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.
A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x, and their grade point average (gpa), y. The data that were collected are displayed in the scatterplot and the least-squares regression line was calculated. One student with 2 absences has a gpa of 1. 8. This point is circled on the graph. What effect does the circled point have on the slope and y-intercept of the least-squares regression line? this point will increase the value of the slope and increase the value of the y-intercept. This point will increase the value of the slope and decrease the value of the y-intercept. This point will decrease the value of the slope and increase the value of the y-intercept. This point will decrease the value of the slope and decrease the value of the y-intercept.
Based on the information given, the effect of the circled point on the correlation will be D. This point will decrease the value of the slope and decrease the value of the y-intercept.
What is correlation?From the complete information, it can be noted that the effect of the circled point on the correlation is that the correlation will be weakened because the point falls outside the data pattern.
Therefore, this implies that the point will decrease the value of the slope and decrease the value of the y-intercept.
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Answer:
D
Explanation:
Blood returning to the mammalian heart in a pulmonary vein.
Answer: The circulatory system
On interval 0 ≤ x < 2π, where are the x-intercepts of y = cos(2x)? startfraction pi over 2 endfraction and startfraction 3 pi over 2 endfraction 0, π, and 2π startfraction pi over 2 endfraction, pi and startfraction 3 pi over 2 endfraction.
The x-intercepts of y = cos(2x) in the interval 0 ≤ x < 2π are π/4 and 7π/4
The x-intercepts of y = cos(2x) are gotten when y = 0.
So, y = cos(2x)
cos(2x) = 0
Taking inverse cos of both sides, we have
cos⁻¹cos(2x) = cos⁻¹(0)
2x = π/2
Dividing both sides by 2, we have
x = π/4
So, the other angle in the range 0 ≤ x < 2π is x = 2π - π/4 = 7π/4
So, the x-intercepts of y = cos(2x) in the interval 0 ≤ x < 2π are π/4 and 7π/4
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Answer: D
Explanation:
D on Edge
The diagram above can be completed with an increase in the membership and political power of which group? the populist party the ku klux klan the congress of racial equality the american civil liberties union.
The diagram in the image attached below can be completed with an increase in the membership and political power of: C. the congress of racial equality.
Migration refers to the movement of a group of people from one geographical region (location) to another geographical destination, in search of better social amenities, living conditions, and work.
In the United States of America, there was an increase (rise) racial tension due to the following:
Migration of African-Americans to cities. Rise of nativism and religious fundamentalism among the people.Consequently, the congress of racial equality (CORE) was established in 1942 by James Farmer to serve as an African-American civil rights organization (interracial organization).
In conclusion, the congress of racial equality (CORE) played a pivotal role in the civil rights movement by promoting the use of non-violent tactics to help African-Americans;
1. Secure equal rights with the Whites.
2. End racial discriminations in the United States of America.
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Along what waterway did abraham begin his wanderings away from his native city?.
Answer:The Euphrates river
The barry family invited 100 relatives to their christmas party. 90 guests had italian heritage, 80 had german heritage and 75 had swiss heritage. What is the minimum number of people who claimed ancestry from all three heritages?.
Answer:
45
Explanation:
The minimum number of people who claimed ancestry from all three heritages is : 45
Given that there are 100 relatives
let's assume that 1 relative = 1 room
100 relatives = 100 rooms
Number of relatives with Italian heritage = 90
Number of relatives with German heritage = 80
Number of relatives with swiss heritage = 75
Step 1 :
Fill up the first 90 rooms with Italian heritage relatives
Fill up the remaining 10 rooms with 10 Relatives with German heritage
Step 2 :
Distribute the remaining 70 relatives with German heritage into 70 rooms out of the 90 rooms already occupied by the relatives with Italian heritage
Step 3:
Distribute the 75 relatives with swiss heritage into the 20 rooms occupied by Italian heritage relatives only and 45 rooms occupied by both German and Italian relatives and into the 10 rooms occupied by the German heritage relatives
Therefore we can conclude that the minimum number of people who claimed ancestry from all three heritages is : 45
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The free body diagram below shows the forces acting on a bicycle.
Answer:
I need only 5 brainlisted please give meExplanation:
please understand my situationList down all the foods and drinks you ate for breakfast snacks lunch and dinner yesterday.
Answer:
Breakfast: pancakes and strawberries. Snacks: Cheeto, potato sticks, babybelle cheese. Lunch: fruit salad, and Starbuck. Dinner: pizza from dominos. Dessert: vanill icecream. ✌️
An example of innovative thinking is changing an old manufacturing process to save time and money.
Answer:
Coooool do drugs
Explanation:
Which of the following is not one of the big five personality factors?.
Answer: what following?
Explanation:
Which scenario best describes a person who is likely to be vulnerable to trafficking because of drug or alcohol dependence?.
What does the image of "a huge mountain ‘tween my heart and tongue" suggest about the meaning of this passage? portia does not want lucius to find out that she is in love. Portia fears her own thoughts and wishes they would stop. Portia is not sure if lucius can be trusted with the errand. Portia does not want to say what she is feeling.
Answer: d. Portia does not want to say what she is feeling.
Explanation:
I got it right
Question:
What does the image of "a huge mountain ‘tween my heart and tongue” suggest about the meaning of this passage?
-Portia does not want Lucius to find out that she is in love.
-Portia misses the freedom to enjoy being out in nature.
-Portia knows that Lucius is one of the conspirators.
- Portia wishes for help to keep from saying what she knows and feels.
Answer:
Portia wishes for help to keep from saying what she knows and feels. -D
Explanation:
Just did it!
Which persuasive techniques are used in this poster? select 2 options. Glittering generalities about the viewer a simple solution to a problem fear over a possible outcome association with a positive idea nostalgia that helps people recall the past.
The persuasive techniques that were used in the given poster are; Option A; glittering generalities about the viewer. and Option C; fear over a possible outcome
The poster is missing and so i have attached it.
The painting in the attached image was one created by Norman Rockwell released by the United Kingdom's Royal Navy during World War II.
The intentions and message the poster is trying to communicate is very direct because it tells us that if the workers waste time, the production rate of ships and destroyers will definitely decrease and as such the war will continue and it will take a far longer time to win the war.
The persuasive technique used in this poster is that it shows the glittering generalities about the viewer and from the images fear over a possible outcome.
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Answer:
A)glittering generalities about the viewer
C)fear over a possible outcome
Explanation:
edg 2021
The extended warranty on a mini-fridge costs $41. 25. If the warranty is 12. 5% of the normal price, what is the cost of the mini-fridge itself, to the nearest dollar?a. $225b. $516c. $330d. $303.
Rochelle plans to sell all of her shares when she can profit $6,250. What must the net asset value be in order for rochelle to sell? a. $12. 50 b. $31. 44 c. $31. 64 d. $100. 0.
Answer:
C. 31.64
Explanation:
Arrange the tiles to show the sequence of events in the development of the theory of evolution.
According to the principle of natural selection, organisms breed more young than they can withstand in their surroundings.
What is Theory of Evolution?Those who are more physically capable of surviving, maturing, and reproducing. On the other hand, those who lack this fitness either do not live long enough to reproduce or have fewer children than their counterparts.
Because the "fittest" organisms—those most adapted to their environment—are the ones that reproduce most successfully and are most likely to pass on their qualities to the next generation, natural selection is sometimes summed up as "survival of the fittest."
This means that if an environment changes, qualities that help people survive in it will eventually adapt, or develop. Natural selection was a potent force.
Therefore, According to the principle of natural selection, organisms breed more young than they can withstand in their surroundings.
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which change of state is shown in the model? condensation boiling sublimation freezing
Answer:Condensation Boiling
Explanation:
Xavier created a scatterplot and a trend line for data that he collected by comparing the number of minutes he spent playing a game and the number of levels he passed. Video game a graph has minutes played on the x-axis and levels passed on the y-axis. A line goes through points (10, 4) and (30, 14). According to the graph, which combination of minutes played and levels passed seem most likely to be possible? 2 minutes played and 3 levels passed 17 minutes played and 35 levels passed 20 minutes played and 9 levels passed 50 minutes played and 19 levels passed.
Answer:
Explanation:
Only used for facilitating or influencing decisions, but not both
Time-specific
Qualitative
Aggregated, without much detail
Answer:
the answer is (C)
Explanation:
hope this helps :)
Which of the following is not useful for changing the font size?.
There are different ways to change front size. The option that is not useful for changing the font size is Orientation button
The term font size simply means the overall shape of a specific character. It is often measured in points.
Example is 12-pt font, 11 pts etc.Orientation is simply known to be a term that is used to show the positioning or general layout of an item linked to other items and not to change front type.
Which of the following is not useful for changing the font size?
answer choices
a. Font Size drop-down list
b. Increase Font Size button
c. Decrease Font Size button
d. Orientation button
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Rocky point brewery (rpb) plans to file an initial public offering (ipo) in june 20x3. Olsen & alain, cpas (o&a) has performed calendar year end audits of rpb since 20x0 and also helps rpb prepare monthly financial statements in accordance with aicpa independence rules. O&a terminated the accounting services in december 20x2. Under sec independence rules, could rpb continue to engage o&a as its auditor when it files its ipo?.
Based on the information given about the public offering, the correct option is C. No, because the prohibited non-audit services were performed during the period covered by the financial statements.
From the complete information, it was stated that Rocky point brewery plans to file an initial public offering in June 20x3 while Olsen & Alain, cpas has performed calendar year-end audits of rpb since 20x0.
Under the security exchange commission and PCAOB, it should be noted that Rocky point brewery cannot engage O & A to be their auditors now that's it's a public company.
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you have a credit card and the average balance on that card year after year is 4000
Why is it important for all the phases of growth and reproduction to proceed correctly in order for a plant species to survive?
Explanation:
Reproduction produces offspring.
All organisms reproduce. If they didn't, no species would survive past a single generation. Reproduction allows organisms to pass their traits, or characteristics, to their offspring. Parents pass on their traits through their genetic material, or DNA.
Match each sentence with the type of dependent clause it includes.
Answer:
Where are the sentences? I think we need it.
Answer:WHEN YOU GET READY IS ADVERBIAL CLAUSE,WHATEVER YOURE DOING IS NORMINAL CLAUSE,WHO ARE GOING IS ADJECTIVAL CLAUSE.
Explanation:just did it
The two graphs show that earth’s polar regions are land ice. Climate scientists hypothesize that this change is happening because of in global temperatures. According to the graphs, the north pole is losing ice at a rate than the south pole.
Climate do influence habitat in different ways. The two graphs show that Earth's polar regions are Losing land Ice. Climate scientists hypothesize that this change is happening because of An increase in global temperatures. According to the graphs, the North Pole is losing ice at a Faster rate than the South Pole.
Global warming is known to be the outcome of the internal climate variability, or alterations in the relationship or interaction between the oceans and the atmosphere.
Due to the above, there is gradual/fast increase in temperatures due to the fact that they are getting their heat from deep within the oceans.
Scientist have observed from 11 satellite missions that was monitoring the Greenland and Antarctic ice sheets and they have shown that that the regions are at least 6 times in a faster rate losing than when compared to the 1990s.
see full question below
The graphs show the change in the mass of land ice sheets in Antarctica at the south Pole and in Greenland near the North Pole. Study the graphs, and then complete the passage. The two graphs show that Earth's polar regions are _ land Ice. Climate scientists hypothesize that this change is happening because of_ in global temperatures. According to the graphs, the North Pole is losing ice at a _ rate than the South Pole.
blank 1 =
A. gaining
B. losing
blank 2=
A. an increase
B. a decrease
blank 3=
A. slower
B. faster
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Answer:
capture, of answer
Enter the following transactions into richard’s checkbook register and state his ending balance: date type description amount 03/01 check #204 blue sky apartments $455. 00 03/05 dep payroll automatic deposit $390. 36 03/08 debit benny’s hamburgers and fries $9. 20 03/15 check #205 car payment $251. 59 03/19 dep payroll automatic deposit $390. 36 a. $715. 79 b. $1,009. 81 c. $780. 72 d. $880. 24.
Answer:
Enter the following transactions into richard’s checkbook register and state his ending balance: date type description amount 03/01 check #204 blue sky apartments $455. 00 03/05 dep payroll automatic deposit $390. 36 03/08 debit benny’s hamburgers and fries $9. 20 03/15 check #205 car payment $251. 59 03/19 dep payroll automatic deposit $390. 36 a. $715. 79 b. $1,009. 81 c. $780. 72 d. $880. 24.
Answer:
B
Explanation:
A researcher wants to conduct a study to see if playing chess improves memory. The researcher finds 50 individuals who play chess regularly and 50 that do not. Each of the 100 individuals are given a questionnaire designed to determine memory level. If the 100 individuals did not know they were participating in the study, which statement about the study is correct?.
Answer:
This is an observational study
Explanation:
just took the test
What do you notice about the plot of baby shoes brainly.
The plot of a story often have a particular message it is trying to pass. What I noticed about the plot of for Sale baby shoes never worn is that shoes are said to be being given away instead of been sold and the story centers around grief associated with loss.
The plot of the story is about a grief-stricken woman who had lost her baby and had even given some names or titles of Little Shoes that was Never Worn.
In Kane's view of the story, he believed that the shoes are being given away instead of been sold. The narrative of the baby shoes, never worn." is the said to be fully called a six-word story. It is known to be a vivid example of flash fiction or sudden fiction.
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Which of the following best describes the sources that contribute to your online identity.
Statement that describes the difference that exists between an online identity and a real-life one is Online identities are more flexible.
Online identities can be regarded as the identity that is been presented on the internet and this is usually different from the real life identity.
This is because on internet different means can be used to have fake identity and this is different from real world.
We can conclude that difference between online identity and a real-life one is flexibility.
CHECK THE COMPLETE RELATED QUESTION BELOW;
What BEST describes the difference between an online identity and a real-life one?
Online identities are decided for you.
Online identities are short-lived.
Online identities are more flexible.
Online identities are forced on you
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X + y = 12 x - y = 10 what is the value of the x-determinant for the system shown?.
Let g be the function given by g(x)=x2ekx, where k is a constant. For what value of k does g have a critical point at x=23?.
It looks like we have
[tex]g(x) = x^2 e^{kx}[/tex]
If x = 23 is a critical point of g(x), then
[tex]g'(x) = 2x e^{kx} + kx^2 e^{kx} = (kx^2 + 2x) e^{kx}[/tex]
[tex]\implies g'(23) = (23^2k + 46) e^{23k} = 0[/tex]
[tex]e^{23k}[/tex] is positive for all k, so we're left with
23² k + 46 = 0
23² k = -46
k = -46/23²
k = -2/23