The scatter plot shows the profit by the month for a new company during its first year of operation. Which equation most closely models the line of best fit for the scatter plot? A) y = 5x B) y = 2.5x C) y = 5x + 1000 D) y = 2.5x + 1000

The Scatter Plot Shows The Profit By The Month For A New Company During Its First Year Of Operation.

Answers

Answer 1

The equation most closely models the line of best fit for the scatter plot is y = 2.5x

Equation of a line

A line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b

where:

m is the slope or rate of change

b is the intercept

Using the coordinate points on the line (3, 5000) and (9, 20000)

Get the rate change(slope)

Slope = 20000-5000/9-3

Slope = 15000/6 = 2500

Determine the y-intercept by substituting

5000 = 2500(3) + b

b = 5000 - 7500

b = -2500

Determine the equation

y = 2.5x - 2.5

Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x

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Related Questions

Find the minimum distance between the point (-5,1) and the line x = -2​

Answers

Answer:

3

Step-by-step explanation:

The minimum distance would be when there would be a horizontal line connecting the point (-5,1) with the line x=-2. So there would be a line from (-5,1) to (-2,1) which would be a straight line of 3 since -2 +5 = 3.

A squared garden has area 1764 m². Find its length and perimeter. ​

Answers

Answer:

We know that,

Area of Square = ( Side )²

Given:

Area of Squared garden is 1764 m².

To Find:

It's Length & Perimeter

➛ Side = √1764

➛ Side = 42

Thus, Side of Squared garden is 42cm.

We know,

Perimeter of Square = 4 × Side

Given:

Side is 42 cm.

➛ Perimeter = 4 × 42

➛ Perimeter = 168

Thus, Perimeter of Squared garden is 168cm.

What are your guys favorite marsupials?

Answers

Answer:

koalas

Step - by - step explanation:

because they're so cute and cuddly

Need help asap ……..

Answers

Answer:

[tex]\frac{1}{3}[/tex](9) = 3

[tex]\frac{1}{4}[/tex](16) = 4

[tex]\frac{2}{5}[/tex](25) = 10

[tex]\frac{3}{5}[/tex](25) = 15

[tex]\frac{1}{5}[/tex] x = 10    x=50

[tex]\frac{1}{4}[/tex]x= 10      x=40

The length of a rectangle is 5times
the breadth, if the perimeter of a
rectangle is 72cm find the area.

Answers

Answer:

Step-by-step explanation:

Formula Development

Let the width = w

Let the Length = 5*w

P = 72

P =2w + 2L

Area = 5w * w

Solution

Start with the Perimeter. Solve for w.

P = 2w + 2L                  Substitute the givens

72 = 2w + 2*5w            Combine

72 = 2w + 10w              Combine   Combine again

72 = 12 w                       Divide by 12

72/12 = 12w/12

w = 6

Now for the area

Area = 5w * w

w = 6

Area = 5*6*6

Answer: Area = 180 cm^2

Bailey writes the expression g2 14g 40 to represent the area of a planned school garden in square feet. what factors can be used to find the dimensions of her garden? (g−4)(g−10) (g 4)(g 10) (g 4)(g−10) (g−4)(g 10)

Answers

The area of the planned school garden have dimensions of g + 4 and g + 10 respectively.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the area of the planned school garden as:

A = g² + 14g + 40

A = g² + 10g + 4g + 40 = g(g + 10) + 4(g + 10)

A = (g + 4)(g + 10)

The area of the planned school garden have dimensions of g + 4 and g + 10 respectively.

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please help me find the area of compound shapes?!?!

Answers

Answer:

Your answer will be 38cm...

Can someone help me I don't understand

Answers

Answer: C 75

Step-by-step explanation: time to distance is ratio 4:5 = 60:X

In 1min He walks 5/4

in 60mins He walks 5/4 ×60

The table shows the results of spinning a wheel 80 times. What is the relative frequency of the event "spin a 3"?

Answers

Answer:

0.267

Step-by-step explanation:

:)

a+ −5 =−9 I really need help with this any pointers?

Answers

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

a+(-5)=-9

What is a equal to?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

First, a+(-5)=-9 can be written as follows:-

⇒a-5=-9

Now, add 5 to both sides:-

⇒a=-9+5

And finally,

⇒a=-4

Good luck.

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Answer:

a = -4

Step-by-step explanation:

We have to,

Find the required value of a,

→ a + (-5) = -9

→ a - 5 = -9

→ a = -9 + 5

→ [ a = -4 ]

Hence, the value of a is -4.

Math question please help

Answers

Answer:

Step-by-step explanation:

Remark

There are 6 faces on a cube.

Each face has an area of s^2

s = 5

One face is s^2

One face is 5^2 = 25 cm^2

6 faces are 6*25 cm^2

6 faces are 150 cm^2

Answer

150 cm^2

Question 1 (Essay Worth 10 points)
(4.01 MC)

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.

Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)

Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)

Part C: If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)

Answers

The linear equations of the candles are y = 0.5x + 8 and y = 0.4x + 8. And both relationships are the function.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A candle burns down at the rate of 0.5 inches per hour.

The original height of the candle was 8 inches.

Let y be the height of the candle and x be the number of hours.

Then the linear equation will be given as

[tex]\rm y = mx + c[/tex]

where m is the rate and c is the initial value. Then the linear equation of the candle will be

y = -0.5 x + 8

The function is a linear function.

If the value of m is replaced by 0.4. Then the linear equation will be

y = 0.4x + 8

And this will also be a linear function.

More about the linear system link is given below.

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Is 4 and 1/8 greater or less than 4 and 1/4?

Answers

Answer:

Less than

Step-by-step explanation:

4 and 1/4 is basically equal to 4 and 2/8

Answer: less becuase 4 1/4 x 4=17 and 4 1/8 x 4=16.5

Step-by-step explanation:

A washer and a dryer cost $819 combined. The washer costs $69 more than the dryer. What is the cost of the dryer?
a
si
х
?

Answers

Answer:

the dryer costs $450

step-by-step explanation:

w + d = 831

w = d-69 (they told us we will have to take $69 from the cost of the dryer to determine the cost of the washer)

(d-69) + d = 831

Let's combine like terms

2d - 69 = 831

add 69 to both sides to solve for d

2d = 900

divide both sides by 2 to solve for d

d = 450; the dryer costs $450

in the circle, an arc length 8pi cm is intercepted by acentral angle of 2pi/3 radians. what is the radius of the circle

Answers

Answer:

radius = 12 cm

Step-by-step explanation:

al - Arc Length

[tex] \alpha \: - Central \: Angle ( in \: \: radians)[/tex]

r - Radius

[tex]al \: = 8\pi \: cm[/tex]

[tex] \alpha \: = \frac{2\pi}{3} [/tex]

[tex]al \: = \alpha \times r[/tex]

[tex]r \: = \frac{al}{ \alpha } [/tex]

[tex]r = \frac{8\pi}{( \frac{2\pi}{3} )} [/tex]

[tex]r = 12 \: cm[/tex]

An equation of a circle is x^2 - 8x + 16 +y^2 + 10y + 25 = 81

What is the radius of the circle?

What is the center of the circle?

Answers

Answer:

the radius: r = 9the center: (4, -5)

Step-by-step explanation:

The equation of a circle:

(x - a)² + (y - b)² = r²

(a, b) - the center of a circle

r - the radius of a circle

x² - 8x + 16 + y² + 10y + 25 = 81

(x² - 2(x)(4) + 4²) + (y² + 2(y)(5) + 5²) = 81

use: (a - b)² = a² - 2ab + b² and (a + b)² = a² - 2ab + b²

(x - 4)² + (y + 5)² = 9²

Therefore

the radius: r = 9

the center: (4, -5)

The radius is 9 and the center of the circle  (4, -5)

What is the center of a circle?

A circle's center is a point throughout the circle that is equally spaced from every other point on the circumference. The line of refraction symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry surrounding the centre.

The equation of a circle:

(x - a)² + (y - b)² = r²

The center of a circle will be (a, b)

The radius of a circle will be r

x² - 8x + 16 + y² + 10y + 25 = 81

Solving the above equation on the basis of the Equation of a circle.

(x² - 2(x)(4) + 4²) + (y² + 2(y)(5) + 5²) = 81

Using the identity in the above-given equation.

(a - b)² = a² - 2ab + b² and (a + b)² = a² - 2ab + b²

(x - 4)² + (y + 5)² = 9²

The center of the circle will be at coordinates 4 and 5. And the radius of the circle derived is 9.

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HELP ME OUT HERE! PLS TELL ME HOW U GOT THE ANSWER TOO!

Answers

Answer: Choice C

[tex]\begin{array}{|c|c|} \cline{1-2}x & y\\\cline{1-2}0 & 1\\\cline{1-2}2 & 2\\\cline{1-2}4 & 3\\\cline{1-2}6 & 4\\\cline{1-2}\end{array}[/tex]

=========================================================

Explanation:

There are four marked points on the line.

Each point is of the form (x,y)

The first or left most point is (0,1) The second point is (2,2)The third is (4,3)The fourth is (6,4)

Each of these points is then listed in the table format as shown above.

There are infinitely many other points on the line; however, we only select a few of them to make the table (or else we'd be here all day).

Extra side notes:

The slope of this line is m = 1/2 = 0.5The y intercept is 1 located at (0,1) The equation of this line is y = 0.5x+1

Answer:

the anwser is c

Step-by-step explanation:

trust me

Which expression is equivalent to 8(3t)?

Answers

Answer:

24t

Step-by-step explanation:

Multiply 8 by 3t
Since 8 is outside of the bracket, while 3t is inside the bracket
8 * 3t
= 24t

Round 69581.491337 to the nearest thousand

Answers

Answer:

hope this helps:)

Step-by-step explanation:

the thousands place is right before the first comma therefore it is in bold here:

69581.491337

since 5 is [tex]\geq[/tex] 5 you round 9 up to a 10

once you round, the numbers below it all turn into zeros.

giving the number to be 70,000

hope this helps:)

Answer: Heyaa!~

Your Answer Is... 70,000

Step-by-step explanation:

Hopefully this helps you!~

when you round the numbers below it all turn into zeros.

If we add, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and –3xz + 5x – 2xy, then the answer is:
[tex]\sf A) \; 5xy+9yz+3zx+5x–4y[/tex]
[tex]\sf B)\; 5xy+10yz+3zx+15x-4y[/tex]
[tex]\sf C) \; 5xy-9yz+3zx-5x-4y[/tex]
[tex]\sf D)\; 5xy+10yz+3zx+5x-6y[/tex]

Answers

Answer:

a) 5xy + 9yz + 3zx + 5x - 4y

Step-by-step explanation:

→ (7xy + 5yz - 3zx) + (4yz + 9zx - 4y) + (-3xz + 5x - 2xy)

→ (7xy - 2xy) + (5yz + 4yz) + (-3zx + 9zx - 3xz) + (5x) + (-4y)

→ 5xy + 9yz + 3zx + 5x - 4y

Hence, option (a) is the correct answer.

Answer:

[tex]\textsf{A)}\quad \sf 5xy+9yz+3zx+5x-4y[/tex]

Step-by-step explanation:

Given expression:

[tex]\sf (7xy+5yz-3zx)+(4yz+9zx-4y)+(-3xz+5x-2xy)[/tex]

Remove the parentheses:

[tex]\implies \sf 7xy+5yz-3zx+4yz+9zx-4y-3xz+5x-2xy[/tex]

Collect like terms:

[tex]\implies \sf 7xy-2xy+5yz+4yz+9zx-3zx-3xz+5x-4y[/tex]

Combine like terms:

[tex]\implies \sf (7-2)xy+(5+4)yz+(9-3-3)zx+5x-4y[/tex]

[tex]\implies \sf 5xy+9yz+3zx+5x-4y[/tex]

please help me out with the graph. 1e​

Answers

I suppose it's going to look like this, you just need to continue the graph for other figure numbers and numbers of circles

The exterior angle of a certain regular polygon is 60°. How many sides does the polygon have?.

Answers

Answer:  6

Work Shown:

E = exterior angle = 60 degrees

n = number of sides of the regular polygon

n = 360/E

n = 360/60

n = 6

The regular polygon has 6 sides.


ABCD is a rhombus.
y
The coordinates of A are (5, 11)
The equation of the diagonal DB is y = x + 5
The equation of the diagonal AC can be written
in the form y = mx + c where m and c are integers.
Work out the value of m and the value of c.

Answers

From the information given, it is correct to state that M = - 3; while c = 26. This problem relates to a Rhombus. See the definition of a Rhombus below.

What is a Rhombus?

A Rhombus is a 2-dimensional quadrilateral whose sides have equal length.

What are the steps for finding M and C?

It is given that ABCD is a Rhombus. This means that

AC ⊥ BD; andLine DB is y = (1/3)x + 5

Hence, the slope of AC = -3.

This is arrived at as follows:

Given that the diagonals of Rhombus' are perpendicular, hence

I/3 x m = -1 ⇒ -3

⇒ Line y-11 = -3 (x-5)

⇒ Line AC thus ⇒ y = -3x + 26


How do we solve for c?

Recall that the coordinates are (5, 11). Thus let y = -3x + b

Hence, -3 x 5 + b = 11
b = 11 + 15

b = 26.

Therefore the equation is given as:

y = -3X + 26 were:

m = -3; and

c = 26

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An angle measures 54° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

Step-by-step explanation:

we know that If two angles are complementary, then their sum is equal to 90 degrees

Letx -----> the measure of an angle

 y-----> the measure of he other angle

we know thatx+y=90 -----> y=90

-x -----> equation

Ax=y+54 ----> equation

Bsubstitute equation B in equation A and solve for yy=90-(y+54)

y=90-y-542y=36y=18°

Find the value of xx=y+54 -----> x=18+54=72°

thereforeThe measure of the angles are 72 degrees and 18 degrees

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

           An angle measures 54º more than the measure of its supplementary angle. What is the measure of each angle?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

Angle Measurements:- 63º and 117º

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

                        Supplementary angles add up to 180º.

Now, let the unknown angle be n.

Set up an equation:-

[tex]\bigstar[/tex] [tex]\textsf{n+n+54=180}[/tex] (remember, supplementary angles add up to 180)

Add the n's :

[tex]\textsf{2n+54=180}[/tex]

Subtract 54 on both sides:

[tex]\textsf{2n=126}[/tex]

Divide by 2 on both sides:

[tex]\textsf{n=63\textdegree}[/tex]

Now, add 54 to find the other angle:

63+54=117

Check:-

We can easily check our work by adding the two angles together and seeing whether or not we end up with 180º.

[tex]\textsf{63+117=180}[/tex]

[tex]\textsf{180=180}\LARGE\checkmark[/tex]

LHS=RHS (Left-Hand Side = Right-Hand Side)

Hence, the angles are 63 and 117.  [tex]\checkmark[/tex]

Good luck.

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Cuánto es 5 entre 639 ayudaa

Answers

639 / 5 es equivalente a 127.8

Given m∥n, find the value of x and y.

Answers

x=2
y=149
————-
Solve 8x+15=7x+17
alternate angles are equal
x=2

Substitute 2 in 8x+15 =31
180-31=149
y=149
Angles on a straight line add up to 180

f(x) = 6x + 8, g(x) = 2x^2
Find (f+ g)(x).

Answers

Answer:

2x² + 6x + 8

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 6x + 8 + 2x²

= 2x² + 6x + 8

Una caja de 12 litros de leche cuesta 232 si tiene agregado el 16 porciento de IVA

Answers

Answer:

269.12

Step-by-step explanation:

how do you say 4 twenty dollar bill

Answers

Answer:

4 twenty dollar bills = 20 x 4

                                = 120

Thus, the answer is 120 dollars.

Step-by-step explanation:

PLS RESPOND FAST!! WILL GIVE BRAINLIEST! How is the process of isolating a variable in these literal equations similar to solving a one-step equation? How is it different?

Answers

Step-by-step explanation:

The goal is to isolate that given variable. The process is the same process that you use to solve linear equations; the only difference is that you will be working with a lot more letters, you also prob will not be able to simplfy as much as linear equations

Answer:

it is more than one step so it takes longer to solve

Step-by-step explanation:

the process of isolating a variable in these literal equations is similar to solving a one-step equation because after isolating a variable you solve the rest of the equation,it is different from solving a one-step equation because it is more than one step so it takes longer to solve

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