If paint cost $24 and their is a sale for the next month, and the discount is 25% off paint, how much will the paint be after if you buy it during the sale?

Answers

Answer 1
The answer is $18 cause 25% of 24 is $6, and $24-$6 equals $18

Related Questions

a grain silo consists of a cylindrical main section and a hemispherical roof of the total volume of the silo (including the part inside the roof section) is 10,000 find.the.cylindrical part is 30 ft tall, what is the radius of the silo, correct to the nearest tenth of a foot?

Answers

The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

Learn more about  cylinders and spheres here.

https://brainly.com/question/23947152

#SPJ4

HELP NOW IT IS 6th GRADE MATH HELPPPPPP

HELP NOW IT IS 6th GRADE MATH HELPPPPPP

Answers

Answer:

S=2t

or

T=1/2 S

Is absolute value always positive on a graph?

Answers

On a graph, the absolute value of a number is always non-negative.

The absolute value of a number is defined as the distance of that number from zero on the number line. Since the distance can never be negative, the absolute value of a number is always non-negative.

This is reflected in the graph of an absolute value function. The graph of an absolute value function, |x| is a V-shape that opens upward, with the vertex of the V being the point where the absolute value function equals zero. The two arms of the V extend out from this point, going in opposite directions along the number line. The coordinates of the vertex (0,0) and the graph is always non-negative.

It's important to note that although the absolute value is always non-negative on a graph, the input value (x) can be both positive and negative. The output of the absolute value function (|x|) will always be positive.

To know more on absolute value graphs

https://brainly.com/question/14364803

#SPJ4

A flamenco dancer performs at n event at each event she dances to five songs and the each song is three minutes

Answers

At each event, the flamenco dancer takes 15 minutes to dance to five songs, and that is equivalent to a song duration of three minutes.

The flamenco dancer performs at n events, and at each event, she dances to five songs and each song is three minutes long.

Therefore, the total time taken by the flamenco dancer to dance at an event is given by;

Total time taken = 5 * 3 minutes

Total time taken = 15 minutes

To know more about minutes visit:

https://brainly.com/question/32674197

#SPJ11

Calvin and Melvin are two of Santa's elves. The number of toys they build is given by
11

+
8

11c+8m11, c, plus, 8, m where

cc is the number of candy canes Calvin eats for breakfast and

mm is the number of candy canes Melvin eats for breakfast.

Answers

In linear equation, 79 is the number of candy canes Melvin eats for breakfast.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                            The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

11c + 8m

(11)(5)+(8)(3)

=55+(8)(3)

=55+24

=79

Learn more about a linear equation

brainly.com/question/29739212

#SPJ1

in a certain country the true probability of a baby being a girl is 0.473 among the next four randomly selected births in the country, what is the probability that at least one of them is a boy

Answers

The probability of at least one of the next four randomly selected births being a boy can be calculated as approximately 0.992.

To find the probability of at least one boy, we can calculate the probability of the complementary event, which is the probability of all four births being girls.

The probability of a single birth being a girl is 0.473, so the probability of all four births being girls is :

\((0.473)^4 = 0.049\)

Therefore, the probability of at least one boy is 1 - 0.049 = 0.951. However, this probability represents the chance for any of the four births to be a boy. Since there are four opportunities for a boy to be born, we need to consider the complement of no boy being born in any of the four births, which is \((1 - 0.951)^4\)≈ \(0.992\\\). Hence, the probability that at least one of the next four births is a boy is approximately 0.992.

Learn more about probability here:

https://brainly.com/question/32004014

#SPJ11

is this right ,and if not respond quickly

is this right ,and if not respond quickly

Answers

Answer:

Q.3 It takes 490 seconds for light to get from the sun to the earth should light travel at the above-mentioned speed.

Use the function to find the image of v and the preimage of w. T(v
1

,v
2

,v
3

)=(4v
2

−v
1

,4v
1

+5v
2

),v=(2,−3,−4),w=(6,18) (a) the image of v (b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.)

Answers

(a) The image of v is (-14, -7).

(b) The preimage of w = (6, 18) is v = (2, 2).

(a) To find the image of vector v, we substitute the coordinates of v into the transformation T(v):

T(v) = (4v2 - v1, 4v1 + 5v2)

Substituting v = (2, -3, -4):

T(v) = (4(-3) - 2, 4(2) + 5(-3))

= (-14, -7)

The image of v is (-14, -7).

(b) To find the preimage of vector w, we need to solve the equation T(v) = w, where T(v) is the transformation and w is the given vector.

Substituting w = (6, 18):

(4v2 - v1, 4v1 + 5v2) = (6, 18)

From the first component equation:

4v2 - v1 = 6

From the second component equation:

4v1 + 5v2 = 18

Solving these two equations simultaneously:

4v2 - v1 = 6

4v1 + 5v2 = 18

Rearranging the first equation to solve for v2:

v2 = (6 + v1) / 4

Substituting this value of v2 into the second equation:

4v1 + 5((6 + v1) / 4) = 18

Multiplying through by 4 to eliminate the fraction:

16v1 + 5(6 + v1) = 72

16v1 + 30 + 5v1 = 72

21v1 = 42

v1 = 2

Substituting this value of v1 into the equation for v2:

v2 = (6 + 2) / 4

v2 = 2

Therefore, the preimage of w = (6, 18) is v = (2, 2).

(a) The image of v is (-14, -7).

(b) The preimage of w = (6, 18) is v = (2, 2).

To know more about coordinates, visit

https://brainly.com/question/32836021

#SPJ11

what is the common ratio of the geometric series produced by the nth order maclaurin series for h of x equals 1 over quantity 1 minus x end quantity question mark

Answers

The common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x.

The Maclaurin series for h(x) = 1/(1-x) is an infinite geometric series with the general term given by:

h(x) = x⁰ + x¹ + x² + x³ + ...

The nth order Maclaurin series for h(x) = 1/(1-x) is the sum of the first n terms of this infinite series. The common ratio of a geometric series is the ratio of any term to the previous term.

In this case, each term is the previous term multiplied by x, so the common ratio is x.

It's important to note that the Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero, in this case, when x is zero, the function becomes 1/(1-0) = 1, the function is equal to 1 when x=0.

In conclusion, the common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x. It's the ratio of any term to the previous term, and it's the same for all the terms in the series.

The Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero.

Learn more about the Maclaurin series at

https://brainly.com/question/24188694

#SPJ4

Square ABCD has vertices A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4). What is the area of square ABCD?

Answers

Answer:

that answer is b

Step-by-step explanation:

hope this helps

The area of square ABCD would be; 64 unit sq.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]    units.

Given that Square ABCD has vertices; A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4).

To find the distance from two of the vertices of the square. The distance formula is as follows;

√[(x-p)² + (y-q)²]  

A(-4.5, 4), B(3.5, 4),

D = √[(x-p)² + (y-q)²]  

D = √(3.5-(-4.5))² +(4 -(4))²

D = √(3.5-(-4.5))² +(4 -(4))²

D = √(64 + 0)

D = 8

Therefore, the side of the square is 8 units.

The area of the square = side x side

= 8 x 8

= 64 unit sq.

Learn more about distance between two points here:

brainly.com/question/16410393

#SPJ2

Let T be a linear operator defined on P3 by T(a0+a1x+a2x^2)=a0+a1(x-1)+a2(x-1)^2. The third row of the matrix associated with T with respect to base 1, x, x^2 is:

a) (0,0,1)

b) other response

c) (1,-2,1)

d) (1,0,0)

e) (-1,1,0)

Answers

The third row of the matrix associated with the linear operator T, with respect to the base 1, x, \(x^2\), is (1, -2, 1).

In order to find the matrix associated with the linear operator T, we need to determine the images of the basis vectors 1, x, and \(x^2\)under T.

Starting with the basis vector 1, we have \(T(1) = 1(1 - 1) + 0(x - 1)^2 = 0\). This means that the first entry of the third row of the matrix is 0.

Moving on to the basis vector x, we have \(T(x) = 0 + 1(x - 1) + 0(x - 1)^2 = x - 1\) .

This implies that the second entry of the third row of the matrix is 1.

Finally, for the basis vector \(x^2\), we have \(T(x^2) = 0 + 0(x - 1) + 1(x - 1)^2 = (x - 1)^2\).

Therefore, the third entry of the third row of the matrix is 1.

Combining these results, we obtain the third row of the matrix associated with T as (1, -2, 1). Therefore, the answer is (c) (1, -2, 1).

Learn more about linear operator here:

https://brainly.com/question/30891905

#SPJ11

help pls ill give extra points :))

help pls ill give extra points :))

Answers

Answer:

it is 19

Step-by-step explanation:

follow the order of operations

P

E

M

D

A

S

46, you need to do parenthesis first, which 5-2 is 3, then start from the beginning, so 3^2 is 9 then 9+3 is 12, 12x4 is 48 and then 6/3 is 2 so 48-2 is 46

Solve for x

6x - 21 = 3x + 12

Answers

Answer:

x = 11

Step-by-step explanation:

6x - 21 = 3x + 12

6x - 3x = 21 + 12

3x = 33

x = 33/3

x = 11

Olivia and Garrett each take out at $18,000 loan for a new car. Each how to repay the loan in 5 years. Olivia has interest rate 3.2% per year . Her monthly payment is $308 Because Garrett has a lower credit score he will pay an interest rate of 3.6% per year. His monthly payment will be $311. How much more will an $18,000 loan cost Garrett than Olivia.

Answers

Answer:

$180

Step-by-step explanation:

First, you have to calculate the amount that Olivia would have paid at the end of the loan which would be the result of multiplying her monthly payment for the number of payments:

Total payment= $308*(12*5)

Total payment= $308*60

Total payment= $18,480

Then, you have to calculate the amount that Garrett would have paid at the end of the loan:

Total payment= $311*(12*5)

Total payment= $311*60

Total payment= $18,660

Now, you have to calculate the difference in the amount Olivia and Garrett would have paid:

$18,660-$18,480= $180

According to this, an $18,000 loan will cost Garrett $180 more than Olivia.

WILL MARK AS BRAINLEST!!!!!!!!!!!!!!!!

WILL MARK AS BRAINLEST!!!!!!!!!!!!!!!!

Answers

Answer:

63 =  EHF

Step-by-step explanation:

We know that EHG is a right angle which is 90 degrees

FHG is 27 degrees

EHG = FHG + EHF

90 = 27+  EHF

90-27 = EHF

63 =  EHF

please do this is was due

please do this is was due

Answers

67.2

ST + SR + TR = perimeter of RST

ST = PQ × TR/QO

Explain and I’ll mark as brainliest too also worth 20 points

Explain and Ill mark as brainliest too also worth 20 points

Answers

Answer:

x = 3

Step-by-step explanation:

The equation is,

16 = 5x+1

Subtract 1 from both sides,

16-1 = 5x

15 = 5x

Divide by 5,

x = 3

Answer: X = 3 because each row had 3 1 in it and because of that each row/X would be 3.

2log5 = log9ㅁ PLEASE HELP

2log5 = log9 PLEASE HELP

Answers

Answer: \(2\log_{9}(5)=\log_{9}(25)\)

Step-by-step explanation:

Recall the following property of logarithm:

\(n\log_{a}(b)=\log_{a}(b^n)\)

So, by using the property above, it follows:

\(2\log_{9}(5)=\log_{9}(5^{2})=\log_{9}(25)\)

Eleven boat full bee line up in a row. Each bee, after the firt brag that more than twice the amount a many grain of pollen a the bee in front od them. The firt bee collect a hundred gram of pollen how many grain did the lat bee collect?

Answers

The 11th bee collected 2047 grams of pollen.

Bee Pollen Collection Calculation

This can be determined by using a simple arithmetic progression. If the first bee collected 100 grams of pollen, the second bee collected more than twice that amount, or 1002 = 200 grams.

Then, the third bee collected more than twice the amount collected by the second bee, or 2002 = 400 grams. This pattern can be continued, and the 11th bee would have collected 1002^(10) = 1001024 = 104800 grams, or 104.8 kg of pollen.

Learn more about Bee Pollen Collection Calculation here:

https://brainly.com/question/11262670

#SPJ4

Please help me solve this guys I only need the y-intercept

Please help me solve this guys I only need the y-intercept

Answers

Answer: y-intercept = (0, -18)

Step-by-step explanation:

This is a quadratic equation question, where the quadratic equation is in the standard form of [y = ax² + bx + c]

The function of [a] in the equation is to determine the maximum/minimum of the parabola. If [a] is positive, then the parabola opens upward, which is a minimum. If [a] is negative, then the parabola opens downward, which is a maximum.

There aren't any particular functions of [b], but it operates with [a] to find the axis of symmetry.

The function of [c] is the y-intercept. The easiest way to prove this is to let x be zero, then we are left with the value [c]

Solve:

Given: y=-x²+8x-18

a = -1

b = 8

c = -18

Therefore, the y-intercept is (0, -18)

Hope this helps!! :)

Please let me know if you have any questions

What's the area of a triangle and circle?

Answers

Answer:

Formula?

Step-by-step explanation:

Triangle = Area = 1/2bh

circle = Area = pi x r^2

Hope it helps

find the slope is the line

find the slope is the line

Answers

1 I think

((20 word minimum dont mind))

A manager of a deli gathers data about the number of sandwiches sold based on the number of customers who visited the deli over several days. The

table shows the data the manager collects, which can be approximated by a linear function.

Customers

104

70

111

74

170

114

199

133

163

109

131

90

Sandwiches

If, on one day, 178 customers visit the deli, about how many sandwiches should the deli manager anticipate selling?

Answers

To estimate the number of sandwiches the deli manager should anticipate selling when 178 customers visit the deli, we can analyze the given data and approximate it using a linear function.

By observing the table, we notice that the number of sandwiches sold varies with the number of customers. This indicates a relationship between the two variables.

To estimate the number of sandwiches, we can fit a line to the data points and use the linear function to make predictions. Using a statistical software or a spreadsheet, we can perform linear regression analysis to find the equation of the best-fit line. However, since we are limited to text-based interaction, I will provide a general approach.

Let's assume the number of customers is the independent variable (x) and the number of sandwiches is the dependent variable (y). Using the given data points, we can calculate the equation of the line.

After calculating the linear equation, we can substitute the value of 178 for the number of customers (x) into the equation to estimate the number of sandwiches (y).

Please provide the data points for the number of sandwiches sold corresponding to each number of customers so that I can perform the linear regression analysis and provide a more accurate estimate for you.

Learn more about selling here

https://brainly.com/question/29136043

#SPJ11

5x4> 12
AND 12x +5 ≤-4

Answers

The solution for x is x ≤ -3/4.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

To solve for x in the inequalities:

5x - 4 ≥ 12 and 12x + 5 ≤ -4

We'll solve each inequality separately:

5x - 4 ≥ 12

Adding 4 to both sides, we get:

5x ≥ 16

x ≥ 16/5

So the first inequality is solved for x as x ≥ 16/5.

Now, 12x + 5 ≤ -4

Subtracting 5 from both sides, we get:

12x ≤ -9

x≤ -9/12

x≤ -3/4

The only values of x that satisfy both inequalities are those that are less than or equal to -3/4.

Therefore, the solution for x is x ≤ -3/4.

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ9

The monthly water charge for a farmer based on his consumption can be calculated using this function:
f⁡(x)= {5.50 + 0.50⁢x
{8.00 + 1.00⁢ (x−5)⁢
i⁢f⁡ 0 ≤ x < 5
i⁢f⁡ x > 5 where x is every 100 gallons of water consumed.
Using limits, find the bill that a farmer can expect to pay if he consumes 500 gallons of water. Also, check whether there is a jump in the pricing structure if consumption exceeds 500 gallons.

Answers

The function for calculating the monthly water charge for a farmer based on his consumption is given by:

f(x) = {5.50 + 0.50x, if 0 ≤ x < 5{8.00 + 1.00 (x−5),

if x > 5where x is every 100 gallons of water consumed.

The amount of water consumed by the farmer is given as 500 gallons.

We need to find out the monthly bill that the farmer can expect to pay.

Using limits, we can calculate the monthly bill as follows:

For 0 ≤ x < 5, f(x) = 5.50 + 0.50x

Using limits, f(5) = lim {f(x)}

as x approaches 5 from the left= lim {5.50 + 0.50x}

as x approaches 5 from the left= 5.50 + 0.50(5)= 8.00

For x > 5, f(x) = 8.00 + 1.00 (x−5)

Therefore, the monthly bill for consuming 500 gallons of water is given by:

For 0 ≤ x < 5, the bill = f(x) = 5.50 + 0.50(5) = $8.00

For x > 5,

the bill = f(x) = 8.00 + 1.00 (x−5) = 8.00 + 1.00 (500/100 - 5) = $13.00

Therefore, the farmer can expect to pay a monthly bill of $13.00 if he consumes 500 gallons of water. Yes, there is a jump in the pricing structure if the consumption exceeds 500 gallons as the price increases from $8.00 to $13.00 per month.

To know more about consumption visit :

https://brainly.com/question/25411156

#SPJ11

Factor the expression below.

x2 + 18x + 81

Answers

The Answer is (x+9)^2

Answer:

-81/20

Step-by-step explanation:

Eric spent $21.82, including sales tax, on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax was $1.03. Fill in the table with the correct prices.

Answers

Answer:

each sock is: 2.43

each jersey is: 6.75

Step-by-step explanation:

Total Sock Amount: 7.29

Total Jersey Amount: 13.50

Total Tax Amount: 1.03

Total Cost: 21.82

If your friend skied for 1 hour, how many calories would she burn

If your friend skied for 1 hour, how many calories would she burn

Answers

Answer:

480 calories

Step-by-step explanation:

(240/30)=(400/50)=(x/60)

Therefore

(240/30)=(x/60)

8=(x/60)

8*60=x

480=x

FOR 15 POINTS quick i need to know what this is 3⋅(612610)

Answers

that dot is multiplication
So we’re going to multiply 3 and 612610 which would give you 1,837,830.

Use the rules for significant figures to find the answer to the addition problem

S = 20.4 + 12 + 18.17 + 1.403.

Answers

The sum of the values, taking into account significant figures, is 52.0.

To find the sum of the values, we need to consider the rules for significant figures.
In the given addition problem, we have the following values: 20.4, 12, 18.17, and 1.403.
First, we need to align the decimal points for addition:
      20.40
     + 12.00
     + 18.17
     +  1.403
   __________
       52.973
Next, we determine the number of significant figures for each value.
The value 20.4 has three significant figures, as the trailing zero after the decimal point indicates precision.
The value 12 has two significant figures.
The value 18.17 has four significant figures.
The value 1.403 has four significant figures.
When adding or subtracting values, we align the decimal points and round the result to the least precise value. In this case, the value 12 has the least number of decimal places, so we round the sum to two decimal places:
52.973 ≈ 52.97
Considering the significant figures, we round the sum to the least number of significant figures, which is two:
52.97 ≈ 53
Therefore, the sum of the given values, accounting for significant figures, is 52.0.

Learn more about value hhere:

https://brainly.com/question/30145972

#SPJ11

Other Questions
E7: Please show complete solution and explanation. Thankyou!7. a) Derive the equation for the work done in an isothermal, reversible compression of one mole of a gas obeying the van der Waals equation of state. b) Calculate the work in joules when 2 moles of e *200 POINTS, ANSWER A.S.A.P* (Due in 20 minutes)Why did European Explorers want to find a sea route to Asia? The definition of market equilibrium states that at the _______________, the quantity of labor demanded by employers will equal the quantity supplied.A. efficiency wageB. equilibrium wageC. sticky wageD. natural rate of unemployment i need helppppppppppppppppppppppppppppppppppppppp 21(2-y)+12y=44 find y Can someone plzzz helppp meeeee Computing Cash Paid to SupplierDirect MethodPark Place Company reported cost of goods sold of $280,000 for the year 2020. Park Place also reported the following amounts on its balance sheets.Jan. 1, 2020 Dec. 31, 2020Inventory $50,000 $55,000Accounts payable 30,000 29,000What amount would be reported as cash paid to suppliers in the operating activities section of the statement of cash flows using the direct method?Note: Do not use a negative sign with your answer. How do response mechanisms in target cells differ for water-soluble and lipid-soluble hormones? Brain cells, which depend on glucose for energy, use the glucose transporter GLUT3, which has a Km of 1.5mM. Liver cells, which store glucose (as glycogen) after a meal and release glucose between meals, use the glucose transporter GLUT2, which has a Km of 15mM. Calculate the rate (as a % of Vmax) of glucose uptake in brain cells and in liver cells at circulated glucose concentrations of 3mM (starvation), 5 mM (normal levels), and 7mM (after a carbohydrate-rich meal). Use this rearranged M-M equation. how did the media help in execution of the plans? in the story is he living or is he dead -Mark Twain The net shown forms for a triangular prism what is the volume? Suppose you are deciding how many pounds of spaghetti ( x), and how many blocks of pecorino Romano cheese to buy (y). Your utility over these two products is u(x,y)=x 3 y 5 . Let the price of spaghetti be p x =$3, and the price of cheese be p y =$5. Your budget is $40. (a) Why is a Cobb-Douglas utility function (like the one we have for this question) an appropriate way to represent preferences over spaghetti and cheese? (b) Draw a graph showing how we would find the optimal quantities for spaghetti and cheese. (You do not need to do any math for this step.) (c) Calculate the optimal quantities of spaghetti and cheese. (d) Now suppose the price of cheese doubled to p y =$10. How would your consumption of spaghetti and cheese change? (e) What is your demand curve for spaghetti, and your demand curve for cheese? When cooperation among group members will be critical to a new workgroup's success, you might do this to help the group succeed Task redesign These programs focus on providing a work environment conducive to satisfying individual needs Directly altering jobs to be more efficient. Team building If you wanted to include employees' ideas in the change process, which tool would you be most likely to use? Technological change Survey feedback Task redesign Why was my post deleted? details: 70 points for a sheet of 7 english exercises post description: i offer 70 points for this assignment A serving portion is usually the equivalent to one serving per package or container.Please select the best answer from the choices providedTrueFalse in traditional cow-calf operations, genetics are blended to increase heterozygosity and efficiency of the system. true or false? In the context of proposed rules, an agency is required under the _____ to publish a notice in the publications of those trades and industries that will be affected by a proposed rule. An economic and political system in which the government owns and controls all goods and means of production, and private property is eliminated.a. Trueb. False (PLEASE ANSWER ASAP, WILL MARK BRAINLIEST) Analyze the given diagram of the carbon cycle below.Part 1: Which process does arrow F represent?Part 2: Explain how matter is conserved during the process.Part 3: Justify why this process is a recycling of carbon in the carbon cycle.Use complete sentences to explain your answer. What are the 3 main principles of sustainability?