a construction worker pulls a five-meter plank up the side of a building under construction by means of a rope tied to one end of the plank (see figure). assume the opposite end of the plank follows a path perpendicular to the wall of the building and the worker pulls the rope at a rate of 0.20 meter per second. how fast is the end of the plank sliding along the ground when it is 2.1 meters from the wall of the building? (round your answer to two decimal places.)
Answers
The end of the plank is sliding along the ground at a rate of approximately 0.18 meters per second when it is 2.1 meters from the wall of the building.
To determine the speed at which the end of the plank is sliding along the ground, we can use the concept of related rates. Let's consider a right triangle formed by the plank, the rope, and the ground. The length of the plank remains constant at 5 meters, and the distance from the wall of the building to the end of the plank is decreasing at a rate of 0.20 meters per second.
We can apply the Pythagorean theorem to relate the distances between the wall, the end of the plank, and the ground. Let's denote the distance between the wall and the end of the plank as x and the distance between the end of the plank and the ground as y. According to the Pythagorean theorem, we have x^2 + y^2 = 5^2.
To find the rate at which the end of the plank is sliding along the ground (dy/dt), we differentiate this equation with respect to time:
2x(dx/dt) + 2y(dy/dt) = 0.
Since we are interested in finding dy/dt when x = 2.1 meters, we can substitute these values into the equation:
2(2.1)(dx/dt) + 2y(dy/dt) = 0.
We are given that dx/dt (the rate at which x is changing) is -0.20 meters per second. We can substitute this value into the equation and solve for dy/dt:
2(2.1)(-0.20) + 2y(dy/dt) = 0,
-0.84 + 2y(dy/dt) = 0,
2y(dy/dt) = 0.84,
dy/dt = 0.84 / (2y).
When x = 2.1 meters, y can be found using the Pythagorean theorem:
x^2 + y^2 = 5^2,
(2.1)^2 + y^2 = 25,
4.41 + y^2 = 25,
y^2 = 25 - 4.41,
y^2 = 20.59,
y ≈ 4.54.
Substituting the value of y into the equation for dy/dt:
dy/dt = 0.84 / (2 * 4.54),
dy/dt ≈ 0.18 meters per second.
Therefore, the end of the plank is sliding along the ground at a rate of approximately 0.18 meters per second when it is 2.1 meters from the wall of the building.
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Related Questions
Why is Dr Louis Leakey remembered in the history of East Africa
Answers
Answer:
because he made fossil discoveries in East Africa proved that human beings were far older than had previously been believed and that human evolution was centered in Africa, rather than in Asia.
Explanation:
hope this helps, have a amazing rest of your day, if you have any more questions feel free to ask.
Under the Articles of Confederation, if Vermont was attacked and invaded by New York, what could the federal government do to help?
A.Call up the federal military to force the New York militia to return to New York.
B.Order the New York militia to stand down and return to New York.
C.Ask the states to help, but the states could choose not to assist.
D.Issue new and higher taxes to punish New York for the attack.
Answers
Answer:
a
Explanation:
____ was mostly interested in the fur trade in North America.
France
Portugal
England
Spain
Holland
Answers
Answer:
England or spain
Explanation:
Which theorist believed that modern society produced anomie, a confusing, rule-less state? Group of answer choices Jane Addams Max Weber Emile Durkheim Karl Marx
Answers
The answer is Emile Durkheim
There are some bacteria that are good for our bodies, because they help keep things in balance. Which of the following is NOT true regarding viruses and bacteria?
A) A virus cant reproduce on its own.
B)Viruses are smaller in size than bacteria.
C)Viruses contain DNA, but bacteria do not.
D)Only bacteria is considered to be living.
Answers
Answer:
C
Explanation:
i need help so bad
i need this help
Answers
Answer:
The answer is a. 1/16
Explanation:
1/4 ÷ 4 = 1/16
Answer: Your answer will be A. 1/16
Explanation: I learned how to do this in my math class and now it's easy for me.
The answer is NOT incorrect.
Good luck!
A person can learn a behavior without ever performing it. this concept is part of which approach to personality?
Answers
A person can learn a behavior without ever performing it. this concept is part of Bandura's social cognitive theory approach to personality.
The crucial significance of self-beliefs in human cognition, motivation, and conduct is emphasised by Bandura's social cognitive theory of human functioning. The self-system that allows people to have some degree of control over their ideas, feelings, and behaviours is highlighted by social cognitive theory.
for example A teacher's support and positive attitude toward their students will help them develop self-efficacy, or the confidence in their capacity to achieve in a variety of circumstances.
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how do organizations communicate to implement adaptive leadership toolkit?
Answers
Organizations communicate to implement adaptive leadership toolkit through various methods such as meetings, emails, and video conferencing. These methods allow for open discussion and collaboration between members of the organization to come up with solutions to challenges and to make decisions.
Meetings are a common method of communication in organizations. They allow for face-to-face discussion and can be held in person or virtually. During meetings, members can discuss the adaptive leadership toolkit and brainstorm ways to implement it effectively.
Emails are another method of communication that organizations use to implement adaptive leadership toolkit. They allow for quick and efficient communication between members and can be used to send important information and updates about the implementation process.
Video conferencing is also a popular method of communication in organizations. It allows for real-time discussion and collaboration between members, even if they are not in the same location. This can be especially useful for organizations with members in different locations.
Overall, organizations communicate through a variety of methods to implement adaptive leadership toolkit. These methods allow for open discussion and collaboration between members, which is crucial for effective implementation.
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The President may appoint all of the following EXCEPT
Answers
I believe it's ambassadors to foreign countries because the vast proportion of the selections are made in conformance to recommendations of a Board of the Foreign Service.
HELP ME PLEASE
What explains a broken bone healing?
New cells with identical DNA replace the old cells through cell division.
Cells with new, unique DNA replace the old cells through cell division.
The cells get larger to replace the damaged cells.
New atoms and molecules are added to the bone through cellular respiration.
Answers
Answer:
New cells with identical DNA replace the old cells through cell division
Explanation:
In the first few days after a fracture, the body forms a blood clot around the broken bone to protect it and deliver the cells needed for healing. Then, an area of healing tissue forms around the broken bone. This is called a callus (say: KAL-uss). It joins the broken bones together.
The option that explains a broken bone healing is A. New cells with identical DNA replace the old cells through cell division.
It should be noted that when there's a fracture, the body forms a blood clot around the broken bone in order to protect it and this is also important for delivering the cells that are needed for healing.
Then, an area of healing tissue will form around the broken bone. New cells with identical DNA replace the old cells through cell division. This is vital for broken bone healing.
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which operant conditioning process is thor displaying? stimulus discrimination stimulus specificity stimulus generalization stimulus operance
Answers
The answer is stimulus generalization. Thor has generalized the command to other objects that are similar to the ball he learned to fetch.
Stimulus generalization is an idea utilized both in operant and in traditional molding; it alludes to the cycle where a comparative boost can incite a similar conditioned reaction. For instance, in the event that an individual fears bugs the person could encounter a similar reaction of dread while seeing different bugs like insects, or while seeing pictures of insects. Stimulus generalization occurs when behavior becomes more probable in the presence of one stimulus or situation as a result of having been reinforced in the presence of another stimulus or situation.
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10. Phytoplankton act as a carbon store when they
A. Breathe in CO2
B. Die and become a food source for other creatures
C. Die and move down into the deepest part of the ocean
Answers
Answer:I believe it is B or A Mostly A I think.
Explanation:
Who was happy with the Supreme Court's decision?
A. Slaves
B. Northerners
C. Southerners
Answers
Answer:
B
Explanation:Explanation:Explanation:
what dose the word determine mean
Answers
leads to vasoconstriction in systemic arterioles to increase peripheral resistance and stimulates the release of by the adrenal cortex.
Answers
The term "vasoconstriction" refers to the narrowing of blood vessels, which results in an increase in blood pressure. This process occurs in the systemic arterioles, which are small blood vessels that carry oxygenated blood from the heart to the tissues of the body.
Vasoconstriction in these arterioles is a mechanism that is used to regulate blood pressure and maintain adequate blood flow to the body's organs.
Peripheral resistance, which is the resistance to blood flow that occurs in the systemic arterioles, is also increased by vasoconstriction. This helps to maintain blood pressure and ensure that blood is distributed evenly throughout the body.
The release of hormones by the adrenal cortex is also important in regulating blood pressure. One hormone that is released is aldosterone, which increases the reabsorption of sodium and water in the kidneys. This helps to increase blood volume and therefore blood pressure.
Another hormone that is released by the adrenal cortex is cortisol, which is involved in the body's stress response. Cortisol can also have an effect on blood pressure by increasing the responsiveness of blood vessels to vasoconstrictive signals.
Overall, vasoconstriction in the systemic arterioles and the release of hormones by the adrenal cortex are important mechanisms that work together to regulate blood pressure and maintain adequate blood flow to the body's organs.
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why is it necessary to show current and future views of ea documentation?
Answers
At each level of the framework, the enterprise's present EA components are included in the current architecture. The "as-is" view is another name for this.
To enable analysts to identify performance gaps between future plans and current capabilities,
the current view of the EA creates a "baseline" inventory of current resources and activities that is documented consistently with the future view of the EA. For project planning, asset management, and investment decision-making, having an accurate and complete current perspective of EA components is crucial. The EA's current perspective consists of "artifacts" (documents, diagrams, data, spreadsheets, charts, etc.)
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S O M E O N E
H E L P
P L E A S E
Answers
Answer:
Nationalism is a way of thinking that says that some groups of humans, such as ethnic groups, should be free to rule themselves. ... The other definition of nationalism is the 'identification with one's own nation and support for its interests, especially to the exclusion or detriment of the interests of other nations.
Explanation:
You need some real help to be typing in caps like a therapist
What were the Byzantines?
Answers
The Byzantines were the people, culture, and empire that emerged from the eastern portion of the Roman Empire.
The term "Byzantine" is a modern designation, it refers to Eastern Romans. The Byzantine Empire existed from the 4th century until the fall of Constantinople in 1453.
The Byzantine Empire originated in the year 330 when the Roman Emperor Constantine the Great moved the capital of the Roman Empire from Rome to the ancient city of Byzantium, which he renamed Constantinople.
The empire was characterized by a mix of Roman, Greek, and Christian traditions. Byzantine society was heavily influenced by Christianity, and the Byzantine emperors were considered the leaders of the Christian world, as they saw themselves as the successors of the Roman emperors.
Hence, Byzantines were the Eastern Roman people or the people of the eastern region of the Roman Empire.
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______ is a phenomenon in which a person who is deprived of REM sleep during one night experiences greatly increased amounts of REM sleep the next night.
Answers
What listening strategy would you recommend to your friend who seems to be practicing selective listening because he can't seem to pay attention in his interpersonal communication class as his mind and attention often wander
Answers
Answer:
Mental bracketing
Explanation:
I would recommend mental bracketing.
In a situation where my friend always finds himself wandering, I would recommend mental bracketing because this puts thoughts aside that aren't useful to the conversation at hand.
Mental bracketing would intentionally separate those irrelevant thoughts that are intruding with the conversation of the moment. It reduces internal noise.
The fact that active participation in discussion produces more attitude change is best explained by:
A. the concept of informational influence.
B. the social role theory.
C. the cognitive miser theory.
D. a decrease in pluralistic ignorance.
Answers
The fact that active participation in discussion produces more attitude change is best explained by the concept of informational influence. Therefore, option a is the correct answer.
Informational influence: Informational influence refers to the influence of the information provided in social interactions, leading individuals to change their attitudes and beliefs. It arises because people have a fundamental desire to be accurate and to have an accurate understanding of their social environment.
The process of informational influence occurs when an individual seeks out information to resolve ambiguity or confusion about a particular situation or behavior that they have observed in others. Therefore, option a is the correct answer.
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What process is directly responsible for the net movements of k+ and mh++ into the animal cell
Answers
Facilitated diffusion process is directly responsible for the net movements of k+ and mh++ into the animal cell
What process is directly responsible for the net movements of k+ and mh++ into the animal cell?Generally, In an animal cell, the movement of potassium ions (K+) and magnesium ions (Mg++) into the cell is typically facilitated by ion channels or pumps in the cell membrane. These channels and pumps are proteins that allow ions to pass through the membrane by a process called facilitated diffusion.
Ion channels are proteins that form a pore in the cell membrane, allowing ions to pass through by diffusion. Some ion channels are selectively permeable, meaning that they allow certain ions to pass through more easily than others. For example, potassium channels are selective for K+ ions and allow them to pass through the membrane more easily than other ions.
Ion pumps are proteins that actively transport ions across the cell membrane, using energy in the form of ATP (adenosine triphosphate). One example of an ion pump is the sodium-potassium pump, which uses ATP to transport sodium ions (Na+) out of the cell and potassium ions (K+) into the cell.
Overall, the net movement of ions into and out of a cell is regulated by the balance of ion concentrations and electrical charges on either side of the cell membrane, as well as the activity of ion channels and pumps in the membrane.
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Match each group to its role in spreading Islam.
1.
Muslim missionaries
2.
Ghaznavids
3.
Arabs
Answers
Answer:
2,1,3
Explanation:
Answer:
2 first then 1 finally 3
Explanation:
What candidate did democrats from the SOUTH support?
Answers
Answer:
]The United States presidential election of 1860 formalized the split in the Democratic Party and brought about the American Civil War. Stephen Douglas was the candidate for the Northern Democratic Party, and John C. Breckinridge represented the Southern Democratic Party.
The United States presidential election of 1860 formalized the split in the Democratic Party and brought about the American Civil War. Stephen Douglas was the candidate for the Northern Democratic Party, and John C. Breckinridge represented the Southern Democratic Party.
After Reconstruction ended in the late 1870s so-called redeemers controlled all the Southern states and disenfranchised Blacks. The "Solid South" gave nearly all its electoral votes to the Democrats in presidential elections. Republicans seldom were elected to office outside some Appalachian mountain districts and a few heavily German-American counties of Texas.
When we began this course, you were asked to jot down your own idea of what "architecture" is. now that you've learned about many different ways to understand and evaluate the built environment, we'll repeat this exercise. begin by listing some of the ideas and criteria you have found most convincing this semester. of all the ideas you've heard, which ones do you consider most important, and why?
Answers
Designing and building buildings and some non-building structures for practical, aesthetic, and symbolic purposes is architecture.
Because they are associated with the civilization that produced them as well as works of art, architectural structures are frequently regarded as cultural symbols. Mastering architecture is a necessary skill. Although it can be taught, it can only be truly mastered by minds with a gift for unusual thinking.
Engineering, mechanics, and art all come together in architecture. It is that one position in which an individual must be a realist, an engineer, and an artist. The study or style of building a structure out of a variety of components is essentially architecture. From the past to the present, we use a variety of art materials to give each building a unique appearance, both on the outside and inside.
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You are serving on a jury. A plaintiff is suing the city for injuries sustained after falling down an uncovered manhole. In the trial, doctors testified that it will be 5 years before the plaintiff is able to return to work. The jury has already decided in favor of the plaintiff, and has decided to grant the plaintiff an award to cover the following items: a. Recovery of 2 years of back-pay ($34,000 for two years ago, and $36,000 for last year, which ends today). Assume that it is December 31 and that all salary is received at year end. This recovery should include the time value of money. B. The present value of 5 years of future salary. Assume that the plaintiff's salary would increase at a rate of 3 percent per year. C. $100,000 for pain and suffering. D. $20,000 for court costs. Assume an interest rate of 7 percent. What should be the size of the settlement?
Answers
The size of the settlement should be $45,000.
You must first make a claim for losses with the administration or a state body before being able to sue them. If you believe the agency is accountable for your injury, damage, or loss, you may submit a claim.
Generally speaking, you can file a lawsuit against the City of Illinois if they caused your damage and either their negligence was purposeful and wanton or it was not protected by sovereign tort liability.
Seek medical attention to make sure you get the right kind of treatment, Make contact with a lawyer who has handled accident cases that involve the city of Phoenix. assemble proof to back up your argument. Within 180 days after the injury, submit a notice of claim.
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(07.03 MC) The National Socialist (Nazi) Party did not begin to gain significant popularity in Germany until what major turning point?
Adolf Hitler became its leader.
The terms of the Treaty of Versailles were made public.
Germany left the League of Nations.
The Great Depression made the German people desperate.
Answers
Explanation:
One of the factors that helped the Nazis rise to power was propaganda. The Nazis used propaganda throughout the late 1920’s and early 1930’s to boost Hitler’s image, and, as a result of this and other aspect. (I think this might be your answer)
Answer: D
Explanation: When the Great Depression hit Germany, millions of people lost their jobs. During this time, the Nazi Party, led by Adolf Hitler, promised a better economy and the rebuilding of German national pride by making the military more powerful. This message appealed to many Germans. In 1932, the Nazi Party became the strongest in Germany, and the following year, Hitler became chancellor. He soon abolished the constitution and formed a dictatorship. Like Mussolini, Hitler ended the Depression by increasing the manufacturing of military products and enlistment in the armed forces. Unemployment decreased from six million in 1933 to a half million in 1937.
Personality disorders are best described as symptoms of distress that are not caused by biological abnormalities. symptoms of distress that are not caused by biological abnormalities. patterns of delusional and disorganized thoughts and feelings. patterns of delusional and disorganized thoughts and feelings. inflexible and enduring behavior patterns that impair social functioning. inflexible and enduring behavior patterns that impair social functioning. disruptions in conscious awareness and sense of self-identity.
Answers
Answer:
Inflexible and enduring behavior patterns that impair social functioning
Explanation:
Personality is simply a combination of temperament (genetics) + character (environment). Factors that contribute to personality includes: genetics, past experiences, present experiences, view of future.
Personality Disorderis simply a patient, not willing and not adjusting way or manner of interacting with one's environment. It is always rigid in its pattern of inner experience and its outward behavior constantly impair an individual's sense of self, emotional experiences, goals, capacity for empathy, and/or capacity for intimacy.
An activity is an element of the project that always requires time but may or may not require resources. TRUE/FALSE
Answers
An activity in a project always requires time and may or may not require resources.
An activity in a project is an element that requires time to complete. However, whether an activity requires resources or not can vary. Some activities may require additional resources such as materials, equipment, or human resources, while others may be accomplished solely with the available time. For example, if an activity involves conducting market research, it may require both time and resources such as survey tools or personnel to gather data. On the other hand, if an activity involves reviewing documents, it may only require the allocated time for reading and analysis. Therefore, the statement that an activity always requires time but may or may not require resources is true.
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explain the term umemployment
Answers
Answer: Unemployment referrers to individuals who are actively seeking a job but are unable to find a job.
Explanation: hope this helps :)
Explanation:
Unemployment means with or without a job. This word is been used more often than most times, mostly because of the pandemic (C O V I D-19).
Examples:
The news today said everyone who is qualified will get a UNEMPLOYMENT check.
Unfortunately, today I had to file for UNEMPLOYMENT because I got laid off, due to the lack of business.
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