he cost of manufacturing a particular videotape is ​C(x)9000​9x, where x is the number of tapes produced. The average cost per​ tape, denoted by ​, is found by dividing by x. Find .

Answers

Answer 1

Answer:

The average cost per​ tape is 10.

Step-by-step explanation:

The cost of manufacturing a particular videotape is :

C(x) = 9000+9x

Where

x is the number of tapes produced.

We need to find the value of average per tape i.e. [tex]\lim_{x \to 9000} \bar C(x)[/tex]

[tex]\bar C(x)=\dfrac{9000+9x}{x}\\\\=\dfrac{9000}{x}+9\\\\ \lim_{n \to 9000} \bar C(x)=\dfrac{9000}{9000}+9\\\\=1+9\\\\=10[/tex]

So, the average cost per​ tape is 10.


Related Questions

Four more than twice a number is -10.

Answers

Answer:

4 + ( -7 X 2 ) = -10

Step-by-step explanation:

Check work:

-7 times 2 is -14.

4 + -14 = -10

It is -10 hope it’s right

A famous recipe for New Orleans jambalaya calls for 1 1/4 cups of Gulf shrimp. The recipe serves 5 people. Trinetta and Agnes want to serve 12 people, so they increase all the ingredients proportionally. How much Gulf shrimp is required for the new recipe?

A. 1 2/5
B. 5/12
C. 3 cups
D. 4/5 cups
E. 7 cups​

Answers

Answer: C. 3 cups

Step-by-step explanation:

Given: In recipe for 5 people, Required Gulf shrimp = [tex]1\dfrac14[/tex] cups

Since, [tex]1\dfrac14=\dfrac{5}{4}[/tex]

Required Gulf shrimp = [tex]\dfrac54[/tex] cups

Then, for 1 people Gulf shrimp required = [tex]\dfrac{5}{4}\div 5[/tex]

[tex]=\dfrac54\times\dfrac{1}{5}[/tex]

[tex]=\dfrac14[/tex] cup

For 12 people, it is required = [tex]12\times\dfrac14 = 3\text{ cups}[/tex]

Hence, 3 cups of gulf shrimp is required for new recipe.

So, correct option is C. 3 cups


Order from least to greatest:
-5/6,0.567,-0.11,-1/4

Answers

Answer:

-5/6,-1/4,-0.11,0.567

Step-by-step explanation:

If x-5=12, what is the value of x-9?

Answers

Answer

8

Step-by-step explanation:

5+12=17 and 17-9=8

8(3x-2)-8x=9(2x-6) find x

Answers

if i’m solving it correctly x = 4

Answer:

x=19

Step-by-step explanation:

8(3x-2)-8x=9(2x-6) Distribute.

24x-16-8x=18x-54   Combine like terms.

16x-16=18x-54         Subtract 16x from both sides (getting rid of a variable first  

-16x     -16x               is easier).

-16=2x-54                 Add 54 to both sides.

+54    +54

38=2x                       Divide both sides by 2.

/2   /2

19=x

Hope this helps!! Have a great day ^^

What is the reciprocal of 7/11 in simpliest form

Answers

Answer:

11/7is your answer ....

Step-by-step explanation:

hope its help you

−126 = 14k
MAKE SURE TO SHOW YOUR WORK PLEASE HURRY

Answers

Answer:

k = -9

Step-by-step explanation:

When a number (coefficient) is next to a letter (variable) that means you multiply. To solve you would to the opposite, which is to divide.

-126 ÷ 14 = -9

So -9 is equal to k.

Hope that helps and have a great day!

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-x^2+78x-543

Answers

Answer:975

Step-by-step explanation:

If 2,x,18,and15y are in the proportion find the value of x

Answers

Answer:

if your proportion is  [tex]\frac{2}{x}[/tex] = [tex]\frac{18}{15y}[/tex]  then your answer would be 1.667 or 1 [tex]\frac{2}{3}[/tex]

edit: your answer could also be [tex]\frac{5}{3}[/tex]

Answer is going to be 5/3

Provide the correct justifications for each statement in the derivation of the tangent difference identity.
1.

identity

2. Trigonometric

identities

3. Divide numerator and denominator by


4. Factor out common factors using the quotient identity.

Answers

Answer:

1: Quotient

2: Difference

3: cos(x)cos(y)

Step-by-step explanation:

I just did it on Edge :)

Answer:

Step-by-step explanation:

it's right here lol

Combine like terms 17y-15y

Answers

just subtract it like normal numbers like
17-15 = 2 now just add y 17y-15y = 2y

Answer:

2y

Step-by-step explanation:

Since 17y and 15y both have a y, you can combine it. You can subtract 17-15 to get 2, so the answer is 2y.

The employees of a firm that manufactures insulation are being tested for indications of asbestos in their lungs. The firm is requested to send three employees who have positive indications of asbestos to a medical center for further testing. If 30% of the employees have positive indications of asbestos in their lungs, find the probability that eleven employees must be tested in order to find three positives. (Round your answer to three decimal places.)

Answers

Answer:

0.070

Step-by-step explanation:

Y = number on trial

Y has a negative binomial distribution

r = 3

P = 30% = 0.3 probability of positive indication.

P(Y = 11) probability of 11 employees that must be tested to get 3 positives

Y-1Cr-1*p^r*q^(y-r)

Y-1 = 11-1 = 10

r-1 = 3 -1 = 2

10C2 x 0.3³x0.7⁸

45x0.027x0.05764801

= 0.070

This is the probability that 11 employees must be tested to get 3 positives.

In an office building, 39 offices are currently being rented. This represents 30% of the total units. How many offices are there in the building?
There are __ offices in the building

Answers

Answer:

130 offices are in the building

Step-by-step explanation:

first 39/x = 30/100

secondly, you cross multiply 39 x 100 and 30 x x

100 x 39= 3900

3900/30 = 130

Answer:

ANS. = 130

30% or 30/100=39offices

use cross multiplication

100/30 x 39/1 (note 30/100 is inversed to 100/30) math. law

10/3 x 39/1 (using divisor 10)

10/1 x 13/1 (using divisor 3)

10 x 13 = 130

Ans = 130 offices

Ans.Checked

30% of 130 offices

30/100 x 130/1

3/10 x 130/1 (10 as divisor)

3/1 x 13/1 (10 as divisor)

3 x 13 = 39

39 offices

Q.E.D

Gordon types 2,448 words in 36 minutes. Find the unit rate.

Answers

Answer: 68 words

Step-by-step explanation: 2448 / 36 = 68

Answer:

68 Words

Step-by-step explanation:

68 words in a minute if you divide 2448 by 36

solve ??? If any1 can

Answers

Answer:

125

Step-by-step explanation:

180-75-50=55 180-55=125

Answer:

s=130

Step-by-step explanation:

the flat line is 180 so to find out S you have to subtract 50 from 180

hope this helps:)

Jim is an archaeologist who wants to determine the age of a fossil. The half-life of Carbon-14 is 5730 years. Jim determines there must have been 6.6 grams of Carbon-14 in the fossil when the animal was alive. Now there is only 1.2 grams of Carbon-14 remaining. What is the age of the fossil?

14,092.54
13,119.45
16,345.18
15,540.97

Answers

Answer:

14,092.54

Step-by-step explanation:

I just had this question and got it right.

kevin and joe each manage a shop that sells CDs. Kevin’s shop is in the high street and Joes is in the rentail park.

Answers

Answer:

Number of CDs sold each day Frequency

0 – 10 10

11 – 20 34

21 – 30 24

31 – 40 13

41 – 50 7

51 – 60 12

What is the product of -3(-6r+6)

Answers

Step-by-step explanation:

-3 times -6r= 18r

-3 times 6 =-18

18r=-18

R=-1

If the answer is wrong try just 1

Answer:

0

Step-by-step explanation:

remove r first

-3(-6+6)

-3x-6= 18 -3x6|=-18

18-18=0

or

-3(-6+6)

=-3(0)

=-3x0

=0

don't forget the r you removed which equals to one

so you got 1

-3(-6r+6)=1

wish it could help

Can someone please help me with this, I will mark you as brainliest

Answers

Answer:

1st answer is 1/2x^5

2nd answer is m^3/16p^2q^2

3rd answer is 2r^4+9r^3

The Diameter Of a circle is 10 cm. find its area in terms of pi

Answers

Area = 1/2 x pi x diameter squared

A = 1/2 x 3.14 x 10^2

Answer = 78.54

Hope this helps. If it’s too confusing, I can simplify it.

Which of the following is equal to the fraction below?
(5/9)^8

Answers

(5/9)^8=5^8/9^8.
Hope I’m right I don’t really know this stuff

What is the value of y=-1/2x +5

Answers

There are three possible answers

 Slope = -1.000/2.000 = -0.500

 x-intercept = 10/1 = 10.00000

 y-intercept = 10/2 = 5

If this is helpful please mark brainliest. Have a great day

karla sings for 45 mins for y days each week. on the other days of the week, she plays piano for 1.5 hours. Write an expression for the total number of hours kara sings and plays the piano each week.

Answers

Answer:

(10.5 - 0.75y) hours

Step-by-step explanation:

Number of days in 1 week = 7 .

Number of days in a week  Karla sings = y

Number of days Karla plays piano in a week  = Number of days in 1 week - Number of days in a week  Karla sings

Number of days Karla plays piano in a week  = 7 - y

In 1 day Karla sings for =  45 minutes

60 minutes = 1hour

45 minutes = 1/60 * 45 = 3/4 hours = 0.75 hours

In y days time for which Karla sings = y *0.75 hours= 0.75y hours

Time for which Karla plays piano in 1 day = 1.5 hours

Time  for which Karla plays piano in (7-y) day = 1.5*(7-y) hours

Total time in hours  for which karla sings and plays the piano each week

= 0.75y + 1.5*(7-y)

= 0.75 y + 10.5 - 1.5y

= 10.5 - 0.75y

Thus,  total number of hours karla sings and plays the piano each week is 10.5 - 0.75y hours

Write the whole number 7 as an improper fraction.

Answers

Improper Fractions means

The numerator is greater than (or equal to) the denominator. 

Then the Answer is :

[tex] = \dfrac{21}{3} [/tex]

How many numbers are 10 units from 0 on the number line?​

Answers

Answer:

2 Numbers; -10, and 10.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

10 and -10

If X is a random variable with expected value 2, then the expected value of 5X will be:______

Answers

Answer:

E(5X) = 10

Step-by-step explanation:

The expected value of a random variable X is denoted as; E(X)

Now we are told it's equal to 2.

Thus;

E(X) = 2

Now, we want to find the expected value of 5X

We will use the principle from expected value derivations below;

E(cX + d) = cE(X) + d

Also;

If E(X) = z

Then;

E(aX) will give; aE(X) = az

From our question, we have;

E(X) = 2

Thus;

E(5X) = 5E(X) = 5 × 2 = 10

Which inequality is represented by the graph?
A. y > -2/3x+1
B.y < -2/3x +1
C.y < -3/2x +1
D.y> -3/2x +1

Answers

Answer:C

Step-by-step explanation:

56x + 40 = 48x + 104

Answers

Answer:

56x-48x=104-40

8x=24

X=3

Step-by-step explanation:

the answer is 8                      

]explanation subtract 56-48 and 104-40 you should get 8x=64

divide 8/8 and 64/8 and the answer is 8            

Select the correct answer from the drop-down menu.

A company sells its products to distributors and boxes of 10 units each. it's profits can be modeled by this equation, where p is the profit after selling n boxes.

p = -n² + 300n + 100,000

Use this equation to complete the statement.

The company breaks even, meaning the profits are only $0, when it sells _____ boxes.

Options for Blank:

A: 200 or 500

B: 500

C: 150

D: 200​

Answers

Answer:

B. 500

Step-by-step explanation:

Given the profit made by a company modeled by the function

p = -n² + 300n + 100,000

The company breaks even when p = 0

To get the number of boxes sold when the company breaks even, we will substitute p = 0 into the equation.

0 = -n² + 300n + 100,000

multiply through by -1

0 = n² - 300n - 100,000

n² - 300n - 100,000 = 0

(n² - 500n) + (200n - 100,000) = 0

n(n-500)+200(n-500) = 0

(n+200)(n-500) = 0

n+200 = 0 and n-500 = 0

n = -200 and n = 500

Since n cannot be negative

Hence n = 500

This means that the company breaks even when it sells 500 boxes

Convert 5/6 into a decimal

Answers

Answer:

Divide the numerator, 5, by the denominator, 6, to express the fraction 5/6 as a decimal. You can do this on either a calculator or using long division by hand. The answer will equal 0.83333 with the number 3 repeating endlessly.

Step-by-step explanation:

We can write 5/6 into a decimal as 0.84.

What is decimal numeral system?

The decimal numeral system is the standard system for denoting integer and non-integer numbers.

Given is to write 5/6 into a decimal.

We can write 5/6 as a decimal below -

{x} = 5/6

{x} = 0.84

Therefore, we can write 5/6 into a decimal as 0.84.

To solve more questions on decimal, visit the link below -

https://brainly.com/question/4954886

#SPJ5

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