he cost in dollars of making x items is given by the function C(x) = 10x + 500.

a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.

b. What is the cost of making 25 items?

c. Suppose the maximum cost allowed is $1500. What are the domain and range of the cost function, C(x)?

The length of the side is 10√2 cm.

To solve this problem we need to know the concepts of area of plane figures.

We know the  area of a square is the square of its sides.

Now, the given data says that the area of a square game board is 200  sq.cm.

Let the side of the square be a cm.

According to question,

    a × a=200

⇒ a² = 200

⇒ a = √200

∴ a = 10√2 cm

So, the length of one side of the square game board is  10√2 cm.

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The actual area of Zahra's office is 50ft².

Proportions are used to solve scale problems using the rule of three.

The drawing is scaled from 6 cm to 15 ft, which means that each 6 cm represents 15 ft of real dimensions.

The length in the drawing is 4 cm, so:

Cross multiplication is used:

Her actual office measures are 10 feet long.

The width is 2 cm, so:

Cross multiplication is used:

Her actual office measures are 5 feet wide.

Formula of area: l × b

Therefore, the actual area of Zahra's office is 50ft².

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Answer:

5/9

Step-by-step explanation:

When you divide 5 by 9, you will get 0.5 repeating. I know the answer because I had this question on Acellus.

Answer:

$534.87

Step-by-step explanation:

($849)30%

=$254.7

subtract product from original sum $849-254.7=

$594.3

($594.3)10%=

59.43$

594.3$-59.43$=

534.87$

Answer:

68

Step-by-step explanation:

Answer:

For this particular problem (with units in mind), the formula for arc length is

Arc length

=

2

π

r

⋅

(

x

360

∘

)

,

Where

x

is the central angle measure and

r

is the radius of the circle.

You don't really have to work too hard to remember this formula. The arc length formula is easy to remember because it is just the circumference of the circle times the central angle over

360

∘

.

Anyway, let's continue with the problem. We are given that the central angle is

60

∘

, and that

r

, our radius, is

9

feet. So, let's plug that into our equation to find the arc length, in feet:

Arc length

=

2

π

r

⋅

(

x

360

∘

)

Arc length

=

2

π

(

9

)

⋅

(

60

∘

360

∘

)

Now, you might be tempted to plug this in your calculator, but let's simplify it a little bit more.

Arc length

=

2

π

(

9

)

⋅

(

60

∘

360

∘

)

Arc length

=

18

π

⋅

(

1

6

)

Arc length

=

3

π

feet

So, if you wanted an exact answer, it would be that the arc length is

3

π

feet

. If you wanted an approximate answer, then you can type

3

times

π

in your calculator to get a value of about

9.425

feet

as you alternative answer.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

becasue one is shaded in so it's is going to be a mixed number and there is 15 other shaded blocks so 15/100 is 3/20 so the answer is 1 and 3/20

Answer:

D

Step-by-step explanation:

All work and the answer is provided in the attached screenshot! :)

Answer:

92 degrees

Step-by-step explanation:

-2 is 2 degrees from 0. the high is 90. Add them together for 92 :)

Answer:

92 degrees

Step-by-step explanation:

90 - (-2) = 92

The value of the composite function (f o g)(3) is 1603

The functions are given as

f(x) = 3x² - 7x - 3

g(x) = -4x - 10

Next, calculate (f o g)(x) using

(f o g)(x) = f(g(x))

So, we have

(f o g)(x) = 3(-4x - 10)² - 7(-4x - 10) - 3

Substitute 3 for x.

So, we have

(f o g)(3) = 3(-4 x 3 - 10)² - 7(-4 x 3 - 10) - 3

Evaluate

(f o g)(3) = 1603

Hence, the value of the composite function (f o g)(3) is 1603

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Answer:The answer is a.

Step-by-step explanation:I hope this helps.

The result of the evaluation as given in the task content is; -42/25.

It follows from the task content that the result of the evaluation is required.

First, -3.6 and 2 1/7 can be converted to fractions as follows;

-3.6 = -36/10 = -18/5

2 1/7 = 15/7

Hence; −3.6 ÷ 2 1/7

= -18/5 ÷ 15/7

= -18/5 × 7/15

= -42/25.

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Answer:

x = 2,495 units

Step-by-step explanation:

16000 + 9.45x = 55.95x

by solving we find:

x = 344 units

the company must sell 344 units to break even.

b) How many units must the company sell to make a profit of $100,000?

55.95x - (16000 + 9.45x) = 100000

Answer:

x=2

Step-by-step explanation:

[tex]\cfrac{34}{75}\div \cfrac{51}{100}\implies \cfrac{34}{75}\cdot \cfrac{100}{51}\implies \cfrac{34}{51}\cdot \cfrac{100}{75}\implies \cfrac{2}{3}\cdot \cfrac{4}{3}\implies \cfrac{8}{9}[/tex]

Answer:

Step-by-step explanation:

2x

By dimensional analysis and the conversion factor between feet and yards, we find that a square yard is equal to a quantity of 3² square yard, that is, a quantity of 9 square feet. (Correct choice: C)

In accordance to dimensional analysis, area units are equal to the square of length units, that is, length unit multiplied by length unit. That is:

[A] = [L] × [L] = [L]²

Where:

L - Length unit

A - Area unit

If a yard is equal to a quantity of three feet, both length units, then a square yard is equal to a quantity of 3² square feet, that is, a quantity of 9 square feet, both area units. Therefore, we can construct the following conversion factor:

1 square yard = (3 feet)² = 9 square feet

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Answer:

B. 3.96

Step-by-step explanation:

use a calculator to solve the answer unless it's a sentence

If 8 less than the product of 6 and the difference of a number and 2 is twice the number, then the number is 5.

As per the question statement, 8 less than the product of 6 and the difference of a number and 2 is twice the number.

We are required to calculate the number.

To solve this question, let us assume that our concerned number is "x". Now, we will form a linear equation of single variable, based on the conditions mentioned in the question statement, and solving for "x", we will obtain our desired answer.

[tex][6(x-2)-8]=2x\\or, 6x-12-8=2x\\or,6x-(12+8)=2x\\or,6x-20=2x\\or,6x-2x=20\\or, 4x=20\\or, x=\frac{20}{4} =5[/tex]

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is there an image ? or just question

The parent function of the function y =  2x² - 6 is y = x². The explanation about transformation is given.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

We have the quadratic function,

y = 2x² - 6

To find the parent function:

Add

y(x) = 2x²

Divide by 2

y(x') = x²

If there is a horizontal or vertical shift, reflection around the x-axis or y-axis, or vertical stretch, the transformation may be found by comparing the equation to the parent function.

Parent Function:

y = x²

Horizontal Shift: None

Vertical Shift: Down 6 Units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

Therefore, the parent function is y =  x².

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The y-intercept of a graph is the point, where the graph crosses the y-axis. and The graph with the given details is graph (c).

According to the statement

We have to find that the correct graph which represent the domain.

So, For this purpose, we know that the

The domain of a function is the set of all possible inputs for the function.

From the given information:

The function that has the domain (–∞, –4) ⋃ (–4, 3) ⋃ (3, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4).

Then

we have given a four graphs as a option which are in the image below after seeing that we know that the:

From the list of given options. graph (d) includes a y intercept of two, because it crossed the y-axis at y = 2.

So, graph (d) can not be the desired graph

And then

Graph (a) features a domain of: (–∞, –5)

So, graph (a) can't be the desired graph

And then

The domain of graph (b) is [-3,3]

So, graph (b) can't be the desired graph.

Hence, the required graph is graph (c).

So, The y-intercept of a graph is the point, where the graph crosses the y-axis. and The graph with the given details is graph (c).

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Answer:

Consider points (1, 0) and (2, 2)

[tex]{ \tt{y = mx + c}} \\ [/tex]

m is the slope

[tex]{ \tt{m = \frac{2 - 0}{2 - 1} = 2 }} \\ [/tex]

Therefore

[tex]{ \tt{y = 2x + c}}[/tex]

consider point (1, 0);

[tex]{ \tt{0 = (2 \times 1) + c}} \\ { \tt{c = - 2}}[/tex]

Equation of line is;

[tex]{ \tt{y = 2x - 2}}[/tex]

With algebraic operations, the value becomes 0.8.

According to the statement

We have to find that the value of the statement.

So, For this purpose, we know that the

Algebraic operation is any combination of a finite number of the operations of addition, multiplication, subtraction, and division.

And the The four basic algebraic operations are addition, subtraction, multiplication and division.

From the given information:

The result of 10 - 9.2

Then

10 - 9.2

Here we add to subtract the given terms

Then after subtracting the terms the value of the statement become

0.8

Then with the help of the algebraic operation the value becomes 0.8.

So, With algebraic operations, the value becomes 0.8.

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The measure of the angle 1 is 95.05 degrees.

It is given in the question that:-

Measure of Angle 1 = 7x + 10

Measure of Angle 2 = 3x + 4

Measure of Angle 3 = 3x + 8

All the angles are supplementary.

We know that, the sum of all the supplementary angles is equal to 180 degrees.

Hence, we can write,

(7x + 10) + (3x + 4) + (3x + 8) = 180

(7x + 3x + 3x) + (10 + 4 + 8) = 180

13x + 22 = 180

13x = 180 - 22

13x = 158 degrees

x = 158/13 degrees

x = 12.15 degrees (rounded off  to the hundredths place )

Hence,

Measure of angle 1 = 7x + 10 = 7(12.15) + 10 = 85.05 + 10 = 95.05 degrees.

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The price of the file is Rs 89.18  and pen is Rs 109.43 as calculated from a linear equation .

An equation is said to be a linear equation if the maximum power of the variable is consistently 1.

Let us consider the cost of the file be x dollars.

Then cost of the pen = x + 20.25

And cost of the book = x + 20.25 - 13.20 = x - 7.05

The cost of all three items together is 280.75

Now we will form a linear equation in x to find the cost of each of the pen, book and file separately.

x + x + 20.25 + x - 7.05 = 280.75

or, 3x + 13.20 = 280.75

or, 3x = 267.55

or, x = 89.18

Hence the cost of the file is approximately Rs 89.18

Cost of the pen = 89.18 + 20.25 = Rs 109.43

Cost of the book =  x - 7.05 = 89.18 - 7.05 = Rs 82.13

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x = 0.25 , y= -0.5 , (x, y) represents the point (0.25,-0.5) in fourth quadrant of the cartesian plane as shown in the graph below attached.

What are cartesian coordinates in two dimensions ?

A Cartesian coordinate system in two dimensional is defined by x and y axes. Any point in the  coordinate system is defined by a perpendicular distance from  the x and y axes, (x, y). x and y  axes intersect at the point where the value of  x and y both is zero; this is called the origin (0,0)

Given ordered pair is ( 1/4, -1/2)

put (x,y) = ( 1/4, -1/2)

x= 1/4 =0.25  and y =(-1/2) = -0.5

This point lie in 4th quadrant

The point in the attached file represents  the given point.

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The number of volunteers who are selected for the tennis tournament is 40 as calculated by the fractions.

A fraction, which derives from the Latin word fractus, which means "broken," is a portion of a whole or, more broadly, any number of equal pieces. A fraction in spoken English refers to the number of components of a particular size.

A fraction consists of a numerator and a denominator. The numerator divided by the denominator is known as a fraction.

Compound fractions, complicated fractions, and mixed numeral fractions are examples of uncommon fractions that use numerators and denominators.

There are a total of 200 applicants who volunteered at the tennis tournament.

1/4 of the volunteers were successful.

Number of successful applicants= [tex]\frac{1}{4} \times 200=50[/tex]  

Now 1/5 of the successful candidates could not complete the training.

Number of unsuccessful candidates= [tex]\frac{1}{5} \times 50=10[/tex]

Number of Volunteers selected to help at the tournament= 50-10=40

Hence 40 candidates were selected to help at the tournament.

Disclaimer: The complete correct question is :

200 applicants applied to volunteer at an international tennis tournament.1/4th of the applicants were successful. However, of the successful applicants, 1/5th couldn’t make all the training sessions and were discounted. How many were selected to help at the tournament?

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Answer:

No, it is not given

Step-by-step explanation:

the order of golfers from 1st to 5 th is Trevor, Heather, Wanda, Jackie and Alphonso.

we are given that:

at the end of amini golf match,

Heather was 2 over par

So, Heather = 2

Alphonso was 3 under par

Alphonso = - 3

Jackie was par

Jackie = 0

Wanda was I under pa

Wanda = 1

Trevor was 4 over par.

Trevor = 4

Now arranging the integers from 1st to 5th place,

Trevor = 4 is 1st

Heather = 2 is 2 nd

Wanda = 1 is 3rd

Jackie = 0 is 4th

and Alphonso = - 3 is 5th

Therefore, the order of golfers from 1st to 5 th is Trevor, Heather, Wanda, Jackie and Alphonso.

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Answer: 5<x<9

Step-by-step explanation:

Graph is from 5 to 9, not including 5 and 9. Let's say x is all the values from 5 to 9, not including 5 and 9.

So, answer is 5<x<9