse." Impulse is a vector quantity since force is one as well. When an item receives an impulse, its linear momentum likewise changes in the opposite direction in an analogous vector.
The impulse function is a very brief pulse that can theoretically never end that is used to assess system dynamics. An impulse function in the real world is a pulse that is substantially shorter than the system's temporal response.
In physics, the term "impulse" is used to characterize or measure the impact of force operating gradually to alter an object's motion. The letter J stands for it, and is typically expressed in Newton-seconds
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The aachen gospels of otto the third manuscript. Christ is washing his apostles feet in front of a large building. The aachen gospels of otto iii, part of which is shown above, is an example of what kind of manuscript?.
Answer:
It is an Ottonian manuscript. It produced magnificent medieval illuminated manuscripts and it is about religion. They were a major art form of the time, and monasteries received direct sponsorship from emperors and bishops, having the best in equipment and talent available. The range of heavily illuminated texts was very largely restricted (unlike in the Carolingian Renaissance) to the main liturgical books, with very few secular works being so treated.
Explanation:
Answer:
An Ottonian manuscript.
Explanation:
Edge 2022
What is the central idea of this passage sundays are days of rest and ceremony on the farm.
Answer:
A
Explanation:
Juanita wants to perform row operations on the augmented matrix for the system below.
Answer:B
Explanation: right on edge
Complete the table by dragging the correct sequence or formula to the correct container.
There are a lot of functions in mathematics. The answers are:
Arithmetic are: 3, 8, 13, 18,... , 4, 8, 12, 16,...Geometric are : 4, 8, 12, 16,... , 2,6, 18, 54,...Neither Arithmetic nor Geometric are: 5, 10, 20, 30,...Arithmetic sequenceAn arithmetic sequence is known to be a type of sequence that progresses through addition while a geometric sequence is one that progresses upward by multiplication.
3, 8, 13, 18.. is an addition so it is arithmetic sequence because you have to add 5 constantly to find the next term.
5, 10, 20, 40,... is multiplication and so it is geometric because you multiply the previous term by a factor of 2 each time to find the next term of the sequence.
5, 10, 20, 30,... is neither both as it does not follow the ways set by the rules of geometric or arithmetic sequences.
See full question below
Drag each sequence to the correct location on the table.
Consider the given sequences. Place each sequence in the appropriate column in the table
3, 8, 13, 18,..
5, 10, 20, 40,...
2,6, 18, 54,...
5, 10, 20, 30,...
4, 8, 12, 16,...
Arithmetic
Geometric
Neither Arithmetic nor Geometric
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If the tax rate on homes in topeka, kansas is 3 percent of their value and bonnie owns a $100,000 house, how much will the real estate taxes add to her monthly mortgage payment?.
Answer:250
Explanation: 100000x.03=3000
3000/12=250
The real estate taxes will add $2500 to her monthly mortgage payment.
What is a monthly mortgage payment?A monthly mortgage payment is an amount paid monthly for a particular mortgage. The way this is calculated is by determining the value of the mortgage and the tax attached to it, divided by 12 months.
From the given information;
The value of Bonnies House = $100,000The tax rate = 3%The yearly tax rate on the mortgage = 0.3 × 100,000
= $30,000
The monthly mortgage payment on the yearly tax rate is:
= $30,000/12
= $2500
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Which shows the correct values for the variables in the table? a = 18, b = 34, c = 65 a = 34, b = 18, c = 68 a = 34, b = 68, c = 47 a = 47, b = 18, c = 68.
The values of a, b, and c from the table are 34, 18, and 68 respectively.
From the given table, the following equations are true;
number of subscribers above $25000 + number of those not subscribing above $25000 = 47Set theorySubstituting the values:
a + 13 = 47
a = 47 - 13
a = 34
Similarly;
b + 55 = 73
b = 73 - 55
b = 18
Also, c = 13 + 55
c = 68
Hence the values of a, b, and c from the table are 34, 18, and 68 respectively.
Missing part of the question
A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.
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Which of the following is an example of a job surplus.
Answer:
The demand for roofers is higher than the number off people willing to do roofing
An example of a job surplus is the demand for roofers is higher than the number of people willing to do roofing. Option A
How to determine the exampleA job surplus refers to a situation in the job market where there are more available workers or job seekers than there are job openings or positions available. In other words, it's a condition where the supply of labor exceeds the demand for it in a particular field or industry.
'The demand for roofers is higher than the number of people willing to do roofing', illustrates a scenario of job surplus. This means that there are more roofing job opportunities available than there are individuals who are willing to take up the job of being a roofer.
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The complete question:
Which of the following is an example of a job surplus? (1 point)
The demand for roofers is higher than the number of people willing to do roofing.**
Roofers demand more pay for the work they are doing.
The number of roofers is higher than the roofing jobs available.
There are more roofing materials being manufactured than there are houses that need them.
Which of the following statements is not true about owners' equity?.
An elevator in a hotel starts at ground level. It rapidly moves up to the third floor, where it stops to unload passengers. The elevator then descends to the basement at a slower speed than before.
The graph correctly represents the story illustrated in the graph.
From the given graph, from the ground floor to the third floor is a rapid acceleration.
During the unload at the third floor, the velocity was constant until all the passengers was unloaded.
The deceleration of the elevator was slower than the acceleration because it occurred at a longer time.
Thus, we can conclude that the graph correctly represents the story illustrated in the graph.
The complete question is below:
An elevator in a hotel starts at ground level. It rapidly moves up to the third floor, where it stops to unload passengers. The elevator then descends to the basement at a slower speed than before. identify whether or not the graph correctly represents the story. Explain your answer.
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if tu = 6 units, what must be true? su + ut = rt rt + tu = rs rs + su = ru tu + us = rs
Answer:
Explanation:
If TU=6 then SU+UT= RT
Amy is thinking of a number that is 2 times the value of jake's number.
Answer:
4
Explanation:
This could be anything, we don't know jakes number?
An atom with the electron configuration 2-8-2 would most likely.
mangnesium is the element with that electronic configuration
Which of the following is a complex sentence weegy.
Answer:
as expected she showed up late
Explanation:
The complex sentence is As I expected, she showed up late. Thus, option (A) is correct.
A complex sentence consists of an independent clause expressing a complete idea and one or more dependent clauses relying on another clause. Typically, a subordinating conjunction (like "because," "if," "as," "after") links these clauses.
Therefore, among the given options, the only complex sentence is "As I expected, she showed up late," containing an independent clause ("she showed up late"), a dependent clause ("As I expected"), and the subordinating conjunction "As," which is common in complex sentences.
Thus, option (A) is correct.
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The question attached seems to be incomplete, the complete question is
Which of the following is a complex sentence?
A. As I expected, she showed up late.
B. Mark wanted blueberry pie and vanilla ice cream.
C. Sue gave Jim a new racket, and he left for the tennis courts.
D. Eileen bought pants but not a new jacket.
Elementary school children are in the operational stage of development.
Answer:
The answer is concreate
Explanation:
Hope it helps
The perimeter of the figure below is 113.7 cm.
Find the length of the missing side.
The length of the missing side it 8.8.
Explanation:Since we know the equation, we can find the missing side.
=> 113.7 = 38.2 + 2(7.9) + 19.1 + 3(10.6) + x
=> 113.7 = 38.2 + 15.8 + 19.1 + 31.8 + x
=> 113.7 = 104.9 + x
=> x = 8.8
Conclusion:Therefore, the length of the missing side it 8.8.
Hoped this helped
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