AC if TC = 20q + 10q^2?

Answers

Answer 1

Answer:

AC = (20+ 10q)

Step-by-step explanation:

Given that,

Total cost, TC = 20q + 10q²

We need to find AC i.e. average cost.

It can be solved as follows :

[tex]AC=\dfrac{TC}{q}\\\\AC=\dfrac{20q + 10q^2}{q}\\\\AC=\dfrac{q(20+ 10q)}{q}\\\\AC={(20+ 10q)}[/tex]

So, the value of AC is (20+ 10q).


Related Questions

The cardinal number of {200, 201, 202, 203, ..., 1099}

Answers

Answer:

I have not been able to answer it sorry

-11 + 4(3+1) + 3(5-9) + 7(6-8) + 25

Answers

Answer:

4

Step-by-step explanation:

-11 + 4(3+1) + 3(5-9) + 7(6-8) + 25

-11+4*4+3*-4+7*-2+25

-11+16+-12+-14+25

4

Jun 29, 8:51:41 AM
Find the volume of a pyramid with a square base, where the perimeter of the base is
10.7 ft and the height of the pyramid is 9.8 ft. Round your answer to the nearest
tenth of a cubic foot.

Answers

9514 1404 393

Answer:

  23.4 ft³

Step-by-step explanation:

In terms of the perimeter of the square base, the volume of a pyramid can be found using the formula ...

  V = (1/48)P²h . . . . . where P is the base perimeter and h is the height

  V = (1/48)(10.7 ft)²(9.8 ft) ≈ 23.4 ft³

_____

Additional comment

The relevant formulas usually used are ...

  P = 4s . . . . perimeter of a square with side length s

  A = s² . . . . area of a square with side length s

  V = (1/3)Bh . . . . . volume of a pyramid with base area B and height h

Solving the perimeter equation for s, and using that result in the other formulas, we get ...

  s = P/4

  B = (P/4)² = P²/16

  V = 1/3(P²/16)h = (1/48)P²h . . . . the formula used above

Using this result saves the effort of computing the intermediate values of side length and base area.

y is inversely proportional to the square of x. If y=4 when x=6 then what is y when x is 8?

Answers

Step-by-step explanation:

y=k/x

4=k/6 4*6=k =24 . if x=8, y=24/8,y=3

WILL GIVE BRAINLIEST!!! I WILL BE VERY GRATEFUL IF YOU HELP ME ASAP

Answers

Answer:

According to me its 90 degree

Step-by-step explanation:

The sum of 5 consecutive even numbers is 250. What is the fourth number in this sequence?

Answers

Answer:

Our fourth number is 52.

Step-by-step explanation:

Let our first even number be x.

Then the second even number must be (x + 2), the third (x + 4), fourth (x + 6), and the fifth (x + 8).

They sum to 250. Hence:

[tex]x+(x+2)+(x+4)+(x+6)+(x+8)=250[/tex]

Solve for x. Combine like terms:

[tex]5x+20=250[/tex]

Subtract 20 from both sides:

[tex]5x=230[/tex]

And divide both sides by five. Hence:

[tex]x=46[/tex]

Thus, our sequence is 46, 48, 50, 52, and 54.

Hence, our fourth number is 52.

1.055.
Determine whether the statement is true or false. If the statement is false, give a reason.
{5, 6, 7} = {5, 5, 6, 7, 7}

Answers

Given:

The statement is:

{5, 6, 7} = {5, 5, 6, 7, 7}

To find:

Whether the given statement is true or false.

Solution:

Two sets are equal if they have exactly the same elements.

The given set {5, 6, 7} has three elements and the set {5, 5, 6, 7, 7} has five elements but we known that all the elements of a set are distinct. It means, it has no repeated element.

Set {5, 5, 6, 7, 7} has three distinct elements 5, 6, 7. So,

{5, 5, 6, 7, 7} = {5, 6, 7}

Therefore, the given statement is true.

I need help with this problem.

Answers

Answer:

-4

Step-by-step explanation:

2t=-1-7

t=-8/2

t=-4

i am not sure also

Last year Nancy weighted 37 5/8 pounds. This year she weighed 42.7 pounds. How much did she gain?

Answers

Answer:

Nancy gained 5.075 pounds.

Step-by-step explanation:

5/8=0.625

37.625

42.7-37.625=5.075

Nancy gained 5 more pounds

ora started watching a movie at 2:45 p.m. She watched the movie for hours before stopping the movie for hours to eat dinner. After dinner, Nora finished watching the remaining hours of the movie. At what time did the movie end?

Answers

Answer: Movies Average around 1 hour to 2 hours long. 1:30 to 2:30 so id say somewhere around 4-5 pm. Which leaves time for dinner after

Step-by-step explanation:

A football is punted so that its path is described by the function h(t) = -4.9(t - 3.5)2 + 15 where h(t) is the height of the football, in meters at time t, in seconds.

What time in seconds does it take for the football to reach its maximum height? Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

You already have this set up to answer your question. This quadratic is in work form, aka vertex form, where the vertex is (3.5, 15). The first coordinate of the vertex is the time it takes to reach its max height, which is the second coordinate of the vertex. So it takes 3.5 seconds to reach a max height of 15 meters.

Which system of equations below has no solution

Answers

Answer:

Step-by-step explanation:

y= 4x + 5

y = 4x - 5

4x + 5 = 4x - 5

0 ≠ -10

no solution

There is a high-speed rail track between London and Manchester.
The length of this track is 210 miles.
A train departs London at 11:20 and arrives in Manchester at 13:28
The train company claims
the average speed of this train is 104 miles per hour.
Is the average speed of this train 104 miles per hour?
(4)
Use the box below to show clearly how you get your answer.

Answers

Answer:

Step-by-step explanation:

this is the famous dirt formula,  :P  I made it up   :D

D=rt    ( notice it looks like   Dirt  , kinda,  but it also means it dirt simple )

D= distance

r = rate  ( think speed or how fast)

t = time  ( in what ever units of time you want to use, seconds, minutes, hours )

13:28 - 11:20 = 128 minutes ( b/c the question is asking in MPH convert to hours)   2.4666667 hours

210 miles =  r * 2.46666667

210 / 2.46666667 = r   ( in MPH) ( does anyone else find it odd that they are saying miles in London instead of kilometers? :/ )

85.135 MPH = rate

so no, not even close to 104 MPH  :/  

Answer:

Average speed is 98 mph

Step-by-step explanation:

[tex]\frac{distance (miles)}{time (hours)}[/tex] = speed [tex]\frac{mile}{hours}[/tex]  (miles per hour is a ratio)

The time is 2 hours and 8 minutes.

[tex]\frac{8}{60}[/tex] = .13333 ( 8 minutes / 60 minutes in a hour)

So time is 2.133333 hours .

Divide the distance 210 by the time 2.13333 and get the speed.

Its 98.437..

Round to 98 miles per hour.

Imagine that you need to compute e^0.4 but you have no calculator or other aid to enable you to compute it exactly, only paper and pencil. You decide to use a third-degree Taylor polynomial expanded around x =0. Use the fact that e^0.4 < e < 3 and the Error Bound for Taylor Polynomials to find an upper bound for the error in your approximation.

|error| <= _________

Answers

Answer:

0.0032

Step-by-step explanation:

We need to compute [tex]e^{0.4}[/tex] by the help of third-degree Taylor polynomial that is expanded around at x = 0.

Given :

[tex]e^{0.4}[/tex] < e < 3

Therefore, the Taylor's Error Bound formula is given by :

[tex]$|\text{Error}| \leq \frac{M}{(N+1)!} |x-a|^{N+1}$[/tex]   , where [tex]$M=|F^{N+1}(x)|$[/tex]

         [tex]$\leq \frac{3}{(3+1)!} |-0.4|^4$[/tex]

         [tex]$\leq \frac{3}{24} \times (0.4)^4$[/tex]

         [tex]$\leq 0.0032$[/tex]

Therefore, |Error| ≤ 0.0032

Plz do this, I’m so exhausted. Thxx

Answers

Answer:

12) B --> x < 8/3

13) B --> x ≤ 1/6

Step-by-step explanation:

12) Solving inequalities is just like solving normal equations where you and add, subtract, multiply and divide sides by the same value. Keep in mind dividing or multiplying by a negative flips the sign:

x - 10 < 6 - 5x

Add 5x to both sides to combine the x terms:

x - 10 < 6 - 5x

+5x          +5x

6x - 10 < 6

Add 10 to both sides to isolate the x term:

6x - 10 < 6

+10       +10

6x < 16

Now, divide by 6 on both sides:

x < 8/3, this is B

13) Simplify 2 - 4:

2-3(2x + 1) ≤ 6x(-2)

Distribute:

2 - 6x - 3 ≤ -12x

Add 12x to both sides and combine like terms:

6x - 1 ≤ 0

Add 1 to both sides:

6x ≤ 1

Divide by 6:

x ≤ 1/6, this is B

12. B


X- 10 < 6-5x


So I brought over the five x to be on the side where the x is and then I placed the others on the other side so…


5x + x < 6 + 10

6x < 16

Then I divided both sides by 6

help me please i am struggle with this

Answers

The Answer is H I solved it out

5.
Tax: The property taxes on a house were
$1050. What was the tax rate if the house was
valued at $70,000?

Answers

Answer:

1.5%

Step-by-step explanation:

house value x property tax rate = property taxes

70,000 x property tax rate = 1050

property tax rate = 1050/70000

property tax rate = .015 0r 1.5%

There are 92 students enrolled in an French course and 248 students enrolled in a Spanish course. Construct a ratio comparing students enrolled in a French course to students enrolled in a Spanish course. Write your answer as a decimal, rounded to the thousandths place.

Answers

Answer:

0.371

Step-by-step explanation:

The ratio comparing students enrolled in a French course to students enrolled in a Spanish course rounded to the thousandths place is 0.371.

What is the ratio?

A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.

Now it is given that,

Students enrolled in a French course = 92

Students enrolled in a Spanish course = 248

So, Ratio comparing students enrolled in a French course to students enrolled in a Spanish = Students enrolled in a French course / Students enrolled in a Spanish course

Ratio comparing students enrolled in a French course to students enrolled in a Spanish = 92/248

Ratio comparing students enrolled in a French course to students enrolled in a Spanish = 0.370967

To rounded to the thousandths place, the digit at the thousandth place is 0 and right to it is 9 which is greater than 5 so round up the place value at thousandths place.

Ratio comparing students enrolled in a French course to students enrolled in a Spanish = 0.371

Thus, the ratio comparing students enrolled in a French course to students enrolled in a Spanish course rounded to the thousandths place is 0.371.

To learn more about ratio:

https://brainly.com/question/1504221

#SPJ2

appoint a planning committee with five different members. There are 14 qualified​ candidates, and officers can also serve on the committee. What is the probability of randomly selecting the committee members and getting the five youngest of the qualified​ candidates?

Answers

Answer:

[tex]Pr = \frac{1}{2002}[/tex]

Step-by-step explanation:

See comment for complete question;

Given

[tex]n = 14[/tex]

[tex]r = 5[/tex] -- committee members

[tex]k = 4[/tex] ---- officers (i.e. president, CEO, COO and CFO)

Required

Probability of selecting 5 youngest qualified members

First, we calculate the number of ways the committee can be appointed;

Any 5 members can be part of the committee; This means that we won't consider the order.

So, the number of ways is:

[tex]^{14}C_5[/tex]

This gives:

[tex]^{14}C_5 = \frac{14!}{9!5!}[/tex]

So, we have:

[tex]^{14}C_5 = \frac{14*13*12*11*10*9!}{9!*5*4*3*2*1}[/tex]

[tex]^{14}C_5 = \frac{14*13*12*11*10}{5*4*3*2*1}[/tex]

[tex]^{14}C_5 = \frac{240240}{120}[/tex]

[tex]^{14}C_5 = 2002[/tex]

There can only be a set of 5 young people. So, the probability is:

[tex]Pr = \frac{1}{2002}[/tex]



20. In the image, ABC has measure 58°. What is the measure of ABD?
A. 116°
OB. 29°
O C. 58
OD. There is not enough information to determine LABD.

Answers

Answer:

Option B, 29°

Step-by-step explanation:

The diagram is a angle bisecting diagram which divides the 58° angle into two 29° angles.

Answered by GAUTHMATH

It’s 29 I took the test


Rajah 1 menunjukkan lukisan pelan berskala bagi sebuah rumah
lantainya berbentuk dua segi empat sama.
Skala yang digunakan adalah 1:200. Jika
kos memasang jubin jalah Rm 30 per m3
berapakah jumlah kos memasang jubin bagi
rumah tersebut?

Answers

Answer:

RM 1200 kalau ada gambar cuba insert

Tom swims a 1/2 kilometers every 1/4 hour. How far will he swim in one hour.​

Answers

Answer:

2 kilometers

Step-by-step explanation:

every 1 kilometer is a 1/2 hour. double that and you get 2

The sales department has determined that the average purchase value for their catalog business is normally distributed with a mean of $41.34 and a standard deviation of $13.54. What is the purchase value at the 30th percentile

Answers

Answer:

The purchase value at the 30th percentile=34.24

Step-by-step explanation:

We are given that

Mean,[tex]\mu=41.34[/tex]

Standard deviation,[tex]\sigma=13.54[/tex]

We have to find the purchase value at the 30th percentile.

[tex]xth percentile =\mu+Z\times \sigma[/tex]

Where Z is the critical value of x% confidence interval

x=30

Critical value of Z at 30% confidence interval=-0.5244

Using the formula

30th percentile=[tex]41.34+(-0.5244)(13.54)[/tex]

30th percentile=[tex]41.34-7.100376[/tex]

30th percentile[tex]\approx 34.24[/tex]

Hence,  the purchase value at the 30th percentile=34.24

find the slope of the line passing through the points (6,-7) and (3,-3) .​

Answers

Answer:

y2-y1 / x2-x1

-4/3

Step-by-step explanation:

Answer:

-4/3

Step-by-step explanation:

When given two points, the slope is found by

m = (y2-y1)/(x2-x1)

   = (-3- -7)/(3 -6)

    = (-3+7)/(3-6)

    = 4/-3

   = -4/3

whats the x and y value? I thought it would be choice d but I'm not sure
please help asap . my question is timed​

Answers

Answer:

cos(60°) = [tex]\frac{adjacent}{hypotenuse}=\frac{y}{10\sqrt{3} }[/tex]

[tex]cos(60)=\frac{y}{10\sqrt{3} } \\y=cos(60) * 10\sqrt{3} \\y=\frac{1}{2} * 10\sqrt{3}\\y=\frac{10\sqrt{3}}{2} =5\frac{\sqrt{3} }{2} =8.66[/tex]

sin(60°) = [tex]\frac{opposite}{hypotenuse} =\frac{x}{10\sqrt{3} }[/tex]

[tex]sin(60)=\frac{x}{10\sqrt{3} } \\x=sin(60)*10\sqrt{3} \\x=\frac{\sqrt{3} }{2} *10\sqrt{3} \\x=\frac{10(\sqrt{3} ) (\sqrt{3} )}{2} \\x=\frac{10*3}{2} =\frac{30}{2} =15[/tex]

Bateman Corporation sold an office building that it used in its business for $800,800. Bateman bought the building 10 years ago for $599,600 and has claimed $201,200 of depreciation expense. What is the amount and character of Bateman's gain or loss?

Answers

Answer:

$402.700 capital gain

Step-by-step explanation:

Identify the sampling method that was used. Cattle tag numbers at a livestock auction are selected using a random number generator. The cattle are then tested for mad cow disease.
a. Stratified
b. Systematic
c. Random
d. Cluster

Answers

Answer:

c. Random

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Systematic sampling.

2. Convenience sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Random sampling.

Random sampling can be defined as a type of sampling in which the researcher select a sample of the population in order to determine an outcome.

Thus, the type of sampling used is random sampling.

Find domain of (x^2+3)+[tex]\sqrt{x} 3x-1[/tex]

Answers

Answer:

= x^2 + 3 + √3x^2 - 1

Step-by-step explanation:

Remove parentheses: (a) = a

= x^2 + 3 + √x . 3x - 1

x . 3x = 3x^2

= x^2 + 3 + √3x^2 - 1

Which of the following choices is the average speed of a tourist who traveled for 1 hour on a plane at 400 mph and 4 hours by car at 60 mph?

(average= total miles/total hours)

Answers

Answer:

128 mph

Step-by-step explanation:

1 hour = 400

4 hours = 240

240+400= 640

4+1 = 5

640/5=128

If y- 1 equals 10 then y

Answers

Answer:

11

Step-by-step explanation:

y-1=10

Any figure that crosses equal sign, the operational sign changes.

y=10+1

y= 11

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