Using separation of variables technique, solve the following differential equation with initial condition y'= e sinx and y(pi) = 0. The solution is: ​

Using Separation Of Variables Technique, Solve The Following Differential Equation With Initial Condition

Answers

Answer 1

Answer:

\(\textsf{A.} \quad e^{-y}=\cos x+2\)

Explanation:

Given differential equation and initial condition:

\(\begin{cases}y'=e^y \sin x\\y(-\pi)=0\end{cases}\)

Rearrange the differential equation so that all the terms containing y are on the left-hand side, and all the terms containing x are on the right-hand side:

       \(y'=e^y \sin x\)

     \(\dfrac{dy}{dx}=e^y \sin x\)

 \(\dfrac{1}{e^y}\; dy=\sin x\; dx\)

\(e^{-y}\; dy=\sin x\; dx\)

Integrate both sides of the equation:

\(\begin{aligned}\displaystyle \int e^{-y}\; dy&=\int \sin x\; dx\\\\-e^{-y}&=-\cos x+C\end{aligned}\)

Substitute the given condition y(-π) = 0 into the equation and solve for C:

\(\begin{aligned}-e^{-0}&=-\cos (-\pi)+C\\\\-1&=1+C\\\\C&=-2\end{aligned}\)

Substitute the found value of C into the equation:

\(-e^{-y}=-\cos x-2\)

Multiply both sides by -1:

\(\boxed{e^{-y}=\cos x+2}\)

\(\hrulefill\)

Integration rules used:

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

\(\boxed{\begin{minipage}{5.1 cm}\underline{Integrating $\sin x$}\\\\$\displaystyle \int \sin x\:\text{d}x=-\cos x+\text{C}$\\\end{minipage}}\)


Related Questions

Given points V(10;2) and N (-7;9).
Determine the coordinates of vectors VN and NV
VN =( ; )
NV = ( ; )

Answers

Answer:
VN=(10,-7)
NV=(9,2)
Explanation : Each point p in the plane is identified with its x and y components: p=(p1,p2). To determine the coordinates of a vector a in the plane, the first step is to translate the vector so that its tail is at the origin of the coordinate system. Then, the head of the vector will be at some point (a1,a2) in the plane.

what does it mean if the slope of a line is undefined

Answers

Answer:

Vertical line (straight up and down)

Step-by-step explanation:

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Answer:

Step-by-step explanation:

the slope of any line is rise/run. What this means is that you have the change in y value divided by the change in x. If you have two points whos x value stays the same, or does not change, you have the change in y divided by 0. Dividing any number by 0 gives you the answer “undefined”.

Here is a probability densityfunction:f(x) = 2/9x , 0≤x≤ 3Generate a random number fromthis density using us = 0.127. Show yourwork!

Answers

A random number generated from this density using the given us value of 0.127 is approximately 1.068.

To generate a random number from this density using the given us value, we first need to calculate the cumulative distribution function (CDF):

F(x) = ∫(0 to x) f(t) dt
    = ∫(0 to x) (2/9)t dt
    = (1/9) x^2

Next, we set the CDF equal to the given us value and solve for x:

us = F(x) = (1/9) x^2
0.127 = (1/9) x^2
x^2 = 1.139
x = sqrt(1.139) ≈ 1.068

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50 POINTS!! Please help tysm :) image is attached (sorry about the quality); find the value of x. the answer key says x=10, but I'm not sure how to get there.

please don't put an unrelated answer or just repeat the answer for the points :) I would like a step by step explanation ​

50 POINTS!! Please help tysm :) image is attached (sorry about the quality); find the value of x. the

Answers

Answer:

\( \: x = 10\)

Step-by-step explanation:

prefer the attachment

according to the question

\( \displaystyle \: \frac{6}{17.5-x} = \frac{8 + 6}{17.5} \)

simplify addition:

\( \displaystyle \: \frac{6}{17.5-x} = \frac{14}{17.5 } \)

simplify fraction;

\( \displaystyle \: \frac{6}{17.5 - x} = 0.8\)

cross multiplication:

\(\displaystyle 6 = 14 - 0.8x\)

cancel 14 from both sides:

\( \displaystyle - 8= - 0.8x\)

divide both sides by -0.8:

\( \therefore \: x = 10\)

50 POINTS!! Please help tysm :) image is attached (sorry about the quality); find the value of x. the

suppose you roll two number cubes and multiply the numbers. what is the probability of getting a multiple of 3 and 4

Answers

For given experiment, the probability of getting a multiple of 3 and 4 is 1/7

In this question we have been given an expreiment of rolling  two number cubes and multiply the numbers.

We need to find the probability of getting a multiple of 3 and 4

If two number cubes are rolled and multiply the numbers, the maximum output of multiplication would be 36

So, the sample space:

n(S) = 21

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36

And the multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36

The number of outcomes for getting a multiple of 3 and 4 are:

12, 24, 36

n(A) = 3

so, the required probability would be,

p(A) = n(A)/n(S)

p(A) = 3/21

p(A) = 1/7

Therefore, the probability of getting a multiple of 3 and 4 = 1/7

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What is the lateral area of the prism? 73.5 feet 73.5 square feet 84 feet 84 square feet

Answers

Answer:The lateral surface area of the triangular prism will be 84 square feet.correct option is D.

What is the surface area of the triangular prism?Let the sides of the triangle be a, b, c, and a height of H. Then the surface area of the prism is given as SA = H(a + b + c)A triangular prism has bases with three congruent sides, each measuring 4 feet. The height of each triangle is approximately 3.5 feet.The distance between the triangular bases is 7 feet.Then the lateral surface area will beSA = 7 (4 + 4 + 4)SA = 7 x 12SA = 84 square feet. the correct option is D

Step-by-step explanation:

Given: ∆MNP, PM = 8 m∠P = 90°, m∠N = 58° Find: Perimeter of ∆MNP

(Not 22.4 or 22.43)


Please answer ASAP, brainly awarded.

Answers

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

m∠P = 90°m∠N = 58°PM = 8

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Given: MNP, PM = 8 mP = 90, mN = 58 Find: Perimeter of MNP(Not 22.4 or 22.43) Please answer ASAP, brainly

How to write an equation in point -slope form for each line

Answers

point slope form is

y-y1=m(x-x1)

what this means is you’d insert a point in place of y1 and x1, and m being the slope

let’s say the point is (1,2) the equation would become

y-2=m(x-1)

Plz help i will give

Plz help i will give

Answers

Answer:

The equation to be used is 4/8 × 8/12=1/3

Convert 3.9m^2 into cm^2

I will leave good review!

Convert 3.9m^2 into cm^2I will leave good review!

Answers

Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.

ANSWER FAST FOR BRAINLIEST!!!


The graph shows f(x). The absolute value function g(x) is described in the table. The graph shows a v-shaped graph, labeled f of x, with a vertex at 0 comma 2, a point at negative 1 comma 3, and a point at 1 comma 3. x g(x) −1 5 0 4 1 3 2 2 3 3 If g(x) = f(x + k), what is the value of k? k = −2 k is equal to negative one half k is equal to one half k = 2

ANSWER FAST FOR BRAINLIEST!!! The graph shows f(x). The absolute value function g(x) is described in

Answers

Where the above graph and conditions are given,  the value of k that satisfies g(x) = f(x+k) is k = -2.

What is the explanation for the above response?

We can determine the value of k by using the given relationship between g(x) and f(x+k).

If g(x) = f(x + k), then we can substitute the given values of x in g(x) to get:

g(-1) = f(-1 + k) --> 5 = f(-1 + k)

g(0) = f(0 + k) --> 4 = f(k)

g(1) = f(1 + k) --> 3 = f(1 + k)

g(2) = f(2 + k) --> 2 = f(2 + k)

g(3) = f(3 + k) --> 3 = f(3 + k)

We know that f(x) is a v-shaped graph with a vertex at (0,2) and points at (-1,3) and (1,3). Therefore, we can conclude that f(k) = 4, which means that k is the x-coordinate of the vertex of f(x) shifted to the left or right.

Since the vertex of f(x) is at (0,2), and the x-coordinate of the vertex of f(x+k) is at k, we have:

k = 0 --> vertex of f(x+k) is at (0,2)

k = -1 --> vertex of f(x+k) is at (-1,2)

k = 1 --> vertex of f(x+k) is at (1,2)

k = 2 --> vertex of f(x+k) is at (2,2)

Therefore, the value of k that satisfies g(x) = f(x+k) is k = -2.

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Regarding the two variables under consideration in a regression analysis, a. what is the dependent variable called? b. what is the independent variable called?

Answers

In a regression analysis regarding the two variables, the dependent variable is called the response or outcome variable, meanwhile the independent variable is called the predictor, explanatory, or input variable.

The goal of the analysis is to build a statistical model that can predict or explain the behavior of the dependent variable based on the independent variable(s). In a regression analysis, the two variables under consideration are:

The dependent variable is the variable that we want to predict or explain, which is also called the response or outcome variable. This is the variable we are trying to predict or explain based on the independent variable. It is also sometimes referred to as the response variable or the outcome variable. The dependent variable is what we are trying to understand or measure in the study. For example, if we are interested in understanding how age affects income, then income would be the dependent variable.

The independent variable, which is also called the predictor, explanatory, or input variable. This is the variable that we use to predict or explain the dependent variable. It is sometimes referred to as the explanatory variable or the predictor variable. The independent variable is the variable that we manipulate or measure to see how it affects the dependent variable. For example, if we are interested in understanding how age affects income, then age would be the independent variable.

In conclusion, the goal of the analysis is to find the best-fitting line or curve that describes the relationship between the variables. Once we have this model, we can use it to make predictions about the dependent variable based on the values of the independent variable(s).

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c) Suppose that you take a random sample of 5,000 people from the U.S. population.Make a table that shows the expected number of people in your sample who come fromeach of the four age groups

c) Suppose that you take a random sample of 5,000 people from the U.S. population.Make a table that shows

Answers

In order to determine the number of people in the sample for each age group, here are the steps:

1. Determine what proportion in the entire population the population of each group. To get the proportion, simply divide the population of each respective group by the entire population.

2. To get the number of samples for each group, multiply the proportion by 5,000 and round the answer to the nearest whole number.

Now, let's apply the steps above in each group.

Let's start with ages under 18.

\(\begin{gathered} Proportion:74,181,467\div308,745,538=0.240267333 \\ Number\text{ }of\text{ }Samples:0.240267333\times5,000=1,201.33\approx1,201 \end{gathered}\)

Hence, we are expected to have 1,201 people aged under 18 in the sample.

For those aged 18 - 44,

\(\begin{gathered} Proport\imaginaryI on:112,806,642\div308,745,538=0.3653709224 \\ Number\text{ }of\text{ }Samples:0.3653709224\times5,000=1,826.85\approx1,827 \end{gathered}\)

Hence, we are expected to have 1,827 people aged 18-44 in the sample.

For those aged 45 - 64,

\(\begin{gathered} Proportion:81,489,445\div308,745,538=0.2639372395 \\ Number\text{ }of\text{ }Samples:0.2639372395\times5,000=1,319.68\approx1,320 \end{gathered}\)

The expected number of samples for people aged 45-64 is 1,320.

Lastly, for aged 65 and over,

\(\begin{gathered} Proportion:40,267,984\div308,745,538=0.1304245051 \\ Number\text{ }of\text{ }Samples:0.1304245051\times5,000=652.12\approx652 \end{gathered}\)

The expected number of samples for people aged 65 and over is 652.

To summarize, we have:

Age under 18 ⇒ 1,201 samples

18 - 44 ⇒ 1,827 samples

45 - 64 ⇒ 1,320 samples

65 and over ⇒ 652 samples

.

What is the volume of a pencil

What is the volume of a pencil

Answers

around 19.05 centimeters or 7.4 inches

Katrina sketches the graphs of four functions on a coordinate plane. Which of the following functions is linear?

Answers

The function that is linear is the function that is a straight line

How to determine the function that is linear

A linear function can be identified on a graph by its shape.

A linear function will always have a straight line.  So, if the graph of several functions, then the linear function would be a straight line.

To confirm that it is a linear function, you can check if it has the form y = mx + b, where m and b are constants.

In this form, m represents the slope of the line, which is a measure of how steep the line is.  and b is the y-intercept

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What is the area of a circle with a diameter of 5 m? Use 3. 14 for pi. Round to the nearest tenth.

Answers

Answer:

19.625

Step-by-step explanation:

2.5x2.5x3.15

Subtract − 3 x 2 + 4 x + 10 −3x 2 +4x+10 from 2 x 2 − 2 x 2x 2 −2x.

Answers

Answer:

10+12x

Step-by-step explanation:

1. simplify both sides using PEMDAS.

(2 x 2) − ((2 x 2x) 2) −2x

4-8x-2x

4-10x

− (3 x 2) + 4x + 10 −(3x 2) +4x+10

-6+4x-6x+4x+20

2x+14

2. (2x+14)-(4-10x)= 10+12x

sorry if its rong it was kinda confusing finfing if it was an x or multiplecation.

how to solve a question about if one person can do in 5 hours, and another person does in 10 hours, how long will it take for them working togehter

Answers

It will take approximately 3.33 hours for both persons working together to complete the job.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet.

To solve this problem, we can use the following formula:

1 / T = 1 / t1 + 1 / t2

Where T is the time it takes for both persons working together to complete the job, t1 is the time it takes for the first person to complete the job alone, and t2 is the time it takes for the second person to complete the job alone.

Plugging in the given values, we get:

1 / T = 1 / 5 + 1 / 10

Simplifying the right side, we get:

1 / T = 3 / 10

Multiplying both sides by 10T, we get:

10 = 3T

Dividing both sides by 3, we get:

T = 10 / 3 = 3.33 hours

Therefore, it will take approximately 3.33 hours for both persons working together to complete the job.

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need 8, and 9 which definitions go with the
description
In a salt where \( r^{+}=165 \) and \( r^{-}=297, r^{+} \)will occupy what kind of hole? tetrahedral octahedral cubic Any of the above 1 point Match each term with the best definition or description

Answers

The salt will acquire octahedral hole. Thus option B is correct .

Given,

\(r^{+} = 165\\ r^{-} = 297\)

Now,

Find the coordination number ,

Radius ratio = \(r^{+} / r^{-}\)

Substitute the values of radius of salt to get the coordination number .

Radius ratio = 165/297

Radius ratio = 0.556 .

If the radius ratio is between 0.414 and 0.732

Range of radius ratio : 0.414 < r < 0.732

Then coordination number is 6 . If the coordination number is 6 then it will acquire octahedral void .

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Determine the domain of (f/g)(x) when f(x)=1/x and g(x)= sqrt x+8
(answer choices in photo)

Determine the domain of (f/g)(x) when f(x)=1/x and g(x)= sqrt x+8(answer choices in photo)

Answers

Answer:

(−8,0)∪(0,∞)

Step-by-step explanation:

This is composition, which I'm going to assume you've covered (sorry if I use any weird terms because of that).

So, anyway, (f/g)(x) is basically \(\frac{f(x)}{g(x)}\).

In this case, the answer would be \(\frac{\frac{1}{x} }{\sqrt{x+8} }\)

I'm going to assume we're using the real number system.

In that case, x can't be less than 0 (can't even be equal to because divide by zero error

So, \(\sqrt{x+8} > 0\)

Solve for x by squaring.

\(\sqrt{x+8} > 0\)

\(x > -8\)

However, in the numerator, there is 1/x. A number divided by 0 is undefined. So, x has to be greater than -8, and it can't be 0.

So, with that, the interval notation is like this.

(−8,0)∪(0,∞)

What is the area of the circle shown? Use 3.14 for pi.
Help me please I need to pass this test

What is the area of the circle shown? Use 3.14 for pi.Help me please I need to pass this test

Answers

A=3.14r^2
A=3.14 x 10^2
A=3.14x100
A=314
314cm is your answer

(PLEASE AND ASAP I WILL GIVE 100 PIONTS) What is the horizontal distance between (–14, –20) to (7, –20)?

7 units
21 units
–7 units
–21 units

Answers

Answer:

The two points have the same y-coordinate of -20, so they lie on the same horizontal line.

Step-by-step explanation:

To find the horizontal distance between them, we can simply subtract their x-coordinates:

distance = 7 - (-14) = 7 + 14 = 21

Therefore, the horizontal distance between (–14, –20) and (7, –20) is 21 units.

Answer:

Step-by-step explanation:

21 units

Help!!!!!
I need help!!

Help!!!!!I need help!!

Answers

Answer:

28.

Step-by-step explanation:

First you woukd have to multiply 3 ×2 to get 6 then 12×14 to get 168. Then you would divide 168÷6 to get 28.

Which number sentence is not true?
OA) |-20| < 20
OB) |9| = 9
OC) |-20| > |9|
OD) |9|< 20

Answers

Answer:

Option A is correct option

Step-by-step explanation:

We need to find which number sentence is not true.

We will check each option.

Option A

|-20| < 20

We know that |-a|=a

20 < 20 (false)

So, this number sentence is not true.

Option B

|9| = 9

We know that |a|=a

9=9 (true)

So, this number sentence is true.

Option C

|-20|>|9|

We know that |-a|=a

20>9 (true)

So, this number sentence is true.

Option D

|9| < 20

We know that |a|=a

9<20

So, this number sentence is true.

So, Option A is correct option

Michelle read 33 pages of her book on the weekend and read 19 pages per day jillian read 45 pages of her book on the weekend and then read 23 per day write an inequality to represent the number of days that Michelle must read in order to read more pages than jill

Answers

The inequality, and we can't find a number of days that Michelle must read in order to read more pages than Jill.

What is inequality?

An inequality is a mathematical statement that compares two values, expressing that they are not equal.

Let "x" be the number of days that Michelle must read in order to read more pages than Jill.

The total number of pages Michelle reads can be represented as:

33 + 19x

The total number of pages Jill reads can be represented as:

45 + 23x

To write an inequality to represent the number of days that Michelle must read in order to read more pages than Jill, we need to compare the two expressions:

33 + 19x > 45 + 23x

Simplifying the inequality, we get:

-12 > 4x

Dividing both sides by 4 (and flipping the inequality because we're dividing by a negative number), we get:

x < -3

However, this solution doesn't make sense in the context of the problem because we can't have negative days of reading.

Hence, there is no solution to the inequality, and we can't find a number of days that Michelle must read in order to read more pages than Jill.

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2x - 80
4x+20
Solve for x

Answers

Answer:

2x - 80 = 78x

4x+20=24x

William just accepted a job at a new company where he will make an annual salary of
$60000. William was told that for each year he stays with the company, he will be
given a salary raise of $5000. How much would William make as a salary after 5
years working for the company? What would be his salary after t yehrs?
Salary after 5 years:
Salary after t years:

Answers

Answer:

Step-by-step explanation:

He gets a new job and it pays him $60k each year.

Amount per year: 60,000

He gets a raise of $5k

Amount per year: 65,000

After 5 years of working there you times 5 by your amount you get per year.

5 x 65,000 = 325,000

Therefore you get...

$325k every five years

To know how much it is in ten years multiply 325k by 2

325,000 x 2 = 650,000

Salary after 5 years: 325,000

Salary after 10 years: 650,000

<3 Enjoy,

    Dea


Which angle is supplementary to the
Please helppp

Which angle is supplementary to the Please helppp

Answers

Answer:

\(\angle FCB\)

Step-by-step explanation:

Supplementary angles are angles that sum to \(180^{\circ}\). In this case, \(\angle FCB\) is supplementary to \(\angle DCF\) since they add up to the angle of a straight line which is \(180^{\circ}\).

Hope this helps :)

3. Lin is reading a 47-page book. She read the first 20 pages in 35 minutes.
a. If she continues to read at the same rate, will she be able to complete this book
in under 1 hour?

Answers

nope......cos she spent 35 mins on 20 pages. ...meaning for another 20 pages 35minns will be gone too and for the remaining 17 pages she will not use les than 28mins

Will mark brainliest for whoever answers correctly

Will mark brainliest for whoever answers correctly

Answers

Answer:

The answer is 2

Step-by-step explanation:

x+y = (1+i) + (1-i)

open the bracket...

1+i + 1-i

collect like terms

=1+1+i-i

= 2-0

=2

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What areas of the hands retained the paint the longest, requiring careful scrubbing to get clean? 2tivityAtmosphericWater (H.O gas)2 of 6Water fromoceans andlakesevaporatesand thencondenses toform cloudsGroundwateris taken up byplant roots andthen, throughtranspiration,released to theatmosphereWaterfalls tothe surface asprecipitationSurface runoffleads throughrivers to lakesand oceansSome waterSeeps into theground andbecomesgroundwaterOceanGroundwaterBological- Physical ChemicalWhat is being cycled? between 1965 and 1973, the percentage of americans living below the poverty line _____. The mayor and city council have a secret meeting to pass a law requiring citizens to pay a special tax for new sewer lines.Which characteristic of rule of law was violated in this situation?WILL GIVE BRAINLIEST Please explain cause I dont understand and its adding fractions and mixed numbers Explain why human cells undergo mitosis. please help ASAP Evaluate x+y when x=1/3 and y=(-7/4.Write your answer as a fractionin simplest form. Sashas debt to Tully is past due. Tully brings a legal action against Sasha to collect the debt. To ensure that a judgment in Tullys favor will be collectible, he asks the court to order the seizure of Sashas property. This is a request for a. a contract of suretyship. b. an order that would violate most state laws. c. a writ of attachment. d. an order of receivership What are the building blocks of the four major macromolecules. Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle.(2x - 20) (4x - 10) How are qualified Roth IRA distributions normally treated for tax purposes?a. 10% penalty taxb. taxed as ordinary incomec. capital gains tax is appliedd. received income tax-free Good day! I want you to answer only letter (2b).Note that IRR, and ERR means Internal-Rate-of-Return and External-Rate-of-Return.This is how you answer the problem. Identify first the given. Next identify what is being ask in the problem.Third show me the Formula first before you plug-in the given into it ,i want to study and learn from your solution. Please include in the solution part the interpolation solutionITEM 2:You are faced with making a decision on a large capital investment proposal. The capital investment amount is $640,000. Estimated an annual revenue at the end of each year in the eight-year study period is $180,000. The estimated annual year-end expenses are $42,000 starting in year one. These expenses begin decreasing by $4,000 per year at the end of year four and continue decreasing through the end of year eight. Assuming a $20,000 market value at the end of year eight and a MARR = 12% per year, answer the following questions. 2a. What is the PW, AW, and FW of this proposal?2b. What is the IRR, and ERR of this proposal?2c. What is your conclusion about the acceptability of this proposal? The process of packing 316 ounce bottles of Hershey chocolate syrup in super size packages like those sold at Sams and Costco is an example of what type of packaging Is it adaptive packaging allocating sorting out accumulating or accruing Cynthia's letter to Miguel about Cynthia's new neighborhood event. the secret passphrase is encrypted inside. Online databases display only the bibliographic citations such as the name of the author, the title of the article (or book), source of publication, and the like. true or false llama ran 2 laps around the field in 8 minutes. What was her average speed, in laps per minute How did La Raza use resistance to live up to our idea of freedom, equality, and democracy? Assume that adults have IQ scores that are normally distributed with a mean of 104.3 and a standard deviation 18.4. Find the first quartile Q,, which is the lo score separating the bottom 25% from the top 75%. (Hint: Draw a graph)The first quartie is(Type an integer or decimal rounded to one decimal place as needed) is an acute triangle sometimes, always or never equilateral? if the answer is always or never explain how you know. Exercise 1 Draw one line under the simple subject. Draw two lines under the simple predicate. Draw a vertical line (|) between the complete subject and the complete predicate. Roger slid into third base safely.