During a rainfall, the depth of water in a rain gauge increases at a rate modeled by r(t)=0.5+tcos(πt380) r ( t ) = 0.5 + t cos ( π t 3 80 ) , where t is the time in hours since the start of the rainfall and r (t) r ( t ) is measured in centimeters per hour. how much did the depth of water in the rain gauge increase from t = 0 t = 0 to t = 3 t = 3 hours?

Answers

Answer 1

The function r(t)= 0.5 + t cos(πt³/80) is an illustration of a cosine function

The depth of water in the rain gauge increases by 1.466cm from t = 0 to t = 3

How to determine the increase in water depth?

The function is given as:

r(t)= 0.5 + t cos(πt³/80)

When t = 0, the depth of water is:

r(0)= 0.5 + 0 * cos(π *0³/80)

Evaluate

r(0) = 0.5

When t = 3, the depth of water is:

r(3)= 0.5 + 3 * cos(π *3³/80)

Evaluate

r(3)= 1.966

Calculate the difference (d) in the depths

d = r(3) - r(0)

So, we have:

d = 1.966 - 0.5

Evaluate

d = 1.466

Hence, the depth of water in the rain gauge increases by 1.466cm from t = 0 to t = 3

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Related Questions

A population of animals is split in half by a river. Before speciation is completed, the two halves are rejoined when a drought causes the river to run dry. How would this impact the two populations?

Answers

Answer:

The gene flow would increase.

Explanation:

Gene flow would increase between the two halves, and speciation would not occur.

Gene flow would increase between the two halves, and speciation would not occur

Which of these statements is true of the fourth amendment check all that apply

Answers

The true statement about the amendment includes:

its describes a fair process for searches and seizures.judge will not issue a warrant if he does not believe a causeits prohibits only "unreasonable" searches and seizures

What is the fourth amendment?

This is a legislation that that protected the people from unreasonable searches and seizures by the government.

Hence, by virtue of this, the Amendment describes a fair process for searches and seizures, all judge will never issue warrant once he do not believe there is probable cause and the Amendment prohibits only "unreasonable" searches and seizures.

Therefore, the Option B, D and E is correct.

Missing options "A police officer can search someone's home, so long as a judge is present, The Fourth Amendment describes a fair process for searches and seizures, A police officer may seize anything he or she finds suspicious, A judge will not issue a warrant if he or she does not believe there is probable cause, The Fourth Amendment prohibits only "unreasonable" searches and seizures."

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Answer: B.) The Fourth Amendment describes a fair process for searches and seizures.

D.) A judge will not issue a warrant if he or she does not believe there is probable cause.

E.) The Fourth Amendment prohibits only “unreasonable” searches and seizures.

Explanation: yas

In the context of the story, the excerpt is ironic because billy's father is actually a very good baseball player. named his son after a baseball player. stayed away from the playoffs. is more concerned about the family's vacation.

Answers

Answer:

named his son after a baseball player.

Explanation:

What number is represented by point p? please type your answer as a decimal number.

Answers

Answer:

3.14

Explanation:

point p or greek symbol pi means 3.14

The national organization for women wanted the us government to promote workplace equality by outlawing maternity leave. Awarding women settlements of back pay. Passing title ix. Allowing tax deductions for child care

Answers

Answer:

Title 9 I'm pretty sure

Explanation:

The national organization for women wanted the US government to promote workplace equality by allowing tax deductions for child care.

What is national organization for women?

The National Organization for Women (NOW) is a feminist organisation in the United States that was founded in 1966.

Its mission is to promote gender equality and women's rights, including reproductive rights, workplace discrimination, and violence against women.

NOW has been a key player in many of the most important women's rights movements in the United States, including the fight for the Equal Rights Amendment, abortion rights, and the fight against intimate harassment and assault.

In addition, the organisation has been involved in political advocacy, advocating for legislation that promotes women's rights and endorsing political candidates who support their agenda.

Thus, the National Organization for Women urged the United States government to promote workplace equality by allowing tax breaks for child care.

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What is the main similarity between "on virtue" and frost’s poem "mending wall"? both use everyday language. Both use a similar rhyme scheme. Both use free verse. Both use blank verse

Answers

Answer:

D on edge both use blank verse

Explanation:

The main similarity between "on virtue" and frost’s poem "mending wall" is that both use blank verse.

What is on virtue about?

The poem on virtue" is a poem that talks about a lot of subjects such as Religious and Moral.

Conclusively, Note that the “On Virtue” is said to be a short poem that tells on about evangelical conversion and when view along with frost’s poem "mending wall" is that both use blank verse.

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Two sides of the triangle are 13 and 51. what is the range of the length of the 3rd side?

Answers

The range that the third side of the given triangle will fall within is: 38 < 3rd side <64.

How to Find the Range of a Side of a Triangle?

If we are given two sides of a triangle, to find the range of the possible length of the third side, simply add both given sides and subtract both given sides to get the range the length of the third side will fall in.

Given a triangle has lengths, 13 and 51, the possible length of the third side would be:

51 - 13 = 38

51 + 13 = 64

Range would be, 38 < 3rd side <64.

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Referring to the same number 7, if m

Answers

Answer:

7m

Explanation:

7.m

When white light is passed through a diffraction grating, the color closest to the center bright spot corresponds to ?

Answers

do you have multiple choices or no?

Define the electronegativity. explain the trend of electronegativity in periodic table.

Answers

Answer:

1. Electronegativity is the property of an atom that attracts the shared pair of an electron to itself.

2. Electronegativity increases and decrease. It increases when to you from to the side or across of a period because the number of charge in the nucleus increases. Electronegativity decreases when you move down in a group because the electrons move farther or become far from the nucleus's pull.

Explanation:

I hope it helps! Have a great day!

pan~

Based on the information in this graphic organizer, what is the research question the researchers wanted to explore? (site 1)

Answers

Graphic organizers are the representation of the content in a diagrammatical manner. The question that the researcher wanted to explore is, whether a person's position and environment affect his personality.

What is a graphic organizer?

A graphic organizer represents the concept diagram, concept map, cognitive organizer, etc. that uses the symbols and diagrams to show the context matter.

The graphic organizer is used to study the change in behavior of the students who were assigned different roles in prison. The researchers wanted to analyze the effect of the job roles and environment on the student.

Therefore, the roles and environment of the job were analyzed.

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In the song, the heaviest baby weighed 10 pounds at birth. 10 pounds is the

Answers

if the heaviest baby was 10 pounds, 10 pounds could be defined as the maximum

For this question, we are concerned with the movement of an object along a path in the plane. we are assuming that the plane is a coordinate plane and the object starts at the point. as the object moves along the path, each point on that path has two coordinates. the coordinates depend on the distance traveled along the path. let us call this distance s, the length of the path from the origin to a point p on the path.

Answers

The value of s that will be able to yield the coordinate (4, 3) is 5.

How to find the value?

From the information given, in order to find the value of s, we'll use the Pythagoras theorem. This goes thus:

OA = ✓4² + ✓3²

OA = ✓(16 + 9)

OA = ✓25

OA = 5

Therefore, value of s that will be able to yield the coordinate (4, 3) is 5.

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There are six books in a stack, and each book weighs 5 n. The coefficient of friction between the books is 0. 2. With what horizontal force must one push to start sliding the top five books off the bottom one?

Answers

The answer would be 5N

For each point, name the quadrant in which it lies or the axis on which it lies. (−33, 47)

Answers

Answer:

Quadrant  2

Explanation:

Quadrants have specific xs and ys that are either positive or negative. Quadrant 2 has a negative x and a positive y.

This excerpt is most directly related to which of these? a) japanese wartime atrocities, nazi concentration camps, and the holocaust b) concerns surrounding the soviet annexation of latvia, lithuania, and estonia c) the roosevelt corollary, imperialism, and foreign involvement in latin america d) concerns regarding the rise of fascism and military aggression in europe and the pacific

Answers

The excerpt is mostly related to; Concerns regarding the rise of fascism and military aggression in Europe and the Pacific

What is the Meaning of the Excerpt?

From the given excerpt as seen online, we see the statement being made that enduring peace cannot be bought at the cost of other people's freedom.

The statement above and others in the quoted text made in the question bother on fascism and military agression and as such, we can conclude that the excerpt is most directly related to Concerns regarding the rise of fascism and military aggression in Europe and the Pacific.

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What is the average power developed by a motor as it lifts a 400

Answers

Answer:

4905 watts

Explanation:

it should be 4905 watts, my mistake if this is false.

Payday loans are known for trapping borrowers in ""an endless cycle of debt. "" explain what this means and how it happens

Answers

Payday loans are granted at a high-interest rate and are considered the trapping of the borrower.

What is a payday loan?

A payday loan is given as a loan granted to the borrower at the high-interest rates based on the income of the borrower. These loans are granted for a short period of time.

With the use of these loans by the lender to make high profits over the loan, the payday loans are considered as the trapping cycle that results in endless debt.

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Choose the best spanish word to complete the sentence. tú __________ el programa de computación. viste vió vieron visten

Answers

According to the context, the correct word to complete the sentence is "viste", viste el programa de computación.

How to complete Spanish sentences?

To correctly complete a sentence, the words must be ordered in a way that makes complete sense.

It is necessary to make the subject of the sentence agree with the verb, that is to say that the selected conjugation is the appropriate one for the verb in question.

In the sentence "tú viste el programa de computación", the verb "viste" coincides in meaning and conjugation with the subject.

Therefore, we can conclude that according to the context, the correct word to complete the sentence is "viste", viste el programa de computación.

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Answer: viste

Explanation: edge

A customer buys a cd for $15 and a video game. The customer pays a total of $42. 80 for the two items, which includes 7% sales tax. Which equation can be used to find x, the cost of the video game before tax? 0. 07 (15 + x) = 42. 80 0. 07 (42. 8 minus 15) = x 1. 07 (15 + x) = 42. 80 1. 07 (42. 8 minus 15) = x

Answers

Answer:

Well my reasonable answer was 6478-7.,4x=564 but correct me if im wrong

Explanation:

(___________) are financial aid offered to students
who qualify to borrow money to pay for college.The money must be repaid and usually with interest after you graduate from college.
A. Grants
B. Scholarships
C. Loans
D. Banks

Answers

Answer: Loans

Explanation:

Loans is  a thing that is borrowed, especially a sum of money that is expected to be paid back

Tone should not be confused with _____ which refers to the feeling the reader gets from the writer’s words.

Answers

Answer:

Mood

Explanation:

...................

True or false: the south had fewer schools, lower literacy levels, and poorer basic services than the north in the early 20th century.

Answers

Answer:

True!

Explanation:

As used in line 7 (“relevant”) , the word “relevant” most nearly means
Choose 1 answer:
connected.
linked.
useful.
pertinent.

Answers

Answer:

d) pertinent

Explanation:

Assuming that this is the same 'line 7' from your other question that read '“Although air is mostly nitrogen, this gaseous form of nitrogen is inaccessible to plants and must be “fixed” from the air into ammonium to render it biologically relevant”) ("Although . . . relevant")' , i believe the answer is d) pertinent [in other words, suitable or fitting]

Now you should be prepared to write a draft of your essay. think back to your prompt, and complete this checklist to make sure you’re ready. check all that apply to you. i know which side i am arguing. i’ve chosen evidence to support my claim. my evidence and reasons are appropriate for the task and purpose. my evidence and reasons appeal to logic by using facts, details, and statistics. i’ve identified a counterargument, and i know how i will respond to it. i have a strong outline.

Answers

Essay writing is given to students in order to test their writing, reading skills, and knowledge of a topic.

How to write an essay?

Based on the information given, the way to write the essay will be given. Firstly, it's important to decide on your topic.

Research should be done on the topic and create an essay outline. Set your argument in the introduction and develop it with evidence.

Finally, check the content, grammar, formatting, and spelling, of your essay.

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Answer:

You can put all of them it'll give you the score anyway

Explanation:

To add emphasis to the idea that this object is different than other recent objects discussed, an audio version of this text could have a pause after "this suffragette." after "recent objects." before "mass consumption." before "this one is about."

Answers

In order to add emphasis to the idea that this object is different, an audio version of this text could have a pause before "this one is about."

What is text structure?

Text structure can be defined as a group of words that are used to describe how an author or a writer organizes his or her words in a literary work.

In this scenario, you should have a pause before "this one is about." when you are creating an audio version of the text in the excerpt, so as to add emphasis to the idea that this object differs from the other recent objects that were discussed by the writer.

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Answer: D

Explanation: On edge

Which is the best conclusion someone can draw from this graph? all income groups vote at roughly the same percentage. Citizens with higher incomes are more likely to vote. People with mid-level income vote at the highest rates. Income level is not related with voter turnout

Answers

The best conclusion which can be drawn from the graph is that the citizens with higher incomes are more likely to vote.

What is histogram?

A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle, similar to a bar graph.

The provided graph, shows voter turnout by family income in 2016 election. Here in the graph,

X-axis is labeled with income in a thousand of U.S. dollars.Y-axis is labeled with percentage voted in 2016 election.

Here, the length of the histogram is increasing with the income of the family. This represents that the citizen with higher incomes are more likely to vote.

Thus, the best conclusion which can be drawn from the graph is that the citizens with higher incomes are more likely to vote.

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Answer:

B on Edge

Explanation:

I got it right.

What does tromp l’oeil arch mean? a. rounded arch b. secret arch c. fool the eye arch d. eye of the needle arch please select the best answer from the choices provided a b c d

Answers

The tromp l’oeil arch means to fool the eye arch (Option C). It is French for 'deceive the eye'.

What does tromp l’oeil arch mean?

Tromp l’oeil arch can be translated in the French language as 'deceive the eye' and involves an optical illusion.

The tromp l’oeil arch involves an optical illusion related to the shape of objects in tridimensional perception (3D).

The tromp l’oeil arch effect is well known in painting art and involves similarity for the viewer.

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Answer:

c

Explanation:

It describes the physical and social elements common to this work. note that common contexts are listed toward the top, and less common contexts are listed toward the bottom. according to o*net, what are common work contexts for reporters and correspondents? check all that apply.exposed to hazardous conditionstelephonecontact with otherselectronic mailface-to-face discussionsin an open vehicle or equipment

Answers

The physical and social elements that are involved with the reporters and the correspondents telephone, contact with others, electronic mail and the face to face discussion.

What is the role of reporters and correspondents?

The reporters and the correspondents are the individuals that act as in collecting the data and broadcasting them.

The elements that are corresponded to the reporters and correspondents are telephone, direct contact with the individuals, electronic mails, and the face to face discussion.

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Answer:

2 3 4 5

Explanation:

UwU

A cube has a lateral area of 9 square centimeters. What is the length of each edge of the cube? 1. 5 cm 1. 5 cm2 2. 25 cm 2. 25 cm2

Answers

Answer:

1.5 cm

Explanation:

0    0

\____/

Answer:

1.5 cm

Explanation:

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