for the figure shown below, find the value of the variable and the measure of the angles.

x is
measure angle P
measure angle Q
measure angle R​

Answer:

$40

It means that when an infinite number of pages are printed in a month then the fixed cost will be negligible.

Step-by-step explanation:

Given that:

Monthly overhead costs in rent = $1900

Costs in electricity = $450

Costs for phone service = $80

Costs for advertising and marketing = $230

Printing cost per thousand pages = $40

If number of pages printed are [tex]x[/tex] thousand then cost of printing for [tex]x[/tex] thousand pages = $40[tex]x[/tex]

Average cost to print [tex]x[/tex] thousand pages can be given as:

(Total fixed cost + Total cost of printing [tex]x[/tex] thousand pages) divided by [tex]x[/tex]

[tex]\dfrac{2660+40x}{x}[/tex]

Now, it is given that an infinite number of pages are printed in a month, and we have to find the value that average cost would approach to.

[tex]\lim_{x \to \infty} (\dfrac{2660+40x}{x})[/tex]

Let us solve the above limits.

[tex]\Rightarrow \lim_{x \to \infty} (\dfrac{2660}x+\dfrac{40x}{x})\\\Rightarrow \lim_{x \to \infty} (\dfrac{2660}x)+40\\\Rightarrow 40+\lim_{x \to \infty} (\dfrac{2660}x)[/tex]

When

[tex]x\rightarrow \infty\Rightarrow \frac{2660}{x} \rightarrow 0[/tex]

Putting the value in the limits, we get:

Average cost per thousand pages month would approach to [tex]\rightarrow \$40[/tex]

It means that when an infinite number of pages are printed in a month then the fixed cost will be negligible.

Answer:

it's the fourth one i did that assignment aswell

Vertex form:

y = 5  (x - 1)^2 - 80

Standard Form:

y = 5x^2 - 10x - 75

Answer:

B. $3.56

Step-by-step explanation:

You take $28.48 and divide it by 8

28.48 / 8 = 3.56

/ = divide

Answer:

2

Step-by-step explanation:

The highest exponent of the variable is known as degree of the polynomial. The eqn. given in the question has exponents 2 & 1 out of which 2 is the highest exponent . So 2 is the degree of the polynomial.

Answer:

Y:4     X:540

Step-by-step explanation:

Answer: first divide so you make it one and then you multiply hope that helps

Step-by-step explanation: then you can add them to get by one then multiply

Answer:

-4

Step-by-step explanation:

Answer:

first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.

So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg

Answer:

Answer below

Step-by-step explanation:

Rational:

36

7/16

81

Irrational:

120

48

pi

The rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

From the definition of rational and irrational number, we can identify the rational and irrational numbers as below:

Rational numbers:

√36 = 6

7/16

√81 = 9

Irrational number:

√120

√48

π

Thus, the rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.

Learn more about the irrational number here:

brainly.com/question/17450097

#SPJ2

Answer:

Consumers Complaints

a) Frequency and Percent Frequency of Complaints by Industry:

Industry    Frequency   % Frequency

Bank            26                 13% (26/200)

Cable           44                22% (44/200)

Car               42                21% (42/200)

Cell              60                30% (60/200)

Collection   28                 14% (28/200)

Total         200               100%

b) The Cellular Phone industry has the highest number of complaints.

c) The percentage frequency distribution of complaints shows that many consumers are not satisfied with the services of their cellular phone providers.  This highest level of service dissatisfaction is followed by services rendered by Cable and Satellite Television Companies and Car dealers, in that order.  Comparatively, less dissatisfaction was showed to Collection and Bank services.

Step-by-step explanation:

a) Data and Calculations:

Bank 26

Cable 44

Car 42

Cell 60

Collection 28

Industry    Frequency   % Frequency

Bank            26                 13% (26/200)

Cable           44                22% (44/200)

Car               42                21% (42/200)

Cell              60                30% (60/200)

Collection   28                 14% (28/200)

Total         200               100%

Answer:

d

Step-by-step explanation:

9514 1404 393

Answer:

  a)  x = 7

  b)  m∠1 = 45°

  c)  m∠2 = 135°

Step-by-step explanation:

a) Same-side interior angles are supplementary, so we have ...

  ∠1 +∠2 = 180

  (7x -4) +(20x -5) = 180

  27x = 189

  x = 7

__

b) The measures of the angles can be found by substituting the value of x into the express for the angle measure.

  m∠1 = 7x -4 = 7(7) -4 = 45

  m∠1 = 45°

__

c) Angle 2 is the supplement of angle 1, so ...

  m∠2 = 180° -45°

  m∠2 = 135°

__

d) We used the relationship of angles at a transversal and the properties of equality.

Answer:

5.1

Step-by-step explanation:

Answer:

number of green ÷ total number of marbles

times by

number of red ÷ total number of marbles left

so

(3/9) × (2/8) = (1/12)

Answer and Step-by-step explanation: In math, a graph, function or equation can be alterated - by shifting, reflecting, stretching or compressing - without losing its original shape. For example, a quadratic function maintains its parabolic shape when shifted.

When an equation is transformed vertically, it means its y-axis is changed. When it is horizontally, its x-axis is modified.

For equation [tex]y=x^{3}[/tex]:

This means the exponential equation will be multiplied by a constant, in this case 3. Then, the new equation is

[tex]y=3x^{3}[/tex]

When an equation is shifted, it's added a constant to it. As it is horizontal, it means it is added to the x and because it is to the right, it is a plus symbol:

[tex]y=x^{3+4}[/tex]

Vertical shift means the equation is 3 units "below" the original equation, so:

[tex]y=x^{3}-3[/tex]

Answer:

its 18

I made sure to check

Answer:

327.08 m/s

Step-by-step explanation:

Given that:

Length of pipe = 2.96m

4th harmonic frequency = 221 Hz

Speed of wave in the horn :

Speed of wave (v) = fλ

For 4th harmonic :

Wavelength, λ = (2/4)L

λ = L/2 ; 2λ = L

2λ = 2.96

λ = 2.96 / 2

λ = 1.48 m

Hence, speed of wave in the horn = 221 * 1.48 = 327.08 m/s

Answer:

option A

Step-by-step explanation:

f(x)+g(x) will lead to addition of the fractions

LCM of 2x and x² is 2x²

{(2x²×½x)+(2x²×4/x²)}/2x²

x+8/2x²

Given:

Length of a cube is 2 cm

To Find:

Surface area of the cube

Solution:

A cube consists of 6 faces.

The area of each face = side x side

So, the total surface area of a cube = 6 x

side x side

Let a be the length of the given cube

: Surface area of a cube = 6a square

a = 2 cm (Given)

Surface area of cube = 6 x 22 =(6 x 4) = 24 cm square.

Hence, the surface area of the given

cube is 24cm square.

Hope it helps!

Answer:

These triangles cannot be proven congruent

Step-by-step explanation:

The 3 angles in ∆FGH are congruent to the 3 corresponding angles on ∆ABC.

These mean that the two triangles have the same shape and we can conclude that they are similar to each other.

However, knowing just the 3 angles is not enough to prove that both triangles are congruent to each other. This is because, for two triangles to be congruent to each other, all 3 angles and 3 sides of one triangle must be congruent to the corresponding 3 angles and 3 sides of the other. That is, they have the same shape and size.

Therefore, the triangles given above cannot be proven congruent.

Answer:

(0,6) ==> y-axis

(5,-2) ==> Quadrant IV

(-1,10) ==> Quadrant II

(5,0) ==> x-axis

(8.7,2.3) ==> Quadrant I

[tex]( - \frac{1}{4} \: \: \: - 6 \frac{1}{2} ) \: = = > quadrant \: iii[/tex]

Answer:

yes but what is your question?

Step-by-step explanation:

Answer:

A rectangular prism is a three-dimensional solid with several properties relating to its shape, volume and surface area.

Hope is that the answer u were looking for  :)

Answer:

b.c

Step-by-step explanation:

Answer:

4x - 7

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

8/3x=4+5/3x

8/3-5/3x=4

x=4

Answer:

B

Step-by-step explanation:

Answer:

[tex]d \approx 10.2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point A (3, -8)

Point B (1, 2)

Step 2: Find distance d

Answer:

10.2

Step-by-step explanation: