Let * be an operation defined on the real numbers R by x*y = x +y - ry. Please answer the following questions and explain your answers. (a) Is * closed on the real numbers? (b) Is * commutative? (c) Is * associative? (d) Does * have an identity element? If so, does every integer have an inverse? (e) Is (R, *) a group?

Answers

Answer 1

(a) No, the operation * is not closed on the real numbers.

To determine closure, we need to check if for any two real numbers x and y, xy is also a real number. However, if we choose r to be any real number other than 1, the result of xy will involve a term (-ry) that may not be a real number, breaking closure.

(b) No, the operation * is not commutative.

Commutativity requires that xy = yx for all real numbers x and y. However, in this case, xy = x + y - ry, while yx = y + x - rx. Since ry and rx are not generally equal, the operation is not commutative.

(c) No, the operation * is not associative.

Associativity requires that (xy)z = x(yz) for all real numbers x, y, and z. However, if we substitute the definition of * into both sides of the equation, we get different expressions that are generally not equal. Therefore, the operation * is not associative.

(d) Yes, the operation * has an identity element.

The identity element e is a real number such that for any real number x, xe = ex = x. In this case, choosing e = 0 satisfies the identity condition, as x0 = x + 0 - r0 = x. However, not every real number has an inverse since there are values of x for which xy = e has no solution, violating the requirement for every element to have an inverse.

(e) No, (R, *) is not a group.

A group requires closure, associativity, an identity element, and every element having an inverse. Since the operation * fails to satisfy closure and does not have inverses for all real numbers, it cannot form a group.

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Related Questions

What's 9 divided by 4

Answers

9 divided by four is 7

Answer:

2.25 or 2(1/4)

Step-by-step explanation:

Type into a calc :)

Different weights are suspended from a spring and the length of the spring is measured. The results are shown in the table below.

(b) Find the correlation coefficient, r.

Answers

The correlation coefficient for the data-set in this problem is given as follows:

r = 0.9553.

How to obtain the correlation coefficient for the data-set?

The coefficient is obtained inserting the points in a data-set in a correlation coefficient calculator.

The input and the output of the data set are given as follows:

Input: weight.Output: length of spring.

From the table, the points are given as follows:

(100, 25), (150, 35), (200, 32), (250, 37), (300, 48), (350, 49), (400, 52).

Inserting these points into the calculator, the correlation coefficient is given as follows:

r = 0.9553.

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how can I solve a standard form of a linear equation?

Answers


The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.

Answer:

A standard form of a linear equation is Ax + By = C

Step-by-step explanation:

For example, 3x + 4y = 7 is a linear equation in standard form. When an equation is given the form it ia pretty easy to find the both intercepts of (x and y). It can be useful when solving a two linear equation.

NEED HELP WHAT ARE THSES TWOO!!

Answers

Answer:
No and No

(I didn’t actually say no, I mean like both answers are no.)

I hope I was right.
Have a nice day

Find a1 for the arithmetic sequence's 21st term is 400 is 400 and it's common difference is 5​

Answers

Answer:

8,395

Step-by-step explanation:

21 x 400 = 8,400

is = x

8, 400 - 5 = 8,395

difference = -

Brainlist Pls!

Solve the following problem using Simplex Method: MAX Z=6X1 + 10X2 + 5 X3 ST X1 + 2X2 + 4X3 <=8 6X1 + 4X2 <=24 6X1 + 5X3 <=30 X1,X2,X3 >=0

Answers

The maximum value of the objective function Z is 120. The optimal values for the decision variables are X1 = 8, X2 = 0, and X3 = 0. The constraints are satisfied, and the optimal solution has been reached using the Simplex Method.

To compute the problem using the Simplex Method, let's convert it into standard form.

Maximize:

Z = 6X1 + 10X2 + 5X3

Subject to the constraints:

X1 + 2X2 + 4X3 <= 8

6X1 + 4X2 <= 24

6X1 + 5X3 <= 30

X1, X2, X3 >= 0

Introducing slack variables S1, S2, and S3 for each constraint, the constraints can be rewritten as equalities:

X1 + 2X2 + 4X3 + S1 = 8

6X1 + 4X2 + S2 = 24

6X1 + 5X3 + S3 = 30

Now, we have the following equations:

Objective function:

Z = 6X1 + 10X2 + 5X3 + 0S1 + 0S2 + 0S3

Constraints:

X1 + 2X2 + 4X3 + S1 = 8

6X1 + 4X2 + S2 = 24

6X1 + 5X3 + S3 = 30

X1, X2, X3, S1, S2, S3 >= 0

Next, we will create the initial simplex tableau:

  | X1 | X2 | X3 | S1 | S2 | S3 | RHS |

---------------------------------------

Z  | 6  | 10 | 5  | 0  | 0  | 0  | 0   |

---------------------------------------

S1 | 1  | 2  | 4  | 1  | 0  | 0  | 8   |

---------------------------------------

S2 | 6  | 4  | 0  | 0  | 1  | 0  | 24  |

---------------------------------------

S3 | 6  | 0  | 5  | 0  | 0  | 1  | 30  |

---------------------------------------

By performing the simplex pivot operations and iterating through the simplex method steps, we find the following tableau:

  | X1 | X2 | X3 | S1 | S2 | S3 | RHS |

---------------------------------------

Z  | 0  | 0  | 5  | -6 | 0  | -60| 120 |

---------------------------------------

X1 | 1  | 2  | 4  | 1  | 0  | 0  | 8   |

---------------------------------------

S2 | 0  | -8 | -24| -6 | 1  | 0  | 0   |

---------------------------------------

S3 | 0  | 0  | -1 | -6 | 0  | 1  | 0   |

---------------------------------------

The optimal solution is Z = 120, X1 = 8, X2 = 0, X3 = 0, S1 = 0, S2 = 0, S3 = 0.

Therefore, the maximum value of Z is 120, and the values of X1, X2, and X3 that maximize Z are 8, 0, and 0, respectively.

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The diameter of a circle is 63 centimetres find its circumference use pie = 3.14

Answers

Answer:

197.9

Step-by-step explanation:

The formula for circumference is 2(pi)r   and r is the radius

The diameter is two times the size of the radius, so by dividing the diameter by two, you can get the radius

So, r=63/2

r= 31.5

That means that 2(pi)(31.5) is the circumference

2(pi)(31.5) = 197.9 (rounded to the nearest tenth)

diameter= 63cm

63π = 197.92 =

Answer: 198cm if rounded by whole number.

Solve the initial value problem below using the method of Laplace transforms.
y'' + 2y' - 3y = 0, y(0) = 2, y' (0) = 18

Answers

To solve the initial value problem using the method of Laplace transforms, we'll first take the Laplace transform of both sides of the differential equation.

Taking the Laplace transform of each term, we get:

Ly'' + 2Ly' - 3Ly = 0

Using the properties of Laplace transforms and the initial value theorem, we can write the transformed equation as:

[tex]s^2Y(s) - sy(0) - y'(0) + 2sY(s) - 2y(0) - 3Y(s) = 0[/tex]

Substituting the initial conditions y(0) = 2 and y'(0) = 18, we have:

[tex]s^2Y(s) - 2s - 18 + 2sY(s) - 4 - 3Y(s) = 0[/tex]

Grouping similar terms, we obtain:

[tex](s^2 + 2s - 3)[/tex]Y(s) = 24 + 2s

Now, we can solve for Y(s) by dividing both sides by ([tex]s^2 + 2s - 3)[/tex]

Y(s) = (24 + 2s) /[tex](s^2 + 2s - 3)[/tex]

To find the inverse Laplace transform and obtain the solution y(t), we need to factor the denominator of the expression on the right-hand side:

s^2 + 2s - 3 = (s + 3)(s - 1)

We can rewrite the expression for Y(s) as:

Y(s) = (24 + 2s) / [(s + 3)(s - 1)]

Now, we need to perform partial fraction decomposition to simplify the expression. We write:

Y(s) = A / (s + 3) + B / (s - 1)

Multiplying both sides by (s + 3)(s - 1) to clear the denominators, we get:

24 + 2s = A(s - 1) + B(s + 3)

Expanding and collecting like terms, we have:

24 + 2s = (A + B)s + (3B - A)

To match the coefficients on both sides of the equation, we equate the coefficients of s and the constants:

A + B = 2 (coefficient of s)

3B - A = 24 (constant term)

Solving this system of equations, we find A = 5 and B = -3.

Now, we can rewrite Y(s) as:

Y(s) = 5 / (s + 3) - 3 / (s - 1)

Taking the inverse Laplace transform of Y(s), we can use the table of Laplace transforms or known formulas to find the solution y(t):

y(t) = 5e^(-3t) - 3e^t

Therefore, the solution to the initial value problem is:

[tex]y(t) = 5e^(-3t) - 3e^t[/tex]

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Can i have some help please!!

Answers

Answer: $93649

Step-by-step explanation:

Since this is an exponential growth problem, then we can use the equation 50,000(1.04)^16. Solve it and you get 93649.06228. Round to the nearest dollar, which is probably whole number, so it is 93649.

Mr. Bennett wants to evaluate the cost of a warehouse. He
estimated the warehouse to be 400 feet long and 150 feet
wide. The actual dimensions of the warehouse are 320 feet
long and 100 feet wide. What was the percent error in
Mr. Bennett's calculation of the area of the warehouse?
Round to the nearest hundredth.
I NEED HELP

Answers

Answer:

-46.677%

Step-by-step explanation:

The computation of the percent error is shown below:

As we know that

Area of the warehouse = length × width

Based on estimated values, the area is

= 400 × 150

= 60,000

And, based on actual values, the area is

= 320 × 100

= 32,000

Now the percent error is

= (32,000 - 60,000) ÷ 60,000 × 100

= -46.677%

Angle C and angle D are complementary. The measure of angle C is (2x)° and the measure of angle D is (3x)°. Determine the value of x and the measure of the two angles.
The two angles are
C= 36
D= 54
So what is variable x?

Answers

Step-by-step explanation:

C+D=90

2x+3x=90

5x=90

X=90:5=18

Find the solution to the linear system of differential equations (0) = 1 and y(0) = 0. { 10.0 - 12y 4.0 - 4y satisfying the initial conditions x(t) = __ y(t) = __ Note: You can earn partial credit on this problem.

Answers

The solution to the system of differential equations with the initial conditions x(0) = 1 and y(0) = 0 is:

x(t) = 10t - 12yt + C₁

y(t) = (1 + C₂exp(-4t)) / 2

To find the solution to the linear system of differential equations x'(t) = 10 - 12y and y'(t) = 4 - 4y, we can solve them separately.

For x'(t) = 10 - 12y:

Integrating both sides with respect to t, we have:

∫x'(t) dt = ∫(10 - 12y) dtx(t) = 10t - 12yt + C₁

Now, for y'(t) = 4 - 4y:

Rearranging the equation, we have:

y'(t) + 4y = 4

This is a first-order linear homogeneous differential equation. To solve it, we use an integrating factor. The integrating factor is given by exp(∫4 dt), which simplifies to exp(4t).

Multiplying both sides of the equation by the integrating factor, we get:

exp(4t) y'(t) + 4exp(4t) y(t) = 4exp(4t)

Now, we can integrate both sides with respect to t:

∫[exp(4t) y'(t) + 4exp(4t) y(t)] dt = ∫4exp(4t) dt

Integrating, we have:

exp(4t) y(t) + ∫4exp(4t) y(t) dt = ∫4exp(4t) dtexp(4t) y(t) + exp(4t) y(t) = ∫4exp(4t) dt2exp(4t) y(t) = ∫4exp(4t) dt

Simplifying, we get:

2exp(4t) y(t) = exp(4t) + C₂

Dividing both sides by 2exp(4t), we obtain:

y(t) = (exp(4t) + C₂) / (2exp(4t))

Simplifying further, we have:

y(t) = (1 + C₂exp(-4t)) / 2

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4. Find the inverse Laplace transform of: (s^2 - 26s – 47 )/{(s - 1)(s + 2)(s +5)} 5. Find the inverse Laplace transform of: (-2s^2 – 3s - 2)/ {s(s + 1)^2} 6. Find the inverse Laplace transform of: (-5s - 36)/ {(s+2)(s^2+9)}.

Answers

The inverse Laplace transform of (-5s - 36) / ((s + 2)(s²+ 9)) is [tex]-4e^{-2t}[/tex]+ (-cos(3t) + 8sin(3t))/3.

To find the inverse Laplace transforms of the given expressions, we can use partial fraction decomposition and known Laplace transform pairs. Let's solve each one step by step:

To find the inverse Laplace transform of (-2s² - 3s - 2) / (s(s + 1)²):

Step 1: Factorize the denominator:

s(s + 1)² = s(s + 1)(s + 1)

Step 2: Perform partial fraction decomposition:

(-2s² - 3s - 2) / (s(s + 1)²) = A/s + (B/(s + 1)) + (C/(s + 1)²)

Multiplying through by the common denominator, we get:

-2s² - 3s - 2 = A(s + 1)² + B(s)(s + 1) + C(s)

Expanding and equating coefficients, we find:

-2 = A

-3 = A + B

-2 = A + B + C

Solving these equations, we find: A = -2, B = 1, C = 0.

Step 3: Express the inverse Laplace transform in terms of known Laplace transform pairs:

[tex]L^{-1(-2s^{2} - 3s - 2) }[/tex]/ (s(s + 1)²) = [tex]L^{-1(-2/s)}[/tex] + [tex]L^{-1(1/(s + 1)) }[/tex]+ [tex]L^{-1(0/(s+1)^{2} }[/tex]

= -2 + [tex]e^{-t}[/tex]+ 0t[tex]e^{-t}[/tex]

Therefore, the inverse Laplace transform of (-2s² - 3s - 2) / (s(s + 1)²) is -2 + [tex]e^{-t}[/tex].

To find the inverse Laplace transform of (-5s - 36) / ((s + 2)(s² + 9)):

Step 1: Factorize the denominator:

(s + 2)(s² + 9) = (s + 2)(s + 3i)(s - 3i)

Step 2: Perform partial fraction decomposition:

(-5s - 36) / ((s + 2)(s² + 9)) = A/(s + 2) + (Bs + C)/(s² + 9)

Multiplying through by the common denominator, we get:

-5s - 36 = A(s² + 9) + (Bs + C)(s + 2)

Expanding and equating coefficients, we find:

-5 = A + B

0 = 2A + C

-36 = 9A + 2B

Solving these equations, we find: A = -4, B = -1, C = 8.

Step 3: Express the inverse Laplace transform in terms of known Laplace transform pairs:

[tex]L^{-1(-5s - 36)}[/tex] / ((s + 2)(s² + 9)) = [tex]L^{-1(-4/(s + 2))}[/tex] + [tex]L^{-1((-s + 8)/(s^2 + 9)}[/tex])

= [tex]-4e^{-2t}[/tex] + (-cos(3t) + 8sin(3t))/3

Therefore, the inverse Laplace transform of (-5s - 36) / ((s + 2)(s²+ 9)) is [tex]-4e^{-2t}[/tex]+ (-cos(3t) + 8sin(3t))/3.

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help mee plz... i ' m in trouble

ans 2,3&4

Answers

Step-by-step explanation:

2) a= -3/8 and b= -5/3

a×b= b×a

-3 × -5 = -5 × -3

8. 3. 3. 8

15 = 15

24. 24

3)a=8/11 and b= -6/11

a×b=b×a

8 × -6 = -6 × 8

11. 11. 11. 11

-48 = -48

121. 121

4) a= -9/15 and b= -7/2

a×b=b×a

-9 × -7 = -7 × -9

15. 2. 2. 15

63 = 63 , let's divide both by 3

30. 30

21 = 21

10. 10

11. A bag contains 2 blue marbles and 2 green marbles. What is the probability of drawing a blue marble followed by a green marble, without replacing the first marble before drawing the second marble?
Please show work ty​

Answers

Answer: your answer should be 50%

Step-by-step explanation: This is because there are only four marbles in the bag total and only 2 are blue and only 2 are green so your chances of pulling out either is 50%

Answer:

33%

Step-by-step explanation:

2 blue marbles + 2 green marbles = 4 marbles

1st draw for blue:   2/4               (2 blue marbles out of 4 marbles)

2nd draw for green:   2/3          (1 less marble from 4, marble not put back in)

2/4  x  2/3   = 4/12 = 1/3 = 0.33 or 33%


Please help. No files allowed or you will be reported

Answers

I’m confused because I’m a child and I was asking a question so mind ur business

Determine the area and circumference of a circle with diameter 20 inches.

Answers

The area of the circle with a diameter of 20 inches is 100π square inches, and the circumference of the circle is 20π inches.

To determine the area and circumference of a circle with a diameter of 20 inches, you need to use the formulas for these measures.

A circle is a set of points that are equidistant from the center point, and the diameter of a circle is the longest line that can be drawn from one point on the circle to another while passing through the center point. The formulas for the area and circumference of a circle are as follows:

A = πr²C = πd

where A is the area of the circle, C is the circumference of the circle, r is the radius of the circle, d is the diameter of the circle, and π (pi) is a mathematical constant that approximates to 3.14.

To find the area of a circle with a diameter of 20 inches, you need to find the radius of the circle first. The radius is half of the diameter, so r = d/2 = 20/2 = 10 inches. Therefore, the area of the circle is:A = πr² = π(10)² = 100π square inches (rounded to two decimal places).

To find the circumference of a circle with a diameter of 20 inches, you can either use the formula C = πd or you can use the formula C = 2πr. Since you already know the diameter, let's use the first formula. C = πd = π(20) = 20π inches (rounded to two decimal places).

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Which of the following is true. Select all that are true. U (57 = -13 mod 7) and (235 = 23 mod 13) 57 = 13 mod 7 2-14 = -28 mod 7 (-14 = -28 mod 7) or (235 = 23 mod 13) 235 = 23 mod 13

Answers

Among the statements provided, the only true statement is that 235 is congruent to 23 modulo 13.

In modular arithmetic, congruence is denoted by the symbol "=" with three bars (≡). It indicates that two numbers have the same remainder when divided by a given modulus.

Let's evaluate each statement:

1. 57 ≡ -13 (mod 7): This statement is false. The remainder of 57 divided by 7 is 1, while the remainder of -13 divided by 7 is -6 or 1 (since -13 and 1 have the same remainder when divided by 7, but -6 is not equivalent to 1 modulo 7). Therefore, 57 is not congruent to -13 modulo 7.

2. 235 ≡ 23 (mod 13): This statement is true. The remainder of 235 divided by 13 is 4, and the remainder of 23 divided by 13 is also 4. Hence, 235 is congruent to 23 modulo 13.

3. 57 ≡ 13 (mod 7): This statement is false. The remainder of 57 divided by 7 is 1, while 13 divided by 7 has a remainder of 6. Thus, 57 is not congruent to 13 modulo 7.

4. 2 - 14 ≡ -28 (mod 7): This statement is false. The left side of the congruence evaluates to -12, which is not equivalent to -28 modulo 7. The remainder of -12 divided by 7 is -5, while the remainder of -28 divided by 7 is 0. Hence, -12 is not congruent to -28 modulo 7.

In conclusion, the only true statement is that 235 is congruent to 23 modulo 13.

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How many solutions does this equation have? –7q + 7 = 4 − 4q
- no solution
-one solution
-infinitely many solutions

Answers

Answer: One answer

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

I believe the answer is (A)

*Substituting the x and y values from the table into the equation(A) will balance the right side of the equation to the left side of the equation.


a
& b
5. Find the following limits. (a) lim40 12 (b) limz+1+1 +22-22+2 i 2-iz-1-1

Answers

The limits are,

(a) lim(x→0) 4x/(x² + 1) = 0

(b) lim(z→-1) (1 + √(2 - 2z + z²))/(2 - iz - 1) = ((1 + √(5))(3 - i))/10

(a) To find the limit of lim(x→0) 4x/(x² + 1), we can directly substitute 0 for x in the expression:

lim(x→0) 4x/(x² + 1) = (4 × 0)/(0² + 1) = 0/1 = 0

Therefore, the limit is 0.

(b) To find the limit of lim(z→-1) (1 + √(2 - 2z + z²))/(2 - iz - 1), we can again substitute -1 for z in the expression:

lim(z→-1) (1 + √(2 - 2z + z²))/(2 - iz - 1) = (1 + sqrt(2 - 2(-1) + (-1)^2))/(2 - i(-1) - 1)

= (1 + √(2 + 2 + 1))/(2 + i + 1)

= (1 + √(5))/(3 + i)

To simplify this expression further, we need to rationalize the denominator. We can multiply the numerator and denominator by the conjugate of the denominator, which is (3 - i):

lim(z→-1) (1 + √(5))/(3 + i) × (3 - i)/(3 - i)

= ((1 + √(5))(3 - i))/(9 - i²)

= ((1 + √(5))(3 - i))/(9 + 1)

= ((1 + √(5))(3 - i))/10

Therefore, the limit is ((1 + √(5))(3 - i))/10.

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The question is -

Find the following limits:

(a) lim(x->0) 4x/(x^2 + 1)

(b) lim(z->-1) (1 + sqrt(2 - 2z + z^2))/(2 - iz - 1)

YALL PLEASE HELP, need to turn this in ASAP

Answers

Answer:

I believe the answer is 1,800 :)

Step-by-step explanation:

1,500x0.20=300+1,500=1,800

Hope this helped!

how do I solve this equation in picture

Answers

The total number of people surveyed is 75.

How many people were surveyed?

The first step is to determine the number of people who had 4 or more rides that preferred a window seat.

= Total number of people that had four or more rides - total number of people who had 4 or more rides that prefer aisle

= 40 - 25 = 15

Total number of people that prefer the window seats= 15 + 20 = 35

Total number of people = total number of people that prefer the window seat + total number of people who prefer the aisle

= 35 + 40 = 75

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Kim is repainting a storage trunk shaped like a rectangular prism as shown.

Kim will paint all the faces of the outside of the storage trunk when it is closed. How many square feet will Kim paint?

Answers

Answer:

i got 54ft^2

Step-by-step explanation:

39 POINT BRAIN.LY QUESTION WHAAA

Answers

Answer:

thx for the points

Step-by-step explanation:

Answer:

Where is the question tho whaaAAaaaa

A bag of Skittle contains 16 red, 4 orange, 10 yellow, and 12 green Skittles. What is the ratio of yellow to red Skittles?

Answers

Answer:

5:8

Step-by-step explanation:

yellow:red

10:16

simplified would be 5:8

***important note, when doing ratio, make sure to list the term that is asked for first. example: it's yellow to red skittles and not red to yellow. red to yellow would be 8:5 and that would be a wrong answer, so read carefully:)

Answer:

5:8

Step-by-step explanation: you can divide 10:16 by 2 to make 5:8, and that is the simplest form.

A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it.

If there’s a red mark on the bottom of the duck, the person wins a small prize.
If there’s a blue mark on the bottom of the duck, the person wins a large prize.
Many ducks do not have a mark.

After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize.

Estimate the number of the 160 ducks that you think have red marks on the bottom

Answers

Answer:

Here is the answer

Step-by-step explanation:

That will show you.

Find the surface area.
24 in.
40 in.
10 in.
26 in.

Answers

Answer:

100 i think

Step-by-step explanation:

Bella withdrew $80 from her checking account over a period of 4 weeks. Which equation can be used to represent the average weekly change in her bank account?

A.+$800÷−4=−$200
B.−$800÷−4=$200
C.+$800÷4=−$200
D.−$800÷4=−$200

Answers

Answer:

D is the answer

Step-by-step explanation:

D is the answer to the question

PLEASE HELPPPPPPPPPPPP

Answers

Answer:

Half of 7 is 3.5

That would be your radius.

3.5^2 x 3.14

12.25 x 3.14 = 38.465 yd2 <--------- area

3.14 x 3.5 x 2 = 21.98yd <------- perimeter

Other Questions
Each of the following is what type of responsibility center? a. office of the accounting firm Jack b. English Department of a college c. Cafeteria at a hospital d. Sales staff at a car dealership Court Casuals has the following beginning balances in its stockholders'equity accounts on January 1.2021:Common Stock,$90.000 Additional Paid-in Capital,$4.100.000:and Retained Earnings,$3.000,000.Net income for the year ended December 31,2021,is $900.000.Court Casuals has the following transactions affecting stockholders'equity in 2021: May 18 Issues 26,000 additional shares of $1 par value common stock for $50 per share. May 31 Purchases 4,500 shares of treasury stock for $40 per share. Julyl Declares a cash dividend of $2 per share to ail stockholders of record on July 15. Hint: Dividends are not paid on treasury stock. July 31 Pays the cash dividend declared on July 1. August 18 Resells 2,500 shares of treasury stock purchased on May 31 for $52 per share Taking into consideration all the entries described above,prepare the statement of stockholders'equity for the year ended December 31,2021,using the format provided.(Amounts to be deducted should be indicated with a minus sign.) COURT CASUALS Stelement of Stockholdara'Equity For the Yoar Ended December31.2021 Additional Common Ratained Pald-in Stock Earmings Capltal 90,000 $4,100,000 $3,000,000 Treasury Stock Total Stockholders Equlty $7,190,000 Balance,January 1 issue common stock Purchase treasury stock Cash dividends Resell treasury stock Net income Balance,December 31 90,000$4.100,000$3,000,000$ 0$7.190.000 Can someone please give me a sentence with Jim Crow laws plz 5) Describe crossing-over. When does crossing-over occur? What is the result? Assume that the economy in a particular period is characterized by the following data: Actual inflation rate: 1.8 percent Target inflation rate: 3.0 percent Neutral real interest rate: 1.8 percent Out Domestic violence and its association with pre-term or low birthweight delivery in Vietnam. International Journal of Women Health 2019:11 501510""What study design does this study employ and identify from the paper methods sections key characteristics that support the design you just noted using bullet points". Find the Laplace transform of the function f(t) = t sin(4t) +1. PLEASE HELP!Find the area and circumference of the following. Leave in terms of pi. * 2 poir16Area = 100pi and Circumference = 50 piArea = 256pi and Circumference = 32 piArea = 100 pi and Circumference = 55 pi Match the climate zone in column 1 to the place in column 2. A company's earnings are $4 per share, its dividend is $2 per share, and its stock price is $30 per share. Its P/E is O a. 7.5. O b. 5. O c. 15 percent. O d. 15. A conservative investor should only invest in a variety of bond mutual funds. Select one: O True O False WonderBurgers LLC, is a UK restaurant chain with more than 125 restaurants throughout mainland Britain. The firm positions itself as a 'hip' burger chain, attracting a premium customer segment. Restaurants operate mainly in large metropolitan areas. Recently the company acquired a small burger chain headquartered in France. WonderBurgers, LLC wants to expand operations further by acquiring other restaurant chains in Europe. WonderBurgers LLC decided to bring on a consultant (You) to advise them on how to best expand and set up operations in foreign markets. (a) An insulating sphere with radiusa has a uniform charge density rho. The sphere isnot centered at the origin but at.r=bShow that the electric field inside thesphere is given bye=p(r - b)/3E0 A paper that describes the problem of bullying would probably do what at the end?1.explain a new reason for why bullying is harmful2.tell readers how they can help stop bullying3.stop suddenly, with no conclusion4.tell readers that theres nothing they can do about bullying Determine if the relation below represents a function. Explain your reasoning ratio of the surface area to volume? 280 in / 300 in Why do you think so many people withinthe United States took an isolationiststance after WWI? A portfolio's return is normally distributed. It is observed that 99% of the time, the portfolio return is likely to be between 7.1904% and 7.8096%. What is the mean return and standard error? PLS HELP ILL GIVE BRAINLEST!!!!!!!! Calculate the relative pipe roughness for a plastic pipe with absolute roughness 0.0025 mm and internal diameter of pipe is 0.157 inches. GIVING BRAINLIEST!!!!!Sally is looking for a website with information about dogs. Which text feature should she use?A) GraphB) MapC) Search engineD) Table of Contents