Solve for x (x+4)/3 = 2.

a. x = -2

b. x=2

c. x = 2/3

d. x= -10/3​

Answers

Answer 1

Answer:

The answer is option B

Step-by-step explanation:

[tex] \frac{x + 4}{3} = 2[/tex]

To solve it first of all cross multiply

That's

x + 4 = 6

Move 4 to the right side of the equation

The sign changes to negative

That's

x = 6 - 4

We have the final answer as

x = 2

Hope this helps you


Related Questions

Which set of values could be the side lengths of a 30-60-90 triangle?
O A. {6,613, 12)
O B. {6, 12, 12.3}
O C. {6,6.12, 12}
O D. {6, 12, 12/3)​

Answers

Answer:

I think :

c is 30 triangle

b is 60 triangle

d is 90 triangle

If a recipe which makes 8 servings calls for 2 cups of sugar, how many cups of sugar will it take to make 18 servings?

Answers

Answer:

4.5

Step-by-step explanation:

2/8=x/18

Answer:

4.5 cups

Step-by-step explanation:

first you set up the problem like servings/cups. This would look like 8/2. Then you add the 18 servings and make it a cross multiplication problem. The expression would look like 8/2=18/x. You cross multiply and get 8x=36. Divide by 8 and get x=4.5 cups.

Luis’s cedar chest measures 4 feet long, 2 feet wide, and 2 ¼ feet high. What is the volume of the chest?

Answers

Answer:

[tex]4 {ft}^{3} [/tex]

Step-by-step explanation:

[tex]2 \times \frac{1}{4} = 0.5 \\ v = lbh \\ 4 \times 2 \times 0.5 \\ = 8 \times 0.5 \\ = 4 {ft}^{3} [/tex]

The volume of Luis’s cedar chest is 18 cubic feet.

The dimensions of Luis’s cedar chest are length=4 feet, width=2 feet and height=2 1/4 feet.

What is the formula to find the volume of the cuboid?

The volume of the cuboid is the measure of the space occupied within a cuboid. The cuboid is a three-dimensional shape that has length, breadth, and height. If we have a rectangular sheet and we go on stacking such sheets, we will end up getting a shape that has some length, breadth, and height.

The formula to find the volume of the cuboid is l×b×h.

Where, l=length, b=breadth or width and h=height.

Now, volume=4×2×2.25=18 cubic feet.

Therefore, the volume of Luis’s cedar chest is 18 cubic feet.

To learn more about the volume of the cuboid visit:

https://brainly.com/question/23118276.

#SPJ2

A city council consists of seven Democrats and six Republicans. If a committee of five people is​ selected, find the probability of selecting two Democrats and three Republicans.

Answers

Answer:

solution,

let d and r denote democrats and republicans respectively.

given,

no. of total sample space n(s) =7+6=13

no. of total democrats n(d)=7

no. of total republicans n(r)=6

no. of democrats events n(D1)=2

no. of republicans events n(R1)=3

it is a mutually exclusive event. so the probability of selecting two democrats and three republicans= {n(D1)/n(s)} * {n(r1)/n(s)}

=(2/13)*(3/13)

=6/169

Answer:

6/169

Step-by-step explanation:

Find the side of a square whose diagonal is of the given measure.
Given = 15.2 cm

Answers

Answer:

15cm

Step-by-step explanation:

First, a square's diagonal is basically the hypotenuse of a 45-45-90 triangle. a 45-45-90 triangle has a really special relationship, where the side length is x, and the diagonal is x [tex]\sqrt{2}[/tex]. So, the side length is 15.

Answer:

15cm

Step-by-step explanation:

Each corner of the square would be a 90° angle so half of that would be 45°.

[tex] \sin(45) \times 15 \sqrt{2} = 15cm[/tex]

Preeti and Shikha have bookshelves of the same size. Preeti’s shelf is 56 full of books and Shikha’s shelf is 35 full. Whose bookshelf is more full and by how much?

Answers

Answer:

Step-by-step explanation:

No of books in Preeti's shelf = 56

No of books in Shikha's shelf = 35

56 > 35

∴ Preeti's shelf is more full by 21 books

as 56 - 35 = 21

Hope this helps

plz mark as brainliest!!!

The numbers of words defined on randomly selected pages from a dictionary are shown below. Find the mean, median, mode of the listed numbers. 72 58 62 38 44 66 42 49 76 52 What is the mean? Select the correct choice below and ,if necessary ,fill in the answer box within your choice.(around to one decimal place as needed)

Answers

Answer:

72 58 62 38 44 66 42 49 76 52 ( arrange it!)

38 42 44 49 52 58 62 66 72 76 (done!)

Median: Find the number in the middle after we arranged, so the answer is (52+58)/2= 110/2 = 55

Mode : None (there is no number appear more than other number)

Mean = (38+42+44+49+52+58+62+66+72+76)/10

=559/100

=5,5

Hope it helps ^°^

The average salary of all assembly-line employees at a certain car manufacturer is $42,000 is it a sample or population

Answers

Answer:

Population parameters

Step-by-step explanation:

Population parameters usually find from the average values, ​​in a simple way we can say that finding the average value comes in the Population Parameters.

In the given question, car manufacturing companies provide sample of average.

So, given scenario is a type of "Population parameters".

A racecar is traveling at a constant speed of 150 miles per hour. How many feet does it travel in 5 seconds? Remember that 1 mile is 5280 feet.

Answers

Answer:

distance covered in 5 seconds

= 1.4283 *10^10 feet

Step-by-step explanation:

A racecar is traveling at a constant speed of 150 miles per hour.

One mile = 5280 feet

150 miles= 5290*150

150 miles= 793500 feet

A racecar is traveling at a constant speed of 793500 feet per hour.

Converting 793500 feet per hour to feet per seconds .

793500 feet per hour

= 793500*60*60 feet per seconds

=2856600000 feet per second

In 5 seconds , distance covered

= 2856600000 *5

distance covered in 5 seconds

= 1.4283 *10^10 feet

bananas cost $4 and apples close 0.60$ each if b represents the number of bunches of bananas and a represents the number of apple which of the following expressions represents the total cost? 1 4.60(b+a) 2 4b + 0.60 3 4.60 + a 4 4.60ab

Answers

Answer:

[tex]\huge\boxed{\$ (4 b + 0.60 a)}[/tex]

Step-by-step explanation:

Bananas represented by b

1 banana costs $4 so b bananas will cost $ 4 b

Apples represented  by a

1 apples costs 0.60 $ so a apples will cost $ 0.60 a

Totally, they will cost:

=> $ (4 b + 0.60 a)

Answer:

hiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

You have 9kg of oats and cup scales that gears of 50g and 200g. How − in three weighings− can you measure 2kg of the oats?

Answers

Answer: You will need 8 cup scales

Step-by-step explanation:

kg=1000 grams

2000/250=8

Answer:

8

Step-by-step explanation:

2000/250=8

The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 6.5 minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 6.0 minutes.

Answers

Answer: P(X<6) = 0.3085 or 30.85%

Step-by-step explanation: Determine, first, z-score:

[tex]z = \frac{x-\mu}{\sigma}[/tex]

x is a random variable for time a student takes to find a spot, in this case, x=6:

[tex]z = \frac{6-6.5}{1}[/tex]

z = -0.5

Using z-score table, find z-score:

P(X<6) = P(z< -0.5)

P(X<6) = 0.3085

Probability of finding a parking spot in less than 6 minutes is approximately 30.85%.

To find ∫ (x − y) dx + (x + y) dy directly, we must parameterize C. Since C is a circle with radius 2 centered at the origin, then a parameterization is the following. (Use t as the independent variable.)

x = 2 cos(t)
y = 2 sin(t)
0 ≤ t ≤ 2π

With this parameterization, find the followings

dy=_____
dx=_____

Answers

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]x=x(t)=2cos(t)\\\\dx=\dfrac{dx}{dt}dt=x'(t)dt=-2sin(t)dt[/tex]

and

[tex]y=y(t)=2sin(t)\\\\dy=\dfrac{dy}{dt}dt=y'(t)dt=2cos(t)dt[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The values of dx and dy are give as -2sin(t)dt and 2cos(t)dt respectively. The answer to the given problem can be stated as,

dy = 2cos(t)dt

And,  dx = -2sin(t)dt.

What is the integration of a function?

The integration can be defined as the inverse operation of differentiation. If a function is the integration of some function f(x) , then differentiation of that function is f(x).

The given integral over C is ∫ (x − y) dx + (x + y) dy.

And, the parameters for C are as follows,

x = 2cos(t)

y = 2sin(t)

0 ≤ t ≤ 2π

Now, on the basis of these parameters dx and dy can be found as follows,

x =  2cos(t)

Differentiate both sides with respect to t as follows,

dx/dt = 2d(cos(t))/dt

=> dx/dt = -2sin(t)

=> dx =  -2sin(t)dt

And, y = 2sin(t)

Differentiate both sides with respect to t as follows,

dy/dt = 2d(sin(t))/dt

=> dy/dt = 2cos(t)

=> dy = 2cos(t)dt

Hence, the value of dx and dy as per the given parameters is -2sin(t)dt and 2cos(t)dt respectively.

To know more about integration click on,

https://brainly.com/question/18125359

#SPJ2

Based on experience, the Ball Corporation’s aluminum can manufacturing facility in Ft. Atkinson, Wisconsin, knows that the metal thickness of incoming shipments has a mean of 0.2771 mm with a standard deviation of 0.000855 mm.


(a) A certain shipment has a diameter of 0.2742. Find the standardized z-score for this shipment. (Round your answer to 3 decimal places.)


z



(b) Is this an outlier?


Yes

No

Answers

Answer:

(a) The standardized z-score for this shipment is -3.392.

(b) Yes, this an outlier.

Step-by-step explanation:

We are given that the Ball Corporation’s aluminum can manufacturing facility in Ft. Atkinson, Wisconsin, knows that the metal thickness of incoming shipments has a mean of 0.2771 mm with a standard deviation of 0.000855 mm.

Let X = the metal thickness of incoming shipments.

The z-score probability distribution for the normal distribution is given by;

                              Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = mean thickness = 0.2771 mm

           [tex]\sigma[/tex] = standard deviation = 0.000855 mm

(a) Now, it is given that a certain shipment has a diameter of 0.2742 mm and we have to find the standardized z-score for this shipment.

So, z-score  =  [tex]\frac{X-\mu}{\sigma}[/tex]

                   =  [tex]\frac{0.2742-0.2771}{0.000855}[/tex]  = -3.392

Hence, the standardized z-score for this shipment is -3.392.

(b) Yes, we can consider this as an outlier because the standardized z-score is very large and this value is far from the population mean.

Closing prices of two stocks are recorded for 50 trading days. The sample standard deviation of stock X is 4.665 and the sample standard deviation of stock Y is 8.427. The sample covariance is $35.826.
Calculate the sample correlation coefficient. (Round your answer to 4 decimal places.)

Answers

Answer:

The sample correlation coefficient r = 0.9113

Step-by-step explanation:

In this question, we are interested in calculating the sample correlation coefficient.

From the question, we are given;

We are given that,

The sample standard deviation of stock X = 4.665

The sample standard deviation of stock Y = 8.427

The sample covariance = 35.826

Mathematically, the Pearson correlation coefficient "r", it is given as;

r = (co-variance of X and Y)/(standard deviation of X * Standard deviation of Y)

Inputing these values, we have;

r = (35.826)/(4.665 * 8.427) = 0.9113

make a box-and-whisker plot for the data. numbers of colors in a country's flag :3,2,2,4,4,3,6,3,5,3,4,1

Answers

Answer:  see attachment

Step-by-step explanation:

Put the numbers in order from smallest to biggest:

1, 2, 2, 3, 3, 3,         3, 4, 4, 4, 5, 6

        ↓              ∨                ↓

       Q1        Median          Q3

Q1 median = (2+3)/2 = 2.5  <---- left side of box plot

Median = (3+3)/2 = 3          <---- Vertical Line of box plot

Q3 median = (4+4)/2 = 4    <---- right side of box plot

295 feet = _____ meters ?

Answers

Answer:

Hello! I hope I am correct!

Step-by-step explanation:

295 feet will equal to 89.916 meters.

Steps in order to solve this problem:

First you have to multiply the length in feet by 0.3048.

295x 0.3048 or 295* 0.3048

(295 feet is equivalent to 89.916 meters!)

Will equal 89.916 meters.

Therefore, 295 feet = 89.916 meter

Hope this helps!

Brainliest would be appreciated!

By:BrainlyAnime

(Picture attached)

Write the expression as a single term, factored completely. Do not rationalize the denominator. 54x2+1−−−−−−√+20x4x2+1√ Select one: a. 5(4x2+4x+1)4x2+1√ b. 20x2+20x+1)5x+1 c. 20x2+20x+1)4x2+1√ d. 5(4x2+4x+1)5x+1

Answers

When we write expression 5√(4x² + 1) + 20x / √(4x² + 1) as singled term factorised completely, we have 5(4x² + 4x + 1) / √(4x² + 1) (Option A)

Data obtained from the question5√(4x² + 1) + 20x / √(4x² + 1)Factorised =?

How to factorised 5√(4x² + 1) + 20x / √(4x² + 1)

5√(4x² + 1) / 1 + 20x / √(4x² + 1)

Least common multiple (LCM) is √(4x² + 1)

[(5√(4x² + 1) × √(4x² + 1) + 20x] / √(4x² + 1)

[5(4x² + 1) + 20x] / √(4x² + 1)

[20x² + 5 + 20x] / √(4x² + 1)

[20x² + 20x + 5] / √(4x² + 1)

5(4x² + 4x + 1) / √(4x² + 1)

Learn more about factorisation:

https://brainly.com/question/22248251

#SPJ1

Complete question

See attached photo

Select the correct answer -1/4(12x+8) is less than it equal to -2x+11

Answers

Answer:

x ≤ [tex]\frac{9}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{4}[/tex](12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side

3x + 2 ≤ - 2x + 11 ( add 2x to both sides )

5x + 2 ≤ 11 ( subtract 2 from both sides )

5x ≤ 9 ( divide both sides by 5 )

x ≤ [tex]\frac{9}{5}[/tex]

Answer: x≤ 3/-10

Explanation: Firstly given that

-¼(12x+8) ≤ -2x+11

• Divide by 4

4X-¼(12x+8) ≤-2x+11

= -12x + 8 ≤ -2x + 11

• Group like terms

-12x + 2x ≤ 11 - 8

= -10x/10 ≤ 3/-10

x≤ 3/-10

Which of the following equations have infinitely many solutions?
Choose all answers that apply:

A10x- 10 = -10x + 10
B- 10x - 10 = -10x + 10
C-10x – 10 = -10x - 10
D10x - 10 = -10x – 10

Answers

Hey there! I'm happy to help!

An equation with infinite solutions has a solution of x=x. You can plug in any x-value and it will equal x, so there are infinitely many solutions.

ANSWER A

10x-10=-10x+10

We add 10 to both sides.

10x=-10x+20

We add 10x to both sides.

20x=20

We divide both sides by 20.

x=1

We have a solution of 1, so this is not an equation with infinitely many solutions.

Answer B

-10x-10=-10x+10

We add 10 to both sides.

-10x=-10x+20

We add 10 x to both sides.

0=20

This has no solutions because the x is gone, so there cannot be a solution.

Answer C

-10x-10=-10x-10

We add 10 to both sides.

-10x=-10x

We divide both sides by -10.

x=x

This has infinitely many solutions.

Answer D

10x-10= -10x-10

We add 10x to both sides.

20x-10=-10

We add 20 to both sides.

20x=0

We divide both sides by 20.

x=0

There is a single solution here, not infinitely many.

Therefore, the answer is C. -10x-10=-10x-10.

Have a wonderful day! :D

What is 28% of 58?

Hhhhhhh

Answers

Answer:

16.24

Step-by-step explanation:

of means multiply

28% * 58

Change to decimal form

.28 * 58

16.24

Answer:

[tex]\Large \boxed{\mathrm{16.24}}[/tex]

Step-by-step explanation:

[tex]28\% \times 58[/tex]

[tex]\displaystyle \sf Apply \ percentage \ rule : a\%=\frac{a}{100}[/tex]

[tex]\displaystyle \frac{28}{100} \times 58[/tex]

[tex]\sf Multiply.[/tex]

[tex]\displaystyle \frac{1624}{100} =16.24[/tex]

Write the equation of the line that passes through (−2, 6) and (2, 14) in slope-intercept form. (2 points)

Answers

Answer:

[tex]y = 4x + 14[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation we must first find the slope of the line

Slope of the line using points (−2, 6) and (2, 14) is

[tex]m = \frac{14 - 6}{2 + 2} = \frac{8}{2} = 4[/tex]

Now we use the slope and any of the points to find the equation of the line.

Equation of the line using point ( - 2, 6) and slope 4 is

[tex]y - 6 = 4(x + 2) \\ y - 6 = 4x + 8 \\ y = 4x + 8 + 6[/tex]

We have the final answer as

[tex]y = 4x + 14[/tex]

Hope this helps you

Find the missing side of the triangle. A. 321−−−√ yd B. 221−−−√ yd C. 338−−√ yd D. 21−−√ yd

Answers

Answer:

[tex] x = \sqrt{221} yd [/tex]

Step-by-step explanation:

Use Pythagorean theorem to find x.

Thus, the sum of the square of the lengths of two legs of a right triangle equal the square of the hypotenuse, which is the longest side.

Thus,

[tex] x^2 = 11^2 + 10^2 [/tex]

[tex] x^2 = 121 + 100 [/tex]

[tex] x^2 = 221 [/tex]

[tex] x = \sqrt{221} yd [/tex]

Answer:

v/221 yd

Step-by-step explanation:

11y 10yd x ?

x=v/221 yd

yippie

-50 POINTS- (5/5) Which scatter plot represents the following data?

Answers

Answer:

B is plotted correctly

Step-by-step explanation:

A point (1,2) is plotted at (1,3)

B is plotted correctly

C point (1,2) is plotted at (1,3)

D point (1,2) is plotted at (1,3)

Answer:

B.

Step-by-step explanation:

According to the table, there is a point at (0, 5), and a point at (1, 2).

A: The scatterplot has a point at (0, 5), but a point at (1, 3).

B: The scatterplot has points at (0, 5) and (1, 2).

C: The scatterplot has a point at (0, 5), but a point at (1, 3).

D: The scatterplot has a point at (0, 5), but a point at (1, 3).

Hope this helps!

Find the area of the shape shown below.
2
2
4
Hurry and answer plz!!!!
1

Answers

Answer:

7 square units

Step-by-step explanation:

We can break down this complex shape into smaller shapes.

I've broken it down into a rectangle, a square, and a triangle (See attached picture)

Let's first find the area of the triangle. To do this we use the formula [tex]\frac{bh}{2}[/tex]. The base is 1 (because the top is 2, and 1 is already used on the triangle - 2-1 = 1.) and the height is 2 (because 4 is already used on the left, and 2 was used on the right so 4-2=2).

[tex]\frac{2\cdot1}{2} = \frac{2}{2} = 1[/tex].

Now let's find the area of the top square - we can just square 2 which is 4.

To find the area of the bottom rectangle, we can multiply it's two side lengths of 2 and 1 = 2.

Adding these all together gets us 4+2+1 = 7.

Hope this helped!

out of the 444 Fridays Rebecca has been driven to school, only 12/37 of the time did she ever choose to sit in the back seat. How many times did she sit in the front seat?

Answers

Answer:

300

Step-by-step explanation:

We need to find 12/37 of 444.

12/37 * 444 = 12/37 * 444/1 = (12 * 444)/(37 * 1) = 5328/37 = 144

She sat in the back seat 144 times out of 444.

444 - 144 = 300

She sat in the front seat 300 times.

Do men and women run a 5 kilometer race at the same pace? Here are boxplots of the time (in minutes) for a race recently run in Chicago. Write a brief report discussing what these data show.

Answers

Answer:

yes

Step-by-step explanation:

Find the sum of the first 10 terms of the following geometric sequences: 3,6,12,24,48

Answers

Answer:

3,069

Step-by-step explanation:

The sequence is doubling, so terms 1 through 10 are:

3, 6, 12, 24, 48, 96, 192, 384, 768, 1,536

3 + 6 + 12 + 24 + 48 + 96 + 192 + 384 + 768 + 1,536 = 3,069

What are the roots of the quadratic equation below?
x2 + 2x= -5

Answers

Answer:

No real root.

Complex roots:

[tex] x = -1 \pm 2i [/tex]

Step-by-step explanation:

[tex] x^2 + 2x = -5 [/tex]

[tex] x^2 + 2x + 5 = 0 [/tex]

There are no two integers whose product is 5 and whose sum is 2, so this trinomial is not factorable. We can use the quadratic formula.

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-2 \pm \sqrt{2^2 - 4(1)(5)}}{2(1)} [/tex]

[tex] x = \dfrac{-2 \pm \sqrt{4 - 20}}{2} [/tex]

[tex] x = \dfrac{-2 \pm \sqrt{-16}}{2} [/tex]

Since we have a square root of a negative number, there are no real roots. If you have learned complex numbers, then we can continue.

[tex] x = \dfrac{-2 \pm 4i}{2} [/tex]

[tex] x = -1 \pm 2i [/tex]

Answer: -1 +/- 2i (read -1 plus or minus 2i).

Using the quadratic formula given that a=1, b=2, c=5, the roots are:
(-2 +/- sqrt(4-4(1)(5)))/(2*1)= (-2 +/- sqrt(-16))/2= (-2 +/- 4i)/2.

Michael records the height of 1000 people. This data is a normal distribution and the sample mean was 0.75. Identify the margin of error for this data set.

Answers

Answer:

0.0284

Step-by-step explanation:

The formula for calculating the Margin of error of a dataset is expressed as;

Margin of error = [tex]Z*\sqrt{\frac{p(1-p)}{n} } \\\\[/tex] where;

Z is the z-score of 95% confidence interval = 1.96

p is the sample proportion/mean = 0.75

n is the sample size = total number of people = 1000

Note that when the confidence interval is not given, it is always safe to use 95% confidence.

Substituting this values into the formula we have;

[tex]ME = 1.96*\sqrt{\frac{0.7(1-0.7)}{1000} } \\\\ME = 1.96*\sqrt{\frac{0.7(0.3)}{1000} } \\\\ME = 1.96*\sqrt{0.00021} } \\\\ME = 1.96*0.01449\\\\ME = 0.0284[/tex]

Hence the margin error for the dataset is 0.0284

Other Questions
Which of the binomials below is a factor of this trinomial?X^2 + 5x + 6 An essay will show you a special understanding about how a culture feels about a specific concept,idea, or topic.True or false? Find the common ratio for the following sequence. Type a numerical answer in the space provided. If necessary, use the/ key to represent a fraction bar. Do not type spaces in your answer.2,-2, 2, -2, ... There are two ways to calculate the expected return of a portfolio: Either calculate the expected return using the value and dividend stream of the portfolio as a whole, or calculate the weighted average of the expected returns of the individual stocks that make up the portfolio. Which return is higher? (Select the best choice below.) A. The weighted average expected return of the individual stocks is higher because returns are concave. B. Impossible to tell, it depends on the portfolio. C. Neitherboth calculations give the same answer. D. The weighted average expected return of the individual stocks is higher because returns are convex. It is January 2nd and senior management of Digby meets to determine their investment plan for the year. They decide to fully fund a plant and equipment purchase by issuing $10,000,000 in bonds. Assume the bonds are issued at face value and leverage changes to 2.7. Which of the following statements are true? Select all that apply.a. Working capital will remain the same at $18,964,118b.Total Assets will rise to $235,535,291c. Chesters' long-term debt will rise by $9,000,000d.The total investment for Chester will be $217,192,866e.Total liabilities will be $139,957,573 g A ________ intensifies mid-latitude cyclones by creating a region of divergence above the surface low pressure center. Group of answer choices jet streak barotropic system longwave triple point Quantitative Problem 2: Carlysle Corporation has perpetual preferred stock outstanding that pays a constant annual dividend of $1.90 at the end of each year. If investors require an 7% return on the preferred stock, what is the price of the firm's perpetual preferred stock? Do not round intermediate calculations. Round your answer to the nearest cent. $ per share Write an expression that represents an increase of 5% over theoriginal cost of $d as both a sum and product of d. A square has a perimeter of 24cm. Work out its area. 4(c+3) =4+c+c+c+c+17 What is the product of complex conjugates? (1 point)the product of complex conjugates is a difference of two squares and is always a real numberthe product of complex conjugates may be written in standard form as a+bi where neither a nor b is zerothe product of complex conjugates is the same as the product of oppositesthe product of complex conjugates is a sum of two squares and is always a real number The return on common stockholders equity is computed by dividing a) net income less preferred dividends by ending common stockholders equity. b) net income less preferred dividends by average common stockholders equity. c) net income by ending common stockholders equity. d) net income by average common stockholders equity. Researchers were interested in whether relaxation training works better than fitness training in decreasing the number of headaches a person experiences. They randomly assigned 20 participants either to the fitness training group or a relaxation training group and then recorded the change in number of headaches for each group from pre-training to post-training. The independent variable in this study is ___. You check 20 batteries.Fourteen of the batteries do not have a charge. What is the experimental probability that the next battery you check does not have a charge? ______is understanding yourself, your goals, your strengths and weaknesses, your biases, and your self-management skills.A. Intercultural communication.B. Intracultural communication.C. Interpersonal communication.D. Intrapersonal communication. Transaction are posted into ledger account from a) voucher b) journal book c) bank statement d) none of these The standard deviation of a portfolio: Multiple Choice is a measure of that portfolio's systematic risk. is a weighted average of the standard deviations of the individual securities held in that portfolio. measures the amount of diversifiable risk inherent in the portfolio. serves as the basis for computing the appropriate risk premium for that portfolio. can be less than the weighted average of the standard deviations of the individual securities held in that portfolio. What are some functions of calcium? . Two waves that have the same wavelengths and amplitudes are traveling in opposite directions on a string. If each wave has a speed of 10 m/s and there are moments when the string is not moving, what is the wavelength of the waves if the time between each moment that the string is flat is 0.5 s? please help me for the homework