Which expression represents the product of 3 and (5/4+1.8)(5/4n+1.8) ?

The graph of the triangle after the dilation is given by the image presented at the end of the answer.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The vertices of the original triangle after given as follows:

F(1,1), G(3,1) and H(3,2).

The scale factor is given as follows:

k = 3.

Hence the vertices of the dilated figure are given as follows:

F'(3,3), G'(9,3) and H'(9,6).

When a figure is reflected over the x-axis, the sign of the y-coordinate is changed, hence the vertices of the reflected figure are given as follows:

F''(3,-3), G''(9,-3) and H''(9,-6).

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Answer:

10. a. no

b. yes

c. no

d. no

e. no

11. a. yes

b. no

c. yes

d. no

e. no

Answer:

Since g(x) is a translation of f(x) = x², we can write the function rule for g(x) in terms of f(x) as:

g(x) = f(x - h) + k

where h and k are the horizontal and vertical translations, respectively. To determine the values of h and k, we need to look at the graph of g(x).

From the graph, we can see that the vertex of g(x) is at the point (-2, -8). This means that the horizontal translation is 2 units to the right (since the vertex of f(x) = x² is at the origin), and the vertical translation is 8 units downward.

Therefore, we have:

h = 2

k = -8

Substituting these values into the general form of g(x), we get:

g(x) = a(x - 2)² - 8

To determine the value of a, we can use another point on the graph. For example, we can use the point (-6, 2), which is 4 units to the left and 10 units upward from the vertex (-2, -8).

Substituting x = -6 and y = 2 into the equation for g(x), we get:

2 = a(-6 - 2)² - 8

Simplifying and solving for a, we get:

a = 1/8

Therefore, the function rule for g(x) is:

g(x) = (1/8)(x - 2)² - 8

Written in the form a(x - h)² + k, where a = 1/8, h = 2, and k = -8.

Answer:  so, if l is the length of the arc, r is the radius of the circle and θ is the angle subtended at the centre, then; θ = l/r, where θ is in radians

Central angle, θ = (Arc length × 360º)/(2πr) degrees or Central angle, θ = Arc length/r radians, where r is the radius of the circle. The formula is Degrees = Radians × 180 / π and it can be used for both positive and negative values. The sector of a circle is a slice of a circle, bound by two radiuses and an arc of the circumference. We identify sectors of a circle using their central angle. The central angle is the angle between the two radiuses. Sectors with a central angle equal to 90° are called quadrants.

Answer:

To solve for n, we can multiply both sides of the equation by 10:

n/10 = 0.41

n = 10 x 0.41

n = 4.1

Therefore, n is approximately 4.1.

Step-by-step explanation:

As per the mention equation, the solutions in the interval [0, 2π) are calculated out to be x = π/4, 3π/4, 5π/4, 7π/4

We know that:

2 sin²(x) = 1

sin²(x) = 1/2

Taking the square root of both sides, we get:

sin(x) = ±√(1/2)

So, either:

sin(x) = √(1/2) = 1/√2

or

sin(x) = -√(1/2) = -1/√2

To find the solutions in the interval [0, 2π), we need to look for the values of x that satisfy each of these equations.

For the first equation, sin(x) = 1/√2, we know that this is true for x = π/4 or x = 7π/4, since sin(π/4) = sin(7π/4) = 1/√2.

For the second equation, sin(x) = -1/√2, we know that this is true for x = 3π/4 or x = 5π/4, since sin(3π/4) = sin(5π/4) = -1/√2.

Therefore, the solutions in the interval [0, 2π) are:

x = π/4, 3π/4, 5π/4, 7π/4

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The percentage of the class that are 13 years old can be found to be 43.75%

We have,

Number of 13 year olds = 21

Number of 15 year olds = 27

So, Total students

= Number of 13 year olds + Number of 15 year olds

= 21 + 27

= 48 students

and, the percentage of students who are aged 13 is

= 21 / 48 x 100 %

= 0. 4375 x 100 %

= 43. 75 %

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In case of three friends decide to go out to eat, and then go shopping there are 20 possibilities are there for their big night out.

The problem is asking for the total number of possibilities when three friends decide to go out to eat and then go shopping. Since they can only pick one restaurant and one store, we can use the multiplication principle to determine the total number of possibilities.

There are 5 options for the restaurant and 4 options for the store, so the total number of possibilities is 5 x 4 = 20. Therefore, there are 20 different combinations of restaurant and store that the three friends can choose from for their big night out.

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Answer:

C) -2

Step-by-step explanation:

Slope: The slope of the line is the m in the equation for the line:

[tex]y=mx+b[/tex]

To find the slope of a line, we use the formula:

[tex]\frac{rise}{run}[/tex]

The rise being units up or down, and the run being units left and right from 1 solid point to another.

In this case, let's use the 2 points (-1,4) and (0,2)

The rise from the first point to the second point is -2 units down, and the run is 1 unit right.

Meaning, once we substitute:

[tex]\frac{-2}{1} \\=-2[/tex]

The slope of this line is -2.

Hope this helps :)

The square feet of fabric of the portions in the red and blue portions is 10.05 square feet

The missing figure is added as an attachment

We start by calculating the areas of the portions

The red and blue portions form a trapezoid

So, the area is

Red and blue portions = 2 * 1/2 * (2.2 + 4.5) * 1.5  = 10.05

Hence, the red and blue portions is 10.05 square feet

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The frequency of measurements that lie between -2 and 2 in a set of standardized data is option (a) approximately 95%.

If a set of data has been standardized, it means that it has been transformed to have a mean of 0 and a standard deviation of 1.

In a standard normal distribution, approximately 95% of the measurements fall within 2 standard deviations of the mean (i.e., between -2 and 2). This is known as the 95% confidence interval.

Therefore, given that the data has been standardized, we can say that approximately 95% of the measurements lie between -2 and 2.

Therefore, the correct option is (a) approximately 95%.

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The given question is incomplete, the complete question is:

Suppose that you have a set of data that has been standardized. Given only this information, and being as precise as possible, how frequent would you say are measurements that lie between-2 and 2? a) approximately 95% b) approximately 99.7% c)  at least 75%  d) at least 88.8% e) at most 100%

Answer:

To find the amount of material needed to make the container, we need to calculate its lateral surface area.

The lateral surface area of a cylinder is given by the formula:

Lateral surface area = height x circumference

where circumference = 2 x pi x radius

In this case, the height is 7.5 inches and the radius is 4 inches.

Circumference = 2 x pi x radius = 2 x 3.14 x 4 = 25.12 inches

Lateral surface area = height x circumference = 7.5 x 25.12 = 188.4 square inches

Therefore, the amount of material needed to make the container is 188.40 in². Answer: A.

Answer:

1. 2-way frequency table goes with the 1st one  

2. Marginal frequency goes with the 4th one  

3. joint frequency goes with the 3rd one

4. conditional frequency goes with the 2nd one

Answer:

Step-by-step explanation:

48 over 12 = 4 is the answer

The range of customers that served on the middle 50 percent of days are from 2994 to 3514 customers, under the condition that mean of 3,250 customers and a standard deviation of 320.

Here,
The middle 50% of days means that we are observing for the range of values that comprise the middle 50%  the data.

In order o find  range, we have to find the z-scores that correspond to the 25th and 75th percentiles and then change these z-scores back to raw scores using the formula
z = (x - μ) / σ
here x = raw score,
μ = mean,
σ = standard deviation

The z-score concerning to the 25th percentile is -0.6745 and the z-score concerning  the 75th percentile is +0.6745.
Using these z-scores and the formula, we evaluate  the raw scores that concerning  the percentiles
z = (x - μ) / σ
-0.6745 = (x - 3250) / 320
x = 2994
z = (x - μ) / σ
+0.6745 = (x - 3250) / 320
x = 3514

The range of customers that served on the middle 50 percent of days are from 2994 to 3514 customers.

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Answer: D

Step-by-step explanation:

The left side of a stem-leaf plot is the first part of the number and the right sides are the leaves.  so list of numbers for city 1 is:

8, 11, 15, 17, 18, 23, 32, 35, 40, 54, 58, 59

median is the middle number and range is if you subracted the first and last numbers.

A. is out The medians are not the same

B. is out The median for City 2 is greater

C. is out. The ranges are not the same

D. is correct.  Range for city 1 is: 59-8=51  Range for city 2 is: 61-31=30

Answer:

Its the second one

Step-by-step explanation:

its the second one. i looked it up.

Answer:

Step-by-step explanation:

it is the first one because linear is that is related to a line or in order the input is fine going by one’s but the output is not so the output has a problem and it’s not linear so it’s the first option.

If the tax had been levied on producers instead of consumers, the effect on the quantity sold would have been smaller is True. The amount of tax on a case of cider is $4. Of this amount, the burden that falls on consumers is $3 per case, and the burden that falls on producers is $1 per case.

This is because producers would have had to bear the full burden of the tax, reducing their incentive to produce and sell cider. To calculate the tax burden on consumers, we can subtract the price per case before the tax ($11) from the price after the tax ($15), which equals $4. Then, we subtract the amount of the tax that falls on producers ($1) to get the amount of the tax burden on consumers ($3).

To calculate the tax burden on producers, we can subtract the amount they receive per case after the tax ($9) from the price per case before the tax ($11), which equals $2. This $2 is split between the producers and the government, with the producers bearing $1 of the burden.

This could result in a decrease in the supply of cider, leading to higher prices and less demand from consumers. By taxing consumers instead, the government can still collect revenue from the tax while minimizing the impact on the supply and demand of cider in the market.

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Alex's house is due west of Lexington and due south of Norwood. using Pythagorean theorem, the Norwood is 10 miles from Alex's house, measured in a straight line.

The Pythagorean theorem is a fundamental concept in mathematics that relates to the sides of a right triangle.

It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

We can use the Pythagorean theorem to solve this problem.

Let x represents the distance we want to find.

Using the Pythagorean theorem, we can write:

[tex]x^2 = 6^2 + 8^2\\x^2 = 36 + 64\\x^2 = 100[/tex]

x = sqrt(100)

x = 10

Therefore, Norwood is 10 miles from Alex's house, measured in a straight line.

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Answer:

The car came to a complete stop during segment C to D, because the distance did not change over time.

The car traveled back toward its starting position during segment D to E, because the distance decreased over time.

The car traveled the fastest during segment B to C, because the slope of the graph was the steepest.

The car traveled at an average speed of 12 km/hr during segment A to B, because the slope of the graph was 12 km/hr.

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

To find how many 18-inch pieces of ribbon there are in 1620 inches, simply divide 1620 by 18.

1620/18 = 90

For the original question, we know that each roll of ribbon is 9 feet long. To convert to inches, multiply 9 by 12.

9*12 = 108

Now, to find how many 18-inch pieces of ribbon there are in 108 inches,  divide 108 by 18.

108/18 = 6

Since we have 15 rolls of ribbon, multiply 6 by 15.

6*15 = 90

∴ The dressmaker can cut ninety 18-inch pieces from 15 rolls or ribbon.

La fuerza con la que es lanzada una pelota de béisbol puede calcularse utilizando la segunda ley de Newton, que establece que la fuerza (F) es igual a la masa (m) multiplicada por la aceleración (a). En este caso, la masa de la pelota es de 0.126 kilogramos y la aceleración es de 3 m/s.

Aplicando la fórmula, la fuerza (F) se calcula de la siguiente manera:

F = m * a

F = 0.126 kg * 3 m/s

F = 0.378 N

Por lo tanto, la fuerza con la que se lanza la pelota de béisbol es de aproximadamente 0.378 Newtons.

Es importante tener en cuenta que este cálculo asume que la aceleración proporcionada es constante y que no hay otras fuerzas que actúen sobre la pelota durante el lanzamiento, como la resistencia del aire. Estas consideraciones pueden afectar la fuerza real experimentada por la pelota en un escenario práctico.

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Build-borrow-or-buy.

The build-borrow-or-buy framework is a conceptual model used by strategists to help them decide whether to build capabilities internally, borrow them through partnerships and alliances, or buy them through mergers and acquisitions. The framework helps organizations identify the most efficient and effective way to acquire the resources, capabilities, and competencies they need to achieve their strategic goals. It is a useful tool for decision-making when considering growth strategies, and can help managers evaluate the costs, risks, and benefits of each option.

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(a) build-borrow-or-buy. This framework helps strategists decide whether to pursue internal development, enter into an alliance, or acquire new resources, capabilities, and competencies.

the build-borrow-or-buy framework suggests that companies have three options when it comes to acquiring new resources and capabilities. First, they can build or develop these resources and capabilities internally through investments in research and development or employee training. Second, they can borrow or enter into strategic alliances with other companies to gain access to new resources and capabilities. Finally, they can buy or acquire companies that already possess the desired resources and capabilities.

the build-borrow-or-buy framework provides a structured approach for companies to evaluate their options when it comes to acquiring new resources and capabilities. By considering the pros and cons of each option, companies can make more informed decisions that align with their strategic goals and objectives.


The build-borrow-or-buy framework is a conceptual model that helps strategists decide whether to seek internal development (build), enter into an alliance (borrow), or acquire new resources, capabilities, and competencies (buy). This model assists organizations in evaluating their options for growth and resource allocation based on their strategic goals and objectives.

the build-borrow-or-buy framework is a valuable tool for strategists when choosing between internal development, alliances, or acquisitions to achieve their organization's growth and resource needs.

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Answer:

The answer is B. 39.0

Step-by-step explanation:

To find the average we add all the numbers then divide it by the total amount of numbers

= 23 + 33 + 33 + 27 +25 + 68 + 27 + 44 + 72/9

= 352/9

= 39.111111111

Round it of to the nearest tenth

= 39.0

The probability that the card that Olga turns over has a rose on it would be 4/5.

Since, Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Given that;

There are 5 cards with a picture of a rose and 1 card with a picture of a daisy.

Olga keeps all the cards face down on the table with the pictures hidden and mixes them up.

Then , Total number of cars after Olga removed one rose card from the table is,

4 rose cards + 1 Daisy card

= 5

Therefore, the probability divide the number of rose cards left by the total number of cards left is,

= 4/5

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Answer:

The half-life of carbon-14 is 5,730 years. This means that every 5,730 years, half of the carbon-14 in a sample will decay. So, if a sample contains 32% of its original amount of carbon-14, it is about 2 * 5,730 = 11,460 years old.

However, it is essential to note that radiocarbon dating is not an exact science. There is a margin of error of about 20 years. So, the skull's actual age could be between 11,260 and 11,660 years old.

Here is a formula that can be used to calculate the age of a sample using radiocarbon dating:

```

Age = (5,730 * ln(A/Ao)) / ln(2)

```

Where:

* Age is the age of the sample in years

* A is the amount of carbon-14 in the sample

* Ao is the original amount of carbon-14 in the sample

* ln is the natural logarithm function

In this case, A = 0.32 and Ao = 1.0. So, the age of the skull is:

```

Age = (5,730 * ln(0.32) / ln(2)) = 11,460 years

```

Step-by-step explanation:

Answer:

4535 years.

Step-by-step explanation:

The formula used to calculate the age of a sample by carbon-14 dating is3:

t=−0.693ln(N0​Nf​​)​×t1/2​

where:

t is the age of the sample

Nf is the number of carbon-14 atoms in the sample after time t

N0 is the number of carbon-14 atoms in the original sample

t1/2 is the half-life of carbon-14 (5730 years)

In your case, the skull contains 32% of its original amount of carbon-14, which means that Nf/N0 = 0.32. You can plug in this value and the half-life into the formula and get:

t=−0.693ln(10.32​)​×5730

Using a calculator, you can simplify this expression and get:

t=−1.139×−0.693×5730

t=4534.7

The mean of this data set is ³/₅ inches as a fraction in simple form.

The mean refers to the average of the data set.

The average can be determined as the quotient of the total data value divided by the number of items in the data set.

The length of the first piece of ribbon = ¹/₄ inches

The length of the second piece of ribbon = 1¹/₃ inches

The length of the third piece of ribbon = ²/₃ inches

The length of the fourth piece of ribbon = ¹/₄ inches

The length of the fifth piece of ribbon = ¹/₂ inches

The total length of the five pieces of ribbon = 3 inches

The mean = ³/₅ inches (3 ÷ 5)

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