find the volume of a regular hexagonal prism with the height of 22 apothem of 16 and a side length of 8

8778 cubic units
8558 cubic units
8448 cubic units
8668 cubic units

The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:

is this answer correct?

let me know in comment section!

Step-by-step explanation:

hope you liked it!

Answer:

slope=-3/2

Step-by-step explanation:

slope between 2 points=change in Y÷change in X, so it means minus

-1--4=-3

3-1=2

so the answer is:

slope=-3/2

Answer:

huh/

Step-by-step explanation:

Answer:

5% of 40 is 2, 50% of fourth is twenty and so on.

Step-by-step explanation:

To get my ander which ios two i multiplied 5% x 40, the answer is 2.

No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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Answer:

0.66

Step-by-step explanation:

divide the numbers

The model estimates an increase, on average of 0.86 cent per year in the price of the stamp.

What is meant by average?

Equation of best fit line is y =  -0.71 + 0.86x

y = predicted price in cents of a stamp.

x = represents the number of years since 1958.

Slope = 0.86 means rate of chance of price in cent per year slope is positive mean increase in price .

The model estimates an increase, on average of 0.86 cent per year in the price of the stamp.

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Answer:

no

Step-by-step explanation:

it is not strait

Hope this works!

Answer:

165 degrees Celsius

Step-by-step explanation:

The rounded figure of the amount Alex paid at the groceries shop is $108.

The process of replacing a number by another number of approximately the same value but having fewer digits is called rounding a figure.

Given that, Alex paid 108.34 for groceries. We need to round it to the nearest dollar,

We know that,

If the first decimal digit is 5 or more, we increase the whole part by one unit. For example, $34.57 rounded to the nearest whole dollar is $35.

If the first decimal digit is less than 5, we leave the whole part as it is. For example, $45.19 rounded to the nearest dollar is $45.

Here, the first decimal point is less than 5, therefore, we will leave the whole part as it is.

Hence, the rounded figure of the amount Alex paid at the groceries shop is $108.

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Answer:

3

Step-by-step explanation:

Hope this helps

Pls mark brainliest

Answer:

  y = -3√(x -1) +2

Step-by-step explanation:

You want the equation of the translated, reflected, and scaled square root function in the given graph.

We can find the amount of translation by looking at the position of the point that corresponds to (0, 0) on the graph of the parent function. That end point where the slope is vertical is located at (1, 2) on the given graph.

When a function y = f(x) is translated by (h, k), it becomes ...

  y = f(x -h) +k

For (h, k) = (1, 2) the translated function is ...

  y = f(x -1) +2 = √(x -1) +2

When the function is scaled, its value is multiplied by the scale factor. If that factor is 'a', our scaled and translated function is ...

  y = a√(x -1) +2

To find the scale factor, we can use the second point on the curve: (2, -1). Using these values for x and y gives ...

  -1 = a√(2 -1) +2

  -3 = a . . . . . . . . . . subtract 2, simplify

The transformed function is ...

  y = -3√(x -1) +2

__

Additional comment

The function is scaled before it is translated, so the scale factor does not apply to the translation.

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The goal of a hypothesis test is to determine if the data can refuse an assumption a parameter or a population.

Statistical hypothesis test: A statistical hypothesis test is a technique for determining whether the available data are sufficient to support a specific hypothesis. We can make probabilistic claims about population parameters through hypothesis testing.

The purpose of a hypothesis test is to ascertain whether the data can refute a parameter or population assumption.

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Therefore, the vector form of the equation y = x² - 8x + 15 is y = (x - 4)² + 14. The vertex of the parabola is at the point (4, 14).

To convert the quadratic equation y = x² - 8x + 15 from standard form to vertex form, we need to complete the square by adding and subtracting a constant term. Here's the step-by-step explanation:

Factor the coefficient of x²: The coefficient of x² is 1, so we don't need to factor it.

Group the x terms: Rewrite the quadratic equation as y = (x² - 8x) + 15.

Complete the square: To complete the square, we need to add and subtract a constant term that will make the expression inside the parentheses a perfect square trinomial. The constant we need to add is half of the coefficient of x, squared: (8/2)² = 16.

y = (x² - 8x + 16 - 16) + 15 // add and subtract 16

y = (x - 4)² - 1 + 15 // factor and simplify

Simplify: Now we can simplify the expression by combining the constants -1 and 15 to get 14.

y = (x - 4)² + 14

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The degree of the monomial -7q² + r³ + s⁶ is 11.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It represents a mathematical phrase or sentence and can be simplified or evaluated by substituting numerical values for variables.

The degree of a monomial is the sum of the exponents of its variables.

In the given monomial, -7q² + r³ + s⁶, the variables are q, r, and s, and their exponents are 2, 3, and 6, respectively.

So, the degree of the monomial is the sum of these exponents:

degree = 2 + 3 + 6 = 11

Therefore, the degree of the monomial -7q² + r³ + s⁶ is 11.

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Answer:

V = 339.12

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

Given:

r = 6

h = 9

Work:

V = πr²(h/3)

V = 3.14(6²)(9/3)

V = 3.14(36)(3)

V = 113.04(3)

V = 339.12

The minimum value of the function f(x) =0. 9x2+3. 4x-2. 4 is -3.77 and its parabolic curve is upward because of its minimum value.

Let's consider the equation of a function.

f(x) = \(0.9x^{2} + 3.4x -2.4\)

Now, divide each and every element and assume that a, b, and c are coefficients of the function given.

a: 0.9

b: 3.4

c: -2.4

The sign of the coefficient of a determines the exposure of the parabola. Since a >  0, the parabola is open upwards and has a minimum value.

We can find the "x" of the vertex using the following expression.

x(v) = -b/2a = -3.4/(0.9)

x(v) = -3.77

We can find the "y" of the vertex by replacing this x in the equation

y(v) = 0.9(-3.77)² + 3.4(-3.77) -2.4

y(v)  = -2.42

The minimum value of the function is -3.77

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Answer:

Step-by-step explanation:

5y+y+3+4y+2=55

10y=55-3-2

10y=50

y=50:10

y=5

QR = y+3

5+3=8

Answer: La luna tiene 4.53 billion anos

Step-by-step explanation:

a. To compute the flux integral SF.dA directly, we need to evaluate the surface integral over the surface S of the vector field F = x²i + 5y²j + z²k, dotted with the outward-pointing normal vector dA.

b. The surface S is the closed box with faces x = 1, x = 3, y = 0, y = 1, z = 0, and z = 3. Since the surface is closed and oriented outward, we can break it down into six individual surfaces: four rectangular faces and two square faces. c. For each face, we calculate the dot product of the vector field F with the outward-pointing normal vector dA. The magnitude of the normal vector dA is equal to the area of the corresponding face. d. Evaluating the integral for each face and summing up the results will give us the flux integral SF.dA directly.

e. On the other hand, we can also compute the flux integral using the Divergence Theorem, which relates the flux of a vector field across a closed surface to the divergence of the field over the volume enclosed by the surface. f. The divergence of F can be calculated as div(F) = ∇ · F = ∂(x²)/∂x + ∂(5y²)/∂y + ∂(z²)/∂z = 2x + 10y + 2z. g. Using the Divergence Theorem, the flux integral SF.dA is equal to the triple integral of the divergence of F over the volume enclosed by the surface S. h. Since the surface S is a closed box with fixed limits of integration, we can evaluate the triple integral directly to obtain the same result as the direct computation.

Note: The detailed calculation of the flux integral using both methods and the evaluation of each individual surface integral cannot be shown within the given character limit. However, by following the steps mentioned above and applying appropriate integration techniques, you can find the value of the flux integral SF.dA for the given vector field F and closed surface S.

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Answer:

x = 2

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (2, 3), (2, 5), (2, 7) all with an x- coordinate 2, thus

x = 2 ← equation of vertical line

Answer:

x = 2

Step-by-step explanation:

Firstly, when a line is parallel to the y axis, the equation of the line is x = the x position common to the points, in this case, x = 2.

but if you want to calculate,

from the points,

x1 = 2, y1 = 3

x2 = 2, y2 = 5

x3 = 2, y3 = 7

using the formula,

y-y1/x-x1 = y2-y1/x2-x1

y-3/x-2 = 5-3/2-2

y-3/x-2 = 2/0

crossing we have,

2(x-2) = 0(y-3)

2x - 4 = 0

2x = 4

x = 2

Answer:

so nyc=5 times 10^-2 miles

NYC-Mumbai=7.5 times 10^3

so

5 times 10^-2 times x=7.5 times 10^3

divide both sdies by 5 times 10^-2

x=(7.5 times 10^3)/(5 times 10^-2)

when dividing scientific notation you do this

x=(7.5 times 10^3)/(5 times 10^-2)=(7.5/5) times ((10^3)/(10^-2))

to divide exponents just subtract top from bottom

3-(-2)=5

answer is

x=1.5 times 10^5

Answer:

15×10^4

Step-by-step explanation:

Length of New York City = \(5\times 10^-^2\: miles\)

The distance from New York City to Mumbai, India = \(7.5\times 10^3\)

The distance from New York City to Mumbai is about how many times the length of a New York City north-south block? can be translated into the equation :

\(5 \times 10^-^2 \times x=7.5 \times 10^3\\\)

To solve the equation ,

\(5\times \:10^{-2}x=7.5\times \:10^3\\\\10^3=1000\\\\5\times \:10^{-2}x=1000\times \:7.5\\\\\mathrm{Multiply\:the\:numbers:}\:7.5\times \:1000=7500\\\\5\times \:10^{-2}x=7500\\\\Simplify\:5\times \:10^{-2} :\:\frac{1}{20} \\\\\frac{1}{20}x=7500\\\\\mathrm{Multiply\:both\:sides\:by\:}20\\\\20\times \frac{1}{20}x=7500\times \:20\\\\Simplify\\\\x=150000\\\\x = 15\times 10^4\)

Answer: 8 22 7 13 from top to bottom

Step-by-step explanation:

On the first row, the number of 2-player games is 1 meaning 2 players are playing meaning 48 are left to play the 6-player games so 8 is the number

On the second, the number of 6-player games is 1 meaning 6 players are playing meaning 44 are left to play the 2-player games so 22 is the number

On the third, the number of 2-player games is 4 meaning 8 players are playing meaning 42 are left to play the 6-player games so 7 is the number

On the fourth, the number of 6-player games is 4 meaning 24 players are playing meaning 26 are left to play the 2-player games so 13 is the number

Answer:

D. Use the Distributive Property. You clear the parentheses and then solve the two-step equation.

Step-by-step explanation:

Given problem;

         2(w − 3) = 5

To solve this problem:

   Use the distributive property to clear the parentheses;

     2w - 6 = 5

 Then, collect like terms, add 6 to both sides;

    2w  = 5 + 6

    2w  = 11

  Now divide both terms by 2

     w = \(\frac{11}{2}\)  

The formula for the Poisson distribution is:

P(x) = (e^(-λ) * λ^x) / x!

The Poisson distribution is a probability distribution that is used to model the number of times an event occurs within a certain interval of time or space.

It is often used in situations where the average number of events is known, but the exact number of events in a specific interval is uncertain.

where:

P(x) is the probability of x events occurring within a given interval.

λ (lambda) is the average number of events that occur within a given interval.

e is the mathematical constant approximately equal to 2.71828

x! is the factorial of x, which is the product of all the integers from 1 to x.

It is important to note that the Poisson distribution formula is only valid for x = 0,1,2,3, .... and λ > 0

The Poisson distribution is a discrete distribution, which means that it can only take on certain values, such as 0, 1, 2, 3, etc. It is a limiting form of the binomial distribution when the number of trials is large and the probability of success is small.

It is commonly used to model rare events such as accidents, natural disasters, and the number of customers arriving at a store in a given time period.

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Answer:

110

Step-by-step explanation:

Rate or proportion shows the relationship between the variation in the  number of two variables.

Given that the ratio of alternative songs to total songs is 9:14.

Total songs = 308

Since the to every 14 total songs, there is 9 alternative songs.

Thus,

Number of alternative songs = \(\frac{9}{14}\) x 308

                                                = 198

There are 198 alternative songs in the music library.

The number of songs that are NOT alternative songs = 308 - 198

                                                                                         = 110

Thus, there are 110 songs that are NOT alternative songs.

The value of z = 0.2

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

"The sum of the probabilities of all outcomes must equal 1."

For given situation,

An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.

The probability of customers choosing Vanilla flavor = 0.45

The probability of customers choosing Chocolate flavor = 0.35

We need to find the probability of customers choosing Strawberry flavor i.e., to find the value of z.

The sum of the probabilities of all outcomes must equal 1.

From given tree diagram,

⇒ 0.45 + 0.35 + z = 1

⇒ 0.8 + z = 1

⇒ z = 1 - 0.8

⇒ z = 0.2

Therefore, the correct answer is option (A)

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