I do not understand what is going on for this question

I Do Not Understand What Is Going On For This Question

Answers

Answer 1

(x,y,z)=(19,14,3)

What is equation matrix and vector?This means that by dividing the inverse of the A matrix by the B matrix, we may calculate the values of x, y, and z (the X matrix).An arrangement of numbers, occasionally expressions and symbols, in rows and columns is called a matrix. Quantum mechanics, optics, mathematics, and other mathematical functions are all solved using matrix formulas.It's not nearly as difficult as it sounds; all you have to do is multiply the rows by the columns and add up the components.In geology, seismic surveys are carried out using matrix technology. They are employed in the production of graphs, statistics, calculations, and scientific investigations and research in a range of fields.A matrix is a collection of numbers, while a vector is a list of numbers that can be in either a row or a column (one or more rows, one or more columns).

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Related Questions

The two triangles shown are similar. Find the value of.
a
b
2.1
1.4

The two triangles shown are similar. Find the value of.ab2.11.4

Answers

3/2 because the larger triangle is an enlargement of the smaller one meaning they are directly proportional

need help 5 stars and good rating for math problem

need help 5 stars and good rating for math problem

Answers

Answer: the 20 ounce box cost less per ounce

Step-by-step explanation:

What is the total distance from (-4,-6) (5,-6) in miles

What is the total distance from (-4,-6) (5,-6) in miles

Answers

Answer:

9 miles

Step-by-step explanation:

y axis is the same so we can ignore that.

x1 = -4 and x2 = 5

|x1 - x2| = |-5-4| = 9

A circle has radius of 3 yards. What is its area to the nearest square yard?

Answers

Answer:

88.7364 yards ²

Step-by-step explanation:

the equation for area of a circle is A= π r² .. so ud just fill in the equation !!

i hope this helps and have a great day :)

Fill in the missing numbers to complete the linear equation that gives the rule for this table.

x y
4 –39
5 –40
6 –41
7 –42


y =__ x −__

Answers

The linear equation that represent the table is y = -x - 35

How to find a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1.

The linear equation of the table can be represented in slope intercept form as follows:

y = mx + b

where

m = slopeb = y-intercept

Hence,

m = -40 + 39 / 5 - 4

m = - 1 / 1 = -1

Hence, using (4, -39)

y = -x + b

-39 = -4 + b

-39 + 4 = b

b = -35

Therefore,

y = -x - 35

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Pls help me with my missing work

Pls help me with my missing work

Answers

Answer:

0.07=0.70 is not true

Step-by-step explanation:

0.70 is greater than the value 0.07.

Answer:

D.) 0.07 = 0.70

Step-by-step explanation:

This is NOT true because this should be 0.07 < 0.70 because 70 is greater than 7

which inequality is represented in the graph below​

which inequality is represented in the graph below

Answers

Answer:

1. y ≥ -3x + 4

Step-by-step explanation:

i graphed all of them on a graphing calculator and 1 was the only one that matched up

Find the angle 1 in this photos

Find the angle 1 in this photos
Find the angle 1 in this photos

Answers

Answer:

2. m∠1 = 129°

3. m∠1 = 37°

Step-by-step explanation:

We know that the sum of all interior angles in a triangle adds up to 180°.

2. To find measure 1 for problem 2, we can see that ∠1 is a supplementary angle with the interior angle in side

180°-(67°+62°)

180°-129°

51°

Now that we found the missing interior angle, we can find ∠1

180°-51° = 129°

m∠1 = 129°

3. Same thing as well for this problem except we're going to be going reverse we need to find the supplementary angle first, then we can find m∠1.

180°-152° = 28°

Now that we found the interior angle, we can find m∠1

180° - (115°+28°)

180°-(143°)

37°

m∠1 = 37°

Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100

Answers

Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

Input 1,2,3,4,5, n output 7,9,11,13, ?please help me find the linear function!

Answers

Answer:

f(x) = 2x + 5.

Step-by-step explanation:

The input values are your x-coordinates, while the output values are your y-coordinates. You could simply select two pairs of coordinates and solve for the slope, using the formula:

m = (y2 - y1)/(x2 - x1)

Let (x1, y1) = (1, 7)

(x2, y2) = (2, 9)

Substitute these values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = (9 - 7) / (2 - 1)

m = 2/1 = 2

Therefore, the slope of the line is 2.

Next, we need to determine the y-intercept. The y-coordinate (b) of the point, (0, b ) is the y-intercept of the line where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

Using the slope, m = 2, and one of the given points, (1, 7), substitute these values into the slope-intercept form [f(x)= mx + b]to solve for the y-intercept, b:

f(x) = mx + b

7 = 2(1) + b

7 = 2 + b

Subtract 2 from both sides to solve for b:

7 - 2 = 2 - 2 + b

5 = b

Therefore, the y-intercept, b = 5.

Given the slope, m = 2, and the y-intercept, b = 5:

The linear function is: f(x) = 2x + 5.

Please mark my answers as the Brainliest, if you find this helpful :)

Answer:

y=2x+5

Step-by-step explanation:

help me pls w dis question i need help

help me pls w dis question i need help

Answers

Answer:

A:10B:  \(\frac{A}{2}\)

Step-by-step explanation:

[] Let A be Amy, B be Bill, and C is Cara.

-> Amy's score was ten times Bill's score

A * 10 = B or 10A = B

-> Cara's score was half of Amy's score

C = A * \(\frac{1}{2}\)  or C = \(\frac{A}{2}\)

[] The ratio is A to B to C because it asks for Amy to Bill to Cara. We can use our numbers from above to solve. This problem seems to revolve around Amy, so she can be set to A.

-> A = A

-> B = 10A

-> C =  \(\frac{A}{2}\)

A:10B:  \(\frac{A}{2}\)

Have a nice day! - hopefully this is correct, different math classes look for different things.

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

I need this asap plsss help me!!!!!​

I need this asap plsss help me!!!!!

Answers

If the diameter is d = 8, then we divide that in half to get the radius of r = 4.

If the radius is r = 9, then we double it to get the diameter of d = 18

The formulas are:

radius = diameter/2diameter = 2*radius

I'll let you determine the others.

Answer:

Step-by-step explanation:

Diameter is twice the radius.  d = 2*r

Radius is half the diameter r = d÷2

 1) d = 8

      r = 8÷ 2

      r = 4

2) r = 9

   d = 2*r

       = 2*9

   d = 18

3) r = 24

   d = 24*2 =48

4) d = 36

   r = 36 ÷2 = 18

5) d = 52

      r = 52÷2 = 26

The radius of the base of a cylinder is expanding at a constant rate of 3 mm/min. If the height of
the cylinder is a constant 20 mm, find the rate at which the VOLUME of the cylinder is changing at the
moment when the radius of the base of the cylinder is 10 mm. Also find the rate at which the SURFACE
AREA of the cylinder is changing at this same moment.
(V = r²h, SA=2лrh+2rr²)

I’m getting 1800pi mm^3/min for volume and 360pi mm^2/min for surface area but I’m not sure if it’s correct

Answers

The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

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1 a tobacco company produces blends of tobacco, with each blend containing various proportions of turkish, domestic, and other tobaccos. the proportions of turkish and domestic in a blend are random variables with joint density function (x

Answers

(a) 0.5, (b) f_Y(y) = 12y(1-y), (c) 9/128, (d) 7/36 - Probability calculations using joint density function.

(a) To find the Probability that the Turkish tobacco represents over a portion of the mix, we want to incorporate the joint thickness capability over the district where x > 0.5 and y < 1 - x. This gives:

P(X > 0.5) = ∫[0.5,1]∫[0,1-x] 24xy dy dx = 0.5

Consequently, the Probability that the Turkish tobacco represents over around 50% of the mix is 0.5.

(b) To find the negligible thickness capability for the extent of homegrown tobacco, we really want to incorporate the joint thickness capability over all potential upsides of Turkish tobacco:

f_Y(y) = ∫[0,1-y] 24xy dx = 12y(1-y) ; 0 < y < 1

Thusly, the peripheral thickness capability for the extent of homegrown tobacco is f_Y(y) = 12y(1-y).

(c) To find the Probability that the extent of Turkish tobacco is under 1/8 given that the mix contains 3/4 homegrown tobacco, we really want to utilize Bayes' standard:

P(X < 1/8 | Y = 3/4) = P(X < 1/8 ∩ Y = 3/4)/P(Y = 3/4)

We can find the numerator by coordinating the joint thickness capability over the district where x < 1/8 and y = 3/4:

∫[0,1/8] 24xy dx = 27/128

To find the denominator, we coordinate the joint thickness capability over all potential upsides of Turkish tobacco when y = 3/4:

∫[0,1/4] 24xy dx = 3

Thusly, the contingent Probability is:

P(X < 1/8 | Y = 3/4) = (27/128)/3 = 9/128

(d) To find the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco, we want to incorporate the joint thickness capability over the area where y > 2x and x + y < 1. This gives:

P(Y > 2X) = ∫[0,1/3]∫[2x,1-x] 24xy dy dx + ∫[1/3,1/2]∫[2x,1-x] 24xy dy dx

= 7/36

Accordingly, the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco is 7/36

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The complete question is:

A tobacco company produces blends of tobacco, with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random variables with joint density function (X = Turkish and Y = domestic) 24xy ;0< x, y < 1, x +y<1 fx.y(1,7) (2) ; otherwise (a) (1 point) Find the probability that in a given box the Turkish tobacco accounts for over half the blend. Page 2 (b) (1 point) Find the marginal density function for the proportion of the domestic tobacco. (c) (1 point) Find the probability that the proportion of Turkish tobacco is less than 1/8 if it is known that the blend contains 3/4 domestic tobacco. (d) (2 points) Find the probability that the proportion of domestic tobacco is more than twice the proportion of the Turkish tobacco.

A mammogram is used to screen women for breast cancer. False positives are tests that incorrectly show a positive result. 85% of positive mammograms are actually false positives. If 1,000 women receive mammograms, and 200 are told there is an abnormal finding, how many women are likely to actually have breast cancer?

Answers

Answer:

30

Step-by-step explanation:

200 x .15   (1-.85 = .15)

30

n Circle E, if measure of arc AB = 140, find the m

n Circle E, if measure of arc AB = 140, find the m

Answers

Answer:

noob

Step-by-step explanation:

lol imagine not knowing, u noob

A one-quart container of tomato soup is shaped like a rectangular prism. A soup bowl shaped like a hemisphere can hold 8 oz of liquid. How many bowls will the soup container fill? Recall that 1 quart is equivalent to 32 fluid ounces (oz).

Answers

Answer:

4 bowls

Step-by-step explanation:

Hope this helps

Answer:

Yes the other person is right

Step-by-step explanation:

Mr. Martinez has a 16-ounce Starbucks drink. He drinks 10 ounces. What is the percent of ounces Mr. Martinez has left of his drink?

Answers

well, he has left only 6 oz.

now, if we take the 16(origin amount) to be the 100%, what is 6 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 6& x \end{array} \implies \cfrac{16}{6}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 8 }{ 3 } ~~=~~ \cfrac{ 100 }{ x }\implies 8x=300\implies x=\cfrac{300}{8}\implies x=\cfrac{75}{2}\implies x=37.5\)

Please slove this math.3 number math

Please slove this math.3 number math

Answers

The value of x and y based on the equation will be 3 2/3 and 4 respectively.

How to compute the values?

The equation given in the question is represented below:

x/5 + y/3 = 3 ..... equation i

3x - 2y = 3 ...... equation ii

Equation i can be rewritten as 3x + 5y = 15

The equations will be:

3x + 5y = 15

3x - 2y = 3

Subtract equation ii from i

3y = 12

Divide both side by 3

3y/3 = 12/3

y = 4

Put y = 4 into equation ii

3x - 2y = 3

3x - 2(4) = 3

3x - 8 = 3

3x = 3 + 8

3x = 11

x = 11/3 = 3 2/3

Therefore, the value of x and y based on the equation will be 3 2/3 and 4 respectively.

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Which fraction is NOT equivalent to 20%?* 0 20/100 04/20 6/40 O 2/10​

Answers

Answer:

6/40

Step-by-step explanation:

its 6/40 because 6 is not 20 percent of 40.

Which of these ordered pairs is a solution to the inequality?


1/4x ≤ 7/3y +2

Responses


A (80, 6)

B (48, 9)

C (40, 3)

D (2, –6)

Please show step by step as I need to learn how to do these problems. Thank you

Answers

Answer: D

Step-by-step explanation:

To determine which ordered pair is a solution to the inequality, we can substitute the values of x and y into the inequality and check if it is true.

Let's start with ordered pair A (80, 6):

1/4x ≤ 7/3y + 2

1/4(80) ≤ 7/3(6) + 2

20 ≤ 14 + 2

20 ≤ 16

This is not true, so ordered pair A is not a solution to the inequality.

Now let's try ordered pair B (48, 9):

1/4x ≤ 7/3y + 2

1/4(48) ≤ 7/3(9) + 2

12 ≤ 21 + 2

12 ≤ 23

This is also not true, so ordered pair B is not a solution to the inequality.

Next, let's try ordered pair C (40, 3):

1/4x ≤ 7/3y + 2

1/4(40) ≤ 7/3(3) + 2

10 ≤ 7 + 2

10 ≤ 9

This is false, so option C is not a solution to the inequality.

Finally, we have option D: (2, -6)

1/4(2) ≤ 7/3(-6) + 2

1/2 ≤ -14 + 2

1/2 ≤ -12

This is true, so option D is a solution to the inequality.

Therefore, the answer is D: (2, -6).

Using the formula developed by Dr's Mosteller, doctors can approximate the Body Surface Area TIW (BSA) of an adult The formula is written as BSA where H is the Height in cm and W is 3800 the Weight in kg: If the BSA of a certian adult is 96 whose height Is 210 cm. About how much does this adult weight? The adult weights (Round t0 decimal place )

Answers

From the body surface area formula, the adult weight is 508.97.

The Mosteller formula takes the square root of the height multiplied by the weight divided by 3600

The Body Surface Area TIW (BSA) of an adult.

The formula is written as BSA

where H is the Height(cm), Weight is 3800(kg)

BSA=96

Height=210cm

BSA=\(\sqrt{\frac{H*W}{3600} }\)

\(96=\sqrt{\frac{210*W}{3600} \\\)

\(96=\frac{\sqrt{210*W}}{\sqrt{3600} } \\96=\frac{14.49*\sqrt{W}\\}{61.64}\\ 96=\frac{\sqrt{W} }{0.235}\\ 96*0.235=\sqrt{W}\\ 22.56=\sqrt{W}\\\)

Squaring on both sides

508.97=W

Therefore, the adult weight is 508.97(kg).

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KMZ~ KDH; find z.
F
21
D
6x + 3
E 17
G
8x-1
C

KMZ~ KDH; find z.F21D6x + 3E 17G8x-1C

Answers

Answer:

x=8

Step-by-step explanation:

Triangle DCE is similar to EGF

CE/EF=DE/EG

Substitute

(8x-1)/21=(6x+3)/17

Cross multiply

(8x−1)*(17)=(6x+3)*(21)

136x−17=126x+63

Subtract 126x from both sides

10x−17=63

Add 17 to both sides.

10x−17+17=63+17

10x=80

Divide both sides by 10.

x=8

0.4x10

Help•••••••••••••

0.4x10 Help

Answers

Answer: 4

Step-by-step explanation:

multiplying by 10 = move over 1 10s place so 0.4 * 10 = 4

Answer:

4

Step-by-step explanation:

 0.4 x 10 = 4.0

Bennett Griffin and Chula Garza organized Cole Valley Book Store as a corporation; each contributed $71,500 cash to start the business and received 5,600 shares of common stock. The store completed its first year of operations on December 31, current year. On that date, the following financial items for the year were determined: December 31, current year, cash on hand and in the bank, $69,250; December 31, current year, amounts due from customers from sales of books, $43,500; unused portion of store and office equipment, $72,500; December 31, current year, amounts owed to publishers for books purchased, $12,400; one-year note payable to a local bank for $3,200. No dividends were declared or paid to the stockholders during the year.

Required:
Complete the following balance sheet as of the end of the current year. Some information has been given below.
What was the amount of net income for the year? (Hint: Use the retained earnings equation [Beginning Retained Earnings + Net Income − Dividends = Ending Retained Earnings] to solve for net income.)

Answers

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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Subtract 4 from 8. Then, multiply by z.

Answers

Answer:

Kinda vague but here...

Step-by-step explanation:

z*(8-4)
z*(4)
4z

A
B
C
D

Pick a letter

AB C DPick a letter

Answers

Answer: D

Step-by-step explanation:

1 in.=1488 milesx5=7440 miles.

Area= pi x r^2

=pi x (7440)^2 or option D.

Hope this helps :)

help
What are the solutions to the following system of equations? y = x2 + 8x + 12 3x + y = −6

Answers

The solutions for the given system of equations are (-9, 33) and(-2, 12).

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=x²+8x+12 -----(i) and 3x+y=-6 -----(ii).

Here, y=-6-3x in the equation (i), we get

-6-3x=x²+8x+12

x²+8x+12+6+3x=0

x²+11x+18=0

Splitting middle term method, we get

x²+9x+2x+18=0

x(x+9)+2(x+9)=0

(x+9)(x+2)=0

x=-9 or x=-2

Substitute x=-9 in the equation (ii), we get

y=-6-3(-9)

y=33

Substitute x=-2 in the equation (ii), we get

y=-6-3(-2)

y=12

So, solutions are (-9, 33) and(-2, 12)

Therefore, the solutions for the given system of equations are (-9, 33) and(-2, 12).

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Aircraft A has 105 more seats than aircraft B. If their total number of seats is 519, find the number of seats for each aircraft.

Aircraft A has how many seats?

Answers

Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

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Which linear function has the same y-intercept as the one that is represented by the graph?

On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.

Answers

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Julisse read 6 times as many pages as Jordan in the reading contest. If they read in total 364 pages, how many pages did Julisse read? OPTIONS:611312119234 Persson and sharp classify the gains from the division of labor in one of two categories. which cannot be transferred from person to person but have to be learned anew by each worker? Which of the following is a skill required for leisure service managers?dancingskiingaccountinggolf How many terms does the expression r 9 + 5.5 have? PythonAssignment Description Write a program that calculates the amount of change to be returned from a vending machine using Harry Potter currency. In the wizarding world of Harry Potter, the currency system is not based off dollars and cents, but instead 3 different coins: knuts, sickles, and galleons. The conversion values for these coins in knuts are as follows: 1 knut = 1 knut 1 sickle = 29 knuts 1 galleon = 493 knuts The knut is similar to a cent (or penny) in U.S. currency, and the sickle is similar to a U.S. quarter. One dollar equals 4 quarters or 100 cents. In Harry Potter currency, one galleon equals 17 sickles or 493 knuts. The vending machine dispenses 4 options: Assortment of candy for 11 sickles and 7 knuts, Butterbeer for 2 sickles, Daily Prophet for 5 knuts, and Quill for 6 sickles. The vending machine accepts galleons, sickles, and knuts for payment.Step 1) Display the following to the user: Please select an item from the vending machine: a) Assortment of Candy for 11 sickles and 7 knuts b) Butterbeer for 2 sickles c) Quill for 6 sickles d) Daily Prophet for 5 knutsStep 2) Get input form the user using the following prompt: Choice:Step 3) Have the user enter in the number of galleon, sickles and knuts. When testing, the CTA will only enter in an integer value. Please pay by entering the number of each coin Number of galleons: 1 Number of sickles: 0 Number of knuts: 0Step 4) Calculate the cost of the item in knuts and put that into a variable. Calculate the payment in knuts and put that into a variable. Print out the cost and the payment. Here is an example: Cost in knuts: 326 Payment in knuts: 493Step 5) If the payment is less than the cost, then print a message to the user saying that the user will not receive their item. Here is an example: You did not enter enough money and will not receive the Quill ITP 115 2021-09-04 Page 3 of 6Step 6) If the payment is enough, then calculate the change in knuts. Print the item and the change in knuts. Using the division and modulo operators, calculate the change that will be dispensed in galleons, sickles, and knuts. Print the number of each coin for the change. Feel free to create variables to hold information. o You must dispense change in the largest possible coins. For example, if an item costs 326 knuts and the payment is one galleon (493 knuts), the change is 167 knuts. You may not simply return 167 knuts; it should be 5 sickles, and 22 knuts. o Example of output: You purchased the Assortment of Candy Your change is 167 knuts You will be given Galleons: 0 Sickles: 5 Knuts: 22Step 7) Your code must handle the user entering upper case and lower case letters. For example, the user can enter b or B to select a Butterbeer.Step 8) Your code must handle the user entering an invalid menu choice. If the user enters something other than the choices on the menu, then tell them they have entered an invalid option. Since we have not covered how to repeat code yet, just pick an option for them. Here is an example: You entered an invalid choice, thus the item selected is the Quill James believes that all college professors are irritable, impatient, and uninterested in whether students learn. His belief is an example of __________. 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