Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k. A) 2 B) 3 C) 4 D) 5 IF YOU ANSWER IN 5 MINUTES I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!

Given F(x) And G(x) = F(x) + K, Use The Graph To Determine The Value Of K. A) 2 B) 3 C) 4 D) 5 IF YOU

Answers

Answer 1

Ans   k = 4

Step-by-step explanation:

Here g(x) =[tex]\frac{-1}{3}x + 1[/tex] and

        f(x) = [tex]\frac{-1}{3} x -3[/tex]

Now,  g(x) = f(x) + k

    or,      [tex]\frac{-1}{3}x + 1[/tex]  =  [tex]\frac{-1}{3} x -3 + k[/tex]

    or,      1 + 3 = k

    So,  k = 4   Answer.


Related Questions

Write down the first 6 elements of the following sequence (where n ∈ Z +), then give a recursive definition for an. Do not forget the base case. (You do not need to prove it is correct). (a) an = 3n − 10 (b) an = (1 + (−1)n ) n

Answers

Step-by-step explanation:

The first six terms for each of the following sequenses are:

(a) a_n = 3n - 10

1. a_1 = -7

2. a_2 = -4

3. a_3 = -1

4. a_4 = 2

5. a_5 = 5

6. a_6 = 8

(b) a_n = (1 + (-1)^n) ^n

1. a_1 = 0

2. a_2 = 4

3. a_3 =0

4. a_4 = 16

5. a_5 = 0

6. a_6 = 32

47% of the students in a class of 34 students has glasses or contacts. How many students in the class have either glasses or contacts?

Answers

Answer:

16

Step-by-step explanation:

47% is 0.47

34 x 0.47 = 15.98

So a trick question, its either 15 students or 16 students.... I would say 16 students, although the percentage would be 47.05%

16 students either have glasses or contacts.

Using Pascal’s Theorem, expand the expression 〖(2x-y)〗^3

Answers

Answer:

(2x - y)³ = 8x³ - 12x²y + 6xy² - y³

Step-by-step explanation:

Pascal's Theorem uses a set of already known and easily obtainable numbers in the expansion of expressions. The numbers serve as the coefficients of the terms in the expanded expression.

For the expansion of

(a + b)ⁿ

As long as n is positive real integer, we can obtain the coefficients of the terms of the expansion using the Pascal's triangle.

The coefficient of terms are obtained starting from 1 for n = 0.

- For the next coefficients of terms are 1, 1 for n = 1.

- For n = 2, it is 1, 2, 1

- For n = 3, it is 1, 3, 3, 1

The next terms are obtained from the previous one by writing 1 and summing the terms one by one and ending with 1.

So, for n = 4, we have 1, 1+3, 3+3, 3+1, 1 = 1, 4, 6, 4, 1.

The Pascal's triangle is

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

The terms can also be obtained from using the binomial theorem and writing the terms from ⁿC₀ all through to ⁿCₙ

So, for n = 3, the coefficients are 1, 3, 3, 1

Then the terms are written such that the sum of the powers of the terms is 3 with one of the terms having the powers reducing from n all through to 0, and the other having its powers go from 0 all through to n

So,

(2x - y)³ = [(1)(2x)³(-y)⁰] + [(3)(2x)²(-y)¹] + [(3)(2x)¹(-y)²] + [(1)(2x)⁰(-y)³]

= (1×8x³×1) + (3×4x²×-y) + (3×2x×y²) + (1×1×-y³)

= 8x³ - 12x²y + 6xy² - y³

Hope this Helps!!!

Find the total surface area of the cone in the figure. ( use rr=3.14.)

Answers

Answer:

Answer D

Step-by-step explanation:

The formula is [tex]A = pi r(r+\sqrt{h^2+r^2})[/tex]. We have our r (radius) and h (height), so plugging it all in would give us A = (3.14)(5 + sqrt(12^2)+(5^2). After computing this, you would get answer D, 282.6.

Use the elimination method to solve the system of equations choose the correct ordered pair x-3y=-23 5x+6y=74

Answers

Answer:

( 4, 9 ) is our solution in an ordered pair, as you could also say x = 4, and y = 9

Step-by-step explanation:

So we have the following system of equations at hand ( given directly below ), and want to make it such that each equation is multiplied by a value that makes a common variable, say x, have opposite values of coefficients such that they cancel each other out when the two equations are added, enabling you to solve for the value of the other variable, in this case variable y.

[tex]\begin{bmatrix}x-3y=-23\\ 5x+6y=74\end{bmatrix}[/tex] - Multiply this top equation by -5, so the coefficient of variable x becomes - 5, opposite to the respective x coefficient in the second equation.

[tex]\begin{bmatrix}-5x+15y=115\\ 5x+6y=74\end{bmatrix}[/tex] - Adding the two equations we receive the simplified equation 21y = 189. y = 189 / 21 = 9. If y = 9, x should = - 23 + 3y = - 23 + 3 [tex]*[/tex] 9 = 4. To get this value of x simply isolate the value of x in the first equation given to us, and substitute the known value of y. We have our solution in the form ( 4, 9 ), where x = 4 and y = 9.

Answer:

4,9

Step-by-step explanation:

An epidemiologist is observing the decay pattern of a pathogenic bacteria after applying a vaccine. He starts with 2,000 bacteria that decay at a rate of 4.5% per hour. He will check on the bacteria in 36 hours. How many bacteria will he find? Round your answer to the nearest whole number.

Answers

Answer:

396

Step-by-step explanation:

A customer enrolled in a 1-year product purchase plan that costs $60 per month. After 6 months, the customer received a monthly discount of 20%. What is the total amount the customer will pay for the 1-year plan?

Answers

Answer:

$432

Step-by-step explanation:

60*6=360

They paid $360 for the first 6 months.

20%*60=.2*60

0.2*60=12

12*6=72

They paid $72 for the last 6 months.

360+72=432

They paid $432

$648 is the total amount the customer will pay for the 1-year plan

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that a customer enrolled in a 1-year product purchase plan that costs $60 per month.

After 6 months, the customer received a monthly discount of 20%.

We need to find the total amount the customer will pay for the 1-year plan.

Product Plan = $60 per month

Money he pay for 1 month = $ 60

Money He pay for first 6 month = 6 × 60 = $ 360

after 6 month he receives 20% discount monthly,

So, Now he pay for 1 month = 60 - 20% × 60

=60-20/100×60

=60-12=48

Money he pay for last 6 month = 6 × 48 = 288

Total Money he  pay in a year = 360 + 288 = $ 648

Hence, $648 is the total amount the customer will pay for the 1-year plan

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Improving the quality of high-value decision making by an executive will save an organization far more money than improving the quality of lesser-value decisions made at a lower level.
A. True
B. False

Answers

Answer:

A. True

Step-by-step explanation:

Since it is lesser, it will also bring in lesser profit :)

Is the test below left-, right-, or two-tailed? H0:p=0.39, Ha:p≠0.39 Select the correct answer below: The hypothesis test is two-tailed. The hypothesis test is left-tailed. The hypothesis test is right-tailed.

Answers

Answer:

The hypothesis test is a two-tail test

Step-by-step explanation:

The test hypothesis:

Null hypothesis                  H₀       p = 0,39         or   p  =  p₀

Where p₀ is a nominal proportion (established proportion) and

Alternate hypothesis         Hₐ       p  ≠  0,39        or  p ≠  p₀

Is a two-tail test, (≠) means different, we have to understand that different implies bigger and smaller than something.

For a test to be one tail-test, it is necessary an evaluation only in one sense in relation to the pattern ( in this case the proportion )

Write the following numbers in increasing order: −1.4; 2; −3 1 2 ; −1; − 1 2 ; 0.25; −10; 5.2

Answers

Answer:

-12,-10,-3,-1.4,-1,0.25,2,5.2,12

Step-by-step explanation:

The following number −1.4; 2; −3 1 2 ; −1; − 1 2 ; 0.25; −10; 5.2 in increasing order

-12,-10,-3,-1.4,-1,0.25,2,5.2,12

It's arranged this way starting from the negative sign because positive it's greater than negative and if the negative gets to approach zero it's get smaller

Answer:

-10 ; -3 1/2 ; -1.4 ; -1 ; -1/2 ; 0.25 ; 2 ; 5.2

Which represents the value of c?

Answers

You guy correct that is the answer the second opinion

Step by step below


Hopefully this help you :)

help I don't understand

Answers

Answer:

x = 9.9 in.

2 of the same type of triangle = 1 square

To find x, you have to remember that a square is made from two right triangles combined. In this photo, we can see that the length and width of the triangle have the same value (the two sides that point up and to the right), so that means if we multiply the area by two, then we get the area of a square or two of the same triangle's area.

Step 1:

To find the area of the square/two triangles, multiply the area by two.

[tex]49*2=98[/tex]

98 is the area of the square.

Step 2:

Now we have to find the square of 98 (find two numbers that are the same that multiply to 98).

[tex]\sqrt{98}[/tex]

When we solve this square, we find out that it is not a perfect number. So:

[tex]\sqrt{98} =\\9.89949[/tex]

That is just an estimate of x, so when we round to the nearest tenth, we get 9.9.

To check our answer, multiply 9.9 by 9.9 and we get 98.01, but since we rounded our answer, 98.01 is correct. If we round that to 98 and divide by 2, we get our original area of one triangle, 49.

x = 9.9

Answer:

9.9

Step-by-step explanation:

Well let's work backwards.

If the area is 49 then we do 49*2 because after doing b*h you divide by 2.

So 49*2 = 98.

If the b and h is the same then we find the square root of 98,

which is 9.899494937.

Thus,

the answer is 9.9 rounded to the nearest tenth.

Hope this helps :)

El valor de una potencia será uno si

Answers

Answer:

The number stays the same

Step-by-step explanation:

The power of 1 equals the number itself

Maths Problem I can't quite understand. Please could you help? All shown on the picture :) I hope you could help

Answers

Answer:

50  1  20

4   10  25

5  100 2

Step-by-step explanation:

Hello,

we can use Dudeney method

[tex]1000 = 2^35^3[/tex]

so we have a =2 and b = 5

the solution is

[tex]ab^2 \ \ 1 \ \ \ \ a^2b\\a^2 \ \ \ ab \ \ \ b^2\\b \ \ \ \ a^2b^2 \ \ a[/tex]

just need to replace a by 2 and b by 5

hope this helps

HELP ASAP ILL GIVE BRAINLIEST !!! The social studies teacher wants to know whether students in the entire school but for a model of the United Nations activity or student government activity the teacher just a random sample from the following groups all teachers in the school I’ll boys in each grade or students in each grade I’ll send some social studies club which group best represents the population he should take a random sample from to get the best results for his survey

Answers

Answer:

Hello There. ☆~---_●₩●__---☆~ The students in each grade, that way it wont focus just on one group like the club, the teachers, or the boys.

Hope It Helps!~ ♡

ItsNobody~ ☆

If A=p+prt, than t equalls?

Answers

Answer:

[tex]\boxed{t=\frac{A-p}{pr}}[/tex]

Step-by-step explanation:

[tex]A=p+prt[/tex]

Subtract p on both sides.

[tex]A-p=p+prt-p[/tex]

[tex]A-p=prt[/tex]

Divide both sides by pr.

[tex]\displaystyle \frac{A-p}{pr} =\frac{prt}{pr}[/tex]

[tex]\displaystyle{\frac{A-p}{pr} =t}[/tex]

Answer:

A=p+prt

=>A/R=2pt

=>A/RT=2p

=>A/RTP=2

=>A/2RP=T

Not Logical.....LollllllFollow meehhhh ⚡❤♥️✨♥️❤❤❤

Please answer the followings: W^mW^n=

Answers

Step-by-step explanation:

[tex]W^m=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{m}\\\\W^n=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{n}\\\\W^mW^n=\underbrace{(W\cdot W\cdot W\cdot...\cdot W)}_{m}\underbrace{(W\cdot W\cdot W\cdot...\cdot W)}_{n}\\\\=\underbrace{W\cdot W\cdot W\cdot...\cdot W}_{m+n}=W^{m+n}[/tex]

From the following given equation, the answer to W^mW^n = [tex]\mathbf{W^{m+n}}[/tex]

The laws of indices provide us with the rules and principles for simplifying mathematical computations or algebraic expressions that include powers of the same base.

The example of the question given can be solved by using the multiplication rule. The multiplication rule states that we sum up the power of the integers if they have the same base.

From the given information

W^mW^n = [tex]\mathbf{W^{m+n}}[/tex]

Learn more about indices here:

https://brainly.com/question/15339224?referrer=searchResults

A publisher requires 2∕3 of a page of advertisements for every 5 pages in a magazine. If a magazine has 98 pages, to the nearest whole page, how many pages of the magazine are advertisements?

Answers

Answer:

[tex]\boxed{13}[/tex] pages

Step-by-step explanation:

Divide the total number of pages by 5 to get how many sets of every 5 pages will contain 2/3 of a page of advertisements.

[tex]\frac{98}{5} = 19.6[/tex]

Multiply this value by [tex]\frac{2}{3}[/tex] to get the total number of pages.

[tex]19.6 * \frac{2}{3} \approxeq 13[/tex] pages

What is the slope of the line
described by 2x + 3y = 4?

A. 2/3
B. -2/3
C. 3/2
D. 2
E. 3

Answers

Answer: B) -2/3

Step-by-step explanation:

First turn this equation into slope-intercept form(y = mx + b), where m is the slope.

2x+3y=4

3y=-2x+4

y=-2/3x+4/3

Thus, the slope is -2/3

Hope it helps <3

Answer:

B. -2/3

Step-by-step explanation:

[tex]2x + 3y = 4?\\\mathrm{Slope}\:\mathbf{m}\:\mathrm{of\:a\:line\:of\:the\:form}\:\mathbf{Ax+By=C}\:\mathrm{equals}\:\mathbf{-\frac{A}{B}}\\\mathbf{A}=2,\:\mathbf{B}=3\\m=-\frac{2}{3}[/tex]

Need help with Trigonometry!

Answers

Answer:

h = 109.9 in

Step-by-step explanation:

The above question can be solved using trigonometric ratio formula,

tan θ = opposite/adjacent

tan θ = tan 70° ≈ 2.7475

opposite = height of lamppost = h in

Adjacent = 40 in

Thus,

[tex] tan 70 = \frac{h}{40} [/tex]

[tex] 2.7475 = \frac{h}{40} [/tex]

Multiply both sides by 40 to solve for h

[tex] 40*2.7475 = h [/tex]

h = 109.9 inches

The height of the lamppost = h = 109.9 inches (to nearest tenth)

Can someone Give me the answer?

Answers

Answer:

(0,5)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

From the graph, the graphs intersect at x = 0 and y =5

Step-by-step explanation:

I have trouble with these types of questions as well, but hopefully this might help.

A patrolmen spend 25% of every day completing paperwork. The patrol and shift each day is 8 hourZ how much of his time does he spend doing paperwork each day

Answers

Answer:

25 percent of 8 is 2 so 2 hours

Step-by-step explanation:

A 75 lb boy and a 65 lb girl play on a seesaw. The seesaw is 14 ft long and is pivoted exactly in the middle. If the girl sits on the end of her side, where must the boy sit to make the seesaw balance?

Answers

Answer:  6 feet from the pivot point

Step-by-step explanation:

Girl's weight x distance from center = Boy's weight x distance from center

65 (7) = 75x

[tex]\dfrac{65(7)}{75}=x[/tex]

6.066 = x

The boy needs to be placed 6 feet from the center (aka pivot point) which is the same as saying 1 foot from the end of the seesaw.

Which inequality has a dashed boundary line when graphed? A y>=3/5x+1 B y>= -1/3x+1 C y>3x+1

Answers

Answer: C y>3x+1

Step-by-step explanation:

When we graph an  inequality with strictly greater of less than sign ('<' or '>'), then the graph has a dashed boundary line .Further it indicates that it does not include the points on the line.

From all the given options , only C contains inequality with '>' sign .

Hence, y>3x+1 is the inequality has a dashed boundary line when graphed.

hence, the correct option is C.

3) The radius of circle is 11 miles. What is the area of a sector bounded by a
300° arc?

Answers

Answer:

[tex] Area = 316.6 mi^2 [/tex]

Step-by-step explanation:

Given:

Angle of arc = 300°

Radius of circle = 11 miles

Take π as 3.14

Required:

Area of the major sector

Solution:

Area of sector is given as: angle of arc/360*πr²

Thus,

[tex] Area = \frac{300}{360}*3.14*11^2 [/tex]

[tex] Area = 316.616667 [/tex]

[tex] Area = 316.6 mi^2 [/tex] (rounded to the nearest tenth)

What is the greatest common factor of 24s3, 12s4, and 18s?

Answers

6s as 6 goes into 24, 12 and 18

What is y-4= -2(x+7) written in standard form

Answers

Answer:

2x + y = -10

Step-by-step explanation:

Simplify −2(x+7)

y−4=−2x−14

Move all terms containing variables to the left side of the equation.

2x+y−4= −14

Move all terms not containing a variable to the right side of the equation.

2x + y = −10

Hope this helps

2x + y = 17
-4x = 2y - 34
is it no solution

Answers

Answer:

(0,8.5)

Step-by-step explanation:

Change 2x+y=17 to 4x+2y=34

Cancel it out with -4x=2y - 34

It would be 4y=0

Transfer it to the first or second equation 2x+0=17

x=17/2 or 8.5

Which is the graph of g(x) = (0.5)x + 3 – 4? On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = negative 4. It crosses the y-axis at (0, negative 4). On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = 3. It crosses the y-axis at (0, 3). On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = negative 4. It crosses the y-axis at (0, 4). On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = 4. It crosses the y-axis at (0, 12).

Answers

Answer:

The graph will be an exponential function that crosses the y-axis at about (0, -4).

Step-by-step explanation:

[tex]g(x) = (0.5)^{x + 3} - 4[/tex]

That means that when x = 0...

[tex]g(0) = (0.5)^{0 + 3} - 4[/tex]

[tex]g(0) = (0.5)^{3} - 4[/tex]

[tex]g(0) = 0.125 - 4[/tex]

[tex]g(0) = -3.875[/tex]

So, the graph will be an exponential function that crosses the y-axis at about (0, -4).

Hope this helps!

Answer:

its a

Step-by-step explanation:

i put the equation in desmos and the graph looked exactly like a lol

21.65 to 1 decimal place

Answers

Answer:

21.7

Step-by-step explanation:

When anything is 5 or above in a decimal place you round up to the next number for example

2.35 this would round up to be 2.4

21.65

Place value of 1 = ones place

Face value of 1 = 1

Note : The face value of a number will not change at all

Hope it helps you..If it's wrong plz say and I'll try to recorrect it :)

Other Questions
Please Help #( and please answer my first question before this one).ENGLISH. Write one & nearest antonym to the following words. 1. Forced - ______2. Perfect - ______ I.TDefine the term 'deleting files. R.M.EWho is an adolescents boy. Merline Manufacturing makes its product for $60 per unit and sells it for $142 per unit. The sales staff receives a 10% commission on the sale of each unit. Its December income statement follows. MERLINE MANUFACTURING Income Statement For Month Ended December 31, 2017 Sales $1,420,000 Cost of goods sold 600,000 Gross profit 820,000 Operating expenses Sales commissions (10%) 142,000 Advertising 224,000 Store rent 25,200 Administrative salaries 46,000 DepreciationOffice equipment 56,000 Other expenses 13,200 Total expenses 506,400 Net income $313,600 Management expects Decembers results to be repeated in January, February, and March of 2018 without any changes in strategy. Management, however, has an alternative plan. It believes that unit sales will increase at a rate of 10% each month for the next three months (beginning with January) if the item's selling price is reduced to $127 per unit and advertising expenses are increased by 15% and remain at that level for all three months. The cost of its product will remain at $60 per unit, the sales staff will continue to earn a 10% commission, and the remaining expenses will stay the same. Required: Prepare budgeted income statements for each of the months of January, February, and March that show the expected results from implementing the proposed changes. (Enter your final answers in whole dollars.) Suppose $x-3$ and $y+3$ are multiples of $7$. What is the smallest positive integer, $n,$ for which $x^2+xy+y^2+n$ is a multiple of $7$? Enter your answer. I need Immediate help or you wont get the points. Read the excerpt from President Reagans 1981 Inaugural Address. These United States are confronted with an economic affliction of great proportions. We suffer from the longest and one of the worst sustained inflations in our national history. It distorts our economic decisions, penalizes thrift, and crushes the struggling young and the fixed-income elderly alike. It threatens to shatter the lives of millions of our people. Idle industries have cast workers into unemployment, human misery, and personal indignity. Those who do work are denied a fair return for their labor by a tax system which penalizes successful achievement and keeps us from maintaining full productivity. In this present crisis, government is not the solution to our problem, government is the problem. What is one way that President Reagan addressed the "crisis? He began the War on Drugs. He reduced regulations on businesses He called for a stronger national defense. He appointed three Supreme Court justices. Sampson Co. sold merchandise to Batson Co. on account, $46,000, terms 2/15, net 45. The cost of the merchandise sold is $38,500. Batson Co. paid the invoice within the discount period. Assume both Sampson and Batson use a perpetual inventory system.Required:Prepare the entries that both Sampson and Batson Companies would record. On behalf of the rock group Uno, their manager Thalia agrees to a performance in Seaside Amphitheatre on July 4. Rex, acting for Seaside Productions, sends a written copy of the agreement to Thalia to be signed. Typically, businesspersons put their contracts in writing to A block of mass 27.00 kg sits on a horizontal surface with, coefficient of kineticfriction 0.50 and a coefficient of static friction 0.65. How much force is required toget the block moving? An ionic bond is the attraction between _____. After the Louisiana Purchase was signed, French leader Napoleon said, This accession of territory affirms forever the power of the United States. Write a short persuasive essay either confirming or denying the truth of Napoleons declaration. Solve the equation 1/3 (x + 1) +2x =2 which of the following is an absolute modifier? out of these words; easy, identical, similar, or different? Which of the following is written in passive voice?A. The music box will remain here with me.OB. The band will be appearing at the big show in Chicago.OC. The plan will go into action at the stroke of midnight.D. Martha will be remembered for her hard work and personality. Sketch the graphs:y=-x+5 Read the excerpt from President Ronald Reagans Address at Moscow State University.The explorers of the modern era are the entrepreneurs, men with vision, with the courage to take risks and faith enough to brave the unknown. These entrepreneurs and their small enterprises are responsible for almost all the economic growth in the United States. They are the prime movers of the technological revolution. In fact, one of the largest personal computer firms in the United States was started by two college students, no older than you, in the garage behind their home. Some people, even in my own country, look at the riot of experiment that is the free market and see only waste. What of all the entrepreneurs that fail? Well, many do, particularly the successful ones; often several times. And if you ask them the secret of their success, they'll tell you it's all that they learned in their struggles along the way; yes, it's what they learned from failing. Like an athlete in competition or a scholar in pursuit of the truth, experience is the greatest teacher.Which is a substantiated opinion?One of the largest computer companies began in a garage.Small businesses are the reason America has a strong economy.Experience is the best way for entrepreneurs to learn.People are often wasteful in free market societies. You are given 10.00 mL of a solution of an unknown acid. The pH of this solution is exactly 2.18. You determine that the concentration of the unknown acid was 0.2230 M. You also determined that the acid was monoprotic (HA). What is the pKa of your unknown acid Answer question 18 or 19 in the image thank you and please help #The Fibonacci sequence is a number sequence where each #number is the sum of the previous two numbers. The first #two numbers are defined as 0 and 1, so the third number is #1 (0 + 1 = 1), the fourth number is 2 (1 + 1 = 2), the #fifth number is 3 (1 + 2 = 3), the sixth number is 5 #(2 + 3 = 5), and so on. # #Below we've started a class called FibSeq. At any time, #FibSeq holds two values from the Fibonacci sequence: #back1 and back2. # #Create a new method inside FibSeq called next_number. The #next_number method should: # # - Calculate and return the next number in the sequence, # based on the previous 2. # - Update back2 with the former value of back1, and update # back1 with the new next item in the sequence. # #This means that consecutive calls to next_number should #yield each consecutive number from the Fibonacci sequence. #Calling next_number 5 times would print 1, 2, 3, 5, and 8.class FibSeq: def __init__(self): self.back1 = 1 self.back2 = 0 def next_number(self): self.back1=self.back1+self.back2 # updated the back1 value to the next number in the series first self.back2=self.back1-self.back2 #updated the back2 value with previous back1 value yield (self.back1) # yielded the next number in the series since it is updated as back1 so yielded back1 f = FibSeq() for i in range(5): # here i have iterated the series only 5 times u can change it as you like s=f.next_number() print(next(s))# here next is an iterator function for the yield generator. #The code below will test your method. It's not used for #grading, so feel free to change it. As written, it should #print 1, 2, 3, 5, and 8. newFib = FibSeq() print(newFib.next_number()) print(newFib.next_number()) print(newFib.next_number()) print(newFib.next_number()) print(newFib.next_number()) A company makes a product that sells for $80 per unit. Variable expenses are $40.00 per unit, and fixed expenses total $200,000 per year. Its operating results for last year were as follows: Sales $ 2,080,000 Variable expenses 1,040,000 Contribution margin 1,040,000 Fixed expenses 200,000 Net operating income $ 840,000 The company president wants to add new features to the product, which will increase the variable expenses by $1.90 per unit. She thinks that the new features, combined with some increase in marketing spending, would increase this year's sales by 25%. How much could the president increase this year's fixed marketing expense and still earn the same $840,000 net operating income as last year Which two parts of this excerpt reflect Winston Churchill's belief that the Nazis could be overcome only through the collaboration of Great Britain and its alles Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (f o g)(-5)