Which statement best describes how the author of “The Train to Somewhere” alters historical details to tell her story?

A.The author includes historical facts, such as when the Children’s Aid Society was formed.
B.The author describes the experiences and feelings of an imaginary orphan who was sent west on an orphan train.
C. The author provides specific details about families who agreed with Brace’s beliefs about ways to help needy orphan children.
D.The author explores the adventures of two young children as they start their new lives on a farm in rural America.

Which Statement Best Describes How The Author Of The Train To Somewhere Alters Historical Details To
Which Statement Best Describes How The Author Of The Train To Somewhere Alters Historical Details To
Which Statement Best Describes How The Author Of The Train To Somewhere Alters Historical Details To

Answers

Answer 1

Answer:

The statement that best describes how the author of "The Train to Somewhere" alters historical details to tell her story is option B;

B. The author describes the experiences and feelings of an imaginary orphan who was sent west on an orphan train

Step-by-step explanation:

The author included the experiences of one of the children who according to the historical details in the historical account of the Orphan Train Riders were aided by the minister, Charles Loring Brace, to be taken from the New York City streets on the East to other states and Canada to the West

The child, a 5 year old girl, who had lost both parents had been living on the street with her brother for some months

The author also highlighted the taught by the child, of being separated from her brother at one of the destination towns of the train, and the manifestation of the beliefs of the minister, Brace, of the children finding loving families that would help them become productive members of society.


Related Questions

Alberto invested $5,000 at 6% interest
compounded annually. What will be the
value of Alberto's investment after 8 years?

Answers

Answer:

$7969.24

Step-by-step explanation:

5000*1.06 to power of 8 = 7969.24037265

round to 2dp = $7969.24

Answer:

7400

Step-by-step explanation:

Which expression is equivalent to 1/4m + 3/4m- 3/8(m+1)?

Answers

Answer:

5/8m-3/8

Step-by-step explanation:

thats prolly it

Which statements are true based on the diagram?
Select three options.

Answers

a,b,c your welcome have a good day

WILL GET BRAINLIEST The scatterplot shows the weight and miles per gallon of the nation's 40 best-selling cars.
Vehicle Weights and Miles
Per Gallon
Miles Per Gallon
Vehicle Weight
Which statement is most strongly supported by the scatterplot?

Answers

The last one as we can see that as the wight increases, the miles per gallon decreases.

please help dont answer with random

Answers

Answer:

Step-by-step explanation:

17x + 14 + 4x -2 = 21x + 12

21x + 12 = 180

-12         -12

21x = 168

x = 8 degrees

[tex]\boxed{\large{\bold{\green{ANSWER~:) }}}}[/tex]

Here,

The two lines l and m are parallel,

cut by a transversat line t

So The two angles are supplementary each other.

we know that,

The sum of two supplementary angles are 180°

According to the question,

(17x+14)°+(4x-2)°=180°

17x+14°+4x-2°=180°

17x+4x+14°-2°=180°

21x+12°=180°

21x=180°-12°

21x=168°

x=168°/21

x=8°

Therefore,

The value of x is 8°

Help, help, help! Quick Answer, please!

Answers

Answer:

3. 102

4. c

Step-by-step explanation:

For number 3:

(c^2 - a) + b becomes (10^2 - 3) + 5

10^2 = 100

100 - 3 + 5 = 102

For number 4:

Usually when you see distributive property, you're multiplying into parentheses. This time you're factoring out.

20c - 8d

It's not a, because that would be 20c + 8d

It's not b, because that would be 20c -32d

It is c, because 4 x 5c = 20 c and 4 x -2d = -8d

It's not d, because that would be 20c- 8cd

Answers this plz I need help

Answers

Answer:

y=2x+5

Step-by-step explanation:

u find the slope and since the y intercept is (0,5), that's the b value

hope this helps

Answer: 2x+5

Step-by-step explanation: calculate the slope of the points with the formula m= (y2-y1)/(x2-x1) then use the y-int to complete the equation




Use the method of variation of parameters to find a particular solution of the differential equation 4y" – 4y +y = 16et/2 that does ' not involve any terms from the homogeneous solution. = Y(t) =

Answers

The particular solution that does not involve any terms from the homogeneous solution is given by:[tex]Y(t) = C3 + C4te^(-t/2).[/tex]

To find a particular solution of the given differential equation using the method of variation of parameters, we follow these steps:

Solve the associated homogeneous equation: 4y" - 4y + y = 0.

The characteristic equation is:

[tex]4r^2 - 4r + 1 = 0.[/tex]

Solving the quadratic equation, we find two repeated roots: r = 1/2.

Therefore, the homogeneous solution is given by: y_h(t) = C1[tex]e^(t/2)[/tex] + C2t[tex]e^(t/2),[/tex] where C1 and C2 are constants.

Find the particular solution using the variation of parameters.

Let's assume the particular solution has the form:

[tex]y_p(t) = u1(t)e^(t/2) + u2(t)te^(t/2).[/tex]

To find u1(t) and u2(t), we differentiate this expression:

[tex]y_p'(t) = u1'(t)e^(t/2) + u1(t)(1/2)e^(t/2) + u2'(t)te^(t/2) + u2(t)e^(t/2) + u2(t)(1/2)te^(t/2).[/tex]

We equate the coefficients of e^(t/2) and te^(t/2) on both sides of the original equation:

[tex](1/2)(u1(t) + u2(t)t)e^(t/2) = 16e^(t/2).[/tex]

From this, we can deduce that u1(t) + u2(t)t = 32.

Differentiating again:

[tex]y_p''(t) = u1''(t)e^(t/2) + u1'(t)(1/2)e^(t/2) + u1'(t)(1/2)e^(t/2) + u1(t)(1/4)e^(t/2) + u2''(t)te^(t/2) + u2'(t)e^(t/2) + u2'(t)(1/2)te^(t/2) + u2(t)e^(t/2) + u2(t)(1/2)te^(t/2).[/tex]

Setting the coefficient of [tex]e^(t/2)[/tex]equal to zero:

[tex](u1''(t) + u1'(t) + (1/4)u1(t))e^(t/2) = 0.[/tex]

Similarly, setting the coefficient of [tex]te^(t/2)[/tex]equal to zero:

[tex](u2''(t) + u2'(t) + (1/2)u2(t))te^(t/2) = 0.[/tex]

These two equations give us a system of differential equations for u1(t) and u2(t):

u1''(t) + u1'(t) + (1/4)u1(t) = 0,

u2''(t) + u2'(t) + (1/2)u2(t) = 0.

Solving these equations, we obtain:

u1(t) = C3[tex]e^(-t/2)[/tex] + C4t[tex]e^(-t/2),[/tex]

u2(t) = -4C3[tex]e^(-t/2)[/tex] - 4C4t[tex]e^(-t/2).[/tex]

Substitute the values of u1(t) and u2(t) into the assumed particular solution:

[tex]y_p(t) = (C3e^(-t/2) + C4te^(-t/2))e^(t/2) - 4C3e^(-t/2) - 4C4te^(-t/2).[/tex]

Simplifying further:

[tex]y_p(t) = C3 + C4te^(-t/2) - 4C3e^(-t/2) - 4C4te^(-t/2).[/tex]

So, the particular solution that does not involve any terms from the homogeneous solution is given by:

[tex]Y(t) = C3 + C4te^(-t/2).[/tex]

Here, C3 and C4 are arbitrary constants that can be determined using initial conditions or boundary conditions if provided.

Learn more about homogenous equation here:

https://brainly.com/question/11679822

#SPJ11

By using the method of variation of parameters to solve a nonhomogeneous DE with W = -3 W2 = e 112 and W = er, we have ---- Select one: 42 Ou= 41 O U2= O None of these. -4 Ou2 = O U =

Answers

By using the method of variation of parameters to solve a nonhomogeneous DE with W = -3 W2 = e 112 and W = er, we have

Given: W1=-3, W2=e^t and W3=er.The general solution of the non-homogeneous differential equation, y" + p(t) y' + q(t) y = g(t) , where p(t) and q(t) are functions of t and g(t) is non-zero function is given by;{eq}y = y_c + y_p {/eq}Where {eq}y_c {/eq} is complementary function and {eq}y_p {/eq} is particular function obtained by using variation of parameters.The solution is as follows:The given differential equation is{eq}y''+3y'+2y=-3e^{-t}+e^{t}+re^t{/eq}Characteristic equation is{eq}m^2+3m+2=0{/eq}Solving above equation gives us, {eq}m=-1,-2{/eq}Therefore, complementary function {eq}y_c=c_1e^{-t}+c_2e^{-2t} {/eq}Now, we find the particular solution by using the method of variation of parameters.Let {eq}y_p=u_1e^{-t}+u_2e^{-2t}{/eq}be a particular solution where {eq}u_1{/eq} and {eq}u_2{/eq} are functions of {eq}t.{/eq}Here W is a Wronskian and is given as:{eq}W=\begin{vmatrix}W_1&W_2\\W_1'&W_2'\\\end{vmatrix}=\begin{vmatrix}-3&e^t\\-1&e^t\\\end{vmatrix}=2e^{2t}+3e^{t}{/eq}Now, we find {eq}u_1{/eq} and {eq}u_2{/eq} as follows:{eq}u_1=\frac{-\int W_2 g(t) dt}{W}=\frac{-\int e^t(-3e^{-t}+e^{t}+re^t)dt}{2e^{2t}+3e^{t}}=-\frac{r}{5}-\frac{7}{10}+\frac{3}{10}e^{t}{/eq}Similarly,{eq}u_2=\frac{\int W_1 g(t) dt}{W}=\frac{\int -3e^{-t}(-3e^{-t}+e^{t}+re^t)dt}{2e^{2t}+3e^{t}}=-\frac{r}{5}-\frac{1}{10}+\frac{3}{10}e^{-2t}{/eq}Hence, the general solution of the differential equation is {eq}y=y_c+y_p=c_1e^{-t}+c_2e^{-2t}-\frac{r}{5}-\frac{7}{10}+\frac{3}{10}e^{t}-\frac{r}{5}-\frac{1}{10}+\frac{3}{10}e^{-2t}{/eq}So, Option D, {eq}-4u_2=0,~u_1=-\frac{r}{5}-\frac{7}{10}+\frac{3}{10}e^{t},~u_2=-\frac{r}{5}-\frac{1}{10}+\frac{3}{10}e^{-2t}{/eq} is correct.

Learn more about parameters here at brainly.com/question/13058351

#SPJ11

Roger brought some sponges. The number of packages he bought was 14 less than the number of sponges per package. Roger bought 51 sponges in all. How many packages of sponges did roger buy?

Answers

Answer:

the number of sponges per package bought be 32.5

Step-by-step explanation:

Let us assume the number of sponges per package be x

So the number of packages he bought be x - 14

And, the overall he bought 51 sponges

So

the number of packages of sponges did roger buy is

x + x - 14 = 51

2x = 51 + 14

2x = 65

x = 32.5

So the number of sponges per package bought be 32.5

Ming le invited 12 people to her chrismas party.(that is,there are total 13 people at her party )Each person have each other person a present.How many presents were given

Answers

Answer:

There will be 13 gifts given in the party.

Step-by-step explanation:

Given that Ming invited 12 people to her chrismas party, with a total of 13 people at her party, and each person have each other person a present, to determine how many presents were given the following logical reasoning must be performed:

Given that there are 13 people at the party, and each of them will bring a gift, by mathematical logic there will be 13 gifts distributed in the party.

Question (5 points): Using Laplace transform to solve the IVP: y" + 5y = eat, y(0) = 0, y' (O) = 0, then, we have Select one: y(t) =(-1 1 93 – 4s2 + 5s – 20 O y(t) = 2-1 1 482 33 5s + 20 O None of these. Ο Ο 1 yt 3 – (t) = c{+60-60-20) {{+40 + 5a + 20 O 1 y(t) = 2-1

Answers

Given the differential equation is y''+5y = e^(at) with initial conditions y(0) = 0 and y'(0) = 0,  the correct answer is: y(t) = (-1/5√(5)) cos (√(5)t)+(1/5) sin (√(5)t).

To solve the given initial value problem using Laplace transform, we need to apply Laplace transform on both sides of the differential equation.

y''+5y=e^(at) L{y''+5y} = L{e^(at)) s^2Y(s)-sy(0)-y'(0)+5Y(s)=1/(s-a) [by Laplace transform formula] s^2Y(s)+5Y(s)=1/(s-a) ... [i]

Applying Laplace transform on both sides, we get:

L{y''+5y}=L{e^(at))

Using the initial conditions, we get Y(s)=1/[(s-a)(s^2+5)] Y(s) = [A/(s-a)] + [(Bs+C)sin(t)+ (Ds+E)cos(t)]/√(5) (i)

To find the values of A, B, C, D, and E, we take the inverse Laplace transform of both sides of equation (i) using partial fraction expansion. Let's solve for A:

Y(s)=A/(s-a)+(Bs+C)sin(t)/√(5)+(Ds+E)cos(t)/√(5)

Multiplying by s-a on both sides: (s-a)Y(s)=A+Bssin(t)/√(5)+Csincos(t)/√(5)+Dscos(t)/√(5)+Esin(t)/√(5)

Taking the inverse Laplace transform: y(t)=Ae^(at)+(B/√(5))sin(√(5)t)+(C/√(5))cos(√(5)t)+(D/√(5))cos(√(5)t)+(E/√(5))sin(√(5)t)

Differentiating y(t) with respect to t, we get:

y'(t)=Aae^(at)+Bcos(√(5)t)-Csin(√(5)t)-Dsin(√(5)t)+Ecos(√(5)t)

Using the initial conditions, y(0)=0 and y'(0)=0 in equation (iii), we get:

0=A+E ...(iv)0=A+B/√(5)+D/√(5) ...(v)

Solving equations (iv) and (v) simultaneously, we get A=0, B=√(5)/5, D=-√(5)/5, and E=0

Substituting these values in equation (iii), we get: y(t)=(√(5)/5)sin(√(5)t)-(√(5)/5)cos(√(5)t)

Therefore, the correct answer is: y(t)= (-1/5√(5))cos(√(5)t)+(1/5)sin(√(5)t).

More on differential equation: https://brainly.com/question/32538700

#SPJ11

Answer? Please help!!

Answers

Answer:

true

Step-by-step explanation:

The following data repite the resundew of students to short-zule test (out of 10) of cours Alb. X. and Cae). X 7 10 3 8 3 0 9 8 Sum 9 G 8 5 2 9 10 1. Calculate the correlation coeffici

Answers

The correlation coefficient between the scores of students in courses Alb. X and Cae is approximately -0.333.

Correlation refers to the strength of the relationship between two variables while coefficient refers to the numerical value that measures the strength of the correlation.

To calculate the correlation coefficient between the scores of students in courses Alb. X and Cae, we need to first organize the data into two separate lists or arrays representing the scores in each course. Let's denote the scores in Alb. X as X_scores and the scores in Cae as C_scores:

X_scores: 7, 10, 3, 8, 3, 0, 9, 8

C_scores: 8, 5, 2, 9, 10, 1

Next, we need to calculate the mean (average) of both sets of scores.

Mean of X_scores (denoted as X_mean):

X_mean = (7 + 10 + 3 + 8 + 3 + 0 + 9 + 8) / 8

X_mean = 48 / 8

X_mean = 6

Mean of C_scores (denoted as C_mean):

C_mean = (8 + 5 + 2 + 9 + 10 + 1) / 6

C_mean = 35 / 6

C_mean ≈ 5.83

Now, we calculate the covariance between the two sets of scores using the formula:

cov(X_scores, C_scores) = Σ((X_i - X_mean) * (C_i - C_mean)) / (n - 1)

where Σ denotes the sum, X_i and C_i are individual scores, X_mean and C_mean are the means calculated above, and n is the number of scores.

Let's calculate the covariance:

cov(X_scores, C_scores) = ((7-6)(8-5.83) + (10-6)(5-5.83) + (3-6)(2-5.83) + (8-6)(9-5.83) + (3-6)(10-5.83) + (0-6)(1-5.83) + (9-6)(8-5.83) + (8-6)(0-5.83)) / (8-1)

cov(X_scores, C_scores) ≈ -3.39

Next, we calculate the standard deviations of both sets of scores:

Standard deviation of X_scores (denoted as X_std):

X_std = √(Σ(X_i - X_mean)² / (n - 1))

Let's calculate X_std:

X_std = √(((7-6)² + (10-6)² + (3-6)² + (8-6)² + (3-6)² + (0-6)² + (9-6)² + (8-6)²) / (8-1))

X_std ≈ 3.20

Standard deviation of C_scores (denoted as C_std):

C_std = √(Σ(C_i - C_mean)² / (n - 1))

Let's calculate C_std:

C_std = √(((8-5.83)² + (5-5.83)² + (2-5.83)² + (9-5.83)² + (10-5.83)² + (1-5.83)²) / (6-1))

C_std ≈ 3.18

Finally, we can calculate the correlation coefficient (r) using the formula:

r = cov(X_scores, C_scores) / (X_std * C_std)

Let's calculate r:

r ≈ -3.39 / (3.20 * 3.18)

r ≈ -3.39 / 10.176

r ≈ -0.333

Therefore, the correlation coefficient between the scores of students in courses Alb. X and Cae is approximately -0.333.

To know more about correlation coefficient, visit the link : https://brainly.com/question/30628772

#SPJ11

Solve: |2x − 1| < 11.

Express the solution in set-builder notation.


{x|5 < x < 6}

{x|–5 < x < 6}

{x|x < 6}

{x|–6 < x < 6}

Answers

Answer:

the second one is the answer

Step-by-step explanation:

hope that helps

Answer:

B; {x|–5 < x < 6}

Step-by-step explanation:

Angle W is shown in the diagram.
w
400
What is the measure of Angle w in degrees?

Answers

Answer:

The measure of Angle w in degrees is 50°

Step-by-step explanation:

We know that in a straight line, 180°

So,

90° + 40° + w = 180°

130° + w = 180°

w = 180° - 130°

w = 50°

Thus, The measure of Angle w in degrees is 50°

-TheUnknownScientist

Is 0.25 greater or less than 0.03?

Answers

Answer:

0.25 is greater than 0.03

Step-by-step explanation:

You can solve this simply by looking for the position of the decimal point.

For example, 0.30 is greater than 0.25, but 0.03 is less than 0.25

0.25  >  0.03

Answer:

Step-by-step explanation:

Find the area. 14 m 4.5 m 4.5 m 9m 12 m 3 m 3 m

plzzz help meeee​

Answers

Answer:

52

Step-by-step explanation:

For a given norm on Rņwe call the matrix A ∈ Rmxn mxn isometry if ||AX|| = |x|| for all x ER". = • Show that the isometry must be regular. • Show that the set of isometries forms a

Answers

An isometry on R^n must be regular and the set of isometries forms a group under matrix multiplication.

An isometry is a linear transformation that preserves distances, meaning the norm of the transformed vector is equal to the norm of the original vector. To show that an isometry must be regular (i.e., invertible), we can assume there exists a non-invertible isometry matrix A. In this case, there exists a nonzero vector x such that Ax = 0. However, this contradicts the property of an isometry since ||Ax|| = ||0|| = 0, but ||x|| ≠ 0. Thus, an isometry must be regular.

The set of isometries forms a group under matrix multiplication because it satisfies the group axioms: closure (the product of two isometries is an isometry), associativity (matrix multiplication is associative), identity (identity matrix is an isometry), and inverses (the inverse of an isometry is also an isometry).

To learn more about associativity

Click here  brainly.com/question/30859308

#SPJ11

Can you help me for these 3 questions. ​

Answers

Answer:

Step-by-step explanation:

1) a + a

2) 2n+4 = 6n

3)   1

4n = 4

n = 1

Identify the type of conic that follwoing equation represents and write the standard form of each equation.

25x² + 100y² - 450x - 400y - 75 = 0

Answers

The standard form of the equation for the ellipse is ((x - 9)²/376) + ((y - 2)²/94) = 1.

The given equation represents an ellipse. The standard form of the equation is ((x-h)²/a²) + ((y-k)²/b²) = 1, where (h,k) is the center of the ellipse, 'a' is the semi-major axis, and 'b' is the semi-minor axis.

To determine the type of conic represented by the equation, we examine the coefficients of the x² and y² terms. In the given equation, both the x² and y² terms have positive coefficients, indicating that it represents an ellipse.

To write the equation in standard form, we need to complete the square for both the x and y terms. Let's rearrange the equation:

25x² - 450x + 100y² - 400y = 75

Now, we group the x and y terms and complete the square separately:

25(x² - 18x) + 100(y² - 4y) = 75

To complete the square for the x term, we take half of the coefficient of x (-18/2 = -9) and square it to get 81. Similarly, for the y term, we get 4.

25(x² - 18x + 81) + 100(y² - 4y + 4) = 75 + 25*81 + 100*4

Simplifying further:

25(x - 9)² + 100(y - 2)² = 9400

Dividing both sides by 9400, we get:

((x - 9)²/376) + ((y - 2)²/94) = 1

Therefore, the standard form of the equation for the ellipse is ((x - 9)²/376) + ((y - 2)²/94) = 1.

Learn more about ellipse here:

https://brainly.com/question/20393030

#SPJ11

is it A. B. Or C.

please help

Answers

Answer:c?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Which describes the graph of the inequality g(x)>2√3x+2?
A. Shading above a solid line
B. Shading above a dotted line
C. Shading below a dotted line
D. Shading below a solid line

Answers

Answer:

A. Shading above a solid line.

Step-by-step explanation:

Let [tex]f(x) = 2\sqrt{3}\cdot x + 2[/tex], whose domain is all real numbers, since it is a first order polynomial (linear function) and meaning that for all element of [tex]x[/tex] exists one and only one value for [tex]f(x)[/tex], meaning a solid line. If [tex]g(x) > f(x)[/tex], then the range of all possible results is a shade area above the solid line.

Hence, the correct answer is A.

Which of the following is NOT true for 6s + 25 + 5? *
A. Represents an algebraic expression
B. There is only one value for s
C. A phrase that simplifies to two terms
D. There is a solution for s = 5

Answers

Answer:

B. There is only one value for s

Step-by-step explanation:

I hope this works for u.. :3

Can I have a brainliest plz :))

The approximation of 1 = integral (x – 3)e** dx by composite Trapezoidal rule with n=4 is: -25.8387 4.7846 -5.1941 15.4505

Answers

The approximation of the integral I is   -5.1941 using the composite Trapezoidal rule with n = 4.

We need to divide the interval [0, 2] into subintervals and apply the Trapezoidal rule to each subinterval.

The formula for the composite Trapezoidal rule is given by:

I = (h/2) × [f(x₀) + 2f(x₁) + 2f(x₂) + ... + 2f(xₙ₋₁) + f(xₙ)]

Where:

h = (b - a) / n is the subinterval width

f(xi) is the value of the function at each subinterval point

In this case, n = 4, a = 0, and b = 2. So, h = (2 - 0) / 4 = 0.5.

Now, let's calculate the approximation:

[tex]f\left(x_0\right)\:=\:f\left(0\right)\:=\:\left(0\:-\:3\right)e^{\left(0^2\right)}\:=\:-3[/tex]

[tex]f\left(x_1\right)\:=\:f\left(0.5\right)\:=\:\left(0.5\:-\:3\right)e^{\left(0.5^2\right)}\:=-2.535[/tex]

[tex]f\left(x_2\right)\:=\:f\left(1\right)\:=\:\left(1\:-\:3\right)e^{\left(1^2\right)}\:=\:-1.716[/tex]

[tex]f\left(x_3\right)\:=\:f\left(1.5\right)\:=\:\left(1.5\:-\:3\right)e^{\left(1.5^2\right)}\:=\:-1.051[/tex]

[tex]f\left(x_4\right)\:=\:f\left(2\right)\:=\:\left(2\:-\:3\right)e^{\left(2^2\right)}\:=\:-0.065[/tex]

Now we can plug these values into the composite Trapezoidal rule formula:

I = (0.5/2) × [-3 + 2(-2.535) + 2(-1.716) + 2(-1.051) + (-0.065)]

= (0.25)× [-3 - 5.07 - 3.432 - 2.102 - 0.065]

= -5.1941

To learn more on Integral click:

https://brainly.com/question/31744185

#SPJ4

Let A(x)=∫x0f(t)dtA(x)=∫0xf(t)dt, with f(x)f(x) as in figure.
A(x)A(x) has a local minimum on (0,6)(0,6) at x=x=
A(x)A(x) has a local maximum on (0,6)(0,6) at x=x=

Answers

To determine the local minimum and local maximum of the function A(x) = ∫₀ˣ f(t) dt on the interval (0, 6), we need to analyze the behavior of A(x) and its derivative.

Let's denote F(x) as the antiderivative of f(x), which means that F'(x) = f(x).

To find the local minimum and maximum, we need to look for points where the derivative of A(x) changes sign. In other words, we need to find the values of x where A'(x) = 0 or A'(x) is undefined.

Using the Fundamental Theorem of Calculus, we have:

A(x) = ∫₀ˣ f(t) dt = F(x) - F(0)

Taking the derivative of A(x) with respect to x, we get:

A'(x) = (F(x) - F(0))'

Since F(0) is a constant, its derivative is zero, and we are left with:

A'(x) = F'(x) = f(x)

Now, let's analyze the behavior of f(x) based on the given figure to determine the local minimum and maximum of A(x) on the interval (0, 6). Without the specific information about the shape of the graph, it is not possible to determine the exact values of x that correspond to local minimum or maximum points.

To find the local minimum, we need to locate a point where f(x) changes from decreasing to increasing. This point would correspond to x = x_min.

To find the local maximum, we need to locate a point where f(x) changes from increasing to decreasing. This point would correspond to x = x_max.

Learn more about maximum  here-

https://brainly.com/question/29795588

#SPJ4

Greg and cc went to the burger stand and bought dinner. Greg had 2 cheeseburgers and 5 fries. CC bought 3 cheeseburgers and 2 fries. Greg paid $24.75. CC also paid $24.75. How much would 2 cheeseburgers and 3 fries cost?

Answers

Answer:

20.00

Step-by-step explanation:

−x+9y=
\,\,-19
−19
3x-3y=
3x−3y=
\,\,9
9

Answers

Answer:

9!

Step-by-step explanation:

Plz help! Due tonight!
During halftime of a football ​game, a slingshot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 4 feet with an initial upward velocity of 80 feet per second. The​ T-shirt is caught 41 feet above the field. How long will it take the​ T-shirt to reach its maximum​ height? What is the maximum​ height? What is the range of the function that models the height of the​ T-shirt over​ time?

Answers

Hope this helps. If not i’m so sorry .

The radius of a circle is 4 feet. What is the area?

r=4ft

Give the exact answer in simplest form.

Answers

Answer:

100.571429.

Step-by-step explanation:

2*22/7*(4)^2

=44/7*16

=100.571429

Other Questions
student majoring in mechanical engineering is applying for a job. based on his work experience and grades, he has 70% chance to receive a job offer from a firm he applies. assume that he plans to apply to 8 firms. (a) what is the probability that he receives no job offers? (b) what is the probability that he receives at least one job offer? (b) how many job offers he expects to receive? the economic analysis of minimum wage involves both normative and positive analysis. consider the following consequences of a minimum wage:a. the minimum wage law causes unemployment.b. unemployment would be lower without a minimum wage law.c. minimum wage laws benefit some workers and harm others.d. the minimum wage should be more than $7.25 per hour.which of the consequences above are positive statements and which are normative statements? the covariance between mun corporation's common stock returns and the return on the market portfolio is 0.0415. the standard deviation of the market is 0.5 and the standard deviation of mun is 0.0 what is the beta of mun corporation's common stock? Which of these journal entries represent paying cash to reduce a liability? (check all that apply)a)Dr. Cash 1000Cr. Notes Payable 1000b)Dr. Land 100Cr. Cash 100c)Dr. Income Taxes Payable 500Cr. Cash 500d)Dr. Cash 300Cr. Accounts Payable 300e)Dr. Retained Earnings 500Cr. Cash 500 Why did Captain Billy feel compelled to head out again for swordfish so late in the season (October)? (a) Because he was on a hot streak and did not want it to end (b) Because he was on a cold streak and wanted a good catch before the end of the season (c) Because his wife wanted a new car (d) Because another fisherman told him that a large school of swordfish had just been spotted. zach is working on his range of motion. he is seeing how far he can raise his arms sideways over his head. what type of range of motion exercise is he doing? Le Wood, Inc. Le Wood, Inc. makes furniture sets. During April, the purchasing agent bought 25,600 pounds of lumber at $1.94 per pound. During the month, 21,400 pounds of lumber were used to produce 600 furniture sets. Each set requires a standard quantity of 35 pounds at a standard cost of $1.90 per pound. The company applies fixed overhead at a rate of $3 per direct labor hour. Each furniture produced is expected to take 30 direct labor hours. Paper Products expected production in the current year to be 750 sets but 600 units were actually produced. Actual direct labor hours were 19,000 and actual fixed overhead costs were $62,000. REQUIRED 1. Find the direct material price variance (based on the quantity PURCHASED) for April. 2. Find the direct material quantity variance (based on quantity USED) for April. Assume the price elasticity of demand is unit-elastic. If price changes from $21 to $19, then the quantity demand must change from Ca. 416 to 464 units. b. 180 to 210 units. Cc. 210 to 180 units. Od. 464 to 416 units. on a side note, . . . you can hire people to navigate the process of buying a plane ticket, but why can't you hire someone to navigate the airport?" (jones 1) Which of the following statements is true? If the opportunity cost of current consumption is high, the inflation rate will increase. If the opportunity cost of current consumption is high, people will save more. If the opportunity cost of current consumption is high, the unemployment rate will decrease. If the opportunity cost of current consumption is high, people will save less. Which statements about qualitative research are correct? select all applyAEthnographic approaches explore the everyday lived experiences of participantsRationale: Ethnography is a qualitative approach that uses observations and interviews to gather data that is then used to make inferences about how societies and individuals operate.BSmall sample sizes are okay and expectedRationale: Small samples are typical in qualitative research to facilitate in-depth case-oriented analysis.CInformed consent is more important than in quantitative researchRationale: Small samples are typical in qualitative research to facilitate in-depth case-oriented analysis.DPhenomenology is based in culture as foundation of human experienceRationale: The study of a person's actual experiences in the world is the main goal of the qualitative research method known as phenomenology. 2) (15 points) Suppose that the utility possibilities curve of a 2 person economy is given by the equation u + Au = 20 where A E R+ and the social welfare function of the economy is W(UU) = U under public law 86-272, which activity does not establish nexus? solicitation of orders is approved out-of-state, and delivery is made from an in-state location. solicitation of orders is approved out-of-state, and delivery is made from an out-of-state location. solicitation of orders is approved in-state, and delivery is made from an in-state location. solicitation of orders is approved in-state, and delivery is made from an out-of-state location. Course: Introduction to Economics - Growth andCPIWalking through your Faculty, you hear someone say, "Wheneveryou read a CPI inflation figure, remember that actual inflation ishigher, because CPI Researchers claim that "mean cooking time of two types of food products is same". That claim referred to the number of minutes sample of product 1 and product 2 took in cooking. The summary statistics are given below, find the value of test statistic- t for the given data (Round off up to 2 decimal places) Product 1 Product 2 ni = 15 n2 = 18 X1 = 12 - V1 = 10 Si = 0.8 S2 = 0.9 Ammonia, NH3(g), and hydrogen chloride, HCl(g), react to form solid ammonium chloride, NH4Cl(s): NH3 (g) + HCl (g) NH4Cl (8) Two 2.50 L flasks at 30.0C are connected by a stopcock, as shown in the drawingNH3(g)HCl(g)One flask contains 5.60gNH3(g), and the other contains 4.60 g HCl(g). When the stopcock is opened, the gases react until one is completely consumed. a) Which gas will remain in the system after the reaction is complete?NH3NH3HClHClb) What will be the final pressure of the system after the reaction is complete? (Neglect the volume of the ammonium chloride formed.c) What mass of ammonium chloride will be formed? Let f be continuous on the interval I = [a, b] and let c be an interior point of I. Assume that f is differentiable on (a, c) and (c, b). If there is a neighborhood (c , c + ) I such that f (x) 0 for c < x < c and f (x) 0 for c < x < c + . Prove that, f has a relative minimum at c Let R be the region bounded by the lines y = 0, y = 26, and y = 3x 9. First sketch the region R, then x+ydA. [Hint: One order of integration is easier than the other.] evaluate la RiverRocks, Inc., is considering a project with the following projected free cash flows:Year01234Cash Flow(in millions)$50.8$9.1$20.4$20.8$15.8The firm believes that, given the risk of this project, the WACC method is the appropriate approach to valuing the project. RiverRocks' WACC is 12.9%.Should it take on this project? Why or why not?The net present value of the project is - ? million.(Round to three decimal places.) Purchases Transactions Rolfes Company purchased merchandise on account from a supplier for $9,200, terms 1/10, n/30. Rolfes returned $1,400 of the merchandise and received full credit. a. If Rolfes Company pays the invoice within the discount period, what is the amount of cash required for the payment? If required, round the answer to the nearest dollar. $_____ b. What account is debited by Rolfes Company to record the return? ______