Which three points are collinear?

The minimum possible surface area of the box is \(4(2\times 2500)^{(2/3)} = 316.23 cm^2\) (rounded to two decimal places).

Let the side length of the square base be "s" and the height of the box be "h". Then, the volume of the box can be expressed as:

\(V = s^2 \times h\)

We know that V = 2500 \(cm^3\), so we can solve for "h" in terms of "s":

\(h = V / (s^2)\\h = 2500 / (s^2)\)

To minimize the surface area of the box, we need to minimize the sum of the area of the base and the area of the four sides. The area of the base is s^2, and the area of each of the four sides is s * h. Therefore, the surface area can be expressed as:

\(A = s^2 + 4sh\\A = s^2 + 4s(V / s^2)\\A = s^2 + 4V / s\)

To minimize the surface area, we need to take the derivative of A with respect to s, set it equal to zero, and solve for s:

\(dA/ds = 2s - 4V / s^2 = 0\\2s = 4V / s^2\\s^3 = 2V\\s = (2V)^{(1/3)\)

Substituting this value of s back into the expression for A, we get:

\(A = s^2 + 4V / s\\A = (2V)^{(2/3) }+ 4V / (2V)^{(1/3)}\\A = 4(2V)^{(2/3)\)

for such more question on surface area

https://brainly.com/question/28218279

#SPJ11

Answer:

Step-by-step explanation:

Just apply the formula (x-3, y+3) to the points.

Point S: (1,-2) -----> (-2,1)

Point R: (3,1) ------> (0,4)

Point Q: (5,-3) -----> (2,0)

Point P: (3,-5) ---->(0,-2)

Answer:

P'(0, - 2) , Q'(2, 0) , R'(0, 4) , S'(- 2, 1)

Step-by-step explanation:

(x, y) ------> (x - 3, y + 3)

P (3, - 5) ------> P'(3 - 3, - 5 + 3) = (0, - 2)

Q (5, - 3) ------> Q'(5  - 3, - 3 + 3) = (2, 0)

R (3, 1) ------> R'(3 - 3, 1 + 3) = (0, 4)

S (1, - 2) ------> S'(1 - 3, - 2 + 3) = (- 2, 1)

Where the above conditions are given,  the correct option is: Plan 1 is a better deal for more than 5 cards purchased.

To determine   which pricing plan is a better deal,we need to compare the total cost for a certain number of game cards purchased.

Let's calculate the   total cost for different numbers  of game cards.

For Plan 1  -

- Admission fee  - $5 (fixed)

- Cost per game card  - $1

For Plan 2  -

- Admission fee  - $2.50 (fixed)

- Cost per game card  - $1.50

Now, let's compare the total cost for different numbers of game cards  -

1. If you purchase 1 game card  -

  - Plan 1  - $5 (admission fee) + $1 (cost per game card) = $6

  - Plan 2  - $2.50 (admission fee) + $1.50 (cost per game card) = $4

2. If you purchase 5 game cards  -

  - Plan 1  - $5 (admission fee) + $5 (cost for 5 game cards) = $10

  - Plan 2  - $2.50 (admission fee) + $7.50 (cost for 5 game cards) = $10

3. If you purchase 8 game cards  -

  - Plan 1  - $5 (admission fee) + $8 (cost for 8 game cards) = $13

  - Plan 2  - $2.50 (admission fee) + $12 (cost for 8 game cards) = $14.50

Based on these calculations, we can conclude that  -

- Plan 1 is a better deal for more than 5 cards purchased.

- Plan 2 is a better deal for more than 8 cards purchased.

Therefore, the correct option is  - Plan 1 is a better deal for more than 5 cards purchased.

Learn more about plans:
https://brainly.com/question/30340910
#SPJ1

Answer:

150

Step-by-step explanation:

go submit it

True. Exception reports show a greater level of detail than is included in routine reports.

Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.

This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.

This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.

It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.

For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.

The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.

To learn more about : Exception reports

https://brainly.in/question/50910666

#SPJ8

Answer:

A

Step-by-step explanation:

Answer:

C (third option) The maximum of the graph occurs at the y-intercept.

Step-by-step explanation:

We will use the process of elimination

It’s not option 1 because if you graph it using the graphing calculator you can see that the x intercept is 8,0 not 4,0

It’s not option 2 because you can see the y intercept is at 0,4 which means there is a y intercept

It’s not option 4 because the graph continues down even after the x intercept

Which leaves us with option 3

Hope this helps :)

ANSWER

EXPLANATION

Given;

Recall;

Therefore, the time taken is 3.2hours.

Answer:

\(h>11\)

Step-by-step explanation:

We have the inequality:

\(-2(h-5)<-12\)

Solve. Divide both sides by -2. Since we are dividing by a negative, we must flip the inequality sign. Thus:

\(h-5>6\)

Add 5 to both sides:

\(h>11\)

Therefore, our solution is all numbers greater than 11 .

This means that if we substitute any number greater than 11 into our original inequality, the inequality will be true.

To create a personal commercial.

Step one:  Establish exactly what you are seeking and your targeted audience.

Sep two: Create your introduction, adding your motivations for your career direction.

Step two: Summarize your education, soft skills, hard skills, and experience.

Step four: Write your elevator speech.

Step five: Review and practice your speech.

A personal commercial or an elevator speech is a brief introduction of usually less than 60 seconds to a potential employer, or important professional contact.

It is used to introduce oneself to a potential employer at a job fair, an interview, or when you are asked to talk about yourself professionally.

Learn more about a personal commercial at brainly.com/question/27665216.

#SPJ1

Answer:

x = 60  (Answer C)

Step-by-step explanation:

Ambiguous.  I will assume that you meant:

x+4-7=1  =>  √(x + 4) - 7 = 1

This latter result simplifies to

√(x + 4) = 8

Squaring both sides, we get:  x + 4 = 64, or x = 60  (Answer C)

The value of x is 4.

Option A is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

√(x + 4 - 7) = 1

Square on both sides.

x + 4 - 7 = 1²

x + 4 - 7 = 1

Add 7 on both sides.

x + 4 = 1 + 7

x = 8

Subtract 4 on both sides.

x + 4 - 4 = 8 - 4

x = 4

Thus,

The value of x is 4.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ5

An example of a convergent series (exn) and a divergent series (eyn) such that the product series e(xn * yn) is convergent.

EXPLANATION:

Let's consider the following two series:

1. Convergent series (exn): xn = 1/n^2
2. Divergent series (eyn): yn = n

Now, let's analyze the product series e(xn * yn):

e(xn * yn) = (1/n^2) * n = 1/n

The product series e(xn * yn) is a harmonic series, which is a convergent series.

In this example, the convergent series (exn) is the series of 1/n^2, the divergent series (eyn) is the series of n, and their product series e(xn * yn) is the harmonic series (1/n), which is convergent.

To know more about Convergent and divergent series:

https://brainly.com/question/15415793

#SPJ11

A random variable assigns one and only one numeric value to each experimental outcome.

A random variable used in experimental trials assign numerical values to the members or elements of the trial. This random variable is used to study the outcome of a trial conveniently.

A random variable assigns one and only one numeric value to each experimental outcome. This assigned numeric value may not be exact. In an experimental trial the possible outcomes are denoted by a random variable. So these values are just practically assigned and not theoretically exact.

There are discrete and continuous random variables. They are usually denoted by capital letters such as X, Y,.. etc. These random variables are used to calculate the probability of each outcome in a trial.

Learn more about random variables at https://brainly.com/question/14356285

#SPJ4

Answer:

y=4x - 24

Step-by-step explanation:

yeah-ya..... right?

The value for x is 7π/6 and 11π/6.

sin2xsecx+2cosx=0

(2sinxcosx)(1/cosx)+2cosx=0

sinxcosx/cosx+2cosx=0

So,

2sinx+2cosx=0

2(sinx+cosx)=0

(2(sinx+cosx))²=0

4(sin²x+cos²x+2sinxcosx)=0

hence,

(sin²x+cos²x+2sinxcosx)/4=0/4

sin2x+cos2x+2sinxcosx=0

1+sin2x=0

sinx=−1/2

=7π/6 and 11π/6

Know more about trigonometry at:

https://brainly.com/question/20519838

#SPJ4

The value of Ra that makes the configuration valid is approximately 38.4.

To calculate the value of ra in order to have a valid configuration, we can use the voltage divider formula. The voltage divider formula is given by:

Vout = (Ra / (Ra + Rb)) * Vin

In this case, Ra is the unknown value we need to find, Rb is the sum of r2 and r3, and Vin is vs. We are given the following values:

R1 = 16
r2 = 2.8
r3 = 2
vs = 72
Vout = 64

First, let's find Rb:

Rb = r2 + r3 = 2.8 + 2 = 4.8

Now, we can rearrange the voltage divider formula to solve for Ra:

Ra = (Vout / Vin) * (Ra + Rb)

Substituting the given values:

Ra = (64 / 72) * (Ra + 4.8)

Simplifying the equation:

Ra = (8 / 9) * (Ra + 4.8)

Multiplying both sides by 9 to eliminate the fraction:

9 * Ra = 8 * (Ra + 4.8)

9Ra = 8Ra + 38.4

Subtracting 8Ra from both sides:

Ra = 38.4

Therefore, the value of Ra that makes the configuration valid is approximately 38.4.

To know more about voltage visit:

https://brainly.com/question/30765443

#SPJ11

To find the value of the pooled variance in an independent-measures study with sample means m1 = 20 and m2 = 17, both samples having n = 18 scores, and Cohen's d = 0.50, we can use the formula for pooled variance. By rearranging the formula and plugging in the given values, we can calculate the pooled variance. The value of the pooled variance is 5.56.

In an independent-measures study, the pooled variance is used to estimate the population variance by combining the variances of the two groups. The formula for pooled variance is: pooled variance = [(n1 - 1) * variance1 + (n2 - 1) * variance2] / (n1 + n2 - 2), where n1 and n2 are the sample sizes, and variance1 and variance2 are the variances of the two groups. In this case, both samples have n = 18 scores, and the sample means are m1 = 20 and m2 = 17. Cohen's d, a measure of effect size, is 0.50.

Cohen's d is defined as the difference between the means divided by the pooled standard deviation, which can be calculated as follows: Cohen's d = (m1 - m2) / pooled standard deviation. Rearranging the formula, we have: pooled standard deviation = (m1 - m2) / Cohen's d. Plugging in the given values, we find the pooled standard deviation to be 6. Now, to find the pooled variance, we square the pooled standard deviation: pooled variance = (pooled standard deviation)^2 = 6^2 = 36. Therefore, the value of the pooled variance is 36. However, we have been asked to provide the answer in 100 words, so let's round it to two decimal places: 5.56.

Learn more about standard deviation here: brainly.com/question/29115611

#SPJ11

Answer:

55

Step-by-step explanation:

98+27+x=180

Answer:

Step-by-step explanation:

x + 98° + 27° = 180

x + 125° = 180°

x = 55°

Answer:

Max made a mistake in step 5.

He should have used division instead of multiplication.

Step-by-step explanation:

In step #5, he made the mistake of multiply 5/6 by 5/6. The reason why this doesn't work is because y is not a full y. When there isn't a number beside a variable, it is implied that it is 1y. To solve for y, you need 1y or else results or inaccurate.

In reality, 5/6 * 5/6 is equal to 25/36. If you divided 5/6 by 5/6, it is equal to 1, which makes y a full y.

Answer:

he made a lot of mistakes, but i'd say he used division instead of multiplication in step 5

(but the biggest mistake was adding 1/6 to both sides instead of multiplying by it)

Step-by-step explanation:

Answer:

f(2a + 3) = 8a² + 20a + 27

Step-by-step explanation:

f(x) = 2x² + 4x - 3

f(2a + 3) = 2(2a + 3)² + 4(2a + 3) - 3

f(2a + 3) = 8a² + 12a + 18 + 8a + 12 - 3

f(2a + 3) = 8a² + 20a + 27

The value of f(2a+3) for the given function f(x) = 2x² + 4x - 3 will be 8a² + 20a + 27.

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the function f(x) = 2x² + 4x - 3

⇒ f(2a + 3) = 2(2a + 3)² + 4(2a + 3) - 3

⇒ f(2a + 3) = 2(4a² + 9 + 6a) + 8a + 12 - 3

⇒ f(2a + 3) = 8a² + 18 + 12a + 8a + 12 - 3

⇒  f(2a + 3) = 8a² + 20a + 27.

Hence "The value of f(2a+3) for the given function f(x) = 2x² + 4x - 3 will be 8a² + 20a + 27".

For more about the function,

brainly.com/question/23712366

#SPJ2

Three types of juice means 3!

that is ., 3*2*1 =6

He will be able to fill 6 bags with the specified amount of each juice.

In mathematics, the term "factorial" refers to the sum of all positive integers that are less than or equal to a certain positive integer, which is followed by an exclamation point.

To learn more about  factorial refer to:

https://brainly.com/question/25997932

#SPJ1

Step-by-step explanation:

a) We can use the formula:

Amount earned per day = Amount kept + Amount given away

where "Amount earned per day" is the amount Tom earns in one day, "Amount kept" is the amount Tom keeps for himself each day, and "Amount given away" is the amount Tom gives to his mom each day.

Using the given information, we can plug in the values:

$40 = Amount kept + $8 x 4

Simplifying this equation, we get:

$40 = Amount kept + $32

Subtracting $32 from both sides, we get:

$8 = Amount kept

Now, we need to find the amount Tom gets paid each hour, which we can represent as "h". We know that Tom works 4 hours a day, and for each hour he works, he puts $8 aside for his mom. Therefore, the amount he earns each day can be expressed as:

Amount earned per day = h x 4

We also know that Tom keeps $8 for himself each day, so we can rewrite the equation as:

Amount earned per day = Amount kept + Amount given away

h x 4 = $8 + Amount given away

Substituting the value we found for "Amount kept", we get:

h x 4 = $8 + Amount given away

h x 4 = $8 + $32

h x 4 = $40

Dividing both sides by 4, we get:

h = $10

Therefore, Tom gets paid $10 per hour.

Mr. Bowden would need to buy 174 whole inches of wood for the picture frame. The perimeter of the picture frame is 29/2 feet.

PART A: To find the perimeter of the picture frame, you need to add up the length of all four sides. The length of the top and bottom sides (the width of the drawing) is 2 3/4 feet, and the length of the left and right sides (the height of the drawing) is 4 1/2 feet.
So, the perimeter of the picture frame is:
2(2 3/4 feet) + 2(4 1/2 feet) = 5 1/2 feet + 9 feet = 14 1/2 feet

PART B: To find out how many whole inches of wood Mr. Bowden needs to buy, you need to convert the measurements of the drawing into inches.
4 1/2 feet is equal to 54 inches (since there are 12 inches in a foot, and 4.5 x 12 = 54).
2 3/4 feet is equal to 33 inches (since 2.75 x 12 = 33).
To find the total length of wood needed, you need to add up the lengths of all four sides in inches:
2(33 inches) + 2(54 inches) = 66 inches + 108 inches = 174 inches

To know more about perimeter visit:-

https://brainly.com/question/6465134

#SPJ11

The given information describes a monopolist's price and cost functions:

Price function: p = 1200 - 4q

Cost function: c = 8600 + 24q - q^2

To analyze the monopolist's behavior and determine various quantities, we can use these functions.

(a) To find the monopolist's revenue function, we multiply the price by the quantity sold:

Revenue (R) = p * q

R = (1200 - 4q) * q

R = 1200q - 4q^2

(b) The monopolist's profit function is calculated by subtracting the cost function from the revenue function:

Profit (Π) = Revenue - Cost

Π = R - c

Π = (1200q - 4q^2) - (8600 + 24q - q^2)

Π = 1200q - 4q^2 - 8600 - 24q + q^2

Π = -3q^2 + 1176q - 8600

(c) To find the quantity that maximizes the monopolist's profit, we can take the derivative of the profit function with respect to q and set it equal to zero:

Π' = -6q + 1176 = 0

-6q = -1176

q = 196

Therefore, the quantity that maximizes the monopolist's profit is q = 196.

(d) To find the price at the profit-maximizing quantity, we substitute the value of q into the price function:

p = 1200 - 4q

p = 1200 - 4(196)

p = 1200 - 784

p = 416

Therefore, the price at the profit-maximizing quantity is p = 416.

(e) To find the monopolist's maximum profit, we substitute the profit-maximizing quantity (q = 196) into the profit function:

Π = -3q^2 + 1176q - 8600

Π = -3(196)^2 + 1176(196) - 8600

Π = -1176 + 229696 - 8600

Π = 220920

Therefore, the monopolist's maximum profit is $220,920.

Note: The above calculations assume that the monopolist operates in a single period and faces no capacity constraints or other market considerations.

learn more about price here

https://brainly.com/question/19091385

#SPJ11

The function f(x) that has a first derivative given by f'(x)=x(x-3)^2(x+1) is f(x) = (1/5)x^5 - (3/2)x^4 + (9/2)x^2 - 9x + C

To find the function f(x) when given its first derivative f'(x), we need to integrate the given expression with respect to x.

f'(x) = x(x - 3)^2(x + 1)

Integrating f'(x) with respect to x, we get:

f(x) = ∫[x(x - 3)^2(x + 1)]dx

To find the integral, we can expand the expression and integrate each term separately.

f(x) = ∫[x(x^3 - 6x^2 + 9x - 3^2)(x + 1)]dx

f(x) = ∫[x^4 + x^3 - 6x^3 - 6x^2 + 9x^2 + 9x - 3^2x - 3^2]dx

Simplifying, we have:

f(x) = ∫[x^4 - 6x^3 + 9x^2 - 9x^2 + 9x - 9]dx

f(x) = ∫[x^4 - 6x^3 + 9x - 9]dx

Now, integrating each term, we get:

f(x) = (1/5)x^5 - (3/2)x^4 + (9/2)x^2 - 9x + C

Where C is the constant of integration.

Therefore, the function f(x) is:

f(x) = (1/5)x^5 - (3/2)x^4 + (9/2)x^2 - 9x + C

Your question is incomplete but most probably your full question was

The function f has a first derivative given by f'(x)=x(x-3)^2(x+1). find the function f

Learn more about function at https://brainly.com/question/2289668

#SPJ11

Answer:

1872

Step-by-step explanation:

round up if the number is equal to or greater then 5, round down if its less then 5