Suppose a company has fixed costs of $40,800 and variable cost per unit of 1/3 x + 222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1946 − 2/3 x dollars per unit.

Answers

Answer 1

The break-even points at which the sum of the fixed and variable costs (40,800 + (1/3)·x + 222) is equivalent to the revenue (1946·x - (2/3)·x²) are; x = 21, 2897

What is a break-even point?

The break-even point in cost accounting is the point where the total cost of production is equivalent to the total revenue from the sale of the products.

The fixed cost of the company = $40,800

The variable cost = (1/3)·x + 222 Dollars

x = The total number of units sold

The selling price of the product = 1946 - (2/3)·x Dollars

A possible question, obtained from a similar question is the value of the number of units sold at break even point

The break even point where the cost and revenue are equivalent, can be found as follows;

Revenue = Selling price × Number of units sold, therefore;

Revenue = (1946 - (2/3)·x) × x = 1946·x - (2/3)·x²

At the break even point, we get;

Sum total of the cost = Revenue

Therefore;

Fixed cost + Variable cost = Revenue

40,800 + (1/3)·x + 222 = 1946·x - (2/3)·x²

1946·x - (2/3)·x² - (40,800 + (1/3)·x + 222) = 0

(-2·x² + 5837·x - 123066)/3 = 0

x = (-5837 ± √(5837² - 4×(-2)×(-123066)))/(2×(-2))

x = (-5837 ± √(33086041))/(-4)

x ≈ 21 or x ≈ 2897

The number of units produced at the break even point are; x = 21 units and 2897 units

Learn more about cost analysis here: https://brainly.com/question/17236115

#SPJ1


Related Questions


The graph below is an example of which type of function?
O quadratic
O linear
O cubic

Answers

The graph below is an example of graph function is cubic.

What is  graph function?

We must identify the kind of the graph after receiving it.

A parabola represents the graph of a quadratic function. As a result, the presented graph is not a quadratic function graph.

A straight line is represented by a linear function. The presented graph is not a graph of a linear function as a result.

A square root function's graph resembles a half parabola. Therefore, it can't be the square root function graph.

A cubic function's final behaviour is "opposite at both ends." We can see that the provided graph satisfies this requirement.

As a result, the shown graph illustrates a cubic function.

The right graph is C.

To learn more about  graph refer to:

https://brainly.com/question/10076250

#SPJ1

In which of the following expressions does the number 4 fill in the blank so that the equation is true? Select all that apply. A) ___(6 + 8) = 24 + 32 B) 9(3 + ___) = 27 + 36 C) ___(7 + 6) = 35 + 30 D) 2(2 + 9) = ___ + 18

Answers

: Pretty Sure u need the question to number 4-

Step-by-step explanation:

Solve the equation for all real values of x.
3 tan²x =√3 tanx

Answers

The solution of the equation for all real values of x is πk, π/6.

How to solve the equation for all real values of x?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, specifically right triangles.

3 tan²x = √3 tan x

Divide both sides by 3tan x:

tan x = (√3)/3

x = tan⁻¹((√3)/3)

x = 30°

x = π/6 radian

Note: multiply 30° by π/180 to convert to radian. 180° = π radian

Since π/6 (i.e. 30°) falls between 0 and 180°.

Thus, the solution of the equation for all real values of x is πk, π/6. We can choose πk, π/6.

You can learn more about trigonometry on:

brainly.com/question/24438369

#SPJ1

Which represents the reflection of f(x) = StartRoot x EndRoot over the y-axis?

Answers

Answer:

I tink D?

Step-by-step explanation:

The function after the reflection over y-axis is f' ( x ) = √( -x )

What is Reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = √x

Now , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y)

So , the reflected function is f' ( x ) = √( -x ) and the graph is plotted

Hence , the reflected function is f' ( x ) = √( -x )

To learn more about reflection click :

https://brainly.com/question/4681298

#SPJ2

3x+12y=-8 show ur work

Answers

Here is the attached image for the answer. If you write it in in slope-intercept form, y=mx+b. You will get the answer below in the attached image.

The Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min.

Sine function model: h=-82.5 cos 3pi(t)+97.5 where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes

Answers

If the Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair and the ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The period of the sine function model is: 2/3 minutes.

How to find the period of the sine function model?

Given equation:

h=-82.5 cos 3pi(t)+97.5

Where:

h= height of the passenger above the ground measured in feet

t = time of operation of the ride in minutes

So,

h=-82.5× cos  [2 × π ×t /T) +97.5

2 ×π / T = 3 × π

T = 2/3 minutes

Therefore the period of the sine function model is: 2/3 minutes.

Learn more about period of the sine function model here:https://brainly.com/question/23713359

#SPJ1

Derek tried to solve an equation step by step. 8d=72 8d/8 = 72/8 d=8 Find Derek's mistake

Answers

The mistake of Derek is that 72 divided by 8 is 9, not 8.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side

Given is an equation that Derek is trying to solve.

The equation is 8d = 72.

8d = 72

In the first step, Derek divided both sides of the equation by 8, which is a correct way to solve the problem.

We have to divide both sides of the equation by 8.

8d / 8 = 72 / 8

This step is correct.

After dividing, in the left hand side, there will be only 'd' remaining and in the right hand side, 27/8 = 9.

d = 9

But Derek got 8 instead of 9 in the right hand side.

Hence the value of d is 9 and not 8, which is the mistake of Derek.

To learn more about Equations, click on the link :

https://brainly.com/question/29657988

#SPJ1

Consider the expression given below. Simplify this expression into the form A/B and place the appropriate expressions into the boxes shown below: V4219 Answer: 4x19 = AB, where A= 2x9 âand B = 4.19 Ð¥

Answers

the simplified expression is 2x9/4.19, which can be written as A/B, where A = 2x9 and B = 4.19. Therefore, the value of A is 18 and the value of B is 4.

To simplify the expression V4219, first divide it into two separate terms by breaking the number 4219 into 4 and 2119.

Now, we need to simplify the terms 4 and 2119 separately.

To simplify the term 4, we need to divide it by 4, which gives us 1.

To simplify the term 2119, we need to divide it by 19, which gives us 2x9.

Hence, the simplified expression is 2x9/4.19, which can be written as A/B, where A = 2x9 and B = 4.19. Therefore, the value of A is 18 and the value of B is 4.

Learn more about expression here

https://brainly.com/question/14083225

#SPJ4

The table represents the number of pairs of shoes bought when customers bought a dress from Famous Formalwear,

Which value represents the correlation coefficient of this data set?
O 0.18
O 0.32
O 0.43
O 0.99
Number of dresses purchased
1
4
3
1
4
6
2
6
2
Number of Pairs of Shoes Purchased
2
3
3
1
2
2
1
2
1

Answers

The correlation coefficient for this data-set is given as follows:

r = 0.43.

How to obtain the correlation coefficient for the data-set?

The coefficient is obtained inserting the points in a data-set in a correlation coefficient calculator.

The points for the data-set in this problem are given as follows:

(1,2), (4,3), (3,4), (1,1), (4,2), (6,2), (2,1), (6,2), (2,1).

Inserting these points into a correlation coefficient calculator, the correlation coefficient for this data-set is given as follows:

r = 0.43.

Meaning that the correct option is given by the third option.

More can be learned about correlation coefficients at brainly.com/question/16355498

#SPJ1

TRUE OR FALSE a survey of high school students was conducted to see if students who take advanced classes are offered more scholarship money than students who do not take advanced classes.

Answers

True, a survey of high school students was conducted to see if students who take advanced classes are offered more scholarship money than students who do not take advanced classes.

Science is used in statistics to gather and arrange data into patterns or trends. A statistical research collects data about a population or group of people and attempts to generalize the findings for use by different people.

The observational study is one type of statistical study. These studies frequently occur early in a given area of health study since they may swiftly and affordably gather a lot of general information about a community.

To learn more about survey here:

https://brainly.com/question/29158679

#SPJ4

William and his children went into a restaurant that sells hamburgers for $8 each and drinks for $2.50 each. William has $95 to spend and must buy no less than 18 hamburgers and drinks altogether. If xx represents the number of hamburgers purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer: We can set up the following system of inequalities to represent the situation:

8x + 2.5y <= 95 (the total cost of the hamburgers and drinks must be less than or equal to $95)

x >= 18-y (William must buy no less than 18 hamburgers and drinks altogether)

x >= 0, y >= 0 (non-negative values for the number of hamburgers and drinks purchased)

To graph the system of inequalities, we can start by graphing the inequality 8x + 2.5y <= 95, which represents a boundary line in the xy-plane. Since it's a less or equal sign, we will shade the area that is below the line.

The second inequality represents a boundary line which is the line x = 18-y. Since x must be greater than or equal to 18-y, we will shade the area that is on or above the line.

The third inequality is a non-negative constraint for both x and y, so we will graph the x and y axis and shade the area that is above them.

After combining all the shaded areas, we'll get a feasible solution region that represents possible values of x and y that satisfies the system of inequalities.

One possible solution to the system of inequalities is x=24 and y=6, which is a point in the feasible region that satisfies all the inequalities.

It's worth noting that there could be other solutions as well, depending on the number of hamburgers and drinks William wants to buy.

Step-by-step explanation:

The sum of two numbers is twenty-five. Using x to represent the smaller of the two numbers, translate "the difference between four more than the larger number and twice the smaller number" into a variable expression. Then simplify.

Answers

Answer:

If the sum of the two numbers is 25, we can represent the larger number as x + (smaller number)

The difference between four more than the larger number and twice the smaller number is:

(x + 4) - 2(x) = x + 4 - 2x = -x + 4

Now we can simplify the expression:

-x + 4

That is the variable expression for the difference between four more than the larger number and twice the smaller number.

Step-by-step explanation:

In the command window in MATLAB generate a random 6 x 6 matrix with integer entries using the command G = round(10* rand(6)) For each of the following questions below, execute the given commands and match the result with the best explanation of how MATLAB got the answer (some explanations will not match). G(:,:) G(:) G(7,6) ✓ [Choose ] maximum entry in each column of G reshapes all elements of G into a single column vector assigns the value 4 to all entries of G that are greater than 4 reshapes the matrix G into a single row vector returns the matrix G in its original form maximum entry in each row of G returns an indexing error entries of G that are greater than 4 sum of the entries in each column of G sum of the entries in each row max(G) sum(G) [ Choose ] G(G>4) [Choose ] G(G>4)=4 [Choose]

Answers

G(:,:) returns the matrix G in its original form. This command takes all elements of G and reshapes them into a single row vector. This means that all elements of G are included in the output, and the output is in the same shape as the original matrix.

G(:) reshapes all elements of G into a single column vector. This command takes all elements of G and places them into a single column. This means that all elements of G are included in the output, and the output is in a column vector.

G(7,6) returns an indexing error. This command attempts to access an element outside of the range of the matrix G. Since G is a 6 x 6 matrix, there is no element at the index (7,6).

max(G) returns the maximum entry in each column of G. This command takes the maximum value from each column and returns them as a single row vector. This means that the output contains the maximum value from each column and the output is in a single row vector.

sum(G) returns the sum of the entries in each column of G. This command takes the sum of all entries in each column and returns them as a single row.

Learn more about MATLAB:

https://brainly.com/question/27854252

#SPJ4

Two angles are supplementary. If the mZA is five times the sum of the mZB plus 7.2°, what is mZB?
Due 01.

Answers

The value of angle mZB is 28. 8 degrees

How to determine the angles

It is important to note that supplementary angles are described as pair of angles that sum up to angles on a straight line.

Also, angles on a straight is equal or equivalent to 180 degrees.

From the information given, we have that;

mZB+ mZA = 180mZA = 5mZB + 7. 2 degrees

Now, susbtitute the values, we get;

mZB + mZA = 180

5mZB + 7. 2 + mZB = 180

collect like terms, we get;

5mZB + mZB = 180 - 7.2

Add or subtract the like terms

6mZB = 172.8

Now, divide both sides by the coefficient of mZB, we get;

mZB = 172.8/6

Divide the values

mZB = 28. 8 degrees

Hence, the value is 28. 8 degrees

Learn about supplementary angles on:

https://brainly.com/question/2046046

#SPJ1

Mr. Casey needs to drive 278 miles in 7 hours. He estimates that he should drive at a speed of 50 miles per hour. Is his estimate greater than or less than the actual speed at which he should travel? Explain.

Answers

The actual speed of Mr Casey is 39.71 miles per hour and his estimation is greater than the actual speed at which he should travel.

What is estimation?

Estimation is a roughly calculated answer of something for which we get an approximate result of it.

Given that, Mr. Casey needs to drive 278 miles in 7 hours. He estimates that he should drive at a speed of 50 miles per hour. We need to find whether his estimation correct or not,

We know that,

Speed = distance / time

Therefore, Mr. Casey's actual speed =

Speed = 278 / 7

= 39.71 miles per hour

As, he estimated his speed being 5o miles per hour, and actual speed is 39.71 miles per hour, therefore, his estimation is greater than the actual speed at which he should travel.

Hence, the actual speed of Mr Casey is 39.71 miles per hour and his estimation is greater than the actual speed at which he should travel.

Learn more about estimation, click;

https://brainly.com/question/17961193

#SPJ1

determine whether the quantitative variable is discrete or continuous amount of water in a dogs bowl

Answers

The quantitative variable is continuous for any given value of the amount of water in a dog's bowl.

In order to give an answer to this question, we need to recall the definition of continuous and discrete variables. Then according to the definition, we get the answer if the quantitative variable is discrete or continuous for the given amount of water in a dog's bowl.

As we understand that a discrete variable is a variable whose value is fetched by counting. A discrete random variable holds countable possible values. A random variable is one whose value is numerical. On the other hand, a continuous variable is a variable whose value is fetched by measuring.

The amount of water in a dog's bowl has any value. So the amount of water in a dog's bowl is a continuous variable.

Hence, the quantitative variable is continuous for any given amount of water in a dog's bowl.

To know more about quantitative variable, here

https://brainly.com/question/14583272

#SPJ4

Qasim is deciding between two truck rental companies. Company A charges an initial fee of $15 for the rental plus $1 per mile driven. Company B charges an initial fee of $45 for the rental plus $0.50 per mile driven. Graph each function and determine which company would be cheaper if Qasim needs to drive 80 miles with the rented truck.

Answers

Equation for the cost of company A: f(x) = 15 + x

Equation for the cost of company B: g(x) = 45 + x/2

For 80 miles, company B is cheaper than company A.

What is linear equation?

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.

Given,

Company A charges an initial fee of $15 for the rental plus $1 per mile driven

f(x) = 15 + x

Company B charges an initial fee of $45 for the rental plus $0.50 per mile driven

g(x) = 45 + 0.5x

g(x) = 45 + x/2

x is number of miles

For 80 miles company A charges

f(80) = 15 + 80

        = 95

For 80 miles company B charges

g(80) = 45 + 80/2

         = 85

By the above calculation, Company B is cheaper than Company A for 80 miles drive.

Hence,

f(x) = 15 + x is Equation for the cost of company A

g(x) = 45 + x/2 is Equation for the cost of company B

Company B is cheaper than company A for drive of 80 miles.

Learn more about linear equation here:

https://brainly.com/question/29739212

#SPJ1

When rounded to the thousands place, which of the numbers below round to 812,000? Select all that apply... A) 811,895 B) 812,345 C) 811,398 D) 811,501 E) 812,499​

Answers

The correct option D) 811,501, is the calculated number the numbers below, if rounded to the thousandths place, equal 812,000.

Define the term rounding off the number?

Rounding Decimal Numbers:

Choose the final digit you want to keep.

If the following digit is less than 5, leave it alone (this is known as  rounding down).But if the following digit is 5 or higher, increase it by 1. (this is known as rounding up).

Decimal rounding:

Determine the number that will remain after we are done.

When rounding to tenths, one number is left just after decimal point.When rounding to hundredths, two integers are left after the decimal point, etc.

For the stated question:

To get the number 812,000 when rounded to the thousands place,

number used is 811,501, as all other number are either larger than or smaller than 812,000.

Thus, option D) 811,501, is the calculated number the numbers below, if rounded to the thousandths place, equal 812,000.

To know more about the rounding off, here

https://brainly.com/question/28128444

#SPJ1

Please answer this question quickly for me

Answers

The reversal of the statement would give the converse statement and this is done in option A.

What is a converse statement?

We know that in logic a statement would need to have a premise and a conclusion. The premise is what would naturally lead to the conclusion. The statement is true when the premise does lead to the conclusion.

We know that the converse of a statement can be said to be obtained when we switch the positions of the premise and the conclusion in the statement. The conclusion becomes  the premise and the premise becomes the conclusion.

Learn more about logical statement:https://brainly.com/question/1807373

#SPJ1

A fashion store is planning its end–of–season sale. It sells 40 of its signature jeans every week at $175 per pair. Last year, the store's sales increased to 60 pairs per week when the price was dropped by $25. By what amount should the store discount the price this year to maximize its revenue?
A. $112.50
B. $103.50
C. $62.50
D. $71.50

Answers

Answer:

A

Step-by-step Explanation:

Every $1 decrease in price corresponds to a 0.8 increase in the number of pairs of jeans sold.

So, if [tex]x[/tex] pairs of jeans are sold, the revenue in dollars is [tex](175-x)(40+0.8x)[/tex].

The roots of this function are [tex]x=175[/tex] and [tex]x=-50[/tex]. The maximum is achieved halfway between these roots at [tex]x=62.5[/tex].

When 62.5 pairs of jeans are sold, the price is $112.50.

The store should discount the price to $112.50 to maximize its revenue

What is Discount?

Discount is a deduction from the usual cost of something, typically given for prompt or advance payment or to a special category of buyers.

From the above question, every $1 decrease in price corresponds to a 0.8 increase in the number of pairs of jeans sold.

So, if  pairs of jeans are sold, the revenue in dollars is (175 - x)(40 + 0.8x)

The roots of this function are x = 175 and x = -50. The maximum is achieved halfway between these roots at x = 62.50.

Therefore, When 62.5 pairs of jeans are sold, the price is $112.50.

More can be learnt about discounts at

brainly.com/question/7459025

#SPJ1

Joe's Coffee Shop makes a blend that is a mixture of two types of coffee type a coffee cost Joe $4.65 per pound and type B coffee cost $5.95 per pound this month Joe made $150 of the blend for a total cost of $89.30 how many pounds of type B coffee did he use

Answers

Using simultaneous equations, the number of pounds of Type B coffee that Joe used for the blend was 94 pounds.

What are simultaneous equations?

Simultaneous equations are two or more equations solved concurrently or simultaneously.

Simultaneous equations are also known as a system of equations.

Cost per pound of Type A coffee blend = $4.65

Cost per pound of Type B coffee blend = $5.95

The total pounds of the blend made for the month = 150 pounds

The total cost of 150 pounds = $819.70

Let the number of Type A coffee pounds = a and Type B coffee pounds = b.

Equations:

4.65a + 5.95b = 819.7 ... Equation 1

a + b = 150  ... Equation 2

Multiply Equation 2 by 5.95:

5.95a + 5.95b = 892.5  ... Equation 3

Subtract Equation 1 from Equation 3:

5.95a + 5.95b = 892.5

-

4.65a + 5.95b = 819.7

1.3a = 72.8

a = 56 pounds

b = 150 - a

= 150 - 56

= 94 pounds

Thus, we can conclude that Joe's Coffee Shop used 94 pounds of Type B coffee this month.

Learn more about simultaneous equations at https://brainly.com/question/16763389

#SPJ1

Question Completion:

This month Joe made 150 pounds of the blend for a total cost of $819.70 how many pounds of type B coffee did he use?

When adding two vectors, I should do the following: O Pick an angle and just go with it. O Write each vector in component form and add the components separately. O Combine all the vector components into one number and add them. O Calculate the magnitude of each vector and add them.

Answers

Write each vector in component form and add the components separately. This new vector will represent the sum of the two original vectors. This is the most straightforward way to add two vectors.

1. Write each vector in component form. This means breaking down each vector into its x- and y-components.

2. Add the x-components of each vector together and the y-components of each vector together.

3. The result will be a single vector with both x- and y-components.

To add two vectors, I should write each vector in component form, breaking them down into their x and y components. Then, I should add the components together, resulting in a new vector with components that are the sum of the two original vectors' components. This new vector will represent the sum of the two original vectors. This is the most way to add two vectors.

Learn more about vector here

https://brainly.com/question/15709504

#SPJ4

Bicycle Speed
A bicycle is traveling at 19 miles per hour.
How many feet will it cover in 15 seconds?
Round your answer to the nearest tenth of a foot.

Answers

The distance covered by the bicycle at a speed of 19 miles per hour is 418 feet

What is speed?

The rate of change in an object's position with regard to a scalar quantity of reference and time is what is meant by speed, according to its definition. Although it may appear difficult, speed is essentially speeding in a particular direction. Due to the fact that it is a scalar quantity, speed must be defined in terms of both magnitude (speed) and direction. It has a meter per second SI unit (ms-1). A body is considered to be accelerating if there is a change in the magnitude or the direction of its speed.

we know that 1 mile is 5280 feets

so, the speed of 19 miles per hour will be 100320 feet in 3600 seconds

we know

distance = speed × time

distance = 100320/ 3600 ×15

distance = 418 feet

hence the distance covered is 418 feet.

To learn more about speed from the given link

https://brainly.com/question/13074982

#SPJ1

the manager of a large company that sells pet supplies online wants to increase sales by encouraging repeat purchases. the manager believes that if past customers are offered $10 off their next purchase, more than 40 percent of them will place an order. to investigate the belief, 90 customers who placed an order in the past year are selected at random. each of the selected customers is sent an e-mail with a coupon for $10 off the next purchase if the order is placed within 30 days. of those who receive the coupon, 38 place an order.

Answers

At the significance level of a = 0.05, there is no strong statistical support for the manager's assertion.

Accepting it would be a type II error because the null hypothesis might not be true.

The 'null' and 'alternative' hypotheses should be

p 0.4 for H0 and p > 0.4 for Ha

q= 1-p= 1-0.4= 0.6

The alpha level for significance is 0.05.

For one-tailed tests, the crucial area is Z> ± 1.645

The sample proportion is p^= x/n= 38/90=0.42222

Using the z statistic

z= p^- p/ √pq

z= 0.422-0.4/ √0.4*0.6

z= 0.04536

We are unable to reject the null hypothesis since the calculated value of z=0.04536 does not fall within the crucial zone Z> 1.645.

The manager's assertion is not sufficiently supported by the available data.

When we reject the actual null hypothesis, we commit a type I mistake.

When we accept the incorrect null hypothesis, we make type II errors.

Accepting it would be a type II error because the null hypothesis might not be true.

Know more about statistic

https://brainly.com/question/15525560

#SPJ4

let a and be positive integers satisfying (ab+1)/(a+b) < 3/2. The maximum possible value of (a^3b^3+1)/(a^3+b^3) is p/q. where p and q are relatively prime positive integers. Find p+q.

Answers

p/q = (2x^3+1)/2x^3, which implies that p = 2x^3+1 and q = 2x^3.  p + q = 2x^3+1 + 2x^3 = 3x^3.

Let a and b be positive integers satisfying (ab+1)/(a+b) < 3/2. The maximum possible value of (a^3b^3+1)/(a^3+b^3) is given by the equation p/q, where p and q are relatively prime positive integers. We can expand the numerator and denominator as follows: a^3b^3+1 = a^3b^3 + a^3 + b^3 and a^3+b^3 = a^3 + a^2b + ab^2 + b^3. Therefore, the expression is equal to (a^2b^2+a^2+ab+1)/(a^2b+ab^2+1). Since (ab+1)/(a+b) < 3/2, we have (ab+1)/(a+b) < 5/3 and (a^2b^2+a^2+ab+1)/(a^2b+ab^2+1) < 5/3.To find the sum of p and q, we can use the fact that the maximum value occurs when a and b are equal. Thus, setting a = b = x, we have (x^3x^3+1)/(x^3+x^3) = (x^6+1)/2x^3 = (2x^3+1)/2x^3. Thus, p/q = (2x^3+1)/2x^3, which implies that p = 2x^3+1 and q = 2x^3. Therefore, p + q = 2x^3+1 + 2x^3 = 3x^3.

Learn more about positive integers here:

https://brainly.com/question/13733829

#SPJ4

In a basketball game,Benito score 3 points less than twice the number of points that Carnell scored. Benito scored 13 points how many points did Carnell score

Answers

In a basketball game,Benito score 3 points less than twice the number of points that Carnell scored. Benito scored 13 points therefore the number of  points Carnell scored was 16 points.

To get Carnell points

Benito scored 13 points which means that the number of points Carnell scored was:

8 multiplied by 2 = 16

When we subtract 3 from 16 we get 13 which is Benito score mentioned in the question thereby making it the correct choice.

Read more about Score here https://brainly.com/question/28000192

#SPJ1

Housing prices in a small town are normally distributed with a mean of
$147,000 and a standard deviation of $7,000. Use the empirical rule to
complete the following statement.
Approximately 95% of housing prices are between a low price of
$Ex: and a high price of $

Answers

Approximately 95% of housing prices are between a low price of $133,000 and a high price of $161,000.

What is defined by the Empirical Rule?

These approximate percentages are defined by the Empirical Rule, for a normally distributed variable.

68% of the measures within one standard deviation of the mean.95% of the measures within two standard deviation of the mean.99.7% of the measures within three standard deviation of the mean.

Hence the prices within two standard deviations of the mean are given as follows:

147,000 - 2 x 7,000 = 133,000.147,000 + 2 x 7,000 = 161,000.

More can be learned about the Empirical Rule at brainly.com/question/10093236

#SPJ1

how might the additional integration techniques learned in chapter 6 sections 6.1-6.2 be useful to you in the real world? briefly state.

Answers

Integration techniques from chapter 6, such as the power rule, substitution rule, and integration by parts, can be used to solve real-world problems involving calculus.

For example, the power rule can be used to calculate the area of an object by integrating its equation. The substitution rule can be used to calculate the volume of a solid by substituting the equation of its surface. Finally, integration by parts can be used to calculate the arc length of a function given its equation. All these techniques provide a way to calculate the area, volume, and arc length of various objects given their equations, allowing us to apply calculus to real-world situations. Integration techniques from chapter 6, such as the power rule, substitution rule, and integration by parts, can be used to solve real-world problems involving calculus.

Learn more about integration by parts here:

https://brainly.com/question/14402892

#SPJ4

Find the surface area of each pyramid. Round to the nearest tenth if necessary.




triangular pyramid: base side lengths, 6 yd; base height: 5.2 yd; slant height, 11.7 yd


a.
136.5 yd2

b.
90.7 yd2

c.
226.2 yd2

d.
120.9 yd2

Answers

The total surface area of the triangular pyramid will be 106.86 yd².

What is the surface area of triangular pyramid?

The formula to calculate the total surface area of a triangular pyramid is -

T.S.A. = [tex]\frac{1}{2}[/tex](a × b) + [tex]\frac{3}{2}[/tex](b × s).

Given is a triangular pyramid with dimensions -

base side lengths : 6 yd base height : 5.2 ydslant height : 11.7 yd

The total surface area of the triangular prism will be -

T.S.A. = [tex]\frac{1}{2}[/tex](a × b) + [tex]\frac{3}{2}[/tex](b × s).

T.S.A. = 1/2(5.2 x 6) + 3/2(5.2 x 11.7)

T.S.A. = 31.2/2 + 182.52/2

T.S.A. = 15.6 + 91.26

T.S.A. = 106.86 yd²

Therefore, the total surface area of the triangular pyramid will be 106.86 yd².

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

https://brainly.com/question/24046619

#SPJ1

4. Explain how to use division to find an
equivalent fraction for 20/16

Answers

Answer:

5/4

Step-by-step explanation:

divide 20 and 16 by 4

20/4=5

16/4=4

You can use division to find a fraction equivalent to 20/16 by finding gcf (greatest common factor) and dividing two numbers by it. 20 divided by 4 is 5 and 16 divided by 4 is 4. So your answer is 5/4.
Other Questions
the minimal number of cells expected in sequencing to enable statistically relevant numbers for the cells having the lowest occurence in the suspension Function/Primary Focus of Financial Accounting: when you boil a pot of liquid water, the water turns to steam and rises in the air. this is an example of Determine whether each set of side lengths could be the sides of a right triangle. Solve 35 / 2 using an area model. Use long division and the distributive property to record your work religion in the british colonies was generally quite uniform. most people shared similar beliefs. true false If someone tell you really art museum how should I respond? In a process operation, each process has a separate department which will accumulate costs for each of the following:Choose matching definitionO decrease in one asset and an increase in another assetO direct laboroverheaddirect materialsO Blank 1: process or stepO ConceptsObjectivesJournal entry accounts Toward the end of your career, your human capital tends to ___________________, whereas your assets tend to ______________ KGiven the following sets, find the set (A UBUC)'.U= {1, 2, 3, ... ,6}A = {1, 3, 4, 6}B={1, 2, 3)C = {2, 3, 4, 5, 6}Select the correct choice below and, if necessary, fill in the answer box to complete your choice.OA. (AUBUC)' = {}(Use a comma to separate answers as needed. Use ascending order.)B. (A UBUC)' is the empty set. Determine The Relationship Between Peak-To-Peak And Rms Voltage For A Sinusoidal Waveform the ability to do activities for more than a few minutes is Describe the motion of the object in the graph for the entire time. Explain how the motion changes, including direction and whether or not it is speeding up, slowing down or moving at a constant velocity. our band play jazz and hip-hop correct the concord A study in the state of Georgia was conducted to determine the percentage of all community college students who have taken at least one online class. 1500 community college students were contacted and asked if they had taken at least one online class during their time at their community college. These responses were then used to estimate the percentage of all community college students who have taken at least one online class. Identify the population of interest in this study.the response (Yes/No) to the question, "Have you taken at least one online class?"the 1500 community college students contactedthe number of online classes a student has takenall community college students in the state of Georgia each of the financial statements on the left are described on the right. identify the description that goes with each financial statement. instructions How was the combination of the Bombas social mission, its "Bee Better" motto, the direct-to-consumer sales model, its Customer Happiness Team, and its promotional activities contributed to Bombass success? Describe possible future marketing actions Bombas should consider quuizlet in an in vitro polymerization reaction of f-actin from its g-actin subunits, there is a lag phase (rate-limiting stage). what happens during this lag phase? a: f-actin is nucleated b: f-actin reaches a steady state c: f-actin exchanges nucleotides d: f-actin hydrolyzes atp e: f-actin undergoes treadmilling What are the effects of The national government had no power to support the national currency (Money) NEED HELP! This question relates to the time period when Europeans began exploring the Americas (1400s - 1600s)Besides Africans, what other group was forced into labor? Why didn't this continue?