please help me on the other ones I did one of them

Please Help Me On The Other Ones I Did One Of Them

Answers

Answer 1

Answer:

PLease show your assignment with a better picture for support.

Explanation:


Related Questions

What is the educated guess of the answer to a question called?
O A. An analysis
O B. A hypothesis
O C. A conclusion
O D. An experiment

Answers

Answer:

Hypothesis

Explanation:

A supposition or a supposed explanation made on the basis of no evidence

It’s b hope this help you

Explain the purpose of inferential statistics and how samples and populations are utilized to fulfill this purpose explain how a sample is chosen, and why it is chosen in this manner.

Answers

Answer:

Inferential statistics lets you draw conclusions about populations by using small samples. Consequently, inferential statistics provide enormous benefits because typically you can’t measure an entire population. Sampling distributions are important for inferential statistics. In practice, one will collect sample data and, from these data, estimate parameters of the population distribution. Thus, knowledge of the sampling distribution can be very useful in making inferences about the overall population.

Explanation:

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A grocer thought her eggs needed safer packaging.
She counted the number of intact eggs in
24
2424 cartons from the cooler. The dot plot below shows her results:
A dot plot with an axis titled Number of intact eggs and numbered from 6 to 12. Value: 6, count: 1. Value: 10, count: 1. Value: 11, count: 1-. Value: 12, count: 12.
Describe the distribution of intact eggs.

Answers

The dot plot shows that the majority of the intact eggs in the sample were in cartons with 12 eggs, as there are 12 dots for that value. There is also one dot each for cartons with 6, 10, and 11 intact eggs. Overall, the distribution appears to be skewed to the right, with the majority of the data clustered at the high end of the range (12 intact eggs per carton). The distribution is not perfectly symmetrical, and there are no values between 7 and 9, which suggests that some values may be missing or underrepresented in the sample.
The dot plot shows that the grocer counted the number of intact eggs in 24 cartons and recorded the data in the plot. The horizontal axis is labeled "Number of intact eggs" and is numbered from 6 to 12. The vertical axis shows the frequency or count of each number of intact eggs.

From the plot, we can see that the majority of cartons have 12 intact eggs, as there are 12 dots in the column for 12. There is only one carton with 6 intact eggs, one carton with 10 intact eggs, and one carton with 11 intact eggs.

Overall, the distribution of intact eggs appears to be skewed to the right, as the majority of cartons have 12 intact eggs and there are only a few cartons with fewer intact eggs. The distribution is also unimodal, as there is only one peak at 12 intact eggs.


:)

what is the volume of the right triangular prism?

what is the volume of the right triangular prism?

Answers

Answer:

288 cm

Explanation:

You should multiply 4 times 6 = 24, and then multiply 24 by 12 = 288

Estuary provides refuge after dam removal for bull trout
Bull trout use a bewildering array of strategies to aid in their survival, from remaining in streams their whole lives, like rainbow trout, to spending part of their lives in the ocean before returning to
streams to spawn, just as salmon do.
Bull trout are present in only one of two neighboring rivers in the Olympic peninsula, Washington state, and in this one (the Elwha River), where two large dams were removed. Dam removal resulted
in massive outflow of sediments, reducing the clarity of the water and also building up a large delta and expanding the size of the estuary at the mouth of the Elwha River.
Sampling for bull trout before, during, and after dam removal was used to detect whether bull trout changed their use of the Elwha River estuary or moved into the adjacent Salt Creek stream where
they were formerly absent. Sampling revealed no movement into Salt Creek, but numbers of bull trout in the Elwha River estuary increased greatly during and immediately after dam removal,
coinciding with large sediment outflow, before returning to their original low levels. Thus, bull trout appear to have used the enlarged estuary as a refuge from the effects of dam removal, then
returning to the river when the river water cleared up from the sediment
Of additional interest is the long-term response of bull trout to the additional habitat opened up above the former dams.
Lincoln, A. E. J. A. Shaffer, and T. P. Quinn. 2018. Opportunistic use of estuarine habitat by juvenile ENI Trout, Salvelinus confluentus, from the Elwha River before, during, and after dam removal.
Environmental Biology of Fishes 101:1559-1569
Which of the following best identifies the author's claim?

Answers

Answer:

Bull trout are unable to live in high sediment loaded waters and migrated to avoid the conditions introduced during dam deconstruction.

The option that identifies the author's claim is that D. Bull trout are unable to live in high sediment loaded waters and migrated to avoid the conditions introduced during dam deconstruction.

The claim of a passage is the idea that's conveyed by the author to the readers or audience. It's simply what the author wants the people to know.

From the passage, the claim is that bull trout are unable to live in high sediment loaded waters and migrated to avoid the conditions introduced during dam deconstruction.

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(Federalist 70) Explain how a president might use the ideas in this document—especially unity and energy—to support a presidency with expanded powers.

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Making treaties, commanding the military forces, choosing Supreme Court judges, and vetoing laws are a few examples.

Ideas of President to support a presidency with expanded powers

Presidents in the modern era have increased their power primarily through three channels: party, popular mobilization, and administration. Presidents frequently use political institutions and leaders to influence the legislative process because they see their own party as a source of power.

Making treaties, leading the armed forces, selecting justices for the Supreme Court, and overriding legislation are a few examples. powers that presidents say are required to carry out the law. Executive agreements and the issuance of executive orders are two examples.

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Which organization was created as a result of government policies related to globalization? UNESCO
NAFTA
UNICEF
NATO
FEMA​

Answers

The organization that is created as a result of government policies related to globalization is NATO. The correct option is D.

What is NATO?

NATO is a North American and European security alliance founded in 1949 with the signing of the Washington Treaty.

NATO's primary goal is to protect the Allies' freedom and security through political and military means.

NATO is a coalition of European and North American countries. It provides a unique link between these two continents, allowing them to consult and collaborate in the fields of defense and security, as well as conduct multinational crisis-management operations.

Thus, the correct option is D.

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What would you do?
You're a news reporter who is covering a breaking news story. A hit-and-run driver has run over
and injured a six-year-old girl. With some help from your news helicopter, you manage to catch
up with and corner the driver before the police have arrived. You start to question the driver
and, at first, he begins to answer your questions. Then, as police arrive, he turns and starts to
run away. Do you:
A. Chase him down and hold him for the police? OR
B. Let him go and report what happens?
Explain your answer. Write five sentences. Write on the back, if necessary.​

Answers

Answer: B

Explanation:

The reason why I would pick B is because what if they are armed and dangerous. What if you aren't that fast and you lose him. I would wait for the Police because it is there job to hunt down the bad guys and chase them. Also what if you question him and he lies and tries to get away because you aren't strong enough. And what if he tries to hijack another car.

But at they same time he was about to answer the question.

What should we do about small businesses being destroyed in these current riots?

Answers

Hire armed to protect them
Make sure they are secure and help out to protect them, and if they are destroyed, start a go fund me or a donations to help them out, or petitions so the city can at least give them $500 to help out

HELP I FORGOT TO DO MY AP CHEM HW AND I DON’T EVEN KNOW HOW TO DO IT

HELP I FORGOT TO DO MY AP CHEM HW AND I DONT EVEN KNOW HOW TO DO IT

Answers

Answer:

I cant really see it upload a better picture and maybe then I can solve it

Explanation:

its too small

Estimate a 20% tip for a bill total of $21.80

Answers

Answer:

The tip would be $4.36 I believe

Convert 15 to per cent​

Answers

Answer:

15%

Explanation

to make any number percent just and a 100 as a denominator

making it 15/100 then we multipy the result is 1500 percent, or, using the percent sign, 1500 %. Put simply, to change 15 to % move the ″.″ two places to the right.

If Congress adheres to a libertarian economic policy, which of the following measures would it most likely employ during an economic recession?

Answers

Answer:

A constitutional amendment that prohibits the federal government from creating government subsidies and bailouts to businesses.

Measures to be employed during economic recession is A constitutional amendment that prohibits the federal government from creating government subsidies and bailouts to businesses.

What is economic recession?

A recession is a business cycle contraction that occurs when there is a broad fall in economic activity. Recessions often arise when consumer spending falls dramatically.

Economic recessions can be triggered by a variety of factors, including a loss of consumer confidence, rising interest rates, a stock market crash, and the bursting of asset bubbles.

If Congress follows a libertarian economic strategy, a constitutional amendment prohibiting the federal government from providing government subsidies and bailouts for firms will almost certainly be used during an economic downturn.

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The uninsured motorist fee
Options:
provides you with insurance coverage in the event of a crash
allows you to drive an uninsured vehicle
pays when you are the victim of a crash involving an uninsured vehicle
none of the above

Answers

The uninsured motorist fee does not provide you with insurance coverage in the event of a crash, allow you to drive an uninsured vehicle, or pay when you are the victim of a crash involving an uninsured vehicle. Therefore, the correct option is "none of the above."

The uninsured motorist fee is a specific fee that is required in some states for individuals who choose not to purchase auto insurance. Instead of buying insurance coverage, they pay this fee as an alternative. However, it is important to note that the fee itself does not provide any insurance benefits or coverage. It is simply a fee that exempts individuals from the legal requirement of having auto insurance in those particular states.

While the fee may allow you to legally drive an uninsured vehicle by fulfilling the state's requirements, it does not offer any financial protection or coverage in the event of a crash. If you are involved in an accident with an uninsured motorist, you would not have the benefit of insurance coverage from the fee. It is always advisable to have proper auto insurance to protect yourself financially in case of accidents.

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in an analysis essay do you entertain persuade or inform the reader?

Answers

in an analysis essay you inform the reader.

who wants to help a brotha out

who wants to help a brotha out

Answers

Using the balanced equation, The grams of \(Al_2O_3\) are produced from 0.85 moles of \(Al(OH)_3\) is 2(0.85) moles x 102 g/mole. The correct option is A.

To decide the quantity of  \(Al_2O_3\)  created from 0.85 moles of  \(Al(OH)_3\) , we want to apply the stoichiometry of the balanced equation.

\(2 Al(OH)_3 --- > Al_2O_3 + 3 H_2O\)

From the equation, we will see that 2 moles of  \(Al(OH)_3\)  produce 1 mole of Al2O3.

To convert moles of  \(Al(OH)_3\)  to moles of  \(Al_2O_3\) , we use the conversion factor:

1 mole  \(Al_2O_3\)  / 2 moles  \(Al(OH)_3\)

Now we can calculate the moles of  \(Al_2O_3\)  made from 0.85 moles of  \(Al(OH)_3\) :

Moles of  \(Al_2O_3\)  = 0.85 moles  \(Al(OH)_3\)  × (1 mole  \(Al_2O_3\)  / 2 moles  \(Al(OH)_3\)

Moles of  \(Al_2O_3\)  = 0.85 moles  \(Al(OH)_3\)  / 2

Molar mass of  \(Al_2O_3\)  = (2 × atomic mass of Al) + (3 × atomic mass of O)

Molar mass of  \(Al_2O_3\)  = (2 × 27.0 g) + (3 × 16.0 g)

Molar mass of  \(Al_2O_3\)  = 54.0 g + 48.0 g

Molar mass of  \(Al_2O_3\)  = 102.0 g/mol

Mass of  \(Al_2O_3\)  = Moles of  \(Al_2O_3\)  × Molar mass of  \(Al_2O_3\)

Mass of  \(Al_2O_3\)  = (0.85 moles  \(Al(OH)_3\)  / 2) × 102.0 g/mol

Mass of  \(Al_2O_3\)  = 0.425 moles × 102.0 g/mol

Mass of  \(Al_2O_3\)  = 43.35 g

Thus, the correct option is A.

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Explain how supranationalist organization membership can limit sovereignty of member states.

Answers

The way that supernationalist organization membership can limit sovereignty of member states is that : Members of supranational organizations, such as the EU and World Trade Organization, consent to giving up some of their sovereignty.

What steps does a state need to take in order to join a supranational organization?

Member states do have to give up some sovereignty because the organization is supranational.

Military alliances aid states in fending off common foes, and economic alliances promote free trade on a greater scale. Supranational organizations are another name for these coalitions, and they always include states ceding some of their sovereign authority in the name of the greater good.

Therefore, In order to establish worldwide laws governing nations' affairs and avoid wars, a supranational body is a viable option. Countries that belong to supranational organizations like the EU and World Trade Organization consent to give up some of their sovereignty to the group on certain matters.

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Describe another set of criteria that could be used to divide the United States into regions, and include which type of region it is in your description. (3-4 sentences)

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Another set of criteria that could be used to divide the United States into regions are geopolitical zones.

What is geopolitical zones in US?

A known method of knowing regions in the United States is said to be by grouping them into 5 regions based on their geographic position in the continent. They are:

NortheastSouthwestWest SoutheastMidwest.

Therefore, Another set of criteria that could be used to divide the United States into regions are geopolitical zones.

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Answer:

It could be divided by perspective region

Explanation:

A profeional and board member, we are now judged by different tandard not only our academic qualification and training. Dicu what i meant by thi tatement

Answers

Qualification Standards are descriptions of the minimum requirements for successfully and safely performing work in a specific occupation.

What exactly are qualification standards, and why do they matter?

The rules establish qualification standards, which are the minimum and fundamental requirements for government positions in terms of education, training, experience, Civil Service eligibility, physical fitness, and other qualities required for successful performance of the duties of the position.

It can help you update your skills, abilities, and knowledge by directing your participation in continuing professional development. A professional qualification can show employers that you have the specialized knowledge for a position, potentially leading to more job opportunities.

Qualifications are useful because they highlight skills. It is confidently assumed that a high school diploma holder can read and understand instructions and perform calculations, and that those with university degrees can do much more.

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Dividing Fractions and finding the value of X

1) 3067/6730 + 9085/70097 = ?

2) 205800/45097 + 98 -10 * 24 * 80050 - 100+1080 - 25x - 25x/254x
what is x?
3) 345x + (-100)= 987x (- 60/216 +88)

i don't know how to do this
:'D
pls halp

Answers

Answer:

C.)0.5853267 ; D.)251.25169

Explanation:

3067/6730 + 9085/70097

0.4557206 + 0.1296061 = 0.5853267

205800/45097 + 98 -10 * 24 * 80050 - 100+1080 - 25x - 25x/254x

4.5634964 + 98 - 19212000 - 100 + 1080 - 25x - 25x/254x

4.5634964 + 98 - 19212000 - 100 + 1080 - 25x - 25x/254x

C.)

345x + (-100)= 987x (- 60/216 +88)

345x - 100 = 987x(87.722222)

345x - 100 = 86581.833

345x = 86581.833 + 100

345x = 86681.833

x = 86681.833 / 345

x = 251.25169

Problem 1. 2, here's a table from the previous screen describe any patterns you notice on the table

Answers

Here is the table given in the previous screen.    x   y    1   4    2   7    3   10    4   13    5   16    6   19    7   22    8   25    9   28    10   31The data set in the table above is known as a linear function.

A linear function is one in which the data points lie on a straight line. If you examine the data set, you'll notice that the slope is equal to 3, which means that for every increase of 1 in the x value, the y value increases by 3. The graph of this equation would be a straight line that goes upward. As the value of x increases, the value of y increases as well, and the two variables are proportional.

The relationship between x and y is thus linear.  Therefore, in the given table, we notice a pattern that shows how the value of y is related to the value of x. As x increases, y also increases in a linear fashion, and we can calculate y by using the equation y=3x +1.

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In the first sentence of the passage, the clause set off by dashes (“she adopted . . . sell”) serves primarily to explain Rowling's reversal

Answers

There are different types of clauses and some of them are:

Noun clauseAdjectival clauseAdverbial clause, etc.

What is a Clause?

This refers to the group of words which has a subject and verb and gives additional information about the sentence.

Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.

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_____ offer bachelor's degrees.

A. Community colleges
B. Four-year colleges
C. Junior colleges
D. Early colleges

the answer is B :)

Answers

B. Four-year colleges

when the earth's plates shift the result is what?​

Answers

Answer: Earthquakes, volcanoes and mountains.

Pls mark brainleist i really need it
when the earth's plates shift the result is what?

Answer:

earthquakes, volcanoes, mountains, eruption

According to Freud, which of the following is true? A. the id mediates between the ego and the super-ego B. the super-ego mediates between the id and the ego C. the ego mediates between the id and the super-ego​

According to Freud, which of the following is true? A. the id mediates between the ego and the super-ego

Answers

Answer:

Its C- the ego mediates between the id and super-ego

Explanation:

The id is like your instincts and impulses, whereas your super-ego is like your morals and conscience. The ego is the reality check that controls both of them.

It says it in the reading as well :)

Hope this helps!

Na oração: "José de Alencar, *romancista brasileiro*, nasceu no Ceará", qual o nome da função sintática destacada?

Answers

Which statement reflects the status of Florida during the Civil War?

The Confederacy ceded Florida to the Union army midway through the war.

The Confederacy maintained control of Florida throughout the war.

The Union took coastal strongholds, but the Confederacy kept the interior.

The Union took much of the north, but the Confederacy held the south.

Solve the following differential equation with initial conditions: y''=e^-2t+10e^4t ; y(0)=1, y'(0)=0​

Solve the following differential equation with initial conditions: y''=e^-2t+10e^4t ; y(0)=1, y'(0)=0

Answers

Answer:

Option A.  \(y = \frac{1}{4} e^{-2t} + \frac{5}{8} e^{4t} - 2 t + \frac{1}{8}\)

Explanation:

This is a second order DE, so we'll need to integrate twice, applying initial conditions as we go.  At a couple points, we'll need to apply u-substitution.

Round 1:

To solve the differential equation, write it as differentials, move the differential, and integrate both sides:

\(y''=e^{-2t}+10e^{4t}\)

\(\frac{dy'}{dt}=e^{-2t}+10e^{4t}\)

\(dy'=[e^{-2t}+10e^{4t}]dt\)

\(\int dy'=\int [e^{-2t}+10e^{4t}]dt\)

Applying various properties of integration:

\(\int dy'=\int e^{-2t} dt + \int 10e^{4t}dt\\\int dy'=\int e^{-2t} dt + 10\int e^{4t}dt\)

Prepare for integration by u-substitution

\(\int dy'=\int e^{u_1} dt + 10\int e^{u_2}dt\), letting \(u_1=-2t\) and \(u_2=4t\)

Find dt in terms of \(u_1 \text{ and } u_2\)

\(u_1=-2t\\du_1=-2dt\\-\frac{1}{2}du_1=dt\)     \(u_2=4t\\du_2=4dt\\\frac{1}{4}du_2=dt\)

\(\int dy'=\int e^{u_1} dt + 10\int e^{u_2}dt\\\int dy'=\int e^{u_1} (-\frac{1}{2} du_1) + 10\int e^{u_2} (\frac{1}{4} du_2)\\\int dy'=-\frac{1}{2} \int e^{u_1} (du_1) + 10 *\frac{1}{4} \int e^{u_2} (du_2)\)

Using the Exponential rule (don't forget your constant of integration):

\(y'=-\frac{1}{2} e^{u_1} + 10 *\frac{1}{4}e^{u_2} +C_1\)

Back substituting for \(u_1 \text{ and } u_2\):

\(y'=-\frac{1}{2} e^{(-2t)} + 10 *\frac{1}{4}e^{(4t)} +C_1\\y'=-\frac{1}{2} e^{-2t} + \frac{5}{2}e^{4t} +C_1\\\)

Finding the constant of integration

Given initial condition  \(y'(0)=0\)

\(y'(t)=-\frac{1}{2} e^{-2t} + \frac{5}{2}e^{4t} +C_1\\0=y'(0)=-\frac{1}{2} e^{-2(0)} + \frac{5}{2}e^{4(0)} +C_1\\0=-\frac{1}{2} (1) + \frac{5}{2}(1) +C_1\\-2=C_1\\\)

The first derivative with the initial condition applied: \(y'(t)=-\frac{1}{2} e^{-2t} + \frac{5}{2}e^{4t} -2\\\)

Round 2:

Integrate again:

\(y' =-\frac{1}{2} e^{-2t} + \frac{5}{2}e^{4t} -2\\\frac{dy}{dt} =-\frac{1}{2} e^{-2t} + \frac{5}{2}e^{4t} -2\\dy =[-\frac{1}{2} e^{-2t} + \frac{5}{2}e^{4t} -2]dt\\\int dy =\int [-\frac{1}{2} e^{-2t} + \frac{5}{2}e^{4t} -2]dt\\\int dy =\int -\frac{1}{2} e^{-2t} dt + \int \frac{5}{2}e^{4t} dt - \int 2 dt\\\int dy = -\frac{1}{2} \int e^{-2t} dt + \frac{5}{2} \int e^{4t} dt - 2 \int dt\\\)

\(y = -\frac{1}{2} * -\frac{1}{2} e^{-2t} + \frac{5}{2} * \frac{1}{4} e^{4t} - 2 t + C_2\\y(t) = \frac{1}{4} e^{-2t} + \frac{5}{8} e^{4t} - 2 t + C_2\)

Finding the constant of integration :

Given initial condition  \(y(0)=1\)

\(1=y(0) = \frac{1}{4} e^{-2(0)} + \frac{5}{8} e^{4(0)} - 2 (0) + C_2\\1 = \frac{1}{4} (1) + \frac{5}{8} (1) - (0) + C_2\\1 = \frac{7}{8} + C_2\\\frac{1}{8}=C_2\)

So, \(y(t) = \frac{1}{4} e^{-2t} + \frac{5}{8} e^{4t} - 2 t + \frac{1}{8}\)

Checking the solution

\(y(t) = \frac{1}{4} e^{-2t} + \frac{5}{8} e^{4t} - 2 t + \frac{1}{8}\)

This matches our initial conditions here \(y(0) = \frac{1}{4} e^{-2(0)} + \frac{5}{8} e^{4(0)} - 2 (0) + \frac{1}{8} = 1\)

Going back to the function, differentiate:

\(y' = [\frac{1}{4} e^{-2t} + \frac{5}{8} e^{4t} - 2 t + \frac{1}{8}]'\\y' = [\frac{1}{4} e^{-2t}]' + [\frac{5}{8} e^{4t}]' - [2 t]' + [\frac{1}{8}]'\\y' = \frac{1}{4} [e^{-2t}]' + \frac{5}{8} [e^{4t}]' - 2 [t]' + [\frac{1}{8}]'\)

Apply Exponential rule and chain rule, then power rule

\(y' = \frac{1}{4} e^{-2t}[-2t]' + \frac{5}{8} e^{4t}[4t]' - 2 [t]' + [\frac{1}{8}]'\\y' = \frac{1}{4} e^{-2t}(-2) + \frac{5}{8} e^{4t}(4) - 2 (1) + (0)\\y' = -\frac{1}{2} e^{-2t} + \frac{5}{2} e^{4t} - 2\)

This matches our first order step and the initial conditions there.

\(y'(0) = -\frac{1}{2} e^{-2(0)} + \frac{5}{2} e^{4(0)} - 2=0\)

Going back to the function y', differentiate:

\(y' = -\frac{1}{2} e^{-2t} + \frac{5}{2} e^{4t} - 2\\y'' = [-\frac{1}{2} e^{-2t} + \frac{5}{2} e^{4t} - 2]'\\y'' = [-\frac{1}{2} e^{-2t}]' + [\frac{5}{2} e^{4t}]' - [2]'\\y'' = -\frac{1}{2} [e^{-2t}]' + \frac{5}{2} [e^{4t}]' - [2]'\)

Applying the Exponential rule and chain rule, then power rule

\(y'' = -\frac{1}{2} e^{-2t}[-2t]' + \frac{5}{2} e^{4t}[4t]' - [2]'\\y'' = -\frac{1}{2} e^{-2t}(-2) + \frac{5}{2} e^{4t}(4) - (0)\\y'' = e^{-2t} + 10 e^{4t}\)

So our proposed solution is a solution to the differential equation, and satisfies the initial conditions given.

Answer:

\(\textsf{A.} \quad y=\dfrac{1}{4}e^{-2t}+\dfrac{5}{8}e^{4t}-2t+\dfrac{1}{8}\)

Explanation:

Given:

\(\begin{cases}y''=e^{-2t}+10e^{4t}\\y\:\!(0)=1\\y'(0)=0\end{cases}\)

To find y', integrate y'' and use the condition y'(0) = 0.

\(\begin{aligned}\displaystyle y'=\int y''&=\int e^{-2t}+10e^{4t}\; dt\\\\&=\int e^{-2t}\; dx+10 \int e^{4t}\; dt\\\\&=-\dfrac{1}{2}e^{-2t}+10\cdot \dfrac{1}{4}e^{4t}+C\\\\&=-\dfrac{1}{2}e^{-2t}+\dfrac{5}{2}e^{4t}+C\end{aligned}\)

To find the value of the constant of integration, C, substitute the given condition y'(0) = 0:

\(\begin{aligned}\displaystyle y'(0)&=0\\\\-\dfrac{1}{2}e^{-2(0)}+\dfrac{5}{2}e^{4(0)}+C&=0\\\\-\dfrac{1}{2}(1)+\dfrac{5}{2}(1)+C&=0\\\\-\dfrac{1}{2}+\dfrac{5}{2}+C&=0\\\\2+C&=0\\\\C&=-2\end{aligned}\)

Therefore, the equation for y' is:

\(y'=-\dfrac{1}{2}e^{-2t}+\dfrac{5}{2}e^{4t}-2\)

To find y, integrate y' and use the condition y(0) = 1:

\(\begin{aligned}\displaystyle y=\int y'&=\int -\dfrac{1}{2}e^{-2t}+\dfrac{5}{2}e^{4t}-2\;dt\\\\&=-\dfrac{1}{2}\int e^{-2t}\;dt+\dfrac{5}{2}\int e^{4t}\;dt-\int 2\;dt\\\\&=-\dfrac{1}{2} \cdot -\dfrac{1}{2}e^{-2t}+\dfrac{5}{2}\cdot \dfrac{1}{4}e^{4t}-2t+C\\\\&=\dfrac{1}{4}e^{-2t}+\dfrac{5}{8}e^{4t}-2t+C\end{aligned}\)

To find the value of the constant of integration, C, substitute the given condition y(0) = 1:

\(\begin{aligned}\displaystyle y(0)&=1\\\\\dfrac{1}{4}e^{-2(0)}+\dfrac{5}{8}e^{4(0)}-2(0)+C&=1\\\\\dfrac{1}{4}(1)+\dfrac{5}{8}(1)-0+C&=1\\\\\dfrac{1}{4}+\dfrac{5}{8}+C&=1\\\\\dfrac{7}{8}+C&=1\\\\C&=\dfrac{1}{8}\end{aligned}\)

Therefore the equation for y is:

\(\boxed{y=\dfrac{1}{4}e^{-2t}+\dfrac{5}{8}e^{4t}-2t+\dfrac{1}{8}}\)

\(\hrulefill\)

Integration rules used:

\(\boxed{\begin{minipage}{5.1 cm}\underline{Terms multiplied by a constant}\\\\$\displaystyle \int a\;\!f(x)\:\text{d}x=a \int f(x)\:\text{d}x$\\\end{minipage}}\)

\(\boxed{\begin{minipage}{5.1 cm}\underline{Integrating $e^{ax}$}\\\\$\displaystyle \int e^{ax}\:\text{d}x=\dfrac{1}{ax}e^{ax}+\text{C}$\\\end{minipage}}\)

\(\boxed{\begin{minipage}{5.1 cm}\underline{Integrating a constant}\\\\$\displaystyle \int n\:\text{d}x=nx+\text{C}$\\\\(where $n$ is any constant value) \end{minipage}}\)

Dr. Bartos is a psychologist who believes that pet therapy leads to less anxiety. She hopes to fund a research project to demonstrate this so she can promote animal adoption at the local shelter where she volunteers. She is proposing an experimental study to examine this belief

Answers

To conduct an experimental study, Dr. Bartos would need to:

Recruit participants who experience anxiety.
Randomly assign participants to one of two groups: a treatment group that receives pet therapy or a control group that does not receive pet therapy.
Measure the anxiety levels of both groups before and after the study using a standardized anxiety questionnaire.
Analyze the data to determine if there is a statistically significant difference in anxiety levels between the treatment group and the control group.
Interpret the findings and draw conclusions about the effectiveness of pet therapy in reducing anxiety.
If the study results show that pet therapy significantly reduces anxiety levels in the treatment group, Dr. Bartos can use these findings to promote animal adoption and the use of pet therapy as a treatment for anxiety.

Explain four reasons of preserving farm produce​

Answers

The following are some of the reasons we preserve our food.

Not to lose it freshness

.To prevent contamination and infection

.To prevent food from smelling

.To keep insect and other pest away from the food.

Keeps farm produce in good condition for planting in the next season

.To keep food for a long period of time.

Explanation:

One- Not to lose it freshness.

Two- To prevent contamination and infection.

Three- To prevent food from smelling.

Four- To keep insect and other pest away from the food.

describe one historical development illustrated by the passage. describe sotomayors argument regarding women’s education

Answers

The historical development illustrated by the passage and Sotomayor's argument regarding women’s education was that:

The social components of the passage are one historical development since women cannot study or perform tasks as well as males. "The actual reason that women are not learned is not a lack of brain, but rather a lack of study," the paragraph states. The goal of this argument is to demonstrate that men think women are not capable of or deserving of learning new things.

What was Sotomayor's point in speaking?

Sotomayor's point when she spoke was to inform students of the requirements to become a judge in the present era, to persuade listeners that it is crucial to have more diverse judges, to delight the audience with tales of her upbringing.

Therefore, By setting a tone of uncertainty, Sotomayor is encouraging the audience to pose their own queries. To help the audience better understand the questions, Sotomayor creates a system of repetition.

Learn more about Sotomayor's argument from

https://brainly.com/question/11016010
#SPJ1

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