What is the value of the expression iºxi1xi2 xj3 xi4?

Answers

Answer 1

Answer:

The value of the given expression is - 1

Step-by-step explanation:

I believe you meant this expression to be iº [tex]*[/tex] i¹ [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴. If that is so, then we can assume that i = imaginary number, and solve for the value of the expression.

Anything taken to the power of 0 is 1, therefore we can simplify the expression as such,

1 [tex]*[/tex] i¹ [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴ ... at the same time anything taken to the power of one, is simply the base value, so -

1 [tex]*[/tex] i [tex]*[/tex] i² [tex]*[/tex] i³ [tex]*[/tex] i⁴ ... we know that multiplying values of like bases can be combined by adding their exponents, so let's apply that rule -

1 [tex]*[/tex] i¹⁰ ... let's break i¹⁰ into ( i² )⁵. i² is, in other words, - 1 applying the imaginary number rule. Respectively ( - 1 )⁵ = - 1, our solution.


Related Questions

Multiply and simplify (x2)(x4)(x-5)

Answers

Answer:

(x45)

Step-by-step explanation:

(x2) (x4) (x-5)

(x8) (x-5)

(x45)

why is it important to break down the radical into its prime factor?

Answers

Answer:

The prime factors of a number are all the prime numbers that, when multiplied together, equal the original number. You can find the prime factorization of a number by using a factor tree and dividing the number into smaller parts.

Step-by-step explanation:

A particular movie theater charges $7.00 per adult and $4.50 per child. Suppose 450 people attended a movie and the total revenue from ticket sales was $2650. Write linear equations for the two constraints, where z represents the number of adults attending the
movie and y represents the number of children attending the movie. 1= ,2=?

Answers

Answer:

7z + 4.5y = 2650

z + y = 450

Step-by-step explanation:

The first equation represents the amount of money made from ticket sales for both adult and child tickets.

The second equation represents the amount of customers, both adult and child, that attended the theatre.

Using both equations you cans find the number of adults and children that attended the theatre.

Cheers.

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

Edit: Solving for the variables

There are two easy ways to solve for these values. The first is using an augmented matrix and solving with that method.

7 4.5 | 2650

1 1 | 450

After are augmented matrix is set up, we simply use row operations on the matrix to solve for 1s on the diagonal.

The second method for solving is equation addition or variable substitution to solve for each variable.

7z + 4.5y = 2650

z + y = 450

7(450-y) + 4.5y = 2650

3150 - 7y + 4.5y = 2650

-2.5y = -500

y = 200

Plug back in y into one of the equations to solve for z.

z + 200 = 450

z = 250

So there were 250 adults and 200 children.

Maurice has a String that is 15 inches long. He has beads that are 3 inches long. How many beads will fit on the string?

Answers

Answer:

5

Step-by-step explanation:

Take the length of the string and divide by the length of a bead

15/3 = 5

We can fit 5 beads

Answer:

5 beads

Step-by-step explanation:

In order to find out how many 3-inch beads could fit onto a 15-inch string, we have to divide the numbers to find out how many beads could fit onto the string.

[tex]\frac{15}{3} =5[/tex]

Maurice can fit 5 beads onto the 15-inch string.

Which of the following equations have exactly one solution? Choose all answers that apply:
A -13x+12=13x+13
B -13x+12=13x-13
C 12x+12=13x+12
D 12x+12=13x-12
I need correct answer and description, so I can put Brainliest

Answers

Answer:

a

b

c

d

Step-by-step explanation:

Well lets look,

a)

If both slopes are different and have different y intercepts they have 1 solution.

So a has 1 solution

b)

Both slopes are different with different y intercepts.

1 solution

c)

Both slopes are different with different y intercepts

1 solution

d)

Different slopes different y intercepts

1 solution.

For proof look at the images below.

Thus,

the answer is a,b,c, and d.

Hope this helps :)

HELPPPP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.

Answers

Answer:

26

Step-by-step explanation:

Let's find first the lower quartile in both A and B

steps:

look for the smallest sum of two consecutive numbers divide by 2 to get the lower quartile

A

73 and 75 are the smallest consecutive numbers

73+75 = 148 148/2 =74

The lower quartile in A is 74

B

47 and 49 are the smallest consecutive numbers

47+49 = 9696/2 = 48

The lower quartile in B is 48

74-48 = 26

Answer:

29

Step-by-step explanation:

To find the lower quartile of each you need to find the median to split them into 2 groups (upper and lower quartile).

Lower quartile of Set A: 73, 75, 79, 81, 84, 85

Lower quartile of Set B: 47, 49, 51, 51, 55, 56

Now you find the median of the 2

Set A: 80

Set B: 51

Lastly you subtract A & B and get 29

Find the magnitude of the vector.
(-2,-7)

Answers

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

[tex]\begin{pmatrix}-2&-7\end{pmatrix}\\=\sqrt{\left(-2\right)^2+\left(-7\right)^2}\\\\[/tex]

Then you need to simplify:

[tex]=\sqrt{2^2+\left(-7\right)^2}\\=\sqrt{2^2+7^2}\\=\sqrt{4+7^2}\\=\sqrt{4+49}\\=\sqrt{53}[/tex]

Answer:

53

Step-by-step explanation:

Rectangle GHJK is rotated 180º using the origin as the center of rotation. What are the coordinates of the image’s point K after the rotation? On a coordinate plane, rectangle G H J K has points (2, negative 3), (8, negative 3), (8, negative 7), (2, negative 7). (–2, 7) (–7, –2) (–7, 2) (2, 7)

Answers

Answer:

(-2,-7)

Step-by-step explanation:

Answer:

-2,-7

Step-by-step explanation:

The graph of F(x), shown below, has the same shape as the graph of
G(x) = x2. Which of the following is the equation of Fx)?
ASAP

Answers

Answer:

  B.  f(x) = x^2 -2

Step-by-step explanation:

The graph of f(x) is the graph of g(x) moved down 2 units, so is ...

  f(x) = g(x) -2

  f(x) = x^2 -2

_____

Adding a constant to the value of a function moves the graph vertically by the value of the added constant.

determine which function has the greatest rate of change as x approaches infinity
f(x)= 2^x- 10
g(x)=16x-4
h(x) = 3x^2-7x+8
there is not enough information to determine the answer​

Answers

Answer:

f(x)= 2^x-10

Step-by-step explanation:

Exponential functions are ALWAYS greater in the long run!

Answer:

A) f(x) = 2^x − 10

Step-by-step explanation:

I graph all of these functions and f(x) = 2^x − 10 surpasses the other two functions.  Exponential growth functions always exceed linear growth functions over time.

In a particular​ year, a total of 44,064 students studied in two of the most popular host countries when traveling abroad. If 8382 more students studied in the most popular host country than in the second most popular host​ country, find how many students studied abroad in each country. There were _______ students who studied abroad in the most popular host country.

Answers

Answer:

The answer would be 35066 :)

Step-by-step explanation:

(y+5554) + y = 64578

Combine like terms

2y = 64578-5554

2y = 59024

y = 29512

x = 29512 + 5554 = 35066

When solving this system of linear equations with the elimination method,
you can multiply the bottom equation by 3.
3x +6y - 38
3( 5x - 2y) = 3(-30)
This step works because of the
O A. commutative property
O B. multiplication property of equality
O C. distributive property
O D. addition property of equality

Answers

Answer:

B.

Step-by-step explanation:

Multiplication property of equality.

A simple example is

 x = x    Multiply by 3:

3x = 3x

This step works because of the distributive property - option C.

System of Linear Equations

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

Properties of Multiplication

The properties of multiplication are:

Distributive:  a(b±c)=  ab±acComutative:   a . b = b. aAssociative:    a(b+c)=  c(a+b)Identity: b.1=b

For the given system linear system was used the distributive property. Because it was used as a common factor to multiply an expression with a sum.

Read more about the distributive property  here:

https://brainly.com/question/4077386

#SPJ2

A person stands 12 meters east of an intersection and watches a car driving away from the intersection to the north at 4 meters per second. At a certain instant, the car is 9 meters from the intersection. What is the rate of change of the distance between the car and the person at that instant (in meters per second)?

Answers

Answer: the rate of change of the distance between the car and the person at that instant is 4 meters per second

Step-by-step explanation:

According to the Pythagorean theorem, we have:

d^2 = (12^2 + 9^2)

Differentiating both sides with respect to time:

2d * (dd/dt) = 0 + 2(9) * (9''), Simplifying the equation, we get:

2d * (dd/dt) = 2(9) * (9'')

Substituting the given values:

2d * (dd/dt) = 2(9) * (4) [the car is moving at a constant velocity of 4 m/s]

Simplifying further:

2d * (dd/dt) = 72

we divide both sides by 2d:

dd/dt = 72 / (2d)

substitute this value into the equation to find the rate of change of the distance:

dd/dt = 72 / (2 * 9) = 4 m/s

The rate of change of the distance between the car and the person at that instant is -12/5 meters per second.

Given information:

The person is standing 12 meters east of the intersection.

The car is driving away from the intersection to the north at a constant speed of 4 meters per second.

At a certain instant, the car is 9 meters from the intersection.

Using the Pythagorean theorem, determine D(t) in terms of the car's distance from the intersection, which we'll call x(t).

Since the person is 12 meters east of the intersection, the distance D(t) can be expressed as:

[tex]D(t) = \sqrt{(x(t)^2 + 12^2)[/tex]

Differentiating both sides of the equation with respect to time, we get:

[tex]dD/dt = (1/2) * (x(t)^2 + 12^2)^{(-1/2)} * 2x(t) * dx(t)/dt[/tex]

So, dx(t)/dt = -4

Substituting this value into the equation for dD/dt, we have:

[tex]dD/dt = (1/2) * (x(t)^2 + 12^2)^{(-1/2)} * 2x(t) * (-4)[/tex]

[tex]dD/dt = -4x(t) / \sqrt{(x(t)^2 + 144)[/tex]

At the instant when the car is 9 meters from the intersection, substitute x(t) = 9 into the equation:

[tex]dD/dt = -4(9) / \sqrt{(9^2 + 144)[/tex]

          = -36 / √(81 + 144)

          = -36 / √225

          = -36 / 15

          = -12/5

Therefore, the rate of change is -12/5 meters per second.

Learn more about Rate of change here:

https://brainly.com/question/29181688

#SPJ12

Multiply 4/5 × 3/20. in simplest form

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

3/25

▹ Step-by-Step Explanation

[tex]\frac{4}{5} * \frac{3}{20} \\\\= \frac{12}{100} \\\\\frac{12}{100} divide each side by 4\\\\\frac{12}{100} \\\\= \frac{3}{25}[/tex]

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

4/5 * 3/20
= 4*3/5*20
=12/100
=3/25

UGH ONLY EXPERT GIVE ME ANSWER PPL DO WRONG ANSWERS Find the number of rectangles in 6×6 chessboard. ITS NOT 36

Answers

Answer:

I think it is 441

Step by step explanation:

To make a rectangle you need to pick any two of the vertical lines, and any two of the horizontal lines. So there would be 91 squares and 441 rectangles.

plz help me i have a fever and i don't want to do math

Answers

Answer:

Four books  because there are the most dots over that spot on the bottom number line thingy

The answers to this question would be 7

Match each solution to the equation it solves.

Answers

Hi there! Hopefully this helps!

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

Answer to the first equation: 3.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer to the second equation: 7

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer to the third equation: -2.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer to the fourth equation: -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer:

3

7

-2

-3

Step-by-step explanation:

in that exact order

Find the measure of y.

Answers

the measure of y is 133
The measure of y should be 133

Rectangle has DEFG vertices D(-6, -5), E(-6,-2), F(-2,-2) and G(-2, -5). The figure is first translated 3 units up and then rotated 90 degree clockwise about the origin. What is the shape of the figure after this sequence of transformations?

Answers

Answer:

  a rectangle

Step-by-step explanation:

Translation and rotation are rigid transformations. They do not change the shape or size. The figure is still a rectangle after these transformations.

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

x=10

Step-by-step explanation:

We can use the Pythagorean theorem to find x

The height meets the base at a right angle

The base is bisected ( cut in half) so the base is 6 the height is 8

a^2 + b^2 = c^2

6^2 + 8^2 = x^2

36+64 = x^2

100 = x^2

Taking the square root of each side

sqrt(100) = sqrt(x^2)

10 = x

Answer:

10

Step-by-step explanation:

This triangle is divided into 2 identical rigth triangles.

We will use the pythagorian theorem:

●8^2+ (12/2)^2 =x^2

● 64 + 36 = x^2

● x= 10

So x is 10

An airplane takes 5 hours to travel a distance of 3900 miles with the wind. The return trip takes 6 hours against the wind. Find the speed of the plane in still air and the speed of the wind. The speed of the plane in still air is _____ (mph,hour,miles) and the speed of the wind is ____(mph,hour,miles)

Answers

Answer:

not quite sure what this is asking for but the average speed is 7800/11

It did 7800/11 ¯\(º_o)/¯

Pls help with this question thank u all

Answers

Answer:

4 cm (A)

Step-by-step explanation:

triangle BAC is just a larger version of triangle EAD. given that ED is 5cm, and BC is 10cm, triangle BAC must be twice the size of EAD. since the ratio of AD to ED is 4:5, and BC is twice the size, all we need to do is multiply both sides by 2 to find length AC. 4*2 = 8. now we can subtract length AD from AC to get CD. 8 - 4 = 4.

sorry if what i wrote is a little confusing

Answer:

(A) 4cm


Explanation

The factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot: 1 is labeled + x, 1 is labeled negative. 5 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 10 tiles are in the Product spot: 1 is labeled + x squared, 1 is labeled negative x, the 4 tiles below + x squared are labeled + x, and the 4 tiles below the negative x tiles are labeled negative. What are the factors of x2 + 3x – 4? (x + 4) and (x – 4) (x + 3) and (x – 4) (x + 4) and (x – 1) (x + 3) and (x – 1)

Answers

Answer:

[tex]\Large \boxed{(x+4)(x-1)}[/tex]

Step-by-step explanation:

Hello,

[tex]x^2+3x-4\\\\\text{*** The product of the zeroes is -4=-1*4 and their sum is -3=-4+1. ***}\\\\\text{*** So we can factorise. ***}\\\\x^2+3x-4=x^2-x+4x-4=x(x-1)+4(x-1)=\large \boxed{(x+4)(x-1)}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The factors of given function are (x + 4) and (x - 1)

To undestand more, check below explanation.

Factors of function:

The modeled for algebra tiles is given as,

                 [tex]f(x)=x^{2} +3x-4[/tex]

We have to find the factors of given function.

Factoring means finding expressions that can be multiplied together to give the given equation.

If a quadratic equation can be factored, it is written as a product of linear terms.

            [tex]f(x)=x^{2} +3x-4\\\\f(x)=x^{2} +4x-x-4\\\\f(x)=x(x+4)-1(x+4)\\\\f(x)=(x+4)(x-1)[/tex]

Hence, the factors of given function are (x + 4) and (x - 1)

Learn more about the factors here:

https://brainly.com/question/25829061

If a function f has an inverse function, then fis one-to-one.
A) True
B) False

Answers

Answer:

true

Step-by-step explanation:

P(n) models the probability, when rolling a pair of dice, of obtaining two numbers whose sum is n 2 6 7 P(n) 1/36 5/36 6/36 when does the probability increase faster? a)Between a sum of 2 and a sum of 6 b) Between a sum of 6 and a sum of 7 c)the probability increases at the same rate over both intervals

Answers

Answer:

Option c.

Step-by-step explanation:

From the given table, it is clear that

[tex]P(2)=\dfrac{1}{36}[/tex]

[tex]P(6)=\dfrac{5}{36}[/tex]

[tex]P(7)=\dfrac{6}{36}[/tex]

The increasing rate of probability between a sum of 2 and a sum of 6 is

[tex]r_1=\dfrac{P(6)-P(2)}{6-2}[/tex]

[tex]r_1=\dfrac{\dfrac{5}{36}-\dfrac{1}{36}}{4}=\dfrac{1}{36}[/tex]

The increasing rate of probability between a sum of 6 and a sum of 7 is

[tex]r_2=\dfrac{P(7)-P(6)}{7-1}[/tex]

[tex]r_2=\dfrac{\dfrac{6}{36}-\dfrac{5}{36}}{1}=\dfrac{1}{36}[/tex]

Since [tex]r_1=r_2[/tex], therefore the probability increases at the same rate over both intervals.

Hence, the correct option is c.

Answer:

c)the probability increases at the same rate over both intervals

Step-by-step explanation:

it was right on khan academy

At Paul Bunyan’s tree farm they sell Fraser firs and blue spruce trees. They plant saplings of these two kinds of trees that are 8 inches in 5 inches tall, respectively. The Fraser firs grow at a constant rate of 12 inches per year, and a blue spruce trees grow at a constant rate of 14 inches per year. After how many years will these trees be at the same height? Express your answer as a common fraction.

Answers

Answer: 3/2

Step-by-step explanation:

Hi, to answer this question we have to write the next expressions::  

Height 1= 8 +12 y

Height 2 =5 +14y

Where y = number of years

Since both heights must be the same

Height 1 = height 2

8+12y = 5+14y

solving for y:

8-5 =14y-12y

3 = 2y

3/2 =y

y = 3/2 years

Feel free to ask for more if needed or if you did not understand something.

8 + 12y = 5 + 14y

12y + 8 = 14y + 5

12y + 8 - 8 = 14y + 5 - 8

12y = 14y - 3

12y - 14y = 14y - 3 - 14y

-2y = -3

(-2y)/-2 = -3/-2

y = 3/2

Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9?

Answers

Answer:

36/25

Step-by-step explanation:

((7*3*2)/7*5)^2 * ((7^0)/(5^-3))^3 * 5^-9

(42/35)^2 * (1/5^-9) * 5^-9

36/25 * 5^9 * 5^-9

36/25 * 5^(9-9)

36/25 * 1

Answer:

35/25

Step-by-step explanation:

i hope this helps

Help please I will name the Brainily answer

Answers

Answer:

B

Step-by-step explanation:

So, for five cups of water, you need one cup of sugar. 1s=5w.

Now, you divide both sides by five.

1/5s=1/w

Please answer this!!! Thank you!!!

Answers

I hope this helped! Good luck with the rest of your class :)

How to find constant M ? did I do anything wrong here ?

Answers

Answer:

M=-1, N=7

Step-by-step explanation:

Something went wrong on the 4th line.

From the third line, it should read

2x^2-x+6Mx-3M+4

=x(2x-1+6M) - 3M+4

Equating with the RHS,

2x-1+6M = 2x-7

6M = -7+1 = -6

M = -1

Therefore

N = -3M+4 = -3(-1)+4 = 7

or

M=-1, N=7

Your answer is M=-1 N=-7
Other Questions
if alvin has 13 sisters and 15 brother and 12 mother and step mothers and 12 are married and have given brith each 23 how many will alvin get T estudias todos los das y por eso ________ bien la biologa.A.sabesB.sabrasC.conocesD.conocer What causes two distinct pressure zones between the equator and the poles?A. Earth's rotationB. The troposphere interacting with the mesophereC. The ozone layerD. The fact that nitrogen is heavier than oxygen Paige launched a ball using a catapult she built. Theheight of the ball (in meters above the ground) t secondsafter launch is modeled byh(t) = -5t2 + 40tPaige wants to know when the ball will hit the ground.1) Rewrite the function in a different form (factoredor vertex) where the answer appears as a number inthe equation.h(t) =2) How many seconds after launch does the ball hitthe ground?seconds 15) In a recent study of 35 ninth-grade students, the mean number of hours per week that they played video games was 16.6. The standard deviation of the population was 2.8. Find the 95 % confidence interval of the mean of the time playing video games. Which statement describes dynamic equilibrium? A. The forces on an object in motion are balanced. B. An object is accelerating due to forces acting on it. C. The forces on an object are unbalanced. D. The forces on a stationary object are balanced. How can changes on earths surface affect changes below surface 3t+1/16-2t-3/7=t+3/8+3t-1/14 passive voice of you are waiting for a friend Hampton Corporation has a beta of 1.3 and a marginal tax rate of 34%. The expected return on the market is 11% and the risk-free interest rate is 4%. Estimate the firms cost of internal equity. When the equation below is balanced with the lowest possible whole number coefficients, what is the sum of the coefficients? Ca(s) + HCl(g) CaCl2(s) + H2(g) Help me please I cant figure it out Find how many quarts of 6% butterfat milk and 1% butterfat milk should be mixed to yield 75 quarts of 3% butterfat milk.The mixture should contain quarts of the 6% Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.(8,6); perpendicular to 2x - y = 4(a) Write the equation of the line in slope-intercept form. Find a formula for an for the arithmetic sequence. Help, I need an answer ASAP What were the defects in Rutherfords atomic model and how were these removed by Bohr? On January 1, 20X9, Gulliver Corporation acquired 80 percent of Sea-Gull Company's common stock for $160,000 cash. The fair value of the noncontrolling interest at that date was determined to be $40,000. Data from the balance sheets of the two companies included the following amounts as of the date of acquisition:Gulliver Corp. Sea-Gull Corp.Cash $ 60,000 $ 20,000Accounts Receivable 80,000 30,000Inventory 90,000 40,000Land 100,000 40,000Buildings and Equipment 200,000 150,000Less: Accumulated Depreciation (80,000) (50,000)Investment in Sea-Gull Corp. 160,000Total Assets $ 610,000 $ 230,000Accounts Payable $ 110,000 $ 30,000Bonds Payable 95,000 40,000Common Stock 200,000 40,000Retained Earnings 205,000 120,000Total Liabilities and Equity $ 610,000 $ 230,000At the date of the business combination, the book values of Sea-Gull's net assets and liabilities approximated fair value except for inventory, which had a fair value of $45,000, and land, which had a fair value of $60,000.1. Based on the preceding information, what amount of total inventory will be reported in the consolidated balance sheet prepared immediately after the business combination?A. $130,000B. $135,000C. $90,000D. $45,0002. Based on the preceding information, what amount of goodwill will be reported in the consolidated balance sheet prepared immediately after the business combination?A. $0B. $40,000C. $20,000D. $15,0003. Based on the preceding information, what amount of total assets will be reported in the consolidated balance sheet prepared immediately after the business combination?A. $720,000B. $840,000C. $825,000D. $865,0004. Based on the preceding information, what amount of total liabilities will be reported in the consolidated balance sheet prepared immediately after the business combination?A. $395,000B. $280,000C. $275,000D. $195,0005. Based on the preceding information, what amount will be reported as noncontrolling interest in the consolidated balance sheet prepared immediately after the business combination?A. $0B. $15,000C. $40,000D. $46,0006. Based on the preceding information, what amount of consolidated retained earnings will be reported immediately after the business combination?A. $205,000B. $120,000C. $325,000D. $310,0007. Based on the preceding information, what amount will be reported as total stockholders' equity in the consolidated balance sheet prepared immediately after the business combination?A. $445,000B. $205,000C. $565,000D. $550,000 5Select the correct answer.Which sentence best describes the theme of a story?.The message that the author wants to convey..The idea stated in the opening lines of the story.,The idea stated at the end of the storyOD.The author's view of the characters in the story.ResetNext posts does Tom need and what are thedimensions of the fence?I postdyards Therefore, Dimensions areA bag of marbles can be shared equally among 3,or 6 students with none left over. What's the leastamount of marbles that can be in the bag?If there are 150 people born in the world everyminute; how many are bom every Hour? Day?Year?