a high school senior uses the internet to get in- formation on february temperatures in the town where he’ll be going to college. he finds a web site with some sta- tistics, but they are given in degrees celsius. the conver- sion formula is °f

The dimensions of the poster found having the smallest area is H = 35. 87 cm and W = 25.63 cm.

Area A = H.W

Its printed material is either W - 4(2) or W - 8.

Its printed material is H - 6(2)

height = H - 12

The printed area is therefore (W - 8)(H - 12) = 380.

(W - 8)(H - 12) = 380

WH - 12W - 8H + 96 = 380

W(H - 12) - 8H = 284

W = (284 + 8H)/(H - 12)

Put the values in the area;

A(H) = H(284 + 8H)/(H - 12)

A(H) = (284H + 8H²)/(H - 12)

Differentiate with respect to H to find the rate change of area.

A'(H) = [(284 + 16H)(H - 12) - (284H + 8H²)(1)]/(H - 12)²

A'(H) = (284H - 3408 + 16H² - 192H - 284H - 8H²)/(H - 12)²

A'(H) = (8H² - 192H - 3408)/(H - 12)²

A'(H) = 8(H² - 24H - 426)/(H - 12)²

Put A'(H) = 0

8(H² - 24H - 426)/(H - 12)² = 0

Solving;

H = 35. 87 cm

Thus, W = 25.63 cm

Thus, the dimensions of the poster found having the smallest area is H = 35. 87 cm and W = 25.63 cm.

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the answer is C 6 1/6

The cost of one kilogram of each type of candy is 9 dollars per kilogram and 4 dollars per kilogram.

Given that,

Erika spent $21.00 at a candy store to purchase 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears. Irene spent $39.00 on 3 kilograms of gummy bears and 3 kilograms of cinnamon red hots.

We have to find how much would one kilogram of each kind of candy cost.

We know that,

Let's change the price of cinnamon red hots per kg to c and the price of gummy bears per kg to b.

3c+1b=21

3c+3b=39

By substitution method

-3c-b=-21    (Multiply one of the equation's terms by -1 to eliminate c.)

3c+3b=39

We get

2b=18

b=9 dollars per kilogram

To find c you can plug the value of b back into one of the equation above and 3c+9=21 which lead to 3c =12 so c=4 dollars per kilogram.

Therefore, the cost of one kilogram of each type of candy is 9 dollars per kilogram and 4 dollars per kilogram.

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Total cost ben would pay for the dog will be $128.8175.

The proportion of value in relation to the original value is measured using the percentage concept. In business, percentages are frequently employed to calculate a company's profit or loss percentage. Additionally, it is used in schools and colleges to show the grades that pupils have earned. A percentage formula can be used to assess the pupils' grades. In general, the definition of a percentage is any ratio of a value to the total value multiplied by 100. The percentage is denoted by the sign %.

Ben paid for dog = $119.00

Grooming to be done = 8.25% of $119.00

Total cost of grooming = $9.8175

Total cost after grooming for dog = $119.00 + $9.8175

= 128.8175 is the actual cost of dog.

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The boolean expression that evaluates to 1 if and only if A is schedule in at least one of the three periods is [tex]x_{ A1}+x_{ A2} +x_{ A3}[/tex].

A logical assertion that can only be TRUE or FALSE is called a Boolean expression. As long as both sides of the expression have the same fundamental data type, boolean expressions can compare data of any kind. Data can be tested to check if it is more than, less than, or equal to other data.

An expression that may only be evaluated as true or false is called a boolean expression (after mathematician George Boole). Let's examine some examples in everyday language: Pink is one of my favorite colors. I'm apprehensive about programming computers. • It's entertaining to read this book.

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the absolute extrema of the linear equation f(x) =  12x^2 -11x +2 are 27 (absolute maximum) for x = - 8 and - 9 (absolute minimum) for x = 4. (- 8, 27) and (4, - 9).

What are the absolute extrema of a linear equation within a closed interval?

According to the functions theory, linear equations have no absolute extrema for all real numbers, but things are different for any closed interval as absolute extrema are the ends of linear function. Now we proceed to evaluate the function at each point:

Absolute maximum

f(- 8) =   12x^2 -11x +2

f(- 8) = 27

Absolute minimum

f(4) = - 3 · 4 + 3

f(4) = - 9

By means of functions theory and the characteristics of linear equations, the absolute extrema of the linear equation f(x) = 12x^2 -11x+2  are 27 (absolute maximum) for x = - 8 and - 9 (absolute minimum) for x = 4. (- 8, 27) and (4, - 9).

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The volume of the solid region common to both cylinder is 8/3 when two half-cylinders of diameter 2 come together at a right angle.

Given that,

In the following figure, two half-cylinders of diameter 2 come together at a right angle.

We have to determine the solid region's common volume for the two half-cylinders. (Hint: Take into account slices that are parallel to the solid's base.)

We know that,

Using the Pythagoras theorem,

S²+x²=r²

Diameter=2

2r=2

r=1

S²+x²=1

S²=1-x²

S=√(1-x²)

[tex]\int\limits^1_0 {Area(x)} \, dx[/tex]

4[tex]\int\limits^1_0 {1-x^{2} } \, dx[/tex]

4(x-x³/3)₀¹

4(1-1/3)

4(2/3)

8/3

Therefore, The volume of the solid region common to both cylinder is 8/3 when two half-cylinders of diameter 2 come together at a right angle.

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Answer:

Step-by-step explanation:

C.

zeros of function  f⁡(x)=-(x+1)⁢(x−3)⁢(x+2) are -1, 3, and -2 and it is located at ( 0, -1) , ( 0, 3) and ( 0, -2)

The zeros of a polynomial f(x) are the values of x which satisfy the equation f(x) = 0. Here f(x) is a function of x, and the zeros of the polynomial are the values of x for which the f(x) value is equal to zero. The number of zeros of a polynomial depends on the degree of the equation f(x) = 0.

according to the question

f⁡(x)=-(x+1)⁢(x−3)⁢(x+2) are -1, 3, and -2

and it is located at

( 0, -1)

( 0, 3)

and ( 0, -2)

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If the final result of the second column is not 9, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.

One column of numbers consists of 33, 58, and 17. When the digits of the numbers are added together, the result is 3 + 3 + 5 + 8 + 1 + 7 = 27, and when the digits of 27 are then added together, the end result is 2 + 7 = 9.

If the final result of the second column was not nine, the numbers in the first column would not be the same as those in the second column, because the second column comes from the sum of the digits of the first column.

Therefore, If the final result of the second column is not 9, then the sum of the numbers in the first column is not equal to the sum of the numbers in the second column.

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The probability that all of them are real is 0.01875 or 1.875%

If the diamonds are replaced after each draw:

The probability of drawing a real diamond is 9/14, found by making the numerator the number of real diamonds and adding the total number of diamonds to find the denominator. 5+9 = 14.

To find the probability of all 9 diamonds drawn being real, multiply 9/14 by itself 9 times.  = 387420489/ 20661046784. This creates a probability of 387420489/ 20661046784. This cannot be reduced because there is no common factor. To express as a decimal, divide. 387420489/ 20661046784 = 0.01875. To turn this into a percent, multiply by 100. 0.01875*100 = 1.875

Hence, the probability that all of them are real is 0.01875 or 1.875%

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Answer:55.9074

Step-by-step explanation:

Answer:6

Step-by-step explanation: PQRS is 2x the size of ABCD

Kylie will most likely find the unit conversion charts in the appendix of her math textbook.

The correct answer option is option C

An appendix can be defined as a text that is added to the end of a book or an article which provides additional information that was best left as an addition or complement at the end rather than being included somewhere in the book or article, that is, appendix is an information supplementing the texts. The plural form of appendix is appendicitis.

Foreword: This is an introductory section preceding the main text of a book or other document, also known as a preface or introduction.

Introduction: An initial section of a book or article, which introduces the subject material.

Glossary: This is a list of terms in a particular domain of knowledge with their definitions.

Complete question:

Kylie's math instructor told the class to refer to the unit conversion charts in the textbook when completing the homework assignment. However, she discovered that these charts weren't in the assigned chapter. Where will Kylie MOST likely find the unit conversion charts in her math textbook?

A. Foreword

B. Introduction

C. Appendix

D. Glossary

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Answer: -6

Step-by-step explanation:

You're welcome I'm not sure if it corrects correct, but this is my answer

The mass that can rectangular air mattress can support in water before sinking is 97.2 kg

Consider the rectangular air mattress

The length = 2 meter

The width = 0.500 meter

The thickness = 0.100 meters

The volume = Length × width × thickness

The volume = 2 × 0.500 × 0.100

= 0.1 cubic meters

We know,

Total weight = Volume × Density × g

The density of water = 1000 kg/ meter square

Total mass = 0.1 × 1000 × 9.81

= 981 N

The the equation of mass will be

(2.8 + m) × 9.81 = 981

2.8 + m = 100

m = 100 - 2.8

m = 97.2 kg

Therefore, it will support 97.2 kg water before sinking

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Answer:

Step-by-step explanation:

o

Answer: 3/80 = 0.0375

When Ф(b)Ф(a) = Ф(ba) , then  Ф is an isomorphism G is abelian

Let ϕ:G→H be an isomorphism.

If G is abelian, we have xy = yx , for any x,y ∈ G. Consider any two element in H , say c and d . Since Ф is an isomorphism , we have c = Ф(a) and d = Ф(b) for some a,b ∈ G . Hence,

cd = Ф(a)Ф(b) = (ab) =Ф(ba)

=Ф(b)Ф(a) =  dc

This means H is an isomorphism.

If H is abelian, we have xy = yx, for any x,y ∈ H. Now consider two elements in G , say a and b .Since Ф is mapping , we have c = Ф (a) and d = Ф(b) for some c,d ∈ H. Hence ,

Ф(ab) = Ф(a)Ф(b) = cd = dc

= Ф(b)Ф(a) = Ф(ba)

Since,  is an isomorphism , we have ab = ba ,

This means G is also abelian  

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The length of the minute hand is stated as r=6 inches. We are aware that the minute hand will create a 90° angle in 15 minutes. The measurement is 9.4248 inches as a result.

What is an angle?

An angle is a shape made up of two rays that share an endpoint and is known as the vertex of the angle. These rays are known as the sides of the angle. The plane that contains the rays contains the angles created by two rays. The meeting of two planes can also result in an angle. They are referred to as dihedral angles.

The orientation of a line with another line or plane is represented by its angular position. How far the body has been rotated from the reference position is used to measure angular position.

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The estimated number of situps is 31.486.

What is equation straight line?

Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

Given that a= -1.24 and b=33.966, the regression equation is y= axe + b y= -1.24x + 33.966.

Here, "y" stands for the maximum number of situps an individual may perform, and "x" stands for the daily television viewing hours.

The estimated number of situps for a person who watches x=2 hours of TV is y=-1.24*2 + 33.966 y= -2.48 + 33.966 y= 31.486

Hence, The estimated number of situps is 31.486.

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The function that represent the proportional relationship between cost and number of songs is y = 3x and it's graph is attached below

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.

A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here,

To find the relationship between cost and number of songs, we can write a proportional relationship for this

y = mx

m = constant of proportionality

15 = m(5)

m = 15 / 5

m = 3

The constant of proportionality is 3

The function to represent the relationship between the cost and number of songs is

y = 3x

The graph of the function is attached below

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Answer:

The approximate area of the circle is:

50.24m²

Step-by-step explanation:

Circle area = 3.14 * (diameter/2)²

In this case:

Circle area = 3.14 * (8/2)²

Circle area = 3.14 * 4²

Circle area = 3.14 * 16

Circle area = 50.24 meters²

Prediction interval is more relevant than confidence interval.

Given,

Short term measures;-

Short-term actions and choices undoubtedly serve as significant beginning points for both concrete accomplishments and symbolic commitments. Several short-term actions appear to have the best potential of moving in the direction of wise growth over the long run, taking into account the obstacles, strengths, and weaknesses that have been identified.

Long term measures;-

Long-Term Performance Measures refers to the performance indicators created and used by the Committee to assess the Company's performance in order to determine the number of shares of Common Stock that will be paid to the Participant at the conclusion of a Restriction Period.

Here,

Prediction intervals must take into consideration both the random variation of the individual values and the uncertainty in predicting the population mean. Consequently, a prediction interval is always larger than a confidence interval. Additionally, as the sample size grows, the prediction interval won't condense to a single value.

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A tri-linear inequality for the estimate of the drug that would lower a typical patient's systolic blood pressure (using a 90% confidence level) is; 53.3   ≤  x-bar  ≤  58.3.

For the stated question-

Average of reduction in systolic blood pressure μ = 55.8.

Standard deviation s = 7.9.

Sample of size n = 29

The confidence interval is estimated as-

μ - t₀.₀₅(s/√n)  ≤  x-bar  ≤  μ + t₀.₀₅(s/√n)

Put the values-

55.8 - t₀.₀₅(7.9/√29)  ≤  x-bar  ≤  55.8 + t₀.₀₅(7.9/√29)

On simplifying,

53.3   ≤  x-bar  ≤  58.3

Thus, a tri-linear inequality for the estimate of the drug that would lower a typical patient's systolic blood pressure (using a 90% confidence level) is; 53.3   ≤  x-bar  ≤  58.3.

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The outcome of this question is determined by the number of alternative possibilities and their probability.

If there are only two conceivable outcomes, one of which is success and one of which is a failure, the theoretical chance of success is 50%. The theoretical probability of success is the sum of the probabilities of the two successful outcomes if there are three alternative outcomes.

If you know anything about probability, you're undoubtedly aware that the theoretical likelihood of any given result occurring in a given circumstance is always the same. Finally, the theoretical likelihood that any of the outcomes will be successful if a circumstance is repeated is the sum of the probabilities of each successful outcome divided by the entire number of alternatives.

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The correct question is-

What is the theoretical probability that any one of the outcomes will be a success if a situation is repeated again and again?

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