What is the value of the expression?
A 76
B 25
C -3
D-8

Answers

Answer 1
C tell me if I’m wrong

Related Questions

The circle graph shows the visitors at Ms. Chompson’s bakery last month. There were a total of 360 visitors last month. Show your work to find the answers below. Give a number, not the percent.

a) How many visitors last month were age 18 and under? ____________


b) How many were between the ages of 19-44? _____________

The circle graph shows the visitors at Ms. Chompsons bakery last month. There were a total of 360 visitors

Answers

Answer:

15

Step-by-step explanation:

378 & 342



-25



Explanation:
Sana nakatulong ako

Which system of linear inequalities is represented by the
graph?

Which system of linear inequalities is represented by thegraph?

Answers

Answer:

C.

Step-by-step explanation:

Easiest and fastest way to determine your answer is to graph the systems of inequalities on a graphing calc. Once you do so, you should be able to see that Choice C is the correct answer.

4.5 multiplied by x = 81. what represents x?

Answers

18 because its 81. divided by 4.5 which is 18
18x4.5 = 81
18 represents x
10x4.5=45
8x4.5=36
45+36=81
Answer is 18

V to the power of 2 = 47

(I'M IN CLASS HELP THERES 6 MINUTES LEFT)

Answers

Answer:

Well even though you dont need it now the answer is v = 42 squared

Step-by-step explanation:

I used g00g1e like a normal person would

V^2 = 47

In order to isolate V, we must square root each side.

V^2√2 = 47√2

V = 6.855654600401044 or 6.9 rounded

Hope this helped!

what is the equation of the blue line?

what is the equation of the blue line?

Answers

Answer: y = 3x + 2

Step-by-step explanation:

\(\dfrac{x-x_{1} }{x_{2} -x_{1} } =\dfrac{y-y_{1} }{y_{2} -y_{1} }\\\)

Let's choose two arbitrary points on the graph.

For example, let these be points with coordinates (1, 5) and (2, 8).

Substitute the coordinates of these points into the above formula and derive the equation of a straight line.

\(\dfrac{x-1}{2-1} =\dfrac{y-5}{8-5}\\\\\dfrac{x-1}{1} =\dfrac{y-5}{3}\\\\3(x-1)=y-5\\3x-3=y-5\\y=3x-3+5\\y=3x+2\)

hope this helps! feel free to clarify
what is the equation of the blue line?

Two small circles are drawn that touch each other, and both circles touch the large circle. 7 in. 7 in. Which is closest to the area of the shaded region?

*the photo is much better*
Please Double check you're work​

Two small circles are drawn that touch each other, and both circles touch the large circle. 7 in. 7 in.

Answers

Answer:

308 inches

Step-by-step explanation:

since the two radiuses of the small circles become the diameter of the big circle, you can substitute 14 into the equation A= pi r^2 to get A=pi(14)^2, which gets you 615 inches. But then you have to subtract the area of two of the small circles, which if you add them two up, you get 307.87 inches. Then, you subtract the area of the big circle with the two small circles to get 307.87, which is closest to 308 inches.

Answer:

Area of shaded region = 307.88 inch ^2

= 308 inch^2

Step-by-step explanation:

Radius of smaller circle = 7 inch radius

Area of SC = π * 7^2

= 153.93804

= 153.93 inch^2

2 x 7 = 14   (for main radius as two circles touching each other inscribed

would translate as R = 2r.

Area of two circles = 2 * 153.93804 = 307.87608

= 307.88 inch^2

Area of whole large circle

Area LC  = π * 14^2

= 615.75216

Area of shaded region

Area of Sh Region = 615.75216 - 307.87608 =307.87608

= 307.88 inch ^2

A movie theature offers two containers. One container is a traiangular prism with a base area of 12cm and 19 cm of height, for $6.75. The other is a rectangular prism with a base area of 8cm and a height of 15cm, for $6.25. Which container is the better value? Use 3.14 as an approximation for pie

Answers

Answer:

rectangular container

Step-by-step explanation:

Triangular prism area: A = 1/3 * base area * height

                                        = 1/3 * 12 * 19

                                        = 76 cm²

Rectangular prism: A = base area * height

                                   = 8 * 15

                                   = 120 cm²

The rectangular container has a better value because it has a bigger area and is cheaper.

Hope this helps!

Answer:

rectangular container

Rectangular container

Step-by-step explanation:

True or False: The following equation has 'no solutions'.

True or False: The following equation has 'no solutions'.

Answers

Answer:

true

Step-by-step explanation:

Please help with these questions! Giving 100 points + brainliest.

Please help with these questions! Giving 100 points + brainliest.
Please help with these questions! Giving 100 points + brainliest.

Answers

Answer:

1. Pythagorean theorem

2. Square root of 73cm

3. A leg

4. The hypotenuse

5. 9

Hope this helps :)

blank 1: find h by using the area of a triangle
blank 2:since h =4 use the v to find the volume
blank 3: the volume is aprox 113.04 cm^3

The members of a film crew are at least 75 miles from their camp and must carry equipment back to camp before a storm arrives. The storm is scheduled to begin in 24 hours. They plan to travel as far as possible by truck and then walk the rest of the way. The truck can travel at a rate of 10 miles per hour through the terrain, and the team can travel 2 miles per hour on foot. Which system represents the number of hours the crew can travel by truck, x, and on foot, y, to reach camp before the storm? x + y < 24 2x + 10y ≥ 75 x + y > 24 2x + 10y ≥ 75 x + y < 24 10x + 2y ≥ 75 x + y > 24 10x + 2y ≥ 75

Answers

Answer: B

Step-by-step explanation:

The Answer yo this question would be (B)

PLEASE ANSWER I NEED HELPPPPPPPP Graph of polygon ABCDE with vertices at negative 1 comma negative 4, negative 1 comma negative 1, 3 comma negative 1, 3 comma negative 4, 1 comma negative 6. A second polygon A prime B prime C prime D prime E prime with vertices at negative 11 comma negative 4, negative 11 comma negative 1, negative 15 comma negative 1, negative 15 comma negative 4, negative 13 comma negative 6. Determine the line of reflection. Reflection across the x-axis Reflection across x = −6 Reflection across the y-axis Reflection across y = −6

Answers

I apologize for the confusion. Let me explain:

To determine the line of reflection, you can look at the coordinates of the corresponding vertices of the two polygons.

If you compare the coordinates of point A and A' (the corresponding vertices of the two polygons), you will notice that the x-coordinates are the same but the y-coordinates are different. Specifically, A has a y-coordinate of -4 and A' has a y-coordinate of -11.

This means that the line of reflection must be a horizontal line that passes through the midpoint between -4 and -11. The midpoint is (-4+(-11))/2 = -7.5. Therefore, the line of reflection is the horizontal line that passes through (-7.5, 0) on the coordinate plane, which is the y-axis.

helpppppp plzzzzzzzz

helpppppp plzzzzzzzz

Answers

Answer:

\(3x + 5 = 23 \\ 3x = 23 - 5 \\ 3x = 18 \\ divide \: both \: sides \: by3 \\ x = 6\)

hope that will help you

Answer:

\(6.\)

Step-by-step explanation:

\(3x + 5 = 23 \\ 3x = 23 - 5 \\ 3x = 18 \\ x = 6.\)

Chung-Li is making cupcakes. He made the table below showing the amount of each ingredient needed for a certain number of cupcakes. Chung-Li plotted the data using the number of slices of strawberry as the x-coordinate and the number of slices of banana as the y-coordinate. He then drew a line to connect the points. Which point could be on the line that Chung-Li drew?

Chung-Li is making cupcakes. He made the table below showing the amount of each ingredient needed for

Answers

Answer:

C. (2,3)

Step-by-step explanation:

4 to 6 = 2 to 3

please help me i will give brainliest to first person to anwser.

please help me i will give brainliest to first person to anwser.

Answers

A. 1607.7

First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
please help me i will give brainliest to first person to anwser.

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

WHO EVER GETS THIS ANSWER CORRECT WILL GET A BRAINLIEST!
What is the answer to this problem:

a. -3(x-1)+8(x-3)=6x+7-5x
what is x?

b. 7(5a-4)-1=14-8a
what is a?

Answers

a

Expanding into the parentheses.

-3x + 3 + 8x -24 = 6x + 7 −5x

Simplifying

5x - 21 = x + 7

Getting variables to one side

4x = 7 + 21

4x = 28

x = 28/4

x = 7

b

Expanding

35a - 28 -1 = 14 - 8a

Simplifying

35a - 29 = 14 - 8a

Get variables to one side

35a + 8a = 14 + 29

Simplify

43a= 43

a = 43/43

a = 1

Hope this helps

:D

- Jeron

Answer:

a. x=7

b. a=1

Step-by-step explanation:

a. -3(x-1)+8(x-3)=6x+7-5x

-3(x-1)+8(x-3)=6x+7-5x (remove the parentheses, collect like terms)

-3x+3+8x-24=x+7 (collect like terms, calculate)

5x-21=x+7 (move the terms)

5x-x=7+21 (collect the terms, calculate)

4x=28 (divide both sides)

x=7

b. 7(5a-4)-1=14-8a

7(5a-4)-1=14-8a (remove the parentheses)

35a-28-1=14-8a (calculate)

35a-29=14-8a (move the terms)

35a+8a=14+29 (collect the terms, calculate)

43a=43 (divide both sides)

a=1

ALGEBRA 1 WORK**
Look at attachment



If you ever been in a situation where your doing homework on your lap at last minute, please help me by answering these questions.

ALGEBRA 1 WORK**Look at attachment If you ever been in a situation where your doing homework on your

Answers

13) a) root 6+7

Thats what i know

How much simple interest would be earned on a certificate of deposit worth $2,000 over a period of 5years with an interest rate of 2%?

Answers

Answer:

$200 will be earned on a certificate of deposit worth $2000 over a period of 5 years with an interest rate of 2%

Step-by-step explanation:

Simple interest is applied on a amount as a whole. The interest is calculated for t time period where t is in years.

The simple interest is given by the formula:

\(I = Prt\)

Here P is the principal amount, r is the annual rate and t is time in years

Given

P = $2000

t = 5 years

r = 2%

Putting the values in the formula

\(I = 2000 * 0.02 * 5 \\I = \$200\)

Hence,

$200 will be earned on a certificate of deposit worth $2000 over a period of 5 years with an interest rate of 2%

Answer:$200

Step-by-step explanation:

Simple interest=(Principle×Rate×Time)/100

=(2000×2×5)/100

=$200

Elena wants to create a triangle shaped garden that has an area of 36 square feet Name all the different dimensions her triangle can be in feet. Pls help​

Answers

Answer:

Base = 18  Height = 4 (this is an example)

Step-by-step explanation:

Given that the triangle has an area of 36 square feet, and that the triangle area formula is A=1/2bh (b being the base, and h being the height), we can fill in the formula to get the dimensions.

To find the given numbers, we need to find what numbers are divisible to by 2 to get 36. For instance using the formula A=1/2bh, we can plug in the factors that make up 72 (if you divided it by two you will get 36). Example of this is 18x4, so we can plug it into the equation to prove it through factor trees (feel free to reach out if you have a question about those). Plugging 18 and 4 will give 18x4 divided by 2 = 36.

Elena wants to create a triangle shaped garden that has an area of 36 square feet Name all the different

1. What is the distance between the points (4,-7) and (-5,-7)?

A. 1 unit B. 3 units C. 7 units D. 9 units.


2. Fill in the blanks. Write the coordinates of two points that are the given distance from these points and horizontal/vertical:

2. 5 units from (-1,-2) ( ,-2 and ( ,-2)


3. 8 units from (2,4) (2, ) and (2, )


4. 3 units from (-7,-5) (-7, ) and (-7, )


5. 6 units from (4,-1) (4, ) and (4, )


6. 10 units from (-1,9) ( ,9) and ( ,9)


7. 7 units from (-3,2) ( ,2) and ( ,2)

Answers

Answer:D. 9 units 2. (-6,-

Step-by-step explanation:What is the distance between the points (4,-7) and (-5,-7)? A. 1 unit B. 3 units C. 7 units D. 9 units. 2. Fill in the blanks. Write the coordinates of two points that are the given distance from these points and horizontal/vertical: 2. 5 units from (-1,-2) ( ,-2 and ( ,-2) 3. 8 units from (2,4) (2, ) and (2, ) 4. 3 units from (-7,-5) (-7, ) and (-7, ) 5. 6 units from (4,-1) (4, ) and (4, ) 6. 10 units from (-1,9) ( ,9) and ( ,9) 7. 7 units from (-3,2) ( ,2) and ( ,2)

Answer:

1. D

Step-by-step explanation:

You can add the X coordinates together and you will get the length (sorry I can't answer the others ones I don't have enough time rn)

Please help I need it now, asap it's due in 5 mins.

Please help I need it now, asap it's due in 5 mins.

Answers

Answer:

25

Step-by-step explanation:

\(105+3x=180 \\ \\ 3x=75 \\ \\ x=25\)

Answer:

The answer is 25 degrees

Step-by-step explanation:

If you subtract 180 - 105 then you get 75.
Then you divide it by 3.
One circle is 360 degrees thus half of it is 180.
If you know one angle is 105 degrees then subtract it from 180.
If the number is 3x then you have to divide it by 3 to get x alone.
Hope it helps! :)

I WILL MARK YOU BRAINLIEST!!!!!!
Solve. The subject is Quadratic Equations, and you have to solve by factoring. I have already identified that x can equal 6, but cannot equal 3/2

I WILL MARK YOU BRAINLIEST!!!!!! Solve. The subject is Quadratic Equations, and you have to solve by

Answers

Answer:

x1=3/2 x2=6

Step-by-step explanation:

4x²+18x-36=0

2(2x²+9x-18)=0

81-4*2*(-18)=225

x1=(-9+15)/4=3/2

x2=(-9-15)/4=6

Answer:

Step-by-step explanation:

Which of the following statements are true of the algebraic expression 8y2 + 3y + 6? Select all that apply.

6 is a coefficient.
The expression has two variable terms.
8 is a constant.
This expression is the sum of three terms.

Answers

Answer:

The correct statements are:

6 is a coefficient.The expression has two variable terms.8 is a constant.This expression is the sum of three terms.

Explanation:

The coefficient is the numerical factor that is multiplied by a variable term. In this case, 6 is a coefficient that is associated with a constant term.Variable terms have a variable factor. In this case, the expression has two variable terms (8y^2 and 3y).A constant is a term that has no variable factor. In this case, 8 is a constant term.The expression has three terms: 8y^2, 3y, and 6. The term 8y^2 is a variable term, the term 3y is a variable term, and the term 6 is a constant term.

Learn more about Algebraic Equations here:

https://brainly.com/question/29131718

#SPJ7

Please help me. I confuse

Please help me. I confuse

Answers

Answer:

63 is the answer

63 is the answer I worked it out

Hi, math is not my strong suit, can someone please answer this equation correctly, and quickly? I also have two more for you to answer, thank you, and have a good day!

Simplify.

4x+2(x+5)+1

A. 6x + 6

B. 5x + 8

C. 6x + 11

D. 4x + 8

Answers

Answer:C

Step-by-step explanation:

Answer:

6x + 11

Step-by-step explanation:

(4x +  2 • (x + 5)) +  1

Congruent angles have _______________ supplements.
Fill in the blank

Answers

Answer:

congruent

Step-by-step explanation:

Answer:

congruent

Step-by-step explanation:

Chantelle takes out a loan of $3,500 with an APR of 4.25%. She will repay the loan in monthly payments for 6 months. To find the total amount of interest she will pay, Chantelle uses an online calculator. What are the correct numbers she should enter?

Chantelle takes out a loan of $3,500 with an APR of 4.25%. She will repay the loan in monthly payments

Answers

Answer:

P = 3,500   r = 0.0425    n = 12    t = 0.5

Step-by-step explanation:

P is the principal amount, which in this case is $3,500, or the start amount.

r is the interest rate, which is 4.25%. Change 4.5% to decimal form and it will be 0.0425.

n is the number of times the loan is repaid, or 12.

t is the time. In this case, the loan will be for 6 months, or half a year. Remember that variable t is always in term of years. In decimal form, half a year is 0.5.

7x + 12 = 9x whats the value of x

Answers

Answer:

x=6

Step-by-step explanation:

7x+12=9x

simplify

subtract 7x from both sides

12=2x

divide both sides by 2

x=6

Answer:

x = 6

Step-by-step explanation:

We can use the order of operations to firgure this out:

7x + 12 = 9x12 = 2xx = 6

Hope this helps!!

Banana Cupcakes
makes 10 cupcakes

1 cup granulated sugar

cup vegetable oil

1 large egg

4 tablespoons sour cream

2 medium-sized ripe bananas, mashed

1 cups all-purpose flour

1 teaspoon baking soda

teaspoon salt

1 teaspoon vanilla extract

pinch of nutmeg

You will use the recipe above to answer the following questions:

This recipe serves 10, but you need to serve 30. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?
How much vegetable oil do you need for 30 cupcakes?
How much flour do you need for 30 cupcakes?
What is the difference in the amount of vanilla extract you would need for 30 cupcakes?
What is the difference in the amount of salt you would need for 30 cupcakes?
In the real world, even though you make adjustments to a recipe to accommodate the number of people you need to serve, you sometimes round the amount of an ingredient instead of using an exact amount. Which ingredient would it make more sense to round rather than coming up with the exact amount? Why?

Answers

Answer: Hey give me 1 hour and ill answer it I'm doing odessyware rn so Ill get back to you later appreciate yo patients.

Step-by-step explanation:

Here we have a recipe that works for 10 serves.
Then, if we want to make 30 servings, we need to use that recipe 3 times. (because x*10 = 30, then x = 30/10 = 3)
This would be equivalent to multiply each ingredient by 3.
for 30 cupcakes we need:
3 cups of vegetable oil.
3 cups of all-purpose flour
(because for each one of these ingredients we needed only 1 cup to make 10 cupcakes).
for 10 cupcakes we need 1 teaspoon of vanilla.
for 30 cupcakes we need 3 teaspoons of vanilla, the difference is 3 - 1 = 2.
So the difference is 2 teaspoons.
About which quantities we should round are those where we may have mixed numbers or big numbers.
For example, we have 4 tablespoons of sour cream for 10 servings, then for 30 servings we should have:
3*4 = 12 tablespoons.
We could round this down to 10 tablespoons.

Hope this helped

I almost broke my brain doing this so can you give me brainliest answer please thank you

The table below shows the number of students who attend various after-school activities.

After-School Activities
Spanish Club
19
Basketball
24
Drama
15
Homework Help
17
Soccer
20

Which ratio compares the number of students in the Spanish club to the total number of students?
19:95
20:95
95:24
95:19


please help

Answers

The answer is 19:95
The answer is 19:95. There are 19 students in the Spanish club and 95 students in total. You must place it in the order it asks you, first the Spanish club students and then the total number of students.

solve for x 4-(2x+4)+5

x = -10
x = - 5/2
x = 3/2
x = 6

Answers

i think it’s -5/2 ..........
Other Questions
PLEASE GIVE A REAL ANSWER NOT A LINK OR RANDOM WORDSUse the paragraphs to complete the activity. Patrick lived in Emoryville, but every Saturday morning he rode two city buses to his uncles bookstore in Northview where he worked. He didnt mind the commute because he loved his job. He loved spending time with his uncle, but he also loved going to work because he had become friends with Andrew, one of his co-workers. The boys would talk about everything from baseball scores to movies to favorite pizza toppings.So this Saturday, when Patrick got to work, he and Andrew got to talking as they always did.Hey, Pat, Andrew said casually.Hey, said Patrick. Did you have a good week?Yeah, he said. Great week. My basketball team made it into the semifinals. The game is tonight. Were playing Emoryville, our nemesis.Before Patrick could say another word, Andrew continued. I dont like Emoryville. I dont think I could ever be friends with someone from that town. Our schools are such rivals.Patrick was speechless.Where are you from, Pat? I cant believe Ive never asked you that before!Patrick fumbled over his words. Not too far from here, he said before he quickly changed the subject to the new shipment of graphic novels.Suppose Patrick's uncle enters the scene. In 35 sentences, explain how the additional point of view might add humor or suspense to the scene.(4 points) !!! I NEED HELP !!!question 1: Explain the theory regarding how Siberians used Beringia to migrate to North America. Which equation can be used to solve for x in the following diagram? HELL ASAP WILL MARK BRANILEST Students are making lemonade from a powdered lemon drink mix. Bo mixes 5 cups ofwater and 11 cups of powdered lemon mix. Julia mixes 2 cups of water and 3 cups ofpowdered lemon mix. Use Bo and Julia's percent of powdered lemon mix todetermine whose mix will be more lemony.Bo percent of powdered lemon mix (to nearest whole number) =Julia percent of powdered lemon mix (to nearest whole number) =O Bo's lemonade will be more lemony.O Julia's lemonade will be more lemony.o The two lemonades will be equally lemony.%% 3+4= + 7 x 10 = x 1,000,000 = 72 yo M presents with memory loss, gait disturbance, and urinary incontinence for the past six months. what the diagnosis? select which statement is true about the medical uses of narcotics today. A pregnant client is seen in the health care clinic. During the prenatal visit, the client informs the nurse that she is experiencing pain in her calf when she walks. Which is the most appropriatenursing action? A welding torch requires 4122.8l of ethylene gas at 0.64 atm what will be the pressure of the gas if ethylene is supplied by a 51.6 l tank What are the three main parts of a human body cell? i need help with these science questions How can you determine a chemical property of a substance A professional identity or brand name used by a salesperson and at least one or more other licensees, to provide real estate licensed services is known as a:______. what is meant by doctrine of paramountcy. When does the doctrineapply? because of the rainy season, the depth in a pond increase 3% each week. before the rainy season started, the pond was 10 feet deep. what is the equation that best represents the depth of the pond each week? hint: use the formula y How are conflicts typically resolved in sci-fi, movies, and books?I'LL GIVE A STAR TO WHOMEVER HAS THE BEST ANSWER !! PLS DO NOT LINK SITES, I NEED THE ANSWER PLEASE, SO ONLY COMMENT IF YOU ACTUALLY HAVE A VALID ANSWER. 5. eliason a, harringe m, engstrm b, werner s. guided exercises with or without joint mobilization or no treatment in patients with subacromial pain syndrome: a clinical trial. j rehabil med. 2021;53(5):jrm00190. doi:10.2340/16501977-2806 Select the correct set of quantum numbers (n, l, ml) for the first electron removed in the formation of a cation for iron, fe. If you keep adding sugar to water and there comes a point that you cannot dissolve any more sugar to it then this is called write Verilog design and test bench codes for a 4-bit incrementer (A circuit that adds one to a 4-bit binary) using the 4-bit adder/subtractor module provided below. Test all possible casesThe design code for the 4-bit adder/subtractor ismodule halfadder (S,C,x,y);input x,y;output S,C;xor U1(S,x,y);and U2(C,x,y);endmodulemodule fulladder (S,C,x,y,cin);input x,y,cin;output S, C;wire S1,D1,D2;halfadder HA1 (S1,D1,x,y);halfadder HA2 (S,D2,S1,cin);or U3(C,D1,D2);endmodulemodule four_bit_adder (S, C4, A, B, Cin);input [3:0] A,B;input Cin;output [3:0] S;output C4;fulladder FA0(S[0], C1, A[0], B[0], Cin);fulladder FA1(S[1], C2, A[1], B[1], C1);fulladder FA2(S[2], C3, A[2], B[2], C2);fulladder FA3(S[3], C4, A[3], B[3], C3);endmodulemodule adder_subtractor(S, C, A, B, M);input [3:0] A,B;input M;output [3:0] S;output C;wire [3:0]N;wire C4;xor XOR0(N[0],B[0], M);xor XOR1(N[1],B[1], M);xor XOR2(N[2],B[2], M);xor XOR3(N[3],B[3], M);four_bit_adder FBA(S, C4, A, N, M);endmodule