1. Segment AB measures 3 cm. Point O is the center of dilation. How long is the image of AB after a dilation with ... a. Scale factor 5? 1 2 Scale factor 3.7? C. Scale factor 3 4 d. Scale factor s?​

The expression which we differentiate the function 8 times  \(d^8/d^3\) is equivalent to \(d^5\).

Differentiation is a mathematical process of finding the derivative of a function. In other words, it is the process of calculating the rate at which a function is changing at a specific point.

To simplify this expression, we can use the property of differentiation known as the power rule, which states that the derivative of \(x^n\) with respect to x is \(nx^(n-1)\\\). Using this rule repeatedly, we can differentiate the function 8 times to get:

\(d^8/dx^8\) [f(x)] = \((d/dx)^8\)[f(x)]

And differentiating the function 3 times gives:

\(d^3/dx^3\) [f(x)] = \((d/dx)^3\) [f(x)]

So the original expression can be rewritten as:

\((d/dx)^8\) [f(x)] / \((d/dx)^3\) [f(x)]

To simplify this expression further, we can subtract the exponents in the denominator from the exponents in the numerator, giving:

\((d/dx)^(8-3)\) [f(x)]

Which simplifies to:

\((d/dx)^5\)[f(x)]

So the expression \(d^8/d^3\) is equivalent to \(d^5\).

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1. The parse tree for the statement D = 24 * 21 + T + Y is:

       D

      /|\

     / | \

    *  +  +

   / \    \

  24  21   +

          / \

         T   Y

2. The parse tree for the statement C = 10(T + 11) / 40 is:

       C

      /|\

     /= \

    /   \

   /     \

  /       \

 *        40

/ \

10  +

  / \

 T  11

3. The parse tree for the statement A = 10 % 2 is:

      A

     /|\

    /= \

   /   \

  /     \

 %       2

/ \

10  2

1. For the statement D = 24 * 21 + T + Y, the parse tree represents the order of operations. First, the multiplication of 24 and 21 is performed, and the result is added to T and Y. The parse tree shows that the multiplication operation (*) is at the top, followed by the addition operations (+) and the variables T and Y.

2. For the statement C = 10(T + 11) / 40, the parse tree represents the order of operations and the grouping of terms. Inside the parentheses, the addition of T and 11 is performed, and then the result is multiplied by 10. Finally, the division by 40 is performed. The parse tree shows the multiplication operation (*) at the top, followed by the division operation (/) and the variables T and 11.

3. For the statement A = 10 % 2, the parse tree represents the modulo operation (%) between 10 and 2. The parse tree shows the modulo operation at the top, with the operands 10 and 2 as its children.

Parse trees provide a graphical representation of the syntactic structure of a statement or expression, showing the relationships between the operators and operands. They are useful for understanding the order of operations and the grouping of terms in mathematical expressions.

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Answer:

y=-3/5x-5

the slope would be -3/5

Answer:

The best and most correct answer among the choices provided by your question is the the first choice. We can conclude from the figure you specified that the "Points are graphed at negative 3 comma 2 and negative 1 comma negative 1". I hope my answer has come to your help.

Step-by-step explanation:

A: −3 over 2

You will need amount of 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.

To calculate how much butter is needed for 3 cups of flour in a recipe, start by identifying that the recipe requires a ratio of 1 cup of butter for every 2 cups of flour. To get the amount of butter needed for 3 cups of flour, multiply 1 cup of butter by 1.5. This will give you 1.5 cups of butter, which is the amount needed for 3 cups of flour.  Therefore, you will need 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.  To ensure accuracy, it is recommended to measure the ingredients carefully and double check your calculations before proceeding.

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Answer:

46

Step-by-step explanation: Do 23x2

Answer:

46 inches and Audrey better be a dog

Step-by-step explanation:

Answer: x=10/9

Step-by-step explanation:

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

x = 15/\(\sqrt{3}\) and y = 30/\(\sqrt{3}\)

Step-by-step explanation:

I just used this trick I remembered from Honors Geometry. I am now in Honors Algebra II w/ Trig. So this trick is what is used for 30-60-90 special right triangles

For the given continuous random variable x:

(a) p(x < 4) = -8/27.

(b) p(3 ≤ x < 4) = -5/27

The continuous random variable x that can assume values between x = 2 and x = 5 has a density function given by f(x) = 2(1 x)/27.

(a) To find p(x < 4), we need to integrate the density function from x = 2 to x = 4:

p(x < 4) = ∫24 2(1 x)/27 dx

= (2/27) ∫24 (1 - x) dx

= (2/27) [(x - x2/2)]24

= (2/27) [(4 - 42/2) - (2 - 22/2)]

= (2/27) [(4 - 8) - (2 - 2)]

= (2/27) [(-4) - 0]

= (2/27) (-4)

= -8/27

So, p(x < 4) = -8/27.

(b) To find p(3 ≤ x < 4), we need to integrate the density function from x = 3 to x = 4:

p(3 ≤ x < 4) = ∫34 2(1 x)/27 dx

= (2/27) ∫34 (1 - x) dx

= (2/27) [(x - x2/2)]34

= (2/27) [(4 - 42/2) - (3 - 32/2)]

= (2/27) [(4 - 8) - (3 - 4.5)]

= (2/27) [(-4) - (-1.5)]

= (2/27) (-2.5)

= -5/27

So, p(3 ≤ x < 4) = -5/27.

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The target population is the population of interest that researchers aim to generalize their findings to.

The correct answer is c. sample.

In a research study, the population of interest is often too large or too difficult to access entirely. Therefore, researchers select a representative subset of the population to study, which is called a sample. In this case, patients with inflammatory bowel disease are the population of interest, and those who participate in the study are the sample.

The accessible population refers to the portion of the population that is accessible to the researcher. For example, if a researcher is studying the prevalence of a disease in a certain region, the accessible population would be the individuals living in that region.

An element refers to a single member of the population or sample.

The target population is the population of interest that researchers aim to generalize their findings to.

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Answer:

\(3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})\)

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

\(ax^2+bx+c\)    (1)

You have the following polynomial:

\(3x^2-10x+8\)    (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

\(x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)    (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

\(x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}\)

Then, the factorization of the polynomial is:

\(3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})\)

70% of those who went to the music concert and the play also did so.

A value or ratio that may be stated as a fraction of 100 is referred to in mathematics as a percentage. Divide the number by the total and multiply by 100 to find the percent of a given number. A portion per hundred is what the percentage denotes. Percentage refers to one in a hundred. The word "%" stands in for it.

In addition to being stated as a decimal or a fraction, a percentage is a number that indicates how many out of 100 it is. Three for the price of one! Simply enter the % as the numerator and 100 as the denominator to convert the percentage to a fraction.

We know that 350 people attended the drama play.

50% of 350 = (0.5) · 350 = 175 people attended both the drama play and music concert.

We know that 250 people attended the music concert.

The percentage of the people who attended the music concert even attended the drama play would be 175 ÷ 250 · 100% = 70%

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70% of those who went to the music concert and the play also did so.

Hence, the option A is correct.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage. In order to get the percentage of a given number, divide the number by the total and multiply by 100. The percentage is a chunk out of one hundred. One out of 100 is referred to as a percentage. The symbol for it is "%".

A % is a number that, in addition to being expressed as a decimal or a fraction, also specifies how many out of 100 it is. For the price of one, get three! To convert a percentage to a fraction, just enter the% as the numerator and 100 as the denominator.

We know that 350 people attended the drama play.

50% of 350 = (0.5) · 350 = 175 people attended both the drama play and music concert.

We know that 250 people attended the music concert.

The percentage of the people who attended the music concert even attended the drama play would be 175 ÷ 250 · 100% = 70%

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Answer:

aaaaaa

Step-by-step explanation:

did it on edge

Rolle's Theorem can be applied on \(-x^2 + 9x\) on [0, 9]

What is Rolle's Theorem?

Rolle's Theorem states that

1) If f is continuous on [a, b]

2) f is differentiable on (a, b)

3) f(a) = f(b)

Then there exist a point c in (a, b) such that \(f^{'}(c) = 0\)

Here, f(x) = \(-x^2 + 9x\)

f is continuous on [0, 9] as it is a polynomial function.

f is differentiable on (0, 9)

f(0) = \(-0^2+9\times 0 = 0\)

f(9) = \(-9^2+9 \times 9 = 0\)

f(0) = f(9)

So Rolle's Theorem has been applied here

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Answer:

$67,680

Step-by-step explanation:

average is calculated as

average = \(\frac{sum}{count}\)

Denver

\(\frac{sum}{137}\) = 67,013 ( multiply both sides by 137 )

sum = 9,180,781

Anchorage

\(\frac{sum}{25}\) = 71,332 ( multiply both sides by 25 )

sum = 1,783,300

total sum for both = $9,180,781 + $1,783,300 = $10,964,081

then average salary across both companies is

average = \(\frac{10,964,081}{162}\) = $67,680 ( to the nearest dollar )

The equations which has the same value of x as the given equation; Three-fifths (30 x minus 15) = 72 are;

Since the given equation in the task content is;

Three-fifths (30 x minus 15) = 72

The word phrase can be written algebraically as follows;

3/5 ( 30x - 15 ) = 72

The equation can therefore be solved as follows;

(3/5 × 30x) - (3/5 × 15) = 72

= ( 3 × 6x ) - (3 × 3) = 72

= 3 (6x - 3) = 72............. Equivalent expression.

By the distributive property; we have;

18x - 9 = 72..................... Equivalent expression

And by solving for the value of x; we have;

18x = 81

x = 81 / 18

x = 4.5

On this note, the equations which have the same value for x as; Three-fifths (30 x minus 15) = 72 are;

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Answer:

The factor pairs are: 1,16   2*8  and 4*4

Step-by-step explanation:

Factor pairs are the pairs of numbers that multiply to 16

1*16 = 16

2*8=16

4*4 = 16

The factor pairs are: 1,16   2*8  and 4*4

\(\textit{circumference of a semicircle}\\\\ C=\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=81.212 \end{cases}\implies 81.212=\pi r\implies \cfrac{81.212}{\pi }=r \\\\\\ \stackrel{\textit{its diameter is}}{2r\implies 2\left( \cfrac{81.212}{\pi } \right)} ~~ \approx ~~ 51.7\)

The four-sided geometric object known as a tetrahedron (WXYZ) has four triangle faces that are joined to one another at their edges. Its vertices are all linked, and its faces are all equilateral triangles.

The three-dimensional geometric structure known as a tetrahedron (WXYZ) has four triangle-shaped faces. The edges of each of the tetrahedron's faces are joined to one another. All of the faces are triangular shapes with equal sides, or equilateral triangles. The tetrahedron is a solid shape because all of its vertices are joined together. The tetrahedron's four vertices are joined to one another, forming a pyramid-like shape. The tetrahedron's four vertices are the only points that do not form the triangle faces. The tetrahedron's four faces come together to produce a point in the middle of the shape. The apex of the tetrahedron is where this point is located. The faces of the tetrahedron are all congruent, or identical, as they are a regular polyhedron.

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Hasing algorithms helps in converting files into a bit string representation which would represent the information in the file. Hence, hashing algorithms are used in the creation of message digest.

The hashing algorithm produces unique hash for every file, hence it is very useful in making comparison for equality between files, as files with different content will have different hash strings.

The most common types of hash algorithms are Message digest Algorithms (MD-5) and the Secure Hash Algorithm (SHA-1).

THEREFORE, Hash algorithms may be used to create message digest.

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Moving along a circle that is encircled by a square is point p. The bottom-left corner of the square is fixed at point q. Drag the point p around the circle in the applet below to investigate this issue.

As Point P moves from A to \($B \rightarrow$\)

(d) Distance, increases then decreases.

As point P moves from B to \($C \rightarrow$\)

(a) Distance Decreases

As point P moves from C to \($D \rightarrow$\)

(b) Distance tier eases then increases.

a As Point P moves from D to\($A \rightarrow$\)

(c) Distance increases.

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Answer:

the largest angle=<PQR

c.) 16m, 24m, 38m

The largest angle of the triangle is ∠PQR and the measurements of the triangles are 16m, 24m, 38m

A triangle is a three-sided flat figure or polygon with three angles.

A triangle has three vertices, and the internal angles amount to 180°.

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x L x B

For a right angle triangle

From the Pythagoras Theorem ,

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔPQR

Now , the measure of side PQ = 7

The measure of side QR = 8

The measure of side PR = 14

Now , for a triangle , the angle opposite the smallest side of a triangle has the smallest measure.

And , the angle opposite the largest side has the largest measure

So , the angle opposite to the side PR = ∠PQR

Therefore , The triangle's largest angle is ∠PQR

Now , the measure of the sides of the triangles are given and

a + b > c

when a = 16 , b = 24 and c = 38

16 + 24 > 38

40 > 38

Therefore , the measures 16m, 24m, 38m form a triangle

Hence , the triangles are solved

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The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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Answer:

5.6ft squared

Step-by-step explanation:

4x7 = 28 divided by 5 which is 5.6

The area of the rectangular lot with the dimension of 10 dm by 15 dm is 1,500 m2.

The area of a rectangular lot can be calculated by multiplying the length (L) and the width (W) of the lot. The formula for calculating the area of a rectangular lot is: Area = L x W. In this case, the length of the lot is 10 dm (decimeters) and the width is 15 dm, so the area is 10 dm x 15 dm = 150 dm2. To convert this to square meters (m2), we need to divide 150 dm2 by 10,000, since there are 10,000 dm2 in 1 m2. Therefore, 150 dm2 = 1,500 m2. So, the area of the rectangular lot with the dimension of 10 dm by 15 dm is 1,500 m2.

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