You and two friends are thinking of getting pizza for dinner. The three of you noticed on the website that they have a special of two medium pizzas, with a 14 inch diameter, or one extra-large pizza, with a 20 inch diameter.

Which promotion gives you more pizza? Response area

How much more area will you receive from the promotion you picked? Round your answer to the nearest tenth. Response area

Answer: 27 Remainder 11

Step-by-step explanation: hope this helps you

Answer:

j = 2/3

Step-by-step explanation:

-1/3 = -1/2 j

Multiply each side by -2

-1/3 * -2 = -1/2 j * -2

2/3 =j

Answer:

j = 2/3

Step-by-step explanation:

-2/3 = -j

j = 2/3

If the sum of three numbers is 50, it forms a linear equation that is x + y + z = 50. By solving this equation we can get the value of x, y and z.

The Equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. There are different types of equations like linear, quadratic, cubic, etc. There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. The most basic and simple algebraic equations consist of one or more variables in math.

The sum of three number is 50 the first number is twice the second number the third number is half the first number.

x + y + z = 50

x = 2y

z = x / 2

Here we form a linear equation. A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. By solving this linear equation we can get the value of x, y and z.

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Answer:

29. D

30. A

31. C

32. B

33. A

Step-by-step explanation:

The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

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The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer: B) 112 m

Step-by-step explanation: Hope this helps! There are 168 hours in a week. You divide by 3 because it moves 2 meters every 3 hours. Then you multiply by 2.

The number of bacteria in the petri dish after 24 hours will be y = 125 + 24x

Given is Gina was working in the laboratory on an experiment involving the population of bacteria. Her initial starting amount in a petri dish was 125 bacteria.

Assume that each hour the bacteria rises by [x] bacteria per hour. Then,

the number of bacteria in the petri dish after 24 hours will be -

y = 125 + 24x

Therefore, the number of bacteria in the petri dish after 24 hours will be y = 125 + 24x.

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The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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The marginal cost of producing one more unit of the product when x = 100 is $150 per unit. To find the instantaneous rate of change (or the marginal cost) of c with respect to x when x = 100, we need to calculate the derivative of the cost function c(x) with respect to x and evaluate it at x = 100.

Let's assume that we have the cost function c(x) = 0.5x^2 + 50x + 1000, where x is the number of units produced. To find the derivative of this function, we need to use the power rule of differentiation, which states that if f(x) = x^n, then f'(x) = nx^(n-1). Applying this rule to our cost function, we get:

c'(x) = d/dx (0.5x^2 + 50x + 1000)
     = 1x^(2-1) + 50x^(1-1) + 0
     = x + 50

Now, we can evaluate this derivative at x = 100 to find the marginal cost:

c'(100) = 100 + 50
       = 150

Therefore, the marginal cost of producing one more unit of the product when x = 100 is $150 per unit. This means that if the company produces one more unit of the product, it will cost them $150 more than the cost of producing the previous unit. The significance of the marginal cost will be explained in a future chapter, but for now, it is important to understand that it is a crucial concept in economics and business decision-making.

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Answer: Multiplying 3x and -x we obtain A= -3x^2

Ms. Leon will have a total of $840 in her savings account by the end of 4 years.

To calculate the total amount that Ms. Leon will have in her account at the end of 4 years with simple interest, we can use the following formula:

A = P(1 + rt)

where:

A = the total amount in the account at the end of the time period

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

t = the time period (in years)

Putting in the given values, we get:

A = 750(1 + 0.03 × 4)

A = 750(1.12)

A = $840

Therefore, at the end of 4 years, Ms. Leon will have a total of $840 in her savings account.

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In this the correct choice is: D. There are no relative maxima and no relative minima.

The given function is y = \(x^{3}\) - 12x + 3. To find the relative maxima and minima, we need to calculate the first and second derivatives of the function.

First, let's find the first derivative: y' = 3\(x^{2}\) - 12

Now, let's find the second derivative: y'' = 6x

To apply the second-derivative test, we need to determine the critical points by setting the first derivative equal to zero and solving for x:

3\(x^{2}\) - 12 = 0

\(x^{2}\)- 4 = 0

(x - 2)(x + 2) = 0

From this equation, we find that x = 2 and x = -2 are the critical points.

Now, let's evaluate the second derivative at these critical points:

y''(2) = 6(2) = 12

y''(-2) = 6(-2) = -12

Since the second derivative at x = 2 is positive (12 > 0) and the second derivative at x = -2 is negative (-12 < 0), the second-derivative test tells us that there are no relative maxima or minima. Therefore, the correct choice is D. There are no relative maxima and no relative minima for the given function.

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The complete question is:

Test for relative maxima and minima. Use the second-derivative test, if possible. y=x3 - 12x + 3 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The relative maxima occur at x = 2. The relative minima occur at -2. (Type integers or simplified fractions. Use a comma to separate answers as needed.) The relative maxima occur at x=-2. There are no relative minima. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O C. The relative minima occur at x = 2 . There are no relative maxima. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OD. There are no relative maxima and no relative minima.

Therefore, each section of the highway is 3/8 of a mile long.

Length is a measurement of how long an object is, typically referring to the distance from one end of the object to the other end. It is a fundamental physical quantity that is used in various fields, including mathematics, physics, engineering, and everyday life. Length is usually measured in units such as meters, centimeters, feet, or inches, depending on the context and the system of measurement being used. In mathematics, length can refer to the perimeter of a two-dimensional shape or the arc length of a curve in three dimensions.

Let x be the length of each section of the highway, then we have:

\(x + x = 3/4\)

Simplifying the left-hand side of the equation:

\(2x = 3/4\)

Dividing both sides by 2:

\(x = 3/8\)

Therefore, each section of the highway is 3/8 of a mile long.

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A sample observation results in a point estimate of 0.53 for the mean value of paint thickness.

The mean value theorem states that there is one point on a curve where the tangent is parallel to the secant running through the two points.

A low-viscosity paint sample with the following thickness is provided to us.

0.810.870.901.051.111.141.301.301.481.481.591.601.661.691.781.84

a) Point estimate of the mean value of coating thickness.

To estimate the mean coating thickness, we use the mean value of the sample.

mean= sum of all observations/total number of observations

mean=8.16/16

mean=0.53

Construct a normal probability plot for the following sample of observations on coating thickness for low-viscosity paint. 0.810.870.901.051.111.141.301.30 1.481.481.591.601.661.691.781.84 Determine the z percentile associated with each sample observation. (Round your answers to two decimal places.)

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Below are some authorial techniques that can be used to create mystery, tension, or surprise in literature.

Order of events: The order in which events are presented can create a sense of mystery or suspense.

Pacing: The pace of a story can also be used to create suspense. A slow-paced story can build tension by allowing the reader to dwell on the details of a situation, while a fast-paced story can create excitement and surprise by keeping the reader guessing what will happen next.

Structure: The structure of a story can also be used to create mystery, tension, or surprise. For example, a story that is told in flashback can create a sense of mystery by revealing information about the past that is relevant to the present.

Time manipulation: The manipulation of time can also be used to create suspense.

Language: The language that an author uses can also be used to create mystery, tension, or surprise. For example, an author might use vague or ambiguous language to create a sense of mystery, or use strong language to create a sense of tension or surprise.

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Answer:

Step-by-step explanation:

boody boody

Answer:

the graph... it's slope is |2| and the chart is |1|

the absolute values are there because the questions only says "how steep"

not the direction

Step-by-step explanation:

No, because intergers don't include fractions.

Answer:

No

Step-by-step explanation:

Integers cannot have any fractions.

If you simplify this to get 8/1 and then 8, 8 is an integer

Answer:

0.95=95%

Step-by-step explanation:

25,000*0.95=23750

Answer:

9x^2 - 49y^2

Step-by-step explanation:

Answer: 9x^2 - 49y^2

Step-by-step explanation:

(3x + 7y)(3x − 7y)

9x^2 -21xy + 21xy - 49y^2

9x^2 - 49y^2

Answer:

6, 12, 18, 24, 30

Step-by-step explanation:

1+2+3+4+5 = 15

90 divided by 15 is 6

6x1 = 6

6x1 = 12

6x1 = 18

6x1 = 24

6x1 = 30

The range of the numbers is 24.

The range is the difference between the highest value and the lowest value of the data. It helps in knowing the spread of the data.

Range = Highest Value - Lowest Value.

Here, Let the five numbers be x , 2x, 3x, 4x, and 5x

         Sum of numbers = 90

Now, x + 2x + 3x + 4x + 5x = 90

                    15x = 90

                     x = 90 / 15

                    x = 6

So, the numbers are 6, 12, 18, 24, 30

Range = Highest Value - Lowest Value

Range = 30 - 6 = 24

Thus, The range of the numbers is 24.

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The sequence of arithmetic sequence be 37, 29, 21, 13 then the 52nd term exists 445.

The term "arithmetic sequence" refers to an ordered collection of numbers with a common difference between each succeeding word.

Arithmetic sequences are those that contain these patterns. The difference between successive terms in an arithmetic series is constant.

An arithmetic sequence, also known as an arithmetic progression, is a set of numbers where each term differs from the one before it. The arithmetic sequence formula makes it simple to determine a term's value and the sequence's common difference.

The AP's first period is 37.

Common difference = 37 - 29 = 29 - 21 = 8.

Let the equation of arithmetic sequence be a + ( n - 1 )d, where d is the common difference and a is the first term.

To find the 52nd term, we get

substitute the values in the above equation, we get

⇒ 37 + ( 52 - 1 )8

simplifying the above equation, we get

⇒ 37 + ( 51 )8

⇒ 37 + 408

⇒ 445

Therefore, the 52nd term of the arithmetic sequence exists 445.

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Answer:

C

Step-by-step explanation:

A closed circle means inclusive, and -2 is included in values that would make the equation true. Then you just have to test another number greater than and less than -2 to see which way the arrow should point.

-3(-3) + 1 < 7

9 + 1 < 7

10 < 7 FALSE

-3(0) + 1 < 7

1 < 7 TRUE

All values (including -2) will make this equation true

Question:

Which number line shows all the values of x that make the inequality

-2x - 7 ≥ 13 true?

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

2

I believe it might be 1.11

The length of the package is 32 inches and the width and height of the package are 16 inches each.

The volume of the package is 8192 cubic inches.

(a)

Assume that the length is y in and that the width and height be equal to x in as the base is a square.

Therefore,

The girth is 4*x = 4x inches

The maximum sum of length and girth is 72.

So, according to the equation:

y + 4x = 72

Subtracting 4x from each side of the equation,

y + 4x - 4x = 72 - 4x

y = 72 - 4x

The following formula can be used to determine the package's volume:

Volume = length × width × height

Volume = y × x × x

Volume = x²y cubic inches

Substituting the values in the above equation,

Volume = x² ( 96 - 4x )

Volume = 96x² - 4x³ cubic inches

The volume will be maximum when dV / dx = 0.

So,

dV/dx = d/dx ( 96x² - 4x³ ) = 0

2(96)x - 4(3)x² = 0

192x - 12x² = 0

x( 192 - 12x ) = 0

So, x = 0 which is not possible.

or

192 - 12x = 0

Adding 12x on each side of the equation.

192 = 12x

Dividing each side of the equation by 12.

x = 16 inch

Now substituting this value in y = 96 - 4x.

y = 96 - 4x

y = 96 - 4(16)

y = 96 - 64

y = 32 inch

(b)

The volume of the package = length × width × height

volume = 32 × 16 × 16

volume = 8192 cubic inches

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The statement made by Lincoln in the movie "Lincoln" refers to a mathematical principle known as Euclid's first common notion. This notion can be seen as an example of both a postulate and a theorem.

In the statement, Lincoln says, "Things which are equal to the same things are equal to each other." This is a fundamental idea in mathematics that is often referred to as the transitive property of equality. The transitive property states that if a = b and b = c, then a = c. In other words, if two things are both equal to a third thing, then they must be equal to each other.

In terms of Euclid's first common notion being a postulate, a postulate is a statement that is accepted without proof. It is a basic assumption or starting point from which other mathematical truths can be derived. Euclid's first common notion is considered a postulate because it is not proven or derived from any other statements or principles. It is simply accepted as true. So, in summary, Euclid's first common notion, as stated by Lincoln in the movie, can be seen as both a postulate and a theorem. It serves as a fundamental assumption in mathematics, and it can also be proven using other accepted principles.

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