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

|x |-8= -5
what's the answer​

Answers

Answer:

|x |-7 = -5     ( x = -3 )

Step-by-step explanation:

3 :::::::::::::::::::

your job requires that you work at least 40 hours a week you have already worked 15 and there are 4 more days left in the week how many hours do you have to work each day to get at least 40 hours: inequality and solution

Answers

Answer:

6.25 hours

Step-by-step explanation:

this is rather simple really,

first, you have to work 40 hours a week

you have already worked 15 so now you can subtract that

40-15= 25hrs

if you have 4 more days of the week you divide the remaining hours by the days left

25/4= 6.25hrs

that would be the bare minimum of hours for you to work a 40 hour week.

Translate the sentence into an equation.
Seven times the sum of a number and 2 is 6.
Use the variable y for the unknown number.

Answers

Answer:

7(y+2)=6

Step-by-step explanation:

its right

Becky needs a $5,000 loan in order to buy a boat. Which loan option would allow her to pay the LEAST amount of interest?
A)
A 24-month loan with a 6.25% annual simple interest rate.
B)
A 30-month loan with a 5.75% annual simple interest rate.
0)
A 36-month loan with a 4.00% annual simple interest rate.
D)
A 42-month loan with a 3.75% annual simple interest rate.

Answers

Answer:b

Step-by-step explanation:

find the sum of 2x ÷ x-1 and x÷x-1​

Answers

Answer with step-by-step explanation:

First of all, ORDER OF OPERATIONS!! 2x/x is 2/1, which is 2. Then, subtract 1, which is 1.

2x ÷ x - 1 = 1

Same thing: x/x = 1. Subtract 1 from 1, which is 0.

x ÷ x - 1 = 0

1 + 0 = 1

Hope this helped!

Its late and i need this pls









Gretchen made a paper cone to hold a gift for a friend. The paper cone was 11 inches high and had a radius of 4 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.


The volume is ___in^3

Answers

Answer:

184.2 in^3

Step-by-step explanation:

vol of cone=

[tex]\pi {r}^{2} \frac{h}{3} [/tex]

[tex]3.14 \times 16 \times \frac{11}{3} [/tex]

=184.2

I need help please thanks
find x when y = 18, if y = 9 when x = 8
ASAP PLEASE

Answers

so

y=9 -> y=18

       *2

x=8 -> x=16

       *2

so x = 16

Answer:

the only logical way solving this question is:

if y=9 then x=8

if y=18 then x should be 16

Step-by-step explanation:

I cant find any other way to solve

natalie budgets $150 for yoga training but doesn’t want to spend all of that money. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of day,d, that Natalie can take classes and stay under (less than) her budget?

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) I hope I helped you ◉‿◉

the first number in the pattern is 32 the rule is to add 27​

Answers

Answer:

59

Step-by-step explanation:

Seventeen less than a number
is negative two. What is that
number?

Answers

Answer:15

Step-by-step explanation:

15-17=-2

Answer:

15

Step-by-step explanation:

15

A square patio has an area of 135 square feet. How long is each side of the patio to the nearest tenth?
Each side of the patio is approximately
feet long.

Answers

11.6 because the square root of 135 is 11.61885.... and when you check it is approximately 135 because 11.6 *11.6 = 134.56, which can be rounded to 135

The table shows the unit prices (per pound) of tomatoes
at different stores.
Store
Tomato Unit Prices
Jamal needs to buy 3.25 lb of tomatoes. If Jamal only
has $10, from which store(s) could he purchase his
tomatoes? Check all that apply.
Store A
Store B
Store C
Store D
Store E
A
$3.10 per pound
B
$3.02 per pound
с
$2.97 per pound
D
$3.07 per pound
E
$3.09 per pound

Answers

Answer:

store B, C, and D

Step-by-step explanation:

2a-3b=4, solve for b

Answers

Answer:

b= - 4/3 + 2a/3

Step-by-step explanation:

The required simplified expression for b is b = [2a - 4] / 3.

Given that,
An expression is given,
2a -3b = 4
The above-given expression should be reorganized in order to solve b.

What is arithmetic?

Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
2a - 3b = 4
-3b = 4  - 2a
b = [4 - 2a ] / -3
b = [2a - 4] / 3

Thus, the required simplified expression for b is b = [2a - 4] / 3.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Solve the following equation for x using inverse operations 7x-15=1

Answers

Answer:

x = [tex]\dfrac{16}{7}[/tex]

Step-by-step explanation:

Equation

7x - 15 = 1 → Move the -15, reversing the sign:

7x = 1 + 15 → Solve the sum:

7x = 16 → We have a fraction:

x = [tex]\dfrac{16}{7}[/tex]

x = 2.28571428571

To keep it simple, the answer could be just [tex]\dfrac{16}{7}[/tex].

Hope this helps!

Good studies!

The solution of the equation for x is;

⇒ x = 16/7

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression is given as;

7x - 15 = 1

Now, Solve the expression for x by using inverse operations as;

7x - 15 = 1

Since 15 is subtract and inverse of subtraction is addition.

Hence,

Add 15 both side we get;

7x - 15 + 15 = 1 + 15

7x = 16

7 is multiply by x, and inverse of multiplication is divide;

So, Divide by 7 both side;

x = 16/7

Thus, The solution of the equation for x is;

⇒ x = 16/7

Learn more about the inverse operations visit:

https://brainly.com/question/17136818

#SPJ5

consider the Following equation.
[tex]4x + 3y = 7[/tex]
Determine the missing coordinate in the orderd pair (-4,?) so that it will satisfy the given equation.
Answer: (-4,______)​

Answers

Answer:

23/3

Step-by-step explanation:

x=-4

plug x into equation

4(-4)+3y = 7  

-16+3y = 7

3y=23

y=23/3

HELP!!!!!!!


What is 2 8/10 + (-3.5) in decimal form

Answers

Answer: -0.7

Step-by-step explanation:

Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3/4
of a minute. At what rate does Toby load passengers?

Pleaseeee

Answers

Answer:

13 1/3

Step-by-step explanation:

im sure this is right btw

B^2 + 11b + 18 ( Factor the question)
Help please!

Answers

(x+2)(x+9)
................................

Answer:

=b^2+(9+2)b+18

=b^2+9b+2b+18

=b(b+9)+2(b+9)

=(b+9)(b+2)

Help!!!!!!!Plz!!!!!!!

Answers

Answer:

I'm so confused

Step-by-step explanation:

Write the following as an inequality. 9 is greater than x, and 3 is less than x Use x only once in your inequality. also please understand that two people need to answer the question for me to give brainiest, and yes once two people answer I will choose brainliest for whoever is correct

Answers

Answer:

9>x>3

Step-by-step explanation:

the open side always faces the greater value

Question:
7x^2 + 8x = x^2

Answers

Answer:

x1= -4/3 and x2= 0

Step-by-step explanation:

That answer is correct

estimate the answer for 1 2/3 x 5 1/10 (type a whole number​

Answers

Answer:

Exact Form:

17/2

Decimal Form:

8.5

Mixed Number Form:

8 1/2

A gallon of gas costs an average of two dollars is Betty spends $144 a month on gas determine how many gallons of gas she uses a month

Answers

Answer:

she uses 72 gallons

Step-by-step explanation:

just do 144/2 and the answer is 72

if you wanna check your answer just do 72x2 and it equals 144

72 galloons because 144 divided by 2 which is the price per gallon then it is 72

A newspaper is launching a new advertising campaign in order to increase the number of daily subscribers. The newspaper currently ​(t​0) has​ 26,000 daily subscribers and management expects that​ number, S(t), to grow at the rate of subscribers per​ day, where t is the number of days since the campaign began. How long​ (to the nearest​ day) should the campaign last if the newspaper wants the number of daily subscribers to grow to​ 49,000?

Answers

Answer:

57 days

Step-by-step explanation:

Given that:

t(0) = 26000

Growth rate (S'(t)) = 80t^1/2

Targeted number of subscribers = 49000

Take the integral of the growth rate :

∫80t^1/2dt = [(80t^(1/2 + 1)) / 1/2 + 1] + C

[(80t^(1/2 + 1)) / 1/2 + 1] + C = (80t^3/2) / 3/2 + C

(80t^3/2) * 3/2 + C = (160/3)t^3/2 + C

(160/3)t^3/2 + C

Let C = t(0)

(160/3)t^3/2 + 26000 = 49000

(160/3)t^3/2 = 49000 - 26000

(160/3)t^3/2 = 23000

Multiply both sides by 3/160

t^3/2 = 23000* 3/160

t^3/2 = 69000/160

t^3/2 = 431.25

t^(3/2 * 2/3) = 431.25^2/3

t = 57.080277

t = 57 days (approx.)

I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?

Answers

Answer:

18

Step-by-step explanation:

The tens digit a is cubed (a³ ) still less than the biggest possible 1 -digit number . It can be only 0 or 1 , so even 2³ =8 ( in such case the unit digit is 15,- that's  not possible) .

0 can not be the the first digit in 2 digit number. So the only possible tens digit is 1. So the unit number is 1+7=8.

Answer 18

Answer:

18

Step-by-step explanation:

You have 8 donuts and you want to give 1/4 of them to a friend. How many donuts would your friend get?​

Answers

Answer: pretty sure the friend would get 2 donuts

Step-by-step explanation:

Xis normally distributed with mean 1,000 and standard deviation 250. What is the probability that X lies between 800 and 1, 100?

Answers

Answer:

0.4435

Step-by-step explanation:

Given that :

X is normally distributed:

mean(m) = 1,000

standard deviation (s) = 250

probability that X lies between 800 and 1,100?

Using the relation :

X = 800

Zscore = (x - m) / s

Zscore = (800 - 1000) / 250

Zscore = - 200 / 250

Zscore = - 0.8

P(Z ≤ - 0.8) = 0.2119

X = 1100

Zscore = (x - m) / s

Zscore = (1100 - 1000) / 250

Zscore = 100 / 250

Zscore = 0.4

P(Z ≤ 0.4) = 0.6554

P(Z ≤ 0.4) - P(Z ≤ - 0.8)

0.6554 - 0.2119

= 0.4435

The sweet shoppe sells a half dozen cupcake for $16.50. The cupcake factory sells a dozen cupcake for $30.00. Jameska purchases two cupcake from each shop what is the different in the purchases

Answers

Answer:

1.50 is the answer

Step-by-step explanation:

yeah I had it on a question yw

Answer:

eggffdf

Step-by-step explanation:

sfdsffgfddfdkkhsdghskjgfhjgdfjhdgdhdsdfh

What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-9, 5) ?(−9,5)? Write your answer in simplest form.

Answers

Answer

-4/3

Step-by-step explanation:

I need help the instructions say go left to right

Answers

A would go to 4
B would go to 3
C would go to 2
D would go to 1
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