Lucia is building a square patio with a side length of n feet. She will cover the floor of the patio with tiles and put a fence around the
perimeter of the patio. The tiles cost $5 per square foot. The fencing costs $3 per foot. She will also buy additional supplies for $25. Let n represent the edge length, in feet, of the patio.

What does the expression 5n^2 + 12n + 25 represent?

A. The total area of the patio.
B. The cost per foot of fencing.
C. The cost per square foot of tiles.
D. The total cost of tiling and fencing the patio.
E. The sum of the area and perimeter of the patio.

Answers

Answer 1

The cost per square foot of tiles

Answer 2

The given expression is the total cost of tiling and fencing the patio , Option D is the correct answer.

What is a square ?

A square is a two-dimensional figure , and a polygon with four sides , All the sides and angles of square is equal .

It is given that

Lucia is building a square patio with a side length of n feet.

She will cover the floor of the patio with tiles and put a fence around the

perimeter of the patio.

The tiles cost $5 per square foot

The fencing costs $3 per foot

She will also buy additional supplies for $25.

Let n represent the edge length, in feet, of the patio.

the expression 5n² + 12n + 25 represent = ?

Area of the patio in square shape will be given by

side * side = n * n =n²

Title cost total = $5 * n²

Title cost total = 5 n²

Perimeter of the patio is given by 4 * side

Perimeter of the patio = 4n

The fencing cost = 3 * 4n = 12n

and the additional cost is $25

The total cost = 5 n² + 12n + 25

Therefore the given expression is the total cost of tiling and fencing the patio , Option D is the correct answer.

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Related Questions

mean for 13, 6, 24, 18, 33, 5, 13, 48, 9, 11, 36, 28, 15, 6, 13​

Answers

13+6+24+18+33+5+13+48+9+11+36+28+15+6+13(all divided by 15)

278÷15

=18.5333

Final answer:

The mean, or average, of the numbers 13, 6, 24, 18, 33, 5, 13, 48, 9, 11, 36, 28, 15, 6, 13 is calculated by adding up all the values and dividing the total by the number of values. The mean of these numbers is approximately 18.13.

Explanation:

The subject of your question is Mathematics and it appears that you are asking about how to calculate the mean, or average, of a set of values which are 13, 6, 24, 18, 33, 5, 13, 48, 9, 11, 36, 28, 15, 6, 13. To do this, you should add up all the values and divide the total by the number of values.

Add up all the numbers: 13 + 6 + 24 + 18 + 33 + 5 + 13 + 48 + 9 + 11 + 36 + 28 + 15 + 6 + 13 = 272Count how many numbers there are in total, which is 15 in this case.Divide the total by the count: 272 ÷ 15 = approximately 18.13

So the mean of these numbers is approximately 18.13.

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PLEASE HELP ME!

Which expression finds the length of side y of this right triangle?

Answers

the 4th one.

[tex]y = \sqrt{r {}^{2} } - x {}^{2} [/tex]

Help will mark you the brainiest!

Answers

Answer:

-The percentage is about 66%

-Decreased

Step-by-step explanation:

- Because it's decreasing to 60 point to get to 34 miles.

- 94 minus 34 it decreased

PLZ MARK BRANILIST I'M IN THE NEED OF IT......

66% decreasing good luck

What is the solution of the inequality c-8>-1

Answers

Answer:

The solution of inequality is c>7

Step-by-step explanation:

We need to solve the inequality c-8>-1.

c-8 > -1

Adding +8 on both sides

c-8+8 > -1+8

c>7

So, the solution of inequality is c>7

Which term refers to a pictorial representation of given set of data involving two variables?
A- graph
B- decimal
C- formula
D- axis

Answers

c. formula

I hope this helps, thank you.
Answer:

The term which refers to a pictorial representation of given set of data involving two variables is:

           A-  graph

Step-by-step explanation:

We know that

In mathematics, a graph is a diagram that is used to represent a relationship between the two variables one is a independent variable and the other is a dependent variable.

It is just the set of all the ordered pairs of the type: (x,y) where x is the domain of the function and y is the range of the function.

Hence, the answer is:

                 Option: A

         ( A-- Graph)

which statement best describes the end behavior of the following function? f(x)=3x^5+x^3-x+11​

Answers

Answer:

(d)

Step-by-step explanation:

(d) is correct.  This being a 5th power of x, the graph starts in Quadrant III and continues growing into Quadrant I.  This is true of any positive odd power of x.

The best statement describes The graph of the function starts low and ends high.

The Option (d) is correct.

The end behavior of a polynomial function is determined by its leading term, which is the term with the highest degree. The coefficients of the leading term also play a significant role.

For the function [tex]\( F(x) = 3x^5 + 4x^3 - x + 11 \)[/tex], the leading term is[tex]\( 3x^5 \)[/tex]. Since the coefficient of[tex]\( x^5 \)[/tex] is positive, as[tex]\( x \)[/tex] approaches positive infinity[tex](\( x \to \infty \))[/tex], the function [tex]\( F(x) \)[/tex] will go to positive infinity [tex](\( F(x) \to \infty \))[/tex]. Similarly, as[tex]\( x \)[/tex]approaches negative infinity [tex](\( x \to -\infty \)),[/tex] the function [tex]\( F(x) \)[/tex] will go to negative infinity [tex](\( F(x) \to -\infty \))[/tex] because the leading term, being an odd power with a positive coefficient, will dominate and the sign will be negative due to the odd power.

So, the end behavior of the function is:

- Starts low (as[tex]\( x \)[/tex] goes to negative infinity,[tex]\( F(x) \)[/tex] goes to negative infinity).

- Ends high (as[tex]\( x \)[/tex] goes to positive infinity, [tex]\( F(x) \)[/tex] goes to positive infinity).

This corresponds to option D: "The graph of the function starts low and ends high."

The data sets represent the five starting players of four basketball teams. Order the teams from least to greatest based on the mean height of the teams.

69,68,72,69,76

64,74,73,69,73

68,74,69,64,77

72,67,75,60,77

Answers

Answer:

72,67,75,60,77 (mean 70.2)

68,74,69,64,77  (mean 70.4)

64,74,73,69,73  (mean 70.6)

69,68,72,69,76  (mean 70.8)

Step-by-step explanation:

i would give 20 if you help me pls

Answers

C.) y = 4c is the answer

Drag the titles to the correct boxes to complete the pairs. Match each equation with its solution

Answers

What do you want us to help with? Is there a picture?

help me solve this
pls include the work!!!

Answers

Answer: is C.

Step-by-step explanation: i took the test and i got 3 as the answer :P

Which of the following describes how geometric figures move without changing shape?
A. Transformation
B. Image
C. Map
D. Isometric

Answers

Answer:

A. Transformation

Step-by-step explanation:

Transformation is the responsible for the changing the size of the object without changing the shape. Then the correct option is A.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The transformation is the process of making the shape of an object to be increased or decreased without changing the shape of the object that depends on the scale factor.

If the size of the object is increased then the scale factor is greater than one.

If the size of the object is decreased then the scale factor is less than one.

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6. Solve for x.
10x - 4 = +(8x + 14)

Answers

Simplify brackets

10x - 4 = 8x + 14

Add 4 to both sides

10x = 8x + 14 + 4

Simplify 8x + 14 + 4 to 8x + 18

10x = 8x + 18

Subtract 8x from both sides

10x - 8x = 18

Simplify 10x - 8x to 2x

2x = 18

Divide both sides by 2

x = 18/2

Simplify 18/2 to 9

x = 9

10x - 4 = 8x + 14

Step 1: Combine like terms

x's go with x's (10x and 8x). To do this subtract 8x to both sides

(10x - 8x) - 4 = (8x-8x) + 14

2x - 4 = 14

Normal numbers go with normal numbers (-4 and 14). To do this add 4 to both sides

2x + (-4 + 4) = 14 + 4

2x = 18

Step 2: Isolate x by dividing 2 to both sides

2x/2 = 18/2

x = 9

Hope this helped!

What is the first step in evaluating the expression shown below?

12÷(7.4−3.6)+8−2
A. Subtract 7.4−3.6.
B. Divide 12÷7.4.
C. Add 3.6+8.
D. Subtract 8−2.

Answers

The first step would be to A. Subtract 7.4 - 3.6.

You use the PEMDAS rule

Steps:

1. Parenthesis

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

Subtract 7.4−3.6 is the first step in evaluating the expression

What is expression ?

In mathematics, an expression or mathematical expression exists as a finite combination of signs that stands well-formed according to laws that depend on the context.

The Bodmas rule is arranged according to the letters in the acronym BODMAS, which stand for brackets, order of powers or roots, division, and multiplication. A stands for addition and S for subtraction. According to the BODMAS rule, multi-operator mathematical equations must be resolved in the BODMAS order from left to right.

Given

According to BODMAS rule

Subtract 7.4 - 3.6 will be performed since it is within brackets.

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The graph shows the number of employed workers in the
United States in nonfarm jobs from 2008 to 2013.

The best conclusion that can be drawn from the graph is that
the number of nonfarm jobs

remained consistent over time.

started going down in 2008.

went up every year since 2008


started going down in 2010.

Answers

Answer:

the number of non-farm jobs  started going down in 2008

Step-by-step explanation:

The question presented requires the analysis and interpretation of graphical output of data.

From the graph it is true to say that the number of non-farm jobs did not remain consistent over time since the graph is moving down then up implying decrease followed by increase.

It is also true to say that the number of non-farm jobs started going up in 2010 as indicated by the upward trend of the graph.

From 2008 to around 2010 the graph is moving downwards suggesting that the number of non-farm jobs was declining.

Answer:

D

Step-by-step explanation:

Drag a statement or reason to each box to complete the proof.

Answers

Answer:

The answers of the proof are the following:

2. Division Property of Equality

3. x+ 1 = -4

4. Subraction Property of Equality

5. x = -5

Solve the system of equations 8x+13y=2 y=x-2

Answers

Answer:

x = 1.33333333

y = -0.66666667

Step-by-step explanation:

The answers have to be those numbers EXACTLY.

8x + 13y = 2

8(1.33333333) + 13(-0.66666667) = 2

10.66666667 - 8.66666667 = 2

2 = 2

y  = x - 2

-0.66666667 = 1.33333333 - 2

-0.66666667 = -0.66666667

Answer:

x = 1.34

y = -0.67

Step-by-step explanation:

-3x + 4y= 24; 6x+2y= -18

Answers

Answer:

x = -4; y = 3

Step-by-step explanation:

-3x + 4y = 24

6x + 2y = -18

Rewrite the first equation as it is. Divide both sides of the second equation by 2 and write it below the first equation. Then add the equations.

         -3x + 4y = 24

+        3x  +  y = -9

----------------------------

                  5y = 15

Divide both sides by 5.

y = 3

Now plug in 3 into y in the first original equation and solve for x.

-3x + 4y = 24

-3x + 4(3) = 24

-3x + 12 = 24

-3x = 12

x = 12/(-3)

x = -4

Answer: x = -4; y = 3

The equation ey = 2x is equivalent to y = ln 2y = In x y = ln 2x.


Answers

Answer:

[tex]y=ln(2x)[/tex]

Step-by-step explanation:

we have

[tex]e^{y}=2x[/tex]

Applying ln both sides

[tex]ln(e^{y})=ln(2x)[/tex]

[tex]y*ln(e)=ln(2x)[/tex]

Remember that

[tex]ln(e)=1[/tex]

substitute

[tex]y=ln(2x)[/tex]

Answer:

Y=ln 2x

Step-by-step explanation:I just did it on edg 2020

1. An expression is a mathematical statement using numbers, operations, and variables.

2. The________measures the steepness of a line.

Answers

Answer:

slope

Step-by-step explanation:

Answer:

The slope / gradient measures the steepness of a line.

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

16) If 2x + 7 = -9, what is
the value of 15 - 4x?

Answers

2x + 7 = -9

2x = -9 - 7

2x = -16

x = -16/2

x = -8

15 - 4x

15 - 4.(-8)

15 + 32

47

Simplify the product (x-4)(x+3)

Answers

Answer:

Final answer is [tex]x^2-x-12[/tex].

Step-by-step explanation:

Given expression is [tex]\left(x-4\right)\left(x+3\right)[/tex].

Now we need to find the product of the given expression [tex]\left(x-4\right)\left(x+3\right)[/tex].

[tex]\left(x-4\right)\left(x+3\right)[/tex]

[tex]=x\left(x-4\right)+3\left(x-4\right)[/tex]

[tex]=x^2-4x+3x-12[/tex]

combine like terms

[tex]=x^2-1x-12[/tex]

[tex]=x^2-x-12[/tex]

Hence final answer is [tex]x^2-x-12[/tex].

ANSWER

[tex](x-4)(x+3) = {x}^{2} - x - 12[/tex]

EXPLANATION

The given product is (x-4)(x+3)

We expand using the distributive property to obtain:

[tex](x-4)(x+3) = x(x + 3) - 4(x + 3)[/tex]

Expand the parenthesis to obtain:

[tex](x-4)(x+3) = {x}^{2} + 3x- 4x - 12[/tex]

Combine the similar terms to get:

[tex](x-4)(x+3) = {x}^{2} - x - 12[/tex]

m ∠CAD = _____. Please help!

Answers

Check the picture below.

Answer:

B. [tex]m\angle CAD=\frac{m\widehat {CD}-m\widehat {GE}}{2}[/tex].

Step-by-step explanation:

We have been given an image of a circle. We are asked to find the measure of angle CAD.

We can see that angle CAD is formed by two intersecting secants outside the circle.

Intersecting secants theorem states that when two secants intersects outside a circle, then the measure of angle formed by secants is half the difference of intercepted arcs.

[tex]m\angle CAD=\frac{\text{Larger arc-Smaller arc}}{2}[/tex]

[tex]m\angle CAD=\frac{m\widehat {CD}-m\widehat {GE}}{2}[/tex]

Therefore, option B is the correct choice.

Find the area of the composite figure.
A) 17 yd2
B) 21 yd2
C) 23 yd2
D) 24 yd2

Answers

Answer:

C) 23 yd^2

Step-by-step explanation:

We can break  this figure into two rectangles.

One rectangle is a vertical triangle that is 3 yd across by 7 yds down

The area of this figure is

A = lw

   = 3 * 7 = 21

The other rectangle is 1 yd across and by 2 yds down  

The area of this figure is

A = lw

   = 1 * 2 = 2

The total area is the sum of the two figures

A = 21 +2 = 23

Its c hope this helped

Consider the diagram below. Which of the following statements are correct? Select all that apply. (Diagram and answer options are both in the picture) thank you !

Answers

Answer:

Options 1,2,6,7 are correct statements.

Step-by-step explanation:

In the given figure lines m and n are cut by a transversal t.

Among all the statements the options that are correct are :

1)<1 and <5 are corresponding angles.(The angles in matching corners are called corresponding angles)

2)<3 and <6 are alternate interior angles .(The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles)

6)<4 and <6 are same side consecutive angles.(consecutive angles lie on the same side of the transversal)

7)<1 and <8 are alternate exterior angles.( These angles lie on the exterior side of the lines and on opposite side of the transversal)

Answer:

Step-by-step explanation:

given: f(x) = x + 2 and g(x) = 3x + 5
f (x)/g (x) =

Answers

For this case we have two functions of the form y = f (x). We must find the quotient of the following functions:

[tex]f (x) = x + 2\\g (x) = 3x + 5[/tex]

So, we have by definition:

[tex]\frac {f (x)} {g (x)} = \frac {x + 2} {3x + 5}[/tex]

Answer:

[tex]\frac {f (x)} {g (x)} = \frac {x + 2} {3x + 5}[/tex]

with 3x + 5 different from zero, so that the function is defined

Answer:

[tex]\frac{f(x)}{g(x)}=\frac{x+2}{3x+5}[/tex]

where [tex]x\ne -\frac{5}{3}[/tex]

Step-by-step explanation:

The given functions are:

f(x) = x + 2 and g(x) = 3x + 5

[tex]\frac{f(x)}{g(x)}=\frac{x+2}{3x+5}[/tex]

Since this is a rational function, the function will not be defined where denominator equals zero.

We need to restrict the function or define the domain.

This is a rational function defined for [tex]x\ne -\frac{5}{3}[/tex]

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
6-inch apothem
A = sq. in.

Answers

Answer:

[tex]\boxed{108\sqrt{3}\text{ in}^{2}}[/tex]

Step-by-step explanation:

An apothem is a perpendicular drawn from the centre of the triangle to one of its sides.

The three apothems OD, OE, and OF divide  ∆ABC into six smaller congruent triangles.

1. Area of ∆OCD

CotOCD = OD/OC

cot30 = CD/6

√3 = CD/6

CD = 6√3

A= ½bh

A = ½ × 6√3 × 6 = 18√3  in²

2. Area of ∆ABC

A = 6 × area of ∆OCD = 6 × 18√3 = 108√3 in²

[tex]\text{The area of the triangle is }\boxed{108 \sqrt{3} \text{ in}^{2}}[/tex]

Answer:

just had this question :/ 108√3

Step-by-step explanation:

What is the value of x in the figure?

Enter your answer in the box.

Answers

Answer:

x=29

Step-by-step explanation:

x+61=90

61-61

90-61

x=29

Answer: 29

Step-by-step explanation:

Add the right angle which would equal 90 degrees with the 61 degrees. Now you get 151. Subtract 151 from 180, which is half of the circle. Now you have 29 degrees.

How u do this bro?!,?,!,!

Answers

Answer:

c=3

Step-by-step explanation:

We have 2 points, we can find the slope using

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

Substituting into this equation

-1/4 = (4-5)/(7-c)

-1/4 = -1/(7-c)

Multiply both sides by -1

1/4 = 1/(7-c)

The denominators have to be the same

4 = 7-c

Subtract 7 from each side

4-7 = 7-7-c

-3 = -c

Multiply by -1

3 =c

Solve for u. 4u=10.24. Please answer thanks :)

Answers

Answer:

Simplifying

4u = 10.24

Solving

4u = 10.24

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Divide each side by '4'.

u = 2.56

Simplifying

u = 2.56

Step-by-step explanation:

Answer:

[tex]u=2.56[/tex]

Step-by-step explanation:

The given equation is

[tex]4u=10.24[/tex]

We want to solve for the variable u, in the linear equation above.

We divide both sides by 4 to obtain;

[tex]\frac{4u}{4} =\frac{10.24}{4}[/tex]

We simplify to get;

[tex]u=2.56[/tex]

If two sides of the triangle are 12 inches and 18 inches, what is the range of the possible lengths of the third side

A) 6 B) 12 C)7 D)15

Answers

Answer:

d is the closest to the real answer assuming the question is asking for an estimate

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