What does a linear model look like? Explain what all of the pieces are? 2) What does an exponential model look like? Explain what all of the pieces are? 3) What is the defining characteristic of a linear model? 4) What is the defining characteristic of an exponential model?

Answers

Answer 1

A linear model is that it represents a constant Rate of change between the two variables.

1) A linear model is a mathematical representation of a relationship between two variables that forms a straight line when graphed. The equation of a linear model is typically of the form y = mx + b, where y represents the dependent variable, x represents the independent variable, m represents the slope of the line, and b represents the y-intercept. The slope (m) determines the steepness of the line, and the y-intercept (b) represents the point where the line intersects the y-axis.

2) An exponential model is a mathematical representation of a relationship between two variables where one variable grows or decays exponentially with respect to the other. The equation of an exponential model is typically of the form y = a * b^x, where y represents the dependent variable, x represents the independent variable, a represents the initial value or starting point, and b represents the growth or decay factor. The growth or decay factor (b) determines the rate at which the variable changes, and the initial value (a) represents the value of the dependent variable when the independent variable is zero.

3) The defining characteristic of a linear model is that it represents a constant rate of change between the two variables. In other words, as the independent variable increases or decreases by a certain amount, the dependent variable changes by a consistent amount determined by the slope. This results in a straight line when the data points are plotted on a graph.

4) The defining characteristic of an exponential model is that it represents a constant multiplicative rate of change between the two variables. As the independent variable increases or decreases by a certain amount, the dependent variable changes by a consistent multiple determined by the growth or decay factor. This leads to a curve that either grows exponentially or decays exponentially, depending on the value of the growth or decay factor.

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Related Questions

Which of the following could be the equation of a parallel to the line y=4?
•y=0
•y=4
•undefined
•y=4x

Answers

Answer:

y = 0 is parallel to y= 4 ..plz mark my answer as brainlist plzzzz if correct

y= 0 is parallel to y=4

I think it will help you.

write 2x+5/x + 3/x+3 as a single fraction to it's simplest form​

Answers

oky oky oky oky oky oky

sana makatulonh

write 2x+5/x + 3/x+3 as a single fraction to it's simplest form
write 2x+5/x + 3/x+3 as a single fraction to it's simplest form

D Calculate the value of the error with one decimal place for: Z= # where x = 5.9 +/-0.5 and y = 2.1 +/- 0.2 Please enter the answer without +/- sign. 4 Question 2 Calculate the value of the error wit

Answers

The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

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Mrs.Lopez has two kinds of flowers in her garden. The ratio of lilies to daisies in the garden is 5:3. If there are 10 lilies, what is the total number of flowers in her garden?

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

6) Find the measure of ZBEC
A) 10°
B) 60
C) 80°
D) 100

6) Find the measure of ZBECA) 10B) 60C) 80D) 100

Answers

1. analyze data presented

It is not d because it is not greater than 80 degrees

it is not a because it is clearly not 10 degrees

making system of equations

8x+(4x+60)=180

addition

12x+60=180

move sixty to the other side

12x=120

division

x=10

Angle BEC=*x, so 8x=80

Answer: 80 degrees

Which linear function has the steepest slope?​

Which linear function has the steepest slope?

Answers

Answer:

the graph... it's slope is |2| and the chart is |1|

the absolute values are there because the questions only says "how steep"

not the direction

Step-by-step explanation:

The area of a rhombus whose diagonals are 9cm and 7cm is
CAN ANYONE ANSWER THIS ??​

Answers

Answer:

63/2

Step-by-step explanation:

area D1*D2/2= 9*7/2= 63/2

if my answer helps please mark as brainliest.

the regular price of base ball cleats is 80 dollars if the cleats are on sale for 45% off, then what is the value of the discount in dollars?

Answers

Answer:

$36

Step-by-step explanation:

If the cleats were on sale for 45% off, that means they were 55% "on." Therefore, you have to multiply 80 by 0.55* to get how much they cost.

80 x 0.55 is 44.

To get the value of the discount, you subtract 44 from 80, which is 36.

The cleats sold for $44, and there was a $36 discount.

*you multiply by 0.55 because it is 55 percent. Percent means "per every hundred." That's why you have to divide 55 by 100 to get 0.55.

An alternate way to solve this is to multiply 80 by 55 and then divide the result by 100, but you'll still get 44.

true or false: the line that intersect the curve at (8, p(8)) represents the secant line to the curve at (8, p(8))

Answers

The line that intersects the curve at (8, p(8)) represents the secant line to the curve at that point. The statement is true.

A straight line that crosses a curve at two or more points is known as a secant line. The given point (8, p(8)) in this instance is on the curve and the line. As a result, the secant line to the curve at that point is the line that intersects the curve at (8, p(8)).

Let's think of an example to help further clarify this idea. Let's say we wish to locate the secant line to a curve at the point (8, p(8)) where the equation \(y = x^2\) defines the curve.

We must first determine the secant line's slope. The following formula determines the slope of a line via the points (x1, y1) and (x2, y2):

slope= (y2 - y1) / (x2 - x1).

The two points in this case are the curve's second point and (8, p(8)). We can select a different point on the curve, such as (4, p(4)), to get the slope.

slope = (p(4)-p(8)) / (4 - 8)

Next, we evaluate the function at these points:
\(p(4) = 4^2 = 16\\p(8) = 8^2 = 64\)

Substituting these values into the slope formula:
slope = (16 - 64) / (4 - 8)
     = -48 / -4
     = 12

Now that we have the slope, we can write the equation of the secant line using the point-slope form:
y - y1 = m(x - x1)

Substituting the values (8, p(8)) and slope = 12 into the equation:
y - p(8) = 12(x - 8)

Simplifying the equation:
y - p(8) = 12x - 96

This is the equation of the secant line to the curve at the point (8, p(8)).

In conclusion, the statement is true. The line that intersects the curve at (8, p(8)) represents the secant line to the curve at that point.

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the scale factor of two similar triangles prisms is 3:5. the volume of the larger prism is 175in^3. what is the volume of the smaller prism

Answers

The volume of the smaller prism is 37.8 in³. The result is obtained by using the ratio of corresponding volumes of two similar prisms.

How to find the volume of smaller prism with the scale factor?

When two similar prisms or pyramids have a scale factor of L, the ratio of corresponding areas is L² and the ratio of corresponding volumes is L³.

The scale factor of two similar triangles prisms is 3 : 5. The volume of the larger prism is 175 in³. Find the volume of the smaller prism!

We have L = 3 : 5.

The ratio of corresponding volumes is

= L³

= (3/5)³

= 27/125

The smaller prism is

= (27/125) × 175 in³

= (27/5) × 7 in³

= 37.8 in³

Hence, the volume of the smaller triangles prisms is 37.8 in³.

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How do I find the indicated value for this problem?

How do I find the indicated value for this problem?

Answers

Answer:

t_n =a +(n-1)d

t_100 = 2+ (100-1)6

= 2+99× 6

= 2 +594

= 596

Help!!
What is the relationship between the corresponding angle bisectors BD and XZ?

Help!!What is the relationship between the corresponding angle bisectors BD and XZ?

Answers

Answer:

XZ = 2.5 BD

Step-by-step explanation:

Comparing the two triangles,

\(\frac{BD}{BC}\) = \(\frac{XZ}{XY}\)

\(\frac{6}{8}\) = \(\frac{XZ}{20}\)

⇒ XZ = \(\frac{20*6}{8}\)

         = 15

XZ = 15

So that,

BD:XZ = 6:15

           = 1:2.5

Therefore, the relationship between BD and XZ is XZ = 2.5 BD.

Logan owns a trucking company. For every truck that goes out, Logan must pay the
driver $16 per hour of driving and also has an expense of $1.25 per mile driven for
gas and maintenance. On one particular day, the driver drove an average of 20 miles
per hour and Logan's total expenses for the driver, gas and truck maintenance were
$205. Write a system of equations that could be used to determine the number of
hours the driver worked and the number of miles the truck drove. Define the
variables that you use to write the system.

Answers

Answer:

Let's define the variables:

h: the number of hours the driver worked.

d: the number of miles the truck drove.

We know that the driver is paid $16 per hour, so the cost of the driver's labor is:

16h

We also know that the truck incurs an expense of $1.25 per mile driven, so the cost of gas and maintenance is:

1.25d

The total expenses for the driver, gas, and maintenance were $205, so we can set up the following equation:

16h + 1.25d = 205

We also know that the average speed of the truck was 20 miles per hour, so we can set up the following equation:

d = 20h

So the system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove is:

16h + 1.25d = 205

d = 20h

These two equations can be solved simultaneously to find the values of h and d that satisfy both equations.

Simplify fully12xy24xy​

Answers

Answer:

288xy

Step-by-step explanation:

First, you multiply 12 by 24 and you get 288. Next, you can't forget the variables, so you add those to the end and get, 288xy.

Describe the shape of the distribution.

A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.

Describe the shape of the distribution. A. It is symmetric. B. It is uniform. C. It is bimodal.D. It

Answers

Right skewed, can also written as positive skew

Problem B: Raising a number in Scientific Notation to a Power
According to Guinness World Records, the largest Rubik's cube in the world is 2.022*10^2 centimeters on each
side. What is the volume of this cube? Write your answer in scientific notation. (v=s^3)

Answers

Answer: Roughly 8.267*10^6 cubic centimeters

The more accurate answer is 8.266914648*10^6 cubic centimeters

==================================================

Work Shown:

\(s = 2.022*10^2\\\\v = s^3\\\\v = (2.022*10^2)^3\\\\v = (2.022)^3*(10^2)^3\\\\v = 8.266914648*10^{2*3}\\\\v = 8.266914648*10^6\\\\v \approx 8.267*10^6\\\\\)

I rounded to three decimal places because the 2.022 is to three decimal places. Round however you need. Or you can choose to leave the number unrounded.

The number 8.267*10^6 is 8,267,000 which is a little over 8.2 million.

The units for the volume are in cubic centimeters, which we can abbreviate as cm^3 or \(\text{cm}^3\)

Note that the value \(8.267*10^6\) is in the form \(A*10^b\) where \(0 \le A < 10\), which means this number is in scientific notation form.

Point L is on line segment KM. Given LM = 3x + 3, KM = 5x + 4, and
KL = 5x + 1, determine the numerical length of KM.

Answers

Answer:

\(KM = 4\)

Step-by-step explanation:

Given

\(LM = 3x + 3\)

\(KM = 5x + 4\)

\(KL = 5x + 1\)

Required

Determine KM

The relationship between the given parameters is:

\(KM = KL + LM\)

Substitute the values of KM, KL and LM

\(5x + 4 = 5x + 1 + 3x + 3\)

Collect Like Terms

\(5x - 5x - 3x = 1 + 3 - 4\)

\(-3x = 0\)

Divide through by -3

\(x = 0\)

Substitute 0 for x in \(KM = 5x + 4\)

\(KM = 5 *0 + 4\)

\(KM = 0 + 4\)

\(KM = 4\)

Answer:

98

Step-by-step explanation:

Instructions: State what additional information is required in

order to know that the triangles in the image below are

congruent for the reason given. Reason: SSS Postulate

Answers

Additional information is required in order to know that the triangles in the image below are congruent is that VW ≅ UB.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

SSS stands for the Side-Side-Side criterion. According to this, two triangles are congruent if three sides of a triangle are equal to the corresponding sides of the other triangle.

The lines with two tickmarks are equal in length, indicating that the segments are congruent i.e. UV = WB

And WU is the common side

For triangles to be congruent VW should be equals to UB. So, that we could use SSS to show the congruence of the triangles.

Hence, additional information is required in order to know that the triangles in the image below are congruent is that VW ≅ UB.

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Given question is incomplete, the complete question is below

Instructions: State what additional information is required in order to know that the triangles in the image below are congruent for the reason given.

Reason: SSS Postulate

Instructions: State what additional information is required inorder to know that the triangles in the

Approximate the sum of the series correct to four decimal places. [infinity] (−1)n 5nn! n = 1

Answers

To approximate the sum of the series [infinity] (−1)n 5n/(n!), we can use the alternating series test. To approximate the sum, we can calculate the partial sums and stop when the terms become insignificant.


1. The alternating series test states that if a series (-1)n an is such that the absolute value of the terms decrease and tend to zero as n approaches infinity, then the series converges.
2. In this series, the terms (-1)n 5n/(n!) decrease as n increases because the factorial term in the denominator grows faster than the exponential term in the numerator.
3. Therefore, we can conclude that the series converges.

The sum of the series [infinity] (-1)n 5n/(n!) converges.
To approximate the sum, we can calculate the partial sums and stop when the terms become insignificant.

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Parametric statistics could be used to analyze which of the following dependent variables (select all correct answers).
Grams of iron in a meal
Students' zip codes
Minutes spent on this test
Type of favorite cookie
Snacks eaten in a week
Job titles

Answers

The correct answers are: Grams of iron in a meal, Minutes spent on this test, Snacks eaten in a week

Parametric statistics could be used to analyze the following dependent variables:

Grams of iron in a meal: Parametric statistics can be used to analyze continuous numerical variables, such as the amount of iron in a meal, by assuming a specific distribution (e.g., normal distribution) and using techniques like t-tests, ANOVA, or regression.

Minutes spent on this test: Similarly, parametric statistics can be applied to analyze continuous numerical variables like the time spent on a test. Techniques such as t-tests or regression can be used to compare groups or explore relationships between variables.

Snacks eaten in a week: Parametric statistics can also be used for analyzing count data, such as the number of snacks eaten in a week. Techniques like Poisson regression or negative binomial regression can be used to model and analyze count data.

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Use completing the square to transform this equation into vertex form. Please state the coordinate of the vertex. X^2-8x-19=0

Answers

Answer:

(4 , - 35)

Step-by-step explanation:

X²-8x-19 =(x-4)² -35

y = a (x-h)² + k    a=1   , (h , k) -> (4 , - 35)

How is adding 0.267 to 50.9 different from adding 0.26 to 50.9

Answers

Answer:

Step-by-step explanation:

They are different numbers:

0.269 + 50.9 = 51.169

0.26 + 50.9 = 51.16

helpppppppppppppppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

helpppppppppppppppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I think the answer is 77

Tim typed a 46-word paragraph in 3/4 of a minute. What is his typing speed per minute?

Answers

Given f(x)= 11x^3+4x^2-2x+3 G(x)= 3x^3+6x^2-10x+8 find: I) f(x)- 2G(x) ii) 2f(x)+3G(x) iii) 1/2f(x)+ G(x)​

Answers

A function is a mathematical relation between two sets of values that assigns a unique output to each given input.

What is a function?

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

I) f(x)- 2G(x) = 5x³-8x²+18x-13

II) 2f(x)+3G(x) = 31x³+26x²-34x+30

III) 1/2f(x)+ G(x)​ = 17/2x³+8x²-12x19/2

Here, we have

f(x)= 11x³+4x²-2x+3, G(x)= 3x³+6x²-10x+8

We have to find  I) f(x)- 2G(x), ii) 2f(x)+3G(x), iii) 1/2f(x)+ G(x)​

I) f(x)- 2G(x) = 11x³+4x²-2x+3 -2(3x³+6x²-10x+8 )

= 11x³+4x²-2x+3 - 6x³-12x²+20x-16

= 5x³-8x²+18x-13

Hence, the value of f(x)- 2G(x) is 5x³-8x²+18x-13.

II) 2f(x)+3G(x) = 2(11x³+4x²-2x+3)+3(3x³+6x²-10x+8 )

= 22x³+8x²-4x+6+9x³+18x²-30x+24

= 31x³+26x²-34x+30

Hence, the value of 2f(x)+3G(x) is 31x³+26x²-34x+30.

III)  1/2f(x)+ G(x)​ = 1/2(11x³+4x²-2x+3) + (3x³+6x²-10x+8)

= 11/2x³+2x²-2x+3/2+3x³+6x²-10x+8

= 17/2x³+8x²-12x19/2

Hence, the value of 1/2f(x)+ G(x)​ is 17/2x³+8x²-12x19/2.

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the graph of y=f(x) is shown below. what are all of the real solutions of f(x)=0

the graph of y=f(x) is shown below. what are all of the real solutions of f(x)=0

Answers

the solutions are x=-4 ; x=1 ; x=8

All real solutions of the function  y=f(x) are x = -4 and x = 4

What is a solution ?

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0. These solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

we are Given graph in the attachment represents the function y = f(x)

Since Real solutions of the function shows all the points where the curve of the graph either touches or crosses the x-axis.

Thus the graph of the function touches and crosses at x = -4 and x = 4

Therefore, all real solutions of the function  y=f(x) are x = -4 and x = 4

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Need assistance this is very hard. PLEASE HELP I will give brainliest
(Gave the wrong amount of points last time)

Need assistance this is very hard. PLEASE HELP I will give brainliest(Gave the wrong amount of points

Answers

Answer:

Part A:

2/3 in the box above the dark squares

2/8 in the box to the left of the dark squares

Part B:

Product is 1/6

Step-by-step explanation:Part A 1st box:

If you look at the rectangles below the top box. 2 of the 3 are shaded dark grey (so that box is 2/3).

Part A 2nd box:

If you look at the rectangle to the right of the box on the left you will see 2 of the 8 rectangles are shaded dark grey (so that box is 2/8).

Part B:

If you look at the entire rectangle, 2 of the 12 rectangles are shaded dark grey. 2/12 simplifies to 1/6 (so the product is 1/6).

I need help with this math question

I need help with this math question

Answers

Answer:

B. 5

Step-by-step explanation:

Step 1: Rewrite the equation a bit

\(\frac{7^\frac{3}{4}}{7^\frac{x}{8}}=\sqrt[8]{7}\\7^\frac{3}{4}^-^\frac{x}{8}=7^\frac{1}{8}\)

Step 2: Place a logarithm base 7 on both sides

\(7^\frac{3}{4}^-^\frac{x}{8}=7^\frac{1}{8}\\log_77^\frac{3}{4}^-^\frac{x}{8}=log_77^\frac{1}{8}\\(\frac{3}{4}-\frac{x}{8})log_77=\frac{1}{8}log_77\\(\frac{3}{4}-\frac{x}{8})1=\frac{1}{8}1\\\frac{3}{4}-\frac{x}{8}=\frac{1}{8}\)

Step 3: Solve for x

\(\frac{3}{4}-\frac{x}{8}=\frac{1}{8}\\\frac{6}{8}-\frac{x}{8}=\frac{1}{8}\\-\frac{x}{8}=-\frac{5}{8}\\\frac{x}{8}=\frac{5}{8}\\x=5\)

Neat exponent question :)

factor completely

8y²+6y+1​

Answers

(2y +1)(4y + 1) is the factored form

(4y + 1)(2y +1) this should be the answer: How to solve your problem
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Please answer this question now in two minutes

Please answer this question now in two minutes

Answers

Answer:

d is 5 units

Step-by-step explanation:

Other Questions
is a rotting log considered living or non living? why? the iso 27005 standard for information security risk management includes five stages including all but which of the following? question 8 options: a. risk assessment b. risk treatment c. risk communication d. risk determination Betsie is going to buy 250 envelopes.Here is some information about the cost of envelopes in two shops.Letters2goPack of 25 envelopes for 3.19Value WorldPack of 10 envelopes for 1.99Buy 2 packs get 1 pack freeBetsie wants to buy the envelopes for the best possible price.Which shop should Betsie buy the 250 envelopes from?You must show how you get your answer. Sally agrees to roof a house for Bob.After doing his research,Bob chooses Sally based on her great reputation for being conscientious and doing good work.Bob knows little about roofing and stays away from all the noise involved.Sally provides her own tools for herself and other workers,sets her own schedule,and charges a flat rate of $10,000 to be paid when the job is completed.Sally hires Trudy,Glen,and Fred to help with the roofing.She pays them an hourly rate,supervises their work,provides them with tools and materials,and sets their schedules.Curious about what is going on there,Bob's friend Spencer walks by the house while the roofing is being done.Glen absentmindedly throws some old shingles off the roof and hits Spencer in the head,resulting in him going to the local emergency room and receiving a couple of stitches in his scalp.Spencer decides to sue all the roofers,Bob,and Sally for his hospital expenses and for pain and suffering.Which of the following is the most likely characterization of Trudy,Glen,and Fred in relation to Sally?A) They are both employees and independent contractors.B) They are employees.C) They are independent contractors.D) They are undisclosed principals.E) They are both employees and disclosed principals. solve the inequality 5(a - 5) greater than 25 Which graph represents y = Two-thirdsx + 3?On a coordinate plane, a line goes through points (negative 2, 0) and (0, 3).On a coordinate plane, a line goes through points (0, negative 3) and (4, 0).On a coordinate plane, a line goes through points (negative 3, 1) and (0, 3).On a coordinate plane, a line goes through points (0, 3) and (3, 1). Where are enclosure notations, if applicable, keyed in a letter?a. three lines above the reference initialsb. three lines below the reference initialsc. one or two lines below the reference initials make 20 sentences in your own and change into negative and yes/ no questions. If you were interested in charting prices of resources used by producers of energy, which of the following would you use?A) The GDP deflator.B) The Cost of Living Adjustment (COLA).C) The Producer Price Index (PPI).D) The Consumer Price Index (CPI). plz help fast :3A quiz has 40 questions, with 10 questions worth 1 point each and 30 questions worth 3 points each. Amanda had no more than 30 points subtracted from the total possible points. Write an inequality that shows the possible points, p, that Amanda earned. Vivaldi wrote instrumental music that depicts a scene without the use of sung words, a genre called 8. How much power is required to push a car with a flat tire for 10 seconds if the amount of work done during that time is 5,500 joules? Consider a group of 1,000 newborn infants. One hundred (100) infants were born with serious birth defects, and 20 of these 100 died during the first year of life. Ninety (90) of the 900 remaining infants without any birth defects also died during the first year of life. Calculate the overall cumulative incidence of mortality in this population. a client is taking selfie ssulfisoxazole for a urinary tract infection and complain of nausea and gastric upset. which one of the following statements about preferred stock is true? there is no significant difference in the voting rights granted to preferred and common shareholders. if preferred dividends are non-cumulative, then preferred dividends not paid in a particular year will be carried forward to the next year. unlike dividends paid on common stock, dividends paid on preferred stock are a tax-deductible expense. dividends on preferred stock payable during the next twelve months are considered to be a corporate liability. preferred stock usually has a stated liquidating value of $100 per share. Given a line with slope of -1 and y-intercept of 8, which of the ordered pairs given below would NOT be on the line?(2, 10)(-1, 9)(0, 8)(3, 5) Brett rented ice skates for 34 hour. The total cost was $5.25. What is the cost per hour of renting the ice skates? Approximately how many immigrants came to the United States between the Civil War and World War I? It is the year 1500. You have just returned to Europe from a voyage to the New World. Describe what youexperienced, discovered and brought back. Give specific details and write a minimum of 5-6 sentences. Earnings per ShareThe 2018 balance sheet for Guthrie Corporation revealed the following information:Common stock, $10 par, 50,000 shares issued and outstandingPreferred stock, $100 par, 6%, cumulative stock, 1,000 shares issued and outstandingDuring 2019, Guthrie reported net income of $225,000 and engaged in the following stock transactions:Mar. 1Issued 10,000 shares of common stock for cash.Apr. 1Reacquired 2,000 shares of common stock as treasury stock.Aug. 1Resold 1,000 shares of treasury stock for cash.Sept. 1Declared and issued a 50% stock dividend on common stock.Required:1. Determine if Guthrie has a simple or complex capital structure.Simple capital2. Calculate the weighted average number of shares of stock that should be used to calculate EPS for the 2019 income statement. Round your answer to the nearest whole number.fill in the blank 2 shares3. Compute the basic EPS that would be disclosed by Guthrie. Round your answer to 2 decimal places.Basic EPS $fill in the blank 3