x + 6 x + 5

im trying to find the area of the rectangle in a polynomial standard form

X + 6 X + 5 Im Trying To Find The Area Of The Rectangle In A Polynomial Standard Form

Answers

Answer 1

Area of the entire rectangle is x² + 11x + 30. This can be obtained by adding area of each square.

Calculate the polynomial for area of the entire rectangle:

Method 1

Area of rectangle = length × width  

Area (blue) =  length × width = (x) ×  (x) = x²Area (green) =  length × width = (5) ×  (x) = 5xArea (pink) =  length × width = (6) ×  (x) = 6xArea (orange) =  length × width = (6) ×  (5) = 30

Area of entire rectangle = x² + 5x + 6x + 30 = x² + 11x + 30

Method 2

Area of entire rectangle = length × width

                                   = (x+6)×(x+5)    

                                  = x² + (6+5)x + (6×5)        [∵(x+a)(x+b) =x² + (a+b)x + ab]

                                    = x² + 11x + 30

Hence area of the entire rectangle is x² + 11x + 30.

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Related Questions

Rule 1: Multiply by 2 then add 1 starting from 1.
Rule 2: Divide by 2 then add 4 starting from 40.

I need to make an sequence for both of them and I need help

Answers

Rule 1:

1, 3, 7, 15, 31, 63, 127, 255, 511, 1023 etc

Rule 2:

40, 24, 16, 12, 10, 9, 8.5, 8.25, 8.125, 8.0625 etc

Hope this helps!

The first sequence is 1,3,7,15,31 and second sequence is 40,24,16,12,10.

Given that first rule is that multiply by 2 then add 1 starting from 1 and second rule is that divide by 2 then add 4 starting from 40.

We have to find the sequences for each rule.

We have to start from starting point and then apply the rule to find the sequence.

Sequence of rule 1:

Second term of sequence=2*1+1=3

Third term of the sequence=2*3+1=7

Fourth term of the sequence=2*7+1=15

Fifth term of the sequence=2*15+1=31.

Sequence will be 1,3,7,15,31.

Sequence of rule 2:

Second term of sequence=40/2+4=24

Third term of sequence=24/2+4=16

Fourth term of sequence=16/2+4=12

Fifth term of sequence=12/2+4=10

Sequence will be : 40,24,16,12,10.

Hence the first sequence is 1,3,7,15,31 and second sequence is 40,24,16,12,10.

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Marco built a circular table that has a radius of 3 centimeters. what is the diameter of the table ?

Answers

Answer:

Diameter = 2 x Radius / The answer should be 6.

Step-by-step explanation:

D = 2 x 3

= 6

Use the scale of 1cm=45 km
The actual distance between two cities is 333 km. What is the distance between them on the map

Answers

Answer:

d = 7.4 cm is the distance between the two cities on the map.

Step-by-step explanation:

Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.

Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:

1 cm/45 km = d/D

Substituting, we get:

1 cm/45 km = d/333 km

d/333 km = 1 cm/45 km

(d/333 km)(333 km) = (1 cm/45 km)(333 km)

d = (333 km/45 km)(1 cm)

d = 7.4 cm is the distance between the two cities on the map.

Check:

1 cm/45 cm = d/333 km

1 cm/45 cm = 7.4 cm/333 km

1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained

O 40
O 13
O 80
05
R
T
8x
12x + 20

Answers

answer is 5 because i did this before

22. If 1 m,m/19 - 118°, and m/16 - 48°, calculate m/12.
0 0
103"
98
109⁰
110"
18
17
19 20
14
16
13
15
11
10
12
9
63
5
m

Answers

Answer: Option 4

Step-by-step explanation:

[tex]m\angle 20=62^{\circ}[/tex] (linear pair)

[tex]m\angle 11=70^{\circ}[/tex] (angle sum in a triangle)

[tex]m\angle 12=110^{\circ}[/tex] (linear pair)

problem plot two points that are 8 88 units from point b bstart color #11accd, b, end color #11accd and also share the same x xx-coordinate as point b bstart color #11accd, b, end color #11accd.

Answers

The two points are B'=(-6,-8).

What is the plot?A plot is a graphical technique for depicting data collection, typically in the form of a graph that depicts the relationship between two or more variables. The storyline can be created either by hand or by computer. Previously, mechanical or electrical plotters were used.

To plot the points:

Plot a new point that is 8 units down and also has the same x coordinate.

Given - Point B = ( -6, 0 )

Represent the new point with B':

In Point B = ( -6, 0 )  

[tex]x=-6,y=0[/tex]

This means that B' has an x coordinate of -6.

Next, is to determine the y coordinate:

If a point (x,y) is translated b units down, the new point is (x, y, -b)

In this case:

The y coordinate of B is 0 and b = 8.

So, the new y coordinate is 0 - 8 = -8

So, we have B'=(-6,-8).

Therefore, the two points are B'=(-6,-8).

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I NEED HELP W THIS QUICK FIRST TO ANSWER CAN HAVE BRAINLIEST I GUESS
i added more pts cus idrc for em

Answers

Answer:

1. Multiply the slope by 2 and look at the numerator

2. 5/7

3. slide A

4. The run of slide a is shorter which means that its steeper because the rise is the same

5. 10

6. 5 units?

Step-by-step explanation:

#1

We would use the slope

We know

slope=tanØ

Here in slide B

tanØ=5/9

But

tanØ=Ladder/18

Then

9Ladder=90Ladder=90/9=10ft

#2

The slope of slide A

tanØ=15/21tanØ=5/7

#3 and 4

Compare tangents

tan(5/7)>tan(5/9) as their difference is +ve

Slide A is steeper

#5

Found in #1

#6

Slide A is higher as 15>10

If there are seven points on a plane and no three points are on the same line, how many lines can the points make?

Answers

The number of lines that the points can make is; 21 lines

How to find Collinear Points?

We are given that;

- There are 7 points on a Plane

- No 3 points on the plane are on the same line

Thus;

No 3 points are collinear and as such the number of lines that the points can make is found from the combination  formula;

C(7,2);

C(7,2) = 7!/(7 - 2)!*2!

= (7 × 6)/(2 × 1)

= 42/2

=21

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Does the expected value of a random variable have to equal one of the possible values of the random variable? explain

Answers

No, just like the average (mean) it is a mathematical quantity that is determined by its mathematical definition and the everyday meaning of “expected” is only a descriptive hint toward what it represents.

What does the expected value of a random variable mean?

E[X] stands for the expected value of a random variable. The expected value of a random variable is also known as its mean, in which case we use the notation X. It can be thought of as the "average" value obtained by the random variable.

Is the expected value always equal to the mean?

The primary distinction between "mean" and "expected value" is that the former is typically used to describe a frequency distribution and the latter, a probability distribution. In frequency distribution, variables and their occurrence frequencies make up the sample space.

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how many 3cm cubes can be put in a box 3cm long 6cm wide 12cm high?

Answers

Answer:

8

Step-by-step explanation:

A cube is equal on all sides. Therefore the cubes must be 3cm x 3cm x 3cm. Therefore, each cube has an area of 27cm^3. The box that the cube has an area in is 3cm x 6cm x 12 cm which = 216cm^3. If you do [tex]216cm^3/27cm^3 = 8 cubes[/tex]

The number of cubes that fit on the 3 cm side times the number that fit on the 6 cm side times the number that fit in the 12 cm high side.

HELP ASAP PLEASE


Kaydence is saving for an RR$P. She saved $100 the first year, $200 the second year, $300 the third year, and so on. If she put $100 away on January 1, 2014. $200 away on January 1, 2015, and continued to put money away on the first of each year, how much money would Kaydence have saved by the end of the day on January 1, 2050?

Answers

Based on the information given, the total money that is expected Kaydance save is $70300

How much money will Kaydance save every year?

It is known she started saving $100 and each year she saves $100 more than the previous year. Also she will save a total of 36 years. This will be equal to:

100+200+300+400+500+600+700+800+900+1000+1100+1200+1300+1400+1500+1600+1700+1800+1900+2000+2100+2200+2300+2400+2500+2600+2700+2800+2900+3000+3100+3200+3300+3400+3500+3600+3700

How much money will she save in total?

100+200+300... = $70300

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Triangle JKL is graphed on the coordinate plane. -5 -4 -3 y B MD N In L 2 4 5 X What are the coordinates of its image, JKL, if this triangle is dilated by a factor of 5 with respect to the origin? O J(2, 7), K (8, 7), and L'(5, 1) O J'(-5, 2), K'(5, 2), and L'(0, -5) O J'(-3, 2), K'(8, 2), and L'(0, -9) O J'(-15, 10), K'(15, 10), and L'(0, -20)​

Answers

The coordinate of the image of JKL when dilated by a factor of 5 with respect to the origin is J'(-15, 10), K'(15, 10) and L'(0, 20).

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.

Translation is the movement of a point either up, left, right or down in the coordinate plane.

Let us assume that triangle JKL has vertices at J(-3, 2), K(3, 2) and L(0, 4).

The coordinate of the image of JKL when dilated by a factor of 5 with respect to the origin is J'(-15, 10), K'(15, 10) and L'(0, 20).

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HELP ASAP AND GET 20 POINTS!!!

Answers

Answer:

A

Step-by-step explanation:

point H is the point of intersection of the perpendicular bisectors of the triangle's sides and is the circumcentre.

Answer:

A. Circumcenter

Step-by-step explanation:

this is the point that has the same distance from all 3 vertexes.

being on the median line of DE, every point of that line has the same distance to D and E.

being also on the median line of FE means it has the same distance from F and E as every other point on that line.

and the same for DF.

H as the crossing point of all 3 median lines is the only point that has the same distance to D, E and F.

so, H is the center of a circle that goes through all 3 points.

2. Two rectangular lots are adjacent to each other, as shown in the diagram below. Using a function operation, determine how many times bigger the large lot is than the small lot. Clearly identify the individual component functions and simplified final equation. ​

Answers

The large rectangle is 8/3 times bigger than the small rectangle.

How to explain the area?

Area of large rectangle will be:

= 4x(2x - 2)

= 8x² - 8x

Area of small rectangle will be:

= (3x - 3)x

= 3x² - 3x

The ratio will be:

= 8x² - 8x/3x² - 3x

= 8(x² - x)/3(x² - x)

= 8/3

The large rectangle is 8/3 times bigger than the small rectangle.

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rationalize the denominator !!!
please need help giving brainliest to all recent questions asked on my profile!!

Answers

Answer:

[tex]\frac{1\cdot \left(4+\sqrt{3}\right)}{\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right)}\\[/tex]

[tex]1\cdot \left(4+\sqrt{3}\right)=4+\sqrt{3}[/tex]

[tex]\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right) = 13[/tex]

[tex]= \frac{4+\sqrt{3}}{13}[/tex]

x = 4

y = 3

z = 13

Answer:

x = 4, y = 3, z = 13

Step-by-step explanation:

Multiply the equation by the opposite of the denominator

[tex]\frac{(1)(4 + \sqrt{3}) }{(4-\sqrt{3})(4+\sqrt{3} ) } \\\\\frac{4 + \sqrt{3} }{16 - 4\sqrt{3} +4\sqrt{3} -3} \\\\= \frac{4+\sqrt{3} }{13}[/tex]

If a movie starts at 13:35 and it lasts 1 hour and 27 minutes. What time does it end at?​

Answers

Answer:

15:02 or 3:02 pm

Answer:

[tex]13.35 + 1.27 = 14.62 \\ \\1 hr = 60min \\ 62 min- 60min =2min \\ 14hr + 1hr = 15hr \\ \\it \: ends \: at \: 15.02[/tex]

Please help due right now !! pls show work thank uuuuu

Answers

Answer:

x=9.73

Step-by-step explanation:

This is trigonometry work! :)

So cos46°=x/14

          x=14×cos46°

          x≈9.73

Hope this helps <3

HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I well give 100 point and a crown but need to be answer in less then 20 mins


If I have 419 assignments to do and i have pleated completed 79 how much work will I need to do every day to finish in one week

Answers

Answer:

Step-by-step explanation:

419-79= 340 assignments left to do

340/7days=48.57..... or about 46 assignments a day to finish them all in a week

(1 week= 7 days)

I don't know if you were serious but good luck with all the work if you are

Answer:

47 on 6 days and 48 on 1 day.

Step-by-step explanation:

Firstly you need to subtract 79 from 419. You will have 330 assignments left and the divide 330 by 7 since there are 7 days in a week and you get 47.142 and so if you double check by multiplying 47 times 7 it gives 329 so then you get 47 on 6 days and 48 on 1 day. Hope this helps!

A hat contains slips of paper with the letters A-Z printed on them. If you draw one at random, what is the probability that you will get a vowel?

Answers

The probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is 5/26

What is probability?

Probabilities are used to determine the chances, likelihood, possibilities of an event or collection of events

How to determine the probability?

The given parameters are:

Letters = A - Z

Vowels = A, E, I, O and U

The above means that the number of letters and vowels are

n(Letters) = 26

n(Vowel)

The probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is

P(Vowel) = n(Vowel)/n(Letters)

Substitute the known values in the above equation

P(Vowel) = 5/26

Hence, the probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is 5/26

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Use vector operations to draw the resultant vector. Draw u – v + w

Answers

Based on the above, the graph of the resultant vector is shown in the image attached  (x-axis).

What is the graph about?

In the  graph construction, We need to carry out a sum of vectors and then draw the resultant vector.

Note that the resultant vector need to be <4, 0>

Hence when we view the graph attached, we can say that the vectors areas:

w = <3, 3>

u = <-3, -4>

v = <-4, -1>

So, the sum = u - v + w

Note also that in the sum of the vectors we need to add and subtract the correspondent parts and it will be:

u - v + w

= <-3, -4> - <-4, -1> + <3, 3>

= <-3 + 4 + 3, -4 + 1 + 3>

= <4, 0>

Therefore, Based on the above, the graph of the resultant vector is shown in the image attached  (x-axis).

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Write an equation of the line that passes through (2, 0) and is perpendicular to the line
y = -x-3.
An equation of the perpendicular line is y =

Answers

Answer:

y =x - 2

Step-by-step explanation:

If the slope of the line is  'm', then the slope of the perpendicular to the given line = [tex]\sf \dfrac{-1}{m}[/tex]     (opposite reciprocal)

    y = -x - 3

Compare with equation of line in slope y-intercept form: y = mx +b

 m = -1

[tex]\sf \text{Slope of the perpendicular line = $-(\dfrac{1}{-1})= 1$}[/tex]

This line passes through (2, 0);

Equation of the line in slope - point form:

        [tex]\sf y - y_1 = m(x - x_1)[/tex]

       y  - 0   = 1 (x - 2)

            y = x - 2

Ummm can y’all solve these problems I’ll give extra points for this
Pls solve step by step and label which is which

Answers

I hope this will help you in future problems!

When preparing a representative sample from a list of 200 customers who complained about errors in their statements, a _____ might select every tenth customer for review. a. stratified sample b. comprehensive sample c. random sample

Answers

When preparing a representative sample from a list of 200 customers who complained about errors in their statements, a systematic sample might select every tenth customer for review.

What is systematic random sampling?

Systematic random sampling is known to be a form of a random sampling method that needs one to select samples using a system of intervals where one has ranges of numbered population.

Note that When preparing a representative sample from a list of 200 customers who complained about errors in their statements, a systematic sample might select every tenth customer for review.

See options below

a. stratified sample

b. comprehensive sample

c. random sample

d. Systematic sample

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There are 4 books on a shelf. books are added to the shelf at a rate of 2 books per minute. the total number of books on the shelf, y, is a function of the number of minutes, x, that the books have been added to the shelf. write an algebraic equation for the function.

Answers

The algebraic equation to represent the given situation is as follows,

y = 4 + 2x

What is an algebraic equation?

The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).

Forming the Algebraic Equation

Number of book present on the shelf initially = 4

It is given that 2 books are added per minute to the shelf.

If x is the number of minutes, then the books added will be 2x.

If y is the total number of books present on the shelf, then the algebraic equation is given as,

y = Number of books initially present on the shelf  + 2x

⇒ y = 4 + 2x

Thus, y = 4 + 2x is the required algebraic equation.

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A triangular metal plate has base measuring 18 cm. Its height is unknown.

What equation models the area of this plate?

Let A represent the area, b represent the base, and h represent the height of the plate.

The model is based on the formula for the area of a triangle.

Answers

The area as a function of the height H is:

[tex]A= 9cm*H[/tex]

Which equation models the area of the metal plate?

We know that for a triangle of base B and height H, the area is given by:

[tex]A = \frac{B*H}{2}[/tex]

In this case, we already know that the base measures 18cm, then the formula for the area as a function of the height H is:

[tex]A= \frac{18cm*H}{2} = 9cm*H[/tex]

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Service organizations are often ideally suited for activity-based costing. In no less than 200 words, explain why the previous statement is true and discuss what some of the special considerations are in the design of cost accounting systems for service organizations

Answers

Service organizations are ideally suited for activity-based costing because virtually all of the costs for a service company are indirect and appear to be fixed.

What is activity-based costing?

Activity-based costing is a method of assigning overhead and indirect costs such as salaries and utilities to products and services.

The ABC system of cost accounting is based on activities that are considered any event, unit of work, or task with a specific goal.

Here, activity-based costing has been used in manufacturing products but can also be applied to service industries, or businesses that provide a service instead of a product.

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WILL GIVE BRAINLIEST FOR CORRECT ANSWER AND EXPLANATION Belinda is buying fencing for her vegetable garden to keep her dogs out. The length of her garden is 15.6 feet, and the width is 10.8 feet. How much fencing material should she purchase to build the fence around the garden?
A. 168.48 ft
B. 54 ft
C. 52.8 ft
D. 26.4 ft

Answers

Answer:

C. 52.8 ft.

Step-by-step explanation:

Calculate the perimeter of the garden

[tex]P=2l+2w=2(15.6)+2(10.8)=31.2+21.6=52.8[/tex]

The perimeter represents the length of the fencing material she needs

Hope this helps

Answer:

52.8 if u give me brainliest tht will be so help full:)

Step-by-step explanation:

A freezer is shaped like a rectangular prism. It has a length of 8 feet and a height of 3 feet. The volume is 54 cubic feet. Find the width of the freezer.

Answers

Answer:

2.25 ft

Step-by-step explanation:

Volume = length x height x width

54= 8 x 3 x ?

Combine: 54= 24 x ?

Find ?: 54/24=2.25

Recheck: 24 x 2.25 = 54

. An automobile license plate number issued by a certain state has 6 character positions. Each of the first 3 positions contains a single digit from 0 through 9. Each of the last 3 positions contains 1 of the 26 letters of the alphabet. Digits and letters of the alphabet can be repeated on a license plate. How many different such license plate numbers can be made

Answers

Answer:

17,576,000

Step-by-step explanation:

3 digits followed by 3 letters

Draw an underline character for each position with multiplication signs in between them.

_ × _ × _ × _ × _ × _

Now fill in each blank with the number of characters that can be used in that position. The first three blanks are used with digits, 0 through 9. There are 10 digits 0 through 9.

10 × 10 × 10 × _ × _ × _

For the last three blanks, each one gets a letter from A through Z. There are 26 letters to choose from fore each of the last three blanks.

10 × 10 × 10 × 26 × 26 × 26 = 17,576,000

Last year, during an investigation of the time spent reading e-mails on a daily basis, researchers found that on Monday the average time was 50 minutes. Office workers claim that with the increased spam and junk mail, this time has now increased. To conduct a test, a sample of 25 employees is selected with the following results: sample mean

Answers

The sample mean value is 0.26.

According to the statement we have given that the

Monday the average time was 50 minutes and we have to find the sample mean.

So, the values become

H(not):μ≤50

H(a):μ>50

Right Tail

The significance level, of the given number of employees then

α=0.05

And The value of sample mean, is

Z=x - u/i*(n)^1/2

then the value becomes

Z = 5.6 - 5/1.2*(25)^1/2.

then after calculating

Z= 1.6/1.2*5

Z= 0.26 And

Here The value of sample mean is 0.26.

So, The sample mean value is 0.26.

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does the manuscript painting of blanche of castille, louis ix, and two monks reflects the style of stained glass windows. find the missing value of y that makes the equation y=2/3x-4 true when x=9 (figure: labor supply curve) based on the graph, we see that this person is willing to supply _____ hours of labor at wage rate w1 than at w2 and _____ hours of labor at wage rate w3 than at w2. As the Sun evolves into a red giant, where will we need to move to within our Solar System if humanity still exists?Marsour MoonMercurythe moons of the outer planets The inflation adjusted interest rate is calculated as: if= i + f - if .True or False? This type of title insurance covers matters of record, forgery and fraud, ownership of the property, accessibility to the property, and marketable interest...?ACLTABRESPACALTADTILA The movement of air pollutants via evaporation and winds from tropical and temperate areas to polar regions is referred to asa. temperature inversionb. the grasshopper effectc. acid depositiond. the rainshadow effecte. none of these answers Which technologies are used with ADSL? a. OFDM, TDD (time division duplexing) b. OFDM, Mary modulation c. Mary modulation, WDM d. WDM, WLL At hollywood connection, edgar plays laser tag 6 minutes for every 8 minutes he plays arcade games. If edgar plays arcade games for 48 minutes. for now many minutes will he play laser tag Ahmad is a graphic artist. He tweets a photo of his high school yearbook cover that he helped design.In what ways can the tweeted photo be used as PII? For each of the following, describe why Java will or wont complain: If it will, describe how to fix it: A var X = 3.0 "2" B. long console nextInto); C if((2^7)>-5){Math.abs(-4);} D. fork;;){;} E. boolean True false; Ricardo plans to pay for college by using his savings along with his scholarships, grants, and work-study programs. Which source of funding does Ricardo have the greatest amount of personal control over?saving scholarships grants work-study programs. What are five important events that helped shape the United States? Pair each noun phrase with its opposite on the right a trivial affair is On June 30, 2021, Georgia-Atlantic, Inc. Leased warehouse equipment from IC Leasing Corporation. The lease agreement calls for Georgia-Atlantic to make semiannual lease payments of $880,440 over a three-year lease term (also the assets useful life), payable each June 30 and December 31, with the first payment at June 30, 2021. Georgia-Atlantic's incremental borrowing rate is 8%, the same rate IC used to calculate lease payment amounts. IC purchased the equipment from Builders, Inc. At a cost of $4. 8 million. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided. ) Required: 1. What pretax amount related to the lease would IC report in its balance sheet at December 31, 2021? 2. What pretax amount related to the lease would IC report in its income statement for the year ended December 31, 2021? complete the code to perform a case-sensitive comparison to determine if the string scalar stringin contains the string scalar substring. find the net signed area between the curve of the function f(x)=2x 4 and the x-axis over the interval [7,3]. do not include any units in your answer Descartesa. is not a determinist, and he argues that the human person is an exception to the mechanistic conception of the universe.b. is a determinist, and he argues that the human person is an exception to the mechanistic conception of the universe.c. has a compatibilist notion of free will.d. has a conception of free will that is the same as the conception offered by Hume. when the president of your college awards scholarships at a banquet to high-achieving students, the president is showing an example of John received $200 dollars for his birthday. He went to Greenbriar Mail and purchased a pair of tennis shoes for $75.00. Then he went to the Cookie Store and bought $10.00 worth of cookies. Going to the car, John looked down and found $20.00 on the ground. How much money does John has now?