what is the equation of this line

Answer: the answer is B

Step-by-step explanation:

Answer:

235

Step-by-step explanation:

Figure the rates per hr.

110/3 = 36 2/3

160/5 = 32.

So, the rates are not the same.

Knowing a bit about plumbers, they normally charge a basic fee to just show up, and then they charge per hr.

In cases like these, where we're asked to project to a new data point (in this case an 8-hr job), you should immediately think of a graph. The x-axis would be the hours worked. The y-axis would be the charge for the work (the cost of the job).

We're given two pairs of values:

(3,110) and (5,160).

The next step is to fit a line to them.

y = mx+b is the general equation for a line.

m = the slope = rise/run = change in y / change in x

Call the change in y, dy (for delta y).

Call the change in x, dx (for delta x).

m = dy/dx = 50/2 = 25

The slope is thus 25, which means for each hour, the price goes up by $25. That means the plumber charges $25/hr.

We also know the plumber charges $110 for a 3-hr job. 3*25 = $75. So the base charge would be $110-75 = $35.

y = 25x + 35

Checking this formula at x=3, we know it is 110.

Checking it at x=5, we obtain:

y = 25*5 + 35 = 125 + 35 = 160.

That checks.

Now to figure an 8-hr job, set x=8 and use the equation"

y = 25*8 + 35.

y = 200 + 35.

y = 235.

That means an 8-hr job costs $235.

Answer:

Finding the volume of a cylinder is similar to finding the volume of a prism because they share the same formula, that is:

V = base area x height

Hope this helps!

:)

Answer:

Volume of a prism is base area × height

Base of a cylinder is a circle,

Base area = pi× r²

Volume of cylinder = pi × r² × h

Which is the same as base area × height

Answer:

All rectangles are squares, All parallelograms are quadrilaterals,

Answer:

all squares are rhombuses, all parallelograms are quadrilaterals

Step-by-step explanation:

this is what is true

Answer:

yes

look at each one of the sides

the x row counts by 1

1 + 1 = 2,  2 + 1 = 3,   3 + 1 = 4

the y row counts by 2

3 + 2 = 5,   5 + 2 = 7,    7 + 2 = 9

( Hope this helps :D)

Answer:

40 more paintings in order to maximize sales making a total of 60 paintings

Step-by-step explanation:

Let x= no.of copies above 20

Total Sales(x) = (number of copies)(price per copy)

Sales (x)= (20 +x)(100 –x)

Open bracket

=1200-20x+100x-x^2

=1200+80x-x^2

Derivative of the sales

80-2x=0

80=2x

Divide both sides by 2

40=x

Because Sales(x)= –2, this is maximal by the second derivative test

The artist should make 40 more paintings in order to maximize sales making a total of 60 paintings.

The artist 60 copies should he make to maximize his sales

The artist can sell 20 copies at $100 each.

So, the total sales is:

Total =(20) * (100)

For each additional copy he makes, the value of each painting reduce by a dollar.

So, the total sales becomes

Total = (20 + x) * (100 - x)

Rewrite as:

[tex]y = (20 + x) * (100 - x)[/tex]

Expand

[tex]y = 2000 - 20x + 100x - x^2[/tex]

Evaluate the like terms

[tex]y = 2000 +80x - x^2[/tex]

Differentiate

[tex]y' = 80 - 2x[/tex]

Set to 0

[tex]80 - 2x = 0[/tex]

Collect like terms

[tex]- 2x = -80[/tex]

Divide both sides by -2

[tex]x = 40[/tex]

Recall that the initial copies is 20.

So, the new copies would be:

New = 20 + 40

New = 60

Hence, the artist 60 copies should he make to maximize his sales

Read more about maximum values at:

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Answer:

(3,6)

Step-by-step explanation:

2x-3y = -12

x+y=9. Solve for either y or x

-x. -x

y = -x + 9. Substitute this for the y

2x-3(-x+9)= -12

2x +3x-27 = -12. Add like terms

5x -27 = -12

+27. +27. Inverse operations

5x = 15

÷5. ÷5

x = 3

x + y = 9

3 + y = 9. Substitute 3 for x

-3. -3. Inverse operations

y = 6

Answer:

the answer is 141.3 cubic meters ( if you use 3.14 for pi)

Step-by-step explanation:

the volume equation of a cylinder is

V=  π[tex]r^{2} h[/tex]

we have to change the 6 meters to 3 meters because the equation for the volume of a cylinder wants the radius not the diameter

V= 3.14 × [tex]3^{2}[/tex] × 5

that equals 141.3

Answer:

141.4 meters3

Step-by-step explanation:

h\hspace{3px}=\hspace{3px}5\hspace{30px}d\hspace{3px}=\hspace{3px}6

h=5d=6

identify variables

r=

r=

\,\,3

3

radius is half of the diameter

V=

V=

\,\,\pi r^2h

πr  

2

h

use volume of a cylinder formula

V=

V=

\,\,\pi(3)^2(5)

π(3)  

2

(5)

substitute variables into formula

V=

V=

\,\,141.371669412

141.371669412

multiply

V=

V=

\,\,141.4\text{ meters}^3

141.4 meters  

3

round to the nearest tenths place

Answer:

1/3

Step-by-step explanation:

F = 36

G = 4

We know that The area is multiplied by the scale factor squared

F * (SF) ^2 = G

36 (SF) ^2 = 4

Divide each side by 36

36/36 (SF) ^2 = 4/36

(SF) ^2 = 1/9

Take the square root of each side

sqrt((SF)^2) = sqrt(1/9)

SF = 1/3

The scale factor is 1/3

Answer:

the answer is D because a and b don't have a period to separate the choice of the answer

Answer:

42

Step-by-step explanation:

We know that in the triangle, there are 3 values. 2 of them are y and 1 of them is unknown.

So, in order to find the value of the unknown number, they gave us an angle supplementary to the unknown.

Supplementary angles are angles that add up to 180 degrees. So the equation for that would be x+88=180.

By subtracting from both sides, we get x=92. So, the unknown angle is 92.

To solve for y, we have to do the same thing, but since we have 2 y's the equation will be 2y+92=180. (92 is the interior angle, aka the unknown one)

Solve:                                            -92 -92

                                                      2y=88

                                                      /2   /2

                                                       y=42

Hence, y is equal to 42.

(edit: sorry they don't line up correctly)

Answer:

I believe that a=the answer is C if It's not then probably A

Step-by-step explanation:

Answer:

the answer is

b.no

Step-by-step explanation:

Answer:

47.61$

Step-by-step explanation:

hope this helps please give me brainiest

Answer:

60

Step-by-step explanation:

Answer:

SI = prt / 100

SI = (1000 x 3 x 6)/100

SI = 180

Amount = 1000 + 180 = 1180

Answer: 71

Step-by-step explanation:

Answer:

if this is the circle than its B. 67 degrees

Step-by-step explanation:

Answer:

The zeros are approximately -0.433 and 3.352

Step-by-step explanation:

The easiest way to find the real zeros of a polynomial is to plot it and check where y = f(x) = 0. In the picture attached, the plot of f(x)= x^4 -5x^3 +6x^2 -x -2 is shown. Only two real zeros were found.

Answer:

it’s b

Step-by-step explanation:

you’re welcome

Answer:

It would be 53

Step-by-step explanation:

because the tens place is over 5 so it rounds up

Answer:

i really want to help but i think it might be D

Step-by-step explanation:

Answer:

(1 , 7)

Step-by-step explanation:

(1 , 7)          (5 , 7)

(1 , 3)          (5 , 3)

Answer:

206 miles

Step-by-step explanation:

People generally work 5x a week so.. (15000 / 52)

52 indicates the amount of weeks in a year.

In total, that is 288.4 miles a week. Now, we're assuming she doesn't work on the weekend so we divide 288.4 by 7. That is 41.2 miles a day. Now, you times 41.2 by 5 and your answer should be 206 miles a week.

Answer:

D

Step-by-step explanation:

They both equal 3.08

The decimal is moved one to the right on both so the answer will be the same

Answer:

D. 209.2 ÷ 68

I hope this helps!

Answer:

a + 2,500 < 32,000; a < 29,500

Step-by-step explanation:

This shows the 2,500 can be adapted to become less than 29,500 in additional measure when flying.

As 2,500+ 29,500 = 32,000

The a+2,500<32,000 is also correct as this shows less than and confirms that the biplane stays below 32,000.

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

4 (2m – 6) – 3p – 2m + 8

Expand 4 (2m – 6):

8m - 24– 3p – 2m + 8

Simplify 8m - 24– 3p – 2m + 8:

Group like terms:

8m - 2m - 3p - 24 + 8

Add similar elements:

6m - 3p - 24 + 8

Add subtract the numbers:

6m - 3p - 16

Your Answer Is 6m - 3p - 16

plz mark me as brainliest if this helped :)

Answer:

z= -3

Step-by-step explanation:

[tex]\frac{1}{2} z[/tex] = [tex]\frac{-3}{4} + \frac{1}{4} z[/tex]

[tex]\frac{1}{2} z - \frac{1}{4} z[/tex] = [tex]\frac{-3}{4}[/tex]

[tex]\frac{2z - z}{4} = \frac{-3}{4}[/tex]

[tex]\frac{z}{4} = \frac{-3}{4}[/tex]

4z = -3×4

4z = -12

[tex]\frac{4z}{4} = \frac{-12}{4}[/tex]

z = -3

Hope this helps!!!

The value of z in the equation (1/2)z = - 3/4 + (1/4)z is 3/2.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

given, (1/2)z = - 3/4 + (1/4)z and we have to find the value of z or solve for z.

∴ (1/2)z = - 3/4 + (1/4)z.

(1/2)z - (1/4)z = 3/4.

(1/2)z = 3/4.

z = (3/4)×(2/1).

z = 6/4.

z = 3/2.

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Answer:

6.9

Step-by-step explanation:

sin(52)=x

x=7sin(52)

Answer:

37°

Step-by-step explanation:

As we know the sum of angles of a triangle is 180  degrees.

Therefore,

angle A + angle B + angle C = 180°

In the given picture two angles are given and we have to find out the third angle.

x° + 45° + 98° = 180°

x° + 143° = 180°

x° = 180° - 143°

x° = 37°

The value of x in the triangle shown is 37°.

Answer:

D

Step-by-step explanation:

The figure is a rectangular pyramid. The cross section is perpendicular to the rectangular base and passes through the top vertex of the figure. A triangle that does not have the same dimensions as one of the faces is formed. The sides of the new triangle are the heights of the triangles on the faces of the pyramid, and that is why their dimensions are different.

Answer:

d

Step-by-step explanation:

Answer:

-625

Step-by-step explanation:

-1/5 x 5^5=-625

hope this helped stay safe!

Answer:

625

Step-by-step explanation:

First Step:

Solve [tex]5^{5}[/tex] =3,125

Then:

Multiply 3,125 by [tex]\frac{1}{5}[/tex]

Last:

Solve!

Answer: 625

Hope this helped :)

Answer:

A 256 units 3

Step-by-step explanation:

The volume of the cylinder given below is 256π units .

Given,

Radius of cylinder = 8 units

Height of cylinder = 4 units

Now,

Volume of cylinder is given by

V = π×r²×h

r = radius of base

h = height of cylinder

So,

Substitute the values in the formula,

V = π × 8² ×4

V = π × 64 × 4

V = 256π units .

Thus the volume of the cylinder is 256π units .

Know more about cylinder,

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