Clothing Online An online clothing company sells custom sweatshirts. The company charges $3.50 for shipping plus $5.50 for each sweatshirt. Write a linear function rule
that models the total cost y (in dollars) for any number of sweatshirts x
Use pencil and paper. Describe how the linear function rule would change if the shipping charge applied to each sweatshirt
When there is a single shipping charge, the

linear function rule is y= ?

The linear equation formed is y = 200 +5x  and 60 weeks will be required to finish the project.

A statement that relates two mathematical expressions by an equal sign is called an Equation.

It is given that

No. of phones Per week  installed in the office = 5

Let the no. of phones installed at the present week is given by y

and let x weeks have passed by before that

then the linear equation is formed as

y = 200 +5x

If the company wants to replace all the phones

Total phones = 500

No. of week required = ?

500 = 200+5x

300 = 5x

x = 60

Therefore 60 weeks will be required to finish the project.

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Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

Answer:

\(8.182X10^8 $pounds\)

a=8.182 and b=8

Step-by-step explanation:

Weight of the Empire State Building =\(7.3X 10^8\) pounds.

Weight of the One World Trade Center building= 88,200,000 pounds.

=\(8.82 X 10^7\)

The addition of the two:

\(=7.3X 10^8+8.82 X 10^7\\$To make it easier to add, express both as powers of 8\\=7.3X 10^8+0.882 X 10^8\\=(7.3+0.882)X10^8\\=8.182X10^8 $ pounds\)

Comparing with the form: \(aX10^b\)

a=8.182 and b=8

Answer:

This is the answer and I hope it helps. have a great time.

Answer:

x < 6

Step-by-step explanation:

\(x+2 < 8\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x < 6\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:6\right)\end{bmatrix}\)

\(\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\)

\(x+2-2 < 8-2\)

\(\mathrm{Simplify}\)

\(x < 6\)

~Learn with Lenvy~

Answer:

z < 6

Step-by-step explanation:

this is the correct answer

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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The exponential form of 6 × 6, is written as: 6².

Repeated multiplication involving base exponents and base can be written in exponential form, such as: a × a × a = a³.

Given the expression, 6 × 6, the number 6 will be the base while 2 will be the exponent if we want to express it in exponential form. Therefore:

6 × 6 = 6².

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Answer:

a=6ft

Step-by-step explanation:

V=a3

a=V⅓=216⅓=6ft

I think it is a 6x+4

The required area of the frame shown is 5x + 3. Option C is correct.

The surface area of any shape is the area of the shape that is faced or the surface area is the amount of area covering the exterior of a 3D shape.

Here,
The area of the picture is given as,
= 2x × x
= 2x²

The area of the whole painting with frame.

= (x + 1)(2x+ 3)
= 2x² + 5x + 3

The area of the frame is given as,
= area of picture with frame - an area of the picture,
= 2x² + 5x + 3 - 2x²
= 5x + 3

Thus, the required area of the frame shown is 5x + 3. Option C is correct.

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Answer:

39.1 megabytes

Step-by-step explanation:

Percentages are out of a hundred, so 15.7% is 15.7 out of 100, aka 15.7/100, which is 0.157.

Now, you just need to multiple this number by 249 megabytes to get 0.157 * 249 = 39.093 which rounds to 39.1

The percentage paid as tax annually is 11 1/4 %. We would convert this perentage to decimal. It becomes 11.25%

Recall, percentage is expressed in terms of 100. If Jim earns $44,700 annually, then the amount of tax that he pays annually is

11.25/100 x 44700

= 5028.75

The correct option is C

The volume of a cone will be 209.41 yard³.

What is volume of cone?

The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.

So the

V = (1/3)πr²h.

Given, data r = 5yards

h = 8 yards

Volume = 1/3 * π * r ²* h

= 1/3 * 3.141*25*8

=209.41 yard³

Hence, the volume of a cone will be 209.41 yard³.

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Answer:

Length = 24 yards

Width = 3 yards

Step-by-step explanation:

First you find the perimeter of the rectangle assuming It's length is 8 and its width is 1. The perimeter is then 18. Lets call this rectangle A

Now you divide 54 by 18 which gives you 3. That means the rectangle is 3 times the size of the rectangle  A.

So to find the length and width you do this:

Length: 8 X 3 = 24 yards

Width: 1 X 3 = 3 yards

see the attached sheet.

I hope it helps you .

Matrices A and B are non-invertible matrices that can be added together to form an invertible matrix. To find these matrices, we can use the following steps:

Step 1: Choose a matrix A that is not a diagonal matrix and is not invertible. One example of such a matrix is

\(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\)

Step 2: Choose a matrix B that is not a diagonal matrix, is not invertible, and is not a scalar multiple of matrix A. One example of such a matrix is
\(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\)

Step 3: Add the matrices A and B together to form the matrix A+B. This matrix will be invertible, as shown below:

\(A+B = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]+\left[\begin{array}{ccc}0&0\\1&1\end{array}\right]=\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\)

Step 4: Verify that the matrix A+B is invertible by finding its determinant. The determinant of a 2x2 matrix is given by:

det(A+B) = (1)(1) - (1)(1) = 0

Since the determinant of the matrix A+B is not equal to zero, the matrix is invertible.

Therefore, the matrices \(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\) and \(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\) are non-invertible matrices that can be added together to form an invertible matrix \(A+B =\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\).

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Answer:

To locate the number 8 and its opposite on the number line, we can use the given number line:

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑ ↑

So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.

Now, let's address exercises 2-3:

a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

So, the opposites of the given numbers are:

9 → -9

-2 → 2

4 → -4

They are related to zero as equal distances on opposite sides of zero on the number line.

Step-by-step explanation:

The equation of the line perpendicular to the given line and the point is y=5/4x-2.

Given that,

The equation of the line is y=-4/5+2 and the point (8,9).

We have to find the equations of the line perpendicular to given equation of the line and point.

We know that,

The line's equation looks like this:

y=mx+b

where m denotes the line's slope and b its intercept.

For the perpendicular line we get slope as negative and inverse of the given line.

m=-4/5 for the given line

We get,

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

We get

y=5/4x+b

Take (x,y) as (8,9)

8=5/4×8+b

8=5×2+b

8=10+b

8-10=b

b=-2

We get equation as

y=5/4x-2

Therefore, The equation of the line perpendicular to the given line and the point is y=5/4x-2.

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Looking at the given triangles, we can see that

Angle A is congruent to angle E(both have single curve inside)

Angle B is congruent to angle F(both have double curve inside)

Side BC is congruent to side FD.

Thus, two angles are congruent while on side congruent.

Therefore,

Angle ABC is congruent to angle EFD

The method is Angle Angle Side(AAS)

In order to map triangle ABC to triangle EFD, the transformation that would be done is Rotation

Answer:

46.667% increase of 30.

Step-by-step explanation:

44 is a 46.667% increase of 30.

Step-by-step explanation:

Thank you rhhtthrhrgrgtnymuge hjk it is the right

Answer:

1.

  x = (2,0)

  y = (0,-8)

2.

   x  = (-2,0)

   y  = ( 0, 2)

3.

    x =  ( 4,0)

    y = ( 0, -16)

Step-by-step explanation:

aIll do one equation as an example

f(x) = 4x -8

y = 4x - 8

since its an intercept you know the x, for the y intercept will be zero and vice versa. Its like this cause its on the axis.

So you only need to figure out the y for the y intercept and the x for the x intercept.

- 4x  + y = -8

after changing the equation to standar form you then ignore the x base so, 4x to get the y intercept.

- 4x + y = -8 becomes  y = - 8 then you add the 0 for the coordinate

y = -8 becomes (0,-8)

f(x) = 4x -8

y = 4x - 8

- 4x  + y = -8

 y = - 8

(0,-8)

f(x) = 4x -8

y = 4x - 8

- 4x  + y = -8

-4x = -8

x = 2

(2, 0)

sorry im not really good at explaining lol

can g et a brainliest for effort at least 5 points isnt much

Answer:

1080

Step-by-step explanation:

5(3!)^3

5(6)^3

5(216)

1080

AB has a length of 15, angle A is approximately 36.87 degrees and angle B is approximately 53.13 degrees.

We can use the Pythagorean theorem to find the length of AB:

AB² = AC² + BC²

AB² = 9² + 12²

AB² = 81 + 144

AB² = 225

AB = √225

AB = 15

So, AB has a length of 15.

To find angle A, we can use the inverse tangent function:

tan(A) = opposite/adjacent = AC/BC = 9/12 = 3/4

A = tan⁻¹(3/4) ≈ 36.87°

So, angle A is approximately 36.87 degrees.

To find angle B, we can use the fact that the three angles in any triangle add up to 180 degrees:

B = 90 - A = 90 - 36.87 ≈ 53.13°

So, angle B is approximately 53.13 degrees.

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h = hours till they're 58 miles apart

Check the picture below.

so they're travelling in opposite directions, however the combined distances is 58 miles at say "h" hours, by the time that happend Hopi has been walking "h" hours and Brittany has also being walking "h" hours too.

Since the combined distance is 58 miles than if Hopi has covered "m" miles then Brittany covered the slack of "58 - m".

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hopi&m&15&h\\ Brittany&58-m&14&h \end{array}\hspace{5em} \begin{cases} m=(15)(h)\\\\ 58-m=(14)(h) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{substituting on the 2nd equation}}{58-(\stackrel{m}{15h})=14h}\implies 58=29h\implies \cfrac{58}{29}=h\implies \boxed{2=h}\)

Answer:

Quotient=306

Step-by-step explanation:

2449÷8

Quotient=306 remainder=1

Based on the calculations given below, the value of the marginal product is option A: $37.50.

The value of marginal product (VMP) is one that can be calculated as the additional revenue generated by hiring an additional worker.

So to o calculate the VMP of the first worker, it will be:

Hence:

VMP of the first worker = (output with one worker - output with zero workers) x price per unit

VMP of the first worker = (25 - 0) x $2

                                            = $50

Note that the ingredients needed to make each cup of coffee cost 50 cents, so the total cost of making 25 cups of coffee with one worker will be:

Total cost = ingredients cost x output

                = $0.50 x 25

                   = $12.50

So, the value of the marginal product of the first worker can be obtained by:

VMP of the first worker = additional revenue - additional cost

                                  = $50 - $12.50

                                    = $37.50

So the value of the marginal product is: $37.50.

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The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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The Solution.

To get the base of the triangles in the diagram, we use The Pythagorean Theorem as below:

So, the area of triangle is

Area of rectangle 1 is

Area of rectangle 2 is

Area of rectangle 3 is

Solution

Use a tree diagram to determine the probability of tossing a total of 7 using two regular dice.

For the sum number hould be 7

First dice : 1 2 3 4 5 6

second dice 6 5 4 3 2 1

Probability = favourable outcomes /total outcomes

Pro(total sum of 7) = number of seven / Total number

To solve the problem, we need to find Julian's average speed, given that he started biking from a position behind the simulated biker at a speed of 20 km/h, and after 15 minutes, his position was reported as -214 km.

We can use the formula for average speed:

Average speed = total distance / total time

To find the total distance, we need to calculate the displacement of Julian from the initial position of -d (where d is the distance between Julian and the simulated biker when he started biking) to the position of -214 km after 15 minutes.

Displacement = final position - initial position

Displacement = (-214 km) - (-d) = d - 214 km

The total distance covered by Julian is equal to the absolute value of the displacement, since the direction of the motion does not matter when computing distance.

Total distance = |d - 214 km|

To find the total time, we need to convert 15 minutes to hours:

Total time = 15 minutes / 60 minutes/hour = 0.25 hours

Now we can substitute the values into the formula for average speed:

Average speed = total distance / total time

Average speed = |d - 214 km| / 0.25 hours

Since Julian was traveling at a constant speed of 20 km/h, we can also express the distance in terms of time:

Average speed = (20 km/h) x t / 0.25 hours

where t is the time Julian biked in hours.

Setting the two expressions for average speed equal to each other, we can solve for t:

|d - 214 km| / 0.25 hours = (20 km/h) x t / 0.25 hours

|d - 214 km| = 20 km/h x t

Solving for t:

t = |d - 214 km| / 20 km/h

Now we can substitute this expression for t into either expression for average speed:

Average speed = (20 km/h) x t / 0.25 hours

Average speed = |d - 214 km| / 0.25 hours

Substituting the expression for t:

Average speed = |d - 214 km| x 4 / |d - 214 km|

Simplifying:

Average speed = 80 km/h

Therefore, Julian's average speed so far has been 80 km/h.

Answer:

(B) 39°

Step-by-step explanation:

30° + 24° + (3x -9°) = 180°

3x = 180° - 30° - 24° + 9°

3x = 117°|:3

x = 39°

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro