The seeming inconsistency in the divine concept is the subject of The Problem of Evil.
What is evil?The Problem of Evil discusses the seeming contradiction in the concept of the divine.
The deity is a supremely good and powerful being who nevertheless produces or permits the existence of evil. It is somewhat of a problem that requires explanation or correction.
Evil behaviours can be caused by malfunctions in chemical systems (alcohol), brain mechanisms, psychological mechanisms (poor impulse control), and societal causes even without specific issues like psychopathy (peer influence).
Thus, these are the problems of evil.
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"When the first automobile was invented in 1886, there was excitement about what this new machine meant for the future of travel, both near
and far. In 1900, cars were considered luxury items, and only 8,000 were owned in the United States. Currently, over 253 million cars are driven
on American roads. As the automobile became the main form of transportation in the United States, regulations about who could operate the cars
soon followed."
What is the author's point of view in the excerpt?
1- third-person limited
2- third-person omniscient
3- first person
4- second person
Answer:
uyciycyviyiyv
Explanation:
ihhbjbi
Which of these is a Cultural trait
Architecture
-Transportation Methods
-Geography
-Agriculture and Land Management
Use the information in the graph and your knowledge of U.S. Government and Politics to respond to parts A, B, and C.
A. Describe one trend shown in the graph.
B. Describe two ways in which public approval ratings might impact the president's success in getting his initiatives passed in congress.
C. Describe two factors, other than public approval ratings, that might impact the president's legislative success.
a. One trend on the graph is that the percentage of the approval over time was at least 22% for each president.
b. Two ways in which public approval ratings might impact the president's success in getting his initiatives passed in congress are that high public approval ratings can increase the president's political capital and influence.
c. The factors that can impact a president's legislative success are relationship with Congress and makeup of Congress.
How to illustrate the information?If the president's party does not have a majority in one or both houses of Congress, it can be more difficult for them to pass legislation. On the other hand, if the president's party has a strong majority, they may be able to pass legislation more easily.
Public approval ratings can impact a president's success in getting his initiatives passed in congress in a number of ways:
High public approval ratings can increase the president's political capital and influence, making it more likely that members of congress will support the president's initiatives.
Low public approval ratings can decrease the president's political capital and influence, making it less likely that members of congress will support the president's initiatives. In this case, members of congress may be more reluctant to take positions that align with the president, as it could be seen as politically risky. They may also be more willing to oppose the president's initiatives in order to distance themselves from a potentially unpopular president.
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Calculate bigmeds total revenue if the firm produces the allocatively efficient quantity
Determine marginal revenue and marginal cost; describe allocative efficiency as it relates to monopolistic efficiency. Think about a monopoly company.
How is marginal revenue calculated?Divide the change in total revenue by the change in output quantity to determine a company's marginal revenue. The price of a single extra item that was sold makes up marginal revenue. The marginal revenue formula is as follows: Change in revenue divided by Change in quantity is known as marginal revenue.
How are average, marginal, and total revenue determined?The formula for total revenue is the production sold multiplied by the price. By dividing total income by total output, the average revenue is obtained. Marginal income is equivalent to divided by the difference in total quantity, is the difference in total revenues.
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An anatomy instructor tells a student that the muscle the student is looking for is in the brachial region the student should exam in which portion of the anatomical model
The instructor is telling the student to examine the brachial region of the anatomical model, which is located in the upper arm. This region is located between the shoulder and the elbow, and contains a number of muscles and structures that are important for movement and function in the arm and hand. The student should be sure to carefully examine this region in order to locate and identify the specific muscle that they are looking for.
When you follow through to make something happen, this is an example of
commitment
flexibility
organization
selling out
its actually critical thinking
5th and 11th terms of an A.P. are 41 and 20 respectively, find the first term and the sum the first 11 terms.
Thus, the 11-term total is 825/2, and the ap's initial term is 55.
How do you locate an AP's eleventh term?The nth term formula in AP will be used to calculate the value of the 11th term. Hint: To find the 11th term from the end, we will approach it the same way we are doing from the first term, except we must treat the last term as the first term and the common difference is the previous term minus the next term.
The answer to equations (1) and (2) is a+4d=41 and a+10d=20-6d=21.
now d= -21/6
When the value of d is entered into equation (1), the first term is 55 and the sum of the 11 terms is a+4d=41, a+4*-21/6=41, a+4=41, and a+14=41.
formula
Solving equation
(1) and s(n)=n/2(2a+(n-1)*d, s(11)=11/2(2*55+(11-1)*-21/6, s(11)=11/2(110-35), s(11)=11/2(75), s(11)=825/2, and the first term of ap is solution (2)
a+4d=41
a+ 10d=20
-6d= 21
now d= -21/6
the d value in the equation (1)
a+4d=41
a+4*-21/6=41
a-14=41
a=41+14
a= 55
Since the first term is 55
totaling 11 terms
formula
s(n)=n/2(2a+(n-1)*d
s(11)=11/2(2*55+
(11-1)*-21/6
s(11)=11/2(110-35)
s(11)=11/2(75)
s(11)=825/2
Thus, the 11-term total is 825/2, and the ap's initial term is 55.
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Marty is moody, manipulative, unstable, lacks a clear sense of identity, and often clings to others. He wants to have close relationships, but is unable to do so because he is untrusting of others. Which personality disorder might Marty be diagnosed with?
Antisocial personality disorder
Borderline personality disorder
Avoidant personality disorder
Dependent personality disorder
Paranoid personality disorder
Answer: Borderline personality disorder
Explanation:
Since Marty is moody, manipulative, unstable, lacks a clear sense of identity, and often clings to others, this implies that Marty might be diagnosed with the borderline personality disorder.
Borderline personality disorder is a mental disorder characterised whereby the person affected has unstable behavior, moods, and relationships. In this case, Marty will be instable, impulsive, insecure, and have a feeling of worthlessness.
The treatment of borderline personality disorder is usually through talk therapy or medication.
Read this paragraph.
When my wife and I were first married, we decided to look for ways to eat more healthy food as a couple. After doing some research, we were
surprised to learn how many health conditions can be related to eating unhealthy food. We started reading food labels and noticed that many items
marketed as "healthy," like those that are labeled as "low fat" or "low carb," contain chemicals and preservatives designed to stay for weeks on
grocery store shelves. We decided to eat more fresh, unprocessed food. We cleaned out the items in our pantry that were full of sugar, salt, or
preservatives. We found sources for creating good meal plans in our quest for clean eating and found a favorite farmers market for local produce.
After a few weeks of preparing fresh, healthy foods, cooking became easier, our meals were tastier, and we even felt better.
What is the implied main idea?
Couples that eat the same foods grow in their relationships.
O Eating fresh food is better for your health than processed food.
O All foods labeled as "low carb" are actually unhealthy,
Reading food labels is the best way to create healthy meals.
Answer:
Eating fresh food is better for your health than processed food
Magnesium and heart-healthy fats are only two of the heart-healthy minerals and antioxidants that are abundant in real food. Consuming a diet high in wholesome, unprocessed foods can also possibly aid to lessen inflammation. Thus, option A is correct.
What impact of processed food on health of a person?Foods that have been heavily processed frequently have harmful amounts of added sugar, sodium, and fat.
These substances enhance the flavor of the food we consume, but consuming too much of them can result in major health problems.
People's life can be made easier by processed foods. Meal preparation time can be shortened using prepackaged items.
Food processing increases food's shelf life, resulting in longer food storage and less food loss from rotting.
Therefore, eating fresh food is better for your health than processed food.
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"When the first automobile was invented in 1886, there was excitement about what this new machine meant for the future of travel, both near
and far. In 1900, cars were considered luxury items, and only 8,000 were owned in the United States. Currently, over 253 million cars are driven
on American roads. As the automobile became the main form of transportation in the United States, regulations about who could operate the cars
soon followed."
What is the author's point of view in the excerpt?
third-person limited
O third-person omniscient
first person
second person
Answer:
Third-person omniscient.
Explanation:
The Third-person omniscient point of view is considered the most flexible point of view. The narrator in the third-person omniscient point of view is all-knowing and all-seeing.
The given excerpt is taken from "When Should Teens Drive? by Rebecca Lebowitz". The point of view used by the author in this text is third-person omniscient as the narrator is all-knowing.
Therefore, option B is correct.
Answer:
Explanation:
It's third person limited nothing is there to show omniscient.
An ointment contains 12 gms of active ingredient with 100 gms of ointment base. What is the concentration of the active ingredient in the ointment? 6%, 12%, 24% or 88%
**UPDATE: The answer to this is 12%** I looked it up elsewhere and did get it correct!
Answer: 12%
Explanation:
Since the ointment contains 12 gms of active ingredient with 100 gms of ointment base, the concentration of the active ingredient in the ointment will be:
= Content if active ingredient/Content of ointment base × 100
= 12/100 × 100.
= 12%
Therefore, the the concentration of the active ingredient in the ointment is 12%.
To what extent did China’s adoption of Communism alter the fundamentals of Chinese society?
Answer:
The creation of the PRC also completed the long process of governmental upheaval in China begun by the Chinese Revolution of 1911. The “fall” of mainland China to communism in 1949 led the United States to suspend diplomatic ties with the PRC for decades. Communists entering Beijing in 1949.
Solve. y-6/-5 = -2/y-9
PLSS HELP TIMED QUESTION WILL GOVE BRAINLIEST
Explanation:
[tex] \frac{y - 6}{ - 5} = \frac{ - 2}{y - 9 } \\ (y - 6)(y - 9) = 10 \\ either \: (y - 6) = 10 \: \: or \: \: (y - 9) = 10 \\ y = 16 \: or \: 19[/tex]
Glenda might communicate with her classmates by text, but would probably not use that channel to communicate with her principal based on what?
Question 1 options:
communication conventions
proxemics
feedback strategies
communication systems
The correct answer is (option A) communication conventions
The term rate means how quickly something occurs. What are some rates you talk about in everyday life? What are the units?
Answer:
bingchiling
Explanation:
Inner-city landlords who subdivide large houses into smaller low-income units are practicing
O public housing.
O redlining.
O filtering.
O gentrification.
O annexation.
Answer:
filtering
Explanation:
its the definition.
Answer:
Filtering
Explanation:
⫸ The process of the subdivision of houses and occupancy by successive waves of lower-income people. Begins when larger homes, built by wealthier families, are subdivided by absentee landlords into smaller dwellings for low-income families.⫷
⁜Hopefully this helps! Have a great day!⁜
Please answer ASAP!
Thanks
The definition of the key terms above are given as follows:
1. Natural philosophy is the study of nature via observation and logic.
2. The Copernican hypothesis is the theory given by Nicolaus Copernicus that the sun lies at the center of the solar system.
3. The experimental method is a means of putting scientific theories to the test by conducting controlled experiments and monitoring the outcomes.
4. Sir Isaac Newton proposed the Law of Inertia, which asserts that objects in motion stay in motion and objects at rest stay at rest until moved upon by an external force.
5. Sir Isaac Newton proposed the Law of Universal Gravitation, which states that all things in the universe are attracted to one other with a force proportionate to their mass and the distance between them.
6. Empiricism is the belief that knowledge is gained by experience and observation rather than intrinsic notions or revelation.
7. Cartesian dualism is René Descartes' proposal that the mind and body are separate entities.
8. The Enlightenment was an 18th-century philosophical movement that promoted reason and individual freedom.
9. Rationalism is the belief that knowledge is gained via reasoning and logical thought rather than observation.
10. Philosophes are 18th-century intellectuals who participated in the Enlightenment and sought to better society via reason.
11. The reading revolution refers to a large growth in book production and literacy spread throughout the 18th century.
12. A salon is a gathering of intellectuals and artists that takes place in a private residence with the aim of discourse and cultural exchange.
13. Rococo is a style of art from the 18th century that is distinguished by complex, beautiful, and decorative motifs.
14. The social environment in which citizens can openly discuss and debate public problems is known as the public sphere.
15. Enlightened absolutism is the belief that rulers should use reason to control and improve their subjects' lives.
16. Cameralism is a type of economic management system that evolved in 18th-century German nations.
17. Haskalah is a Jewish enlightenment movement that used reason and education to revolutionize Jewish culture and thinking.
Why are the above key terms important?1. Natural philosophy was a significant topic of study throughout the 18th century since it dealt with comprehending the natural world via observation and reason, which helped provide the groundwork for contemporary science.
2. The Copernican theory transformed the way people thought about the universe and challenged long-held views about the Earth's role in the cosmos; this was essential in breaking away from the centuries-old Aristotelian-Ptolemaic system.
3. The experimental method, introduced by scientists such as Francis Bacon and Robert Boyle, enabled the systematic testing of scientific theories and was critical in the creation of modern science.
4. Newton's principles of motion, particularly the rule of inertia and the law of universal gravitation, offered a framework for understanding how objects move in the natural world.
5. During the Enlightenment, two key philosophical groups formed that changed how people thought about knowledge and how it should be gained.
6. Cartesian dualism, the theory that the mind and body are distinct entities, had a tremendous influence on philosophy and how people thought about the mind-body relationship.
7. The Enlightenment was a popular intellectual movement that stressed the application of reason, individual liberty, and the significance of societal improvement.
8. The name "philosophes" alludes to the Enlightenment's intellectual leaders who strived to change society via reason and understanding.
9. The reading revolution, literacy spread, and book creation all played important roles in the transmission of Enlightenment ideals.
10. Salons were an essential part of 18th-century society, serving as a platform for intellectuals and artists to share ideas.
11. Rococo art was popular in the 18th century and was distinguished by its exquisite and extravagant features.
12. The public sphere is the social environment in which citizens may freely discuss and debate public problems; this was critical for the spread of Enlightenment ideals.
13. Enlightened absolutism is a concept that affected monarchs' perceptions of their position and relationship with their subjects.
14. Cameralism was an influential economic theory that originated in 18th-century German nations, proposing that the government should actively manage the economy for the benefit of the people.
15. Haskalah was a Jewish enlightenment movement that sought to modernize Jewish culture and philosophy through the application of reason and education. It was influential in Jewish communities of the time.
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Select the correct answer.
Which of the following statements is false?
A.
Problems associated with the central nervous system are always minor.
B.
Problems associated with the central nervous system may begin while in the womb.
C.
Some problems associated with the central nervous system are common.
D.
All of the above
Reset
Next
Answer:
A. Problems associated with the central nervous system are always minor.
Explanation:
The false statement from the list of answer choices is option A.
This is because, the central nervous system is the powerhouse of the nerves in the body and any slight problem to it could cause serious problems to other bodily functions such as speech, movement, etc.
Therefore, problems associated with the central nervous system are always severe.
The process of transporting materials in a cell involves a positive change in the amount of free energy in the cell. Which of the following best describes how this process affects the cell?
Quick help
How is big data used in finance for universities??
Which of the following does near money include?
deposits in savings accounts and money market mutual funds
credit cards and debit cards
traveler's checks and deposits in checking accounts
demand deposits and other checkable deposits
Have you ever been tempted to try the claw machine to win a prize? Today we will work problems about
the claw machine.
Part 1: Simulation. For one style of claw machine, the pressure the claw squeezes with changes for each trial. The top psi level only appears 1/18 of the time. The claw has enough psi to lift the prize 1/9 of the time. Use the random digits below to simulate the number of wins in 5 trials of the claw game. Repeat this until 25 samples have been taken to find the expected number of wins in 5 trials of the game.
Part 2: Given the true proportion of winning on one trial is 1/9, then find the chance of winning at least once in 5 trials.
Part 3: How many trials should a player expect to play before winning a prize?
Part 4: What is the chance that the first win occurs in fewer than 4 trials?
Part 5: How many trials are required before the user’s chance of success reaches at least 0.5?
Standardized Tests Part 1: A student reads a passage and answers questions based the passage for 3 minutes. Each question has three possible answers from which to choose. The student answers 22 questions and 11 are correct. The teacher assumes the student guessed on the questions.
What is the expected score for a student who is guessing?
What is the standard error out of 22 questions for a student who is guessing?
What is the probability of scoring 11 correct if the student is truly guessing?
Create a 95% confidence interval for a single trial of the test.
What do you tell the teacher about whether they should conclude the student was guessing?
Answer
Part 1: Simulation.
For 25 samples, the expected number of wins in 5 trials is 3.75.
Part 2: The chance of winning at least once in 5 trials is 0.752 or 75.2%.
Part 3: On average, a player should expect to play 9.09 trials before winning a prize.
Part 4: The chance that the first win occurs in fewer than 4 trials is 0.441 or 44.1%.
Part 5: The number of trials required before the user’s chance of success reaches at least 0.5 is 4.
Standardized Tests Part 1:
The expected score for a student who is guessing is 11 out of 22.
The standard error out of 22 questions for a student who is guessing is 1.69.
The probability of scoring 11 correct if the student is truly guessing is 0.125 or 12.5%.
The 95% confidence interval for a single trial of the test is between 8 and 14.
The teacher should not conclude the student was guessing based on the results of the test. The results are within the expected range for a random guess, but could also be attributed to the student's knowledge of the material.
Part 1: For 25 samples, the expected number of wins in 5 trials is 3.
Part 2: The chance of winning at least once in 5 trials is 0.752 or 75.2%.
Part 3: On average, a player should expect to play 9 trials before winning a prize.
Part 4: The chance that the first win occurs in fewer than 4 trials is 0.4 or 40%.
Part 5: The number of trials required before the user’s chance of success reaches at least 0.5 is 4.
Standardized Tests Part 1:
The expected score for a student who is guessing is 7 out of 22.
The standard error out of 22 questions for a student who is guessing is 0.02.
The probability of scoring 11 correct if the student is truly guessing is 0.0022 or 0.22%.
The 95% confidence interval for a single trial of the test is between 10 and 12.
The teacher should not conclude the student was guessing based on the results of the test. The results are within the expected range for a random guess, but could also be attributed to the student's knowledge of the material.
How to determine the values for simulation?Part 1: To simulate the number of wins in 5 trials of the claw game, you would use a random number generator to generate a number between 1 and 18 for each trial. If the number generated is 1, that would represent a win. You would repeat this process 5 times for each sample and record the number of wins. You would repeat this process 25 times to find the expected number of wins in 5 trials of the game.
Part 2: The chance of winning at least once in 5 trials would be calculated using the binomial probability formula. The formula is (5 choose k) * (p^k) * (1-p)^(5-k), where k is the number of wins, p is the probability of winning on one trial (1/9), and (5 choose k) is the number of ways to choose k wins from 5 trials. To find the chance of winning at least once, you would sum the probability of 0 wins plus the probability of 1 win plus the probability of 2 wins, etc. up to 5 wins.
Part 3: To find the number of trials a player should expect to play before winning a prize, you would use the expected value formula for a geometric distribution. The formula is 1/p, where p is the probability of winning on one trial (1/9). So, a player should expect to play 9 trials before winning a prize.
Part 4: To find the chance that the first win occurs in fewer than 4 trials, you would use the cumulative probability function for a geometric distribution. The formula is 1-(1-p)^n, where p is the probability of winning on one trial (1/9) and n is the number of trials. So, the chance that the first win occurs in fewer than 4 trials would be 1-(1-(1/9))^4 = 0.4.
Part 5: To find the number of trials required before the user's chance of success reaches at least 0.5, you would use the cumulative probability function for a geometric distribution. The formula is 1-(1-p)^n, where p is the probability of winning on one trial (1/9) and n is the number of trials. To find the n such that the cumulative probability function is greater than or equal to 0.5, you would need to solve 1-(1-p)^n >=0.5 and find the n.
Standardized Tests Part 1:
A student reads a passage and answers questions based on the passage for 3 minutes. Each question has three possible answers from which to choose. The student answers 22 questions and 11 are correct. The teacher assumes the student guessed on the questions.
The expected score for a student who is guessing would be (1/3)*22 = 7.3
The standard error for a student who is guessing would be sqrt((1/3)*(2/3)/22) = 0.02
The probability of scoring 11 correct if the student is truly guessing is (22 choose 11) * (1/3)^11 * (2/3)^11 = 0.0022
Create a 95% confidence interval for a single trial of the test would be (11-1.960.36,11+1.960.36) = (10,12)
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The french motto of liberty supports sociology by reminding people that they
Answer:
it is used as a reminder for people to remember that they are a part of an evolving society. meaning they have a freedom of choice, are equal eyes of the law and a part of the community
Answer:
are free to study what is needed to correct problems.
Explanation:
i got it right :)
write a thesis and DBQ Paragraph for the following prompt:
Evaluate the extent to which Enlightenment principles were the main cause of the French Revolution.
Your assignment needs to include:
A thesis that makes a line of reasoning.
One Paragraph that includes: Summaries of TWO (or more) documents, Connections of TWO (or more) documents to the prompt, Source (CAPP, pick one) for TWO documents, ONE piece of outside information.
NEEDS HELP ASAPPP WORTH ALOT OF POINTTSSSS
You must build your thesis and paragraph on the prompt "To what extent were the principles of the Enlightenment the main cause of the French Revolution" based on an analytical research in reliable sources on the subject.
What is a thesis?
Corresponds to the author's critical position in an argumentative text. To be effective, the thesis must be well constructed and aligned with the author's view on the subject, defending his opinion for or against a subject, based on research sources that corroborate with such opinion.
Therefore, assuming that the author is in favor of the claim that the principles of the Enlightenment were the main cause of the French Revolution, he can rely on books and articles that attest that the French Revolution was based on the search for reason, equality and democracy, which were ideals championed by Enlightenment philosophers.
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Janice and Jenny are mother and daughter. Janice is much more alert early in the morning, and her teenage daughter is much more alert late
in the evening. Their differing alertness levels throughout the day are attributed to which of the following?
O circadian rhythms
O sleep cycles
O personalities
O brain plasticity
O levels of acetylcholine
Answer: circadian rhythms
if you're unsure, i think answers 1 and 2 are the best bets
The primary political authority in society is the state.
Please select the best answer from the choices provided
OT
OF
Answer:
TRUE
Explanation:
100% EDGE 2021
Answer:
true
Explanation:
Rhetorical Appeals in The Film Miss Representation
Give three examples of ethos in the film Miss Representation
Give three examples of pathos in the film Miss Representation
Give three examples of logos in the film Miss Representation
I will mark brainliest to whoever answers accurately and fast
45 points
Answer: I think of pathos as symPATHY so like emotion. Give examples where emotion is shown. (Happiness, sadness, etc) Ethos is ETHICS, so like credibility and some sources. Give an example where there were evidence. Logos is LOGIC, so give examples where there were logical reasons. Hope this helps.
Explanation:
According to the law of universal gravitation, any two objects are attracted to each other. The strength of the gravitational force depends on the masses of the objects and their distance from each other. Many stars have planets around them. If there were no gravity attracting a planet to its star, the planet's motion would carry it away from the star. However, when this motion is balanced by the gravitational attraction to the star, the planet orbits the star. Two solar systems each have a planet the same distance from the star. The planets have the same mass, but Planet A orbits a more massive star than Planet B. Which of the following statements is true about the planets?
The statement that is true about the planets is option B. Planet A orbits its star faster than Planet B.
What is the law of universal gravitation?According to the law of universal gravitation, any two objects are attracted to each other.
Planet A will experience a stronger gravitational force from its more massive star than Planet B will experience from its less massive star, even though the planets are the same distance from their respective stars.
This is because the strength of the gravitational force between two objects is directly proportional to the mass of those objects and inversely proportional to the square of the distance between them.
Since the planets have the same mass and are the same distance from their stars, the only factor that changes is the mass of the stars. So, the gravitational force experienced by Planet A will be greater than that experienced by Planet B.
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See full question below
According to the law of universal gravitation, any two objects are attracted to each other. The strength of the gravitational force depends on the masses of the objects and their distance from each other. Many stars have planets around them. If there were no gravity attracting a planet to its star, the planet's motion would carry it away from the star. However, when this motion is balanced by the gravitational attraction to the star, the planet orbits the star. Two solar systems each have a planet the same distance from the star. The planets have the same mass, but Planet A orbits a more massive star than Planet B. Which of the following statements is true about the planets? A. Planet B will keep orbiting its star longer than Planet A. B. Planet A orbits its star faster than Planet B. C. Planet B is more attracted to its star than Planet A. D. Planet A has a longer year than Planet B.
Based on the image below, these people are likely participating in which geographic concept?
The picture is a Color photograph of men in low lying water. Some are sitting on a rock looking at a large waterfall. Others are wading in the water.
Ecology
Consumerism
Ecotourism
The hajj
Sustainable development
Answer:
Ecotourism.
Explanation:
Ecotourism is the tourism that is practiced in a natural environment, in harmony with the nature, culture and community of the area that is being traveled. Ecotourism is meant to be sustainable, to have little impact on the environment, be educational and have a positive economic impact where it is practiced. Ecotourism is nature tourism, educational tourism, built up in collaboration with locals, organized for small groups and less dependent on services and structure.
Answer:
B) Ecotourism
Explanation:
It's correct, got it right on the test! <3 hope it helps!
The big tires on a farmer's tractor have a radius of 1.2 meters. If the farmer drives his tractor at 4.2 m/s to the left, what is the angular velocity of the tires?
Answer:
Angular velocity = 3.5 rad/secs
Explanation:
Given the following data;
Radius, r = 1.2 meters
Linear velocity = 4.2 m/s
To find the angular velocity;
Mathematically, angular velocity of an object is given by the formula;
[tex] Angular \; velocity = \frac {linear \; velocity}{radius} [/tex]
Substituting into the formula, we have;
[tex] Angular \; velocity = \frac {4.2}{1.2} [/tex]
Angular velocity = 3.5 rad/secs