3. Diego made the shape on the left, and Elena made the shape on the right. Each shape
uses 5 circles
Select all the true statements.
A. The smallest circle in Diego's design is congruent to the smallest circle in Elena's
design.
B. Diego's design is congruent to Elena's design
C. Elena's design is a translation of Diego's design

We need to  know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.

Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.

Therefore the margin of error is influenced by confidence level and sample size.

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Answer:

408 dollars

Step-by-step explanation:

448-40 is 408

The actual cost to see the game is $150, as that is the amount you paid for the ticket. The cost in this scenario can be considered an opportunity cost. By choosing to attend the game instead of selling the ticket for $400, you forgo the opportunity to earn that additional $400.

In this scenario, the cost of attending the game refers to the actual amount of money you spent on the ticket, which is $150. This is the out-of-pocket expense that directly affects your financial resources.

On the other hand, the opportunity cost is the potential benefit or value that you give up by choosing one option over another. In this case, if you had sold the ticket for $400, you would have received a higher amount of money, which represents the opportunity cost of attending the game. By deciding to go to the game, you forego the opportunity to earn that additional $400.

Opportunity cost is a concept in economics that emphasizes the value of the next best alternative forgone when making a decision. It helps assess the trade-offs involved in different choices and helps in evaluating the true cost of a decision beyond the immediate financial expenses.

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Answer

y = f(x) = 3x - 1

Explanation

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

Two lines that are parallel to each other have the same slope.

If the equation of a straight line is written in the form of y = 3x - 6,

,The slope and y-intercept form of the equation of a straight line is given as

y = mx + c

where

y = y-coordinate of a point on the line.

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

c = y-intercept of the line.

So, in y = 3x - 6, the slope = m = 3

So, using the point-slope form,

y - y₁ = m (x - x₁)

m = 3

(x₁, y₁) = (2, 5)

x₁ = 2, y₁ = 5

y - y₁ = m (x - x₁)

y - 5 = 3 (x - 2)

y - 5 = 3x - 6

y = 3x - 6 + 5

y = 3x - 1

In function notation, y = f(x)

So, the equation of the line required is

y = f(x) = 3x - 1

Hope this Helps!!!

The performance is likely to increase, as the feature size will be reduced, leading to increased efficiency of the processor.

Effect of Decreasing Feature Size on Processor Performance

The performance of a processor is largely determined by its feature size. As the feature size decreases, the processor can process more information in a given time due to the increased efficiency of its components. In this case, the designer has chosen to use a manufacturing process that decreases the feature size of the processor. This means that the processor will be able to process more information in a given time, leading to an increase in performance. All else being constant, the performance of the processor is likely to increase.

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c) the volume of the solid is 243/28 cubic units.

a. To find the area of R, we need to determine the points of intersection of the graphs y = sqrt(x) and y = x/3 in the first quadrant.

Setting sqrt(x) = x/3, we get x = 9/4. So, the region R is bounded by x = 0, x = 9/4, y = sqrt(x), and y = x/3.

Thus, the area of R is given by the integral:

∫[0,9/4] [sqrt(x) - x/3] dx

= [2/3 x^(3/2) - 1/6 x^2] evaluated from 0 to 9/4

= (2/3)(9/2)^(3/2) - (1/6)(9/4)

= 3√2 - 3/8

Therefore, the area of R is 3√2 - 3/8 square units.

b. To find the volume of the solid generated when R is rotated about the vertical line x = -1, we use the disk method. Each disk has a radius equal to the distance from x = -1 to the curve, and a thickness of dx.

The distance from x = -1 to y = sqrt(x) is 1 + sqrt(x), and the distance from x = -1 to y = x/3 is 1 + 3y. So, the volume of the solid is given by the integral:

∫[0,9/4] π[(1 + sqrt(x))^2 - (1 + 3x)^2] dx

= π ∫[0,9/4] (2sqrt(x) - 8x - 8sqrt(x)x) dx

= π [(4/3)x^(3/2) - 4x^2 - 4/3 x^(5/2)] evaluated from 0 to 9/4

= (16/3)π - (81/2)π/5 + (64/15)π

= (152π/15) - (81π/10)

= 19π/30

Therefore, the volume of the solid generated when R is rotated about the vertical line x = -1 is 19π/30 cubic units.

c. Since the cross sections perpendicular to the y-axis are squares, the area of each cross section is equal to the square of the corresponding value of y. So, the volume of the solid can be found by integrating the area of each cross section with respect to y.

The height of each cross section is given by the difference between the y-coordinates of the curves y = sqrt(x) and y = x/3 at a given value of y.

Thus, the volume of the solid is given by the integral:

∫[0,3] y^2 [sqrt(y) - y/3]^2 dy

= ∫[0,3] y^(5/2) - 2y^(7/2)/3 + y^3/9 dy

= [2/7 y^(7/2) - 4/27 y^(9/2) + 1/12 y^4] evaluated from 0 to 3

= (54/7) - (324/27) + (81/4)

= 54/7 - 36/1 + 81/4

= 243/28

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Answer:

Christian made $191.25 and Kenneth made $127.50 each.

Step-by-step explanation:

With each dog, you multiply how many dogs with the amount of cash they get each dog.

Christian: 15x12.75= $191.25

Kenneth: 10x12.75= $127.50

So you just multiply the amount of dogs with money :)

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

Answer:

25=4 is wrong

64=7 is wrong

10= 5 is wrong

99= 9 is wrong

The rest are right:)

Step-by-step explanation:

Answer:

18 sides.

Step-by-step explanation:

The interior and exterior angles sum to 180 so:

       I + E = 180

also  I - E = 140       (given)

So, adding to eliminate E:

      2I = 320

I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.

Since the sum of all exterior angles in a polygon = 360 degrees

- the number of sides = 360 / 20 = 18.

Answer:

In a simple linear regression model, if the plots on a scatter diagram lie on a straight line, what is the standard error of the estimate b. 0​

Step-by-step explanation:

If the plots on a scatter diagram lie on a straight line in a simple linear regression model, it indicates a perfect fit between the predictor variable and the response variable. In this case, the standard error of the estimate would be 0.

The standard error of the estimate represents the average distance between the observed values and the predicted values by the regression model. When the scatter diagram forms a perfect straight line, it means that the regression model can precisely predict the response variable using the predictor variable without any error.

Consequently, the residuals, which are the differences between the observed and predicted values, become zero for all data points, resulting in a standard error of 0. It is important to note that this scenario of a perfect fit on a scatter diagram is rare in real-world data, as there are typically variations and uncertainties in the relationship between variables.

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So, on solving the provided question we can say that by probability we have \(256.014\)= sample mean for 80th percentile

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

\(P(x < 240)\)

Transform to z score =  (sample mean - population mean)/(standard deviation(std)\(/sample size^0.5)\)

\(P(z < (240-250)/(50/49^0.5)\)

\(P(z < -1.4) = 0.0808\)

z-score corresponding to 80th percentile is 0.842

0.842 = (sample mean -\(250)/(50/49^0.5)\)

\(6.014\) = sample mean - \(250\)

\(256.014\)= sample mean for 80th percentile

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The values after bubble sort is called on an input array of length n has the complexity O(n²)

Bubble sort is a simple sorting algorithm that is commonly taught in high school. It works by repeatedly swapping adjacent elements that are in the wrong order until the entire array is sorted.

To better understand the values of the array after bubble sort, let's take an example. Suppose we have the following input array of length 5:

[4, 2, 8, 5, 1]

After the first pass of bubble sort, the largest element (8) is at the end of the array:

[2, 4, 5, 1, 8]

After the second pass, the second largest element (5) is at the second-to-last position:

[2, 4, 1, 5, 8]

After the third pass, the third largest element (4) is at the third-to-last position:

[2, 1, 4, 5, 8]

After the fourth and final pass, the array is fully sorted:

[1, 2, 4, 5, 8]

As you can see, bubble sort swaps adjacent elements until the largest element "bubbles up" to the end of the array, and the process repeats until the entire array is sorted in ascending order.

It's worth noting that bubble sort has a worst-case time complexity of O(n²), meaning that the number of comparisons and swaps required grows quadratically with the size of the input array.

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Answer:

ermmm...yeah

Step-by-step explanation:

Since you bring 12 items for 4 dinners, you have a total of 12 items to choose from.

For the first dinner, you need to choose 3 items out of the 12. You can do this in:

12 choose 3 = (12!)/(3!*(12-3)!) = 220 ways

For the second dinner, you have used up 3 items in the first dinner, so you have 9 items left to choose from. You need to choose 3 items out of the 9. You can do this in:

9 choose 3 = (9!)/(3!*(9-3)!) = 84 ways

For the third dinner, you have already used up 6 items, so you have 6 items left to choose from. You need to choose 3 items out of the 6. You can do this in:

6 choose 3 = (6!)/(3!*(6-3)!) = 20 ways

For the fourth dinner, you have already used up 9 items, so you have only 3 items left to choose from. You need to choose all 3 items. You can do this in:

3 choose 3 = (3!)/(3!*(3-3)!) = 1 way

Therefore, you can choose items for the first dinner in 220 ways, for the second dinner in 84 ways, for the third dinner in 20 ways, and for the fourth dinner in 1 way.

Answer:

La altura del globo con respecto al suelo es 449,6 metros.

Step-by-step explanation:

La afirmación está incompleta. El enunciado completo es: "Un globo vuela entre dos ciudades A y B, que distan entre sí 1.500 m. Los tripulantes del globo ven la ciudad A con un ángulo de depresión de 27°, mientras que para ver la ciudad B es de 36°. ¿Cuál es la altura aproximada del globo con respecto al suelo?

El diagrama geométrico de la situación se encuentra descrita en el archivo adjunto. La altura aproximada del globo puede obtenerse con ayuda de las funciones trigonométricas, en este caso, se recomienda utilizar la función tangente de los ángulos de depresión:

Ciudad A

\(\tan 27^{\circ} = \frac{h}{1500\,m-x}\)

\(0,510 = \frac{h}{1500\,m-x}\)

Ciudad B

\(\tan 36^{\circ} = \frac{h}{x}\)

\(0,727 = \frac{h}{x}\)

Donde \(h\) y \(x\) son la altura con respecto al suelo y la distancia horizontal con respecto a la ciudad A.

A continuación, se elimina la altura de ambas ecuaciones por igualación y se determina la distancia horizontal del globo con respecto a la ciudad A:

\(0,727\cdot x = 0,510\cdot (1500\,m-x)\)

\(1,237\cdot x = 765\,m\)

\(x = 618,432\,m\)

Finalmente, la altura del globo con respecto al suelo es:

\(h = 0,727\cdot x\)

\(h = 0,727\cdot (618,432\,m)\)

\(h = 449,600\,m\)

La altura del globo con respecto al suelo es 449,6 metros.

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question the equation is

y = 2x + 3

Comparing this equation with the general equation above

Slope / m = 2

Hope this helps you

Solution:

Given:

Therefore, to the nearest hundredth, the value of t for which the rocket's height is 82 feet is;

0.42 seconds or 12.21 seconds.

Akio is a public communication specialist with skill sets to influence and raise awareness for public.

What do you mean by public communication specialist?

Specialists in public-relations develop and uphold a positive public image for the people, groups, or organisations they represent. To influence how the public perceives their clients and to raise awareness of each client's efforts and objectives, they prepare press releases and create social media strategies.

Public relations, information output, and media requests are handled by communications specialists. They can also plan an organization's social media or advertising campaigns.

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Answer:

always

Step-by-step explanation:

Zero is always greater than any negative integer.

Answer:

7x + 4,

8y - 3 > 13,

8a,

9 < 5x - 1

Step-by-step explanation:

Hello!

For this question it's important to know what form an expression takes, which is essentially a group of "things" (such as x, y, and numbers) that don't necessarily equal anything else, that would be an equation

In other words, an expression is a mathematical statement that does not include an = sign.

Answer:

I don't really get the answer choices but I can show you how I did my work using factor trees.

I put astericks(*these) around the prime #'s(what's in the circles).

      630

         ^

        2.*   315

                 ^

         5. *       63

                        ^

                     3.*   21

                              ^

                            7*.  3*

hope this helps!!

To calculate the cumulative percent for a class interval, you need to divide the cumulative frequency by the total number of scores in the sample and then multiply by 100 to express it as a percentage.

In this case, the cumulative frequency for a class interval is given as 15, and the total number of scores in the sample is 25.

Cumulative percent = (Cumulative frequency / Total number of scores) * 100

Cumulative percent = (15 / 25) * 100

Cumulative percent = 0.6 * 100

Cumulative percent = 60

Therefore, the cumulative percent for the given class interval is 60%.

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Answer:

l : y=4

m: 2x+y-4=0

n: x-y-1=0

p: x= -4

Answer:

Step-by-step explanation:

l:y=4

m:y=2x+4

n:y=x-1

p:x=-4

Answer:

80

Step-by-step explanation:

first you need to substract 400 from 2000, then you divide the remaining by 20

Answer:

1/6

Step-by-step explanation:

We can make an equation for this:

‘Let’s call the number we’re searching for n. n times 7 is equal to n plus 1:

n × 7 = n + 1

Now all we have to do is solve for n:

7n = n + 1 ⇒ subtract 1 n on each side ⇒

6n = 1 ⇒ divide both sides by 6 ⇒

n = \(\frac{1}{6}\)