The area of the front side of the toy building is 1 square foot. The real building's
front side has an area of 400 square feet. If we view the real building as a dilation of the toy, what is the scale factor

Answer: 10

10 THE ANSWER

Step-by-step explanation:

Using the given information in the diagram, we have proven that sin(B)/b = sin(C)/c

From the question, we are to prove that sin(B)/b=sin(C)/c

Consider the right triangle with sides a, c, and h

Using SOH CAH TOA, we can write that

sin(B) = h/c

∴ h = c × sin(B) --------- (1)

Also,

Consider the other right triangle

Using SOH CAH TOA, we can write that

sin(C) = h/b

∴ h = b × sin(C) ---------- (2)

Equate equations (1) and (2)

That is,

c × sin(B) = b × sin(C)

This can then be expressed as

sin(B)/b = sin(C)/c

Hence, the given expression is proven as shown above

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Given the function below:  

\(f(x)=\frac{4}{x^3}$$\)

Therefore, the critical point is x = 0.

To find (a), we need to calculate f(a), so let us plug a in the equation:

f(a) = \(\frac{4}{a^3}$$\)

To find (b), we need to find the partition of the function.

We can partition f(x) by partitioning the domain.

We can choose the domain [1, 2] to partition the function.

We use the midpoint rule here to find the partitions.

Then:

\(1$$\to \frac{3}{2}$$ $$\frac{3}{2} \to 2$$\)

2 partitions the interval into 2 equally spaced sub-intervals.

The partition is given as {1, 2}.

To find (c), we need to find the critical points of f(x).

A critical point is a point where either f(x) is undefined or the derivative of f(x) is zero.

If we take the derivative of f(x), we get:  

\(f'(x)= -\frac{12}{x^4}$$f(x)\) is not undefined,

so we must set the derivative of f(x) equal to zero and solve for x.  

\($$f'(x) = 0$$\)

\(-\frac{12}{x^4} = 0\)

\($$$$\implies x = 0$$\)

Therefore, the critical point is x = 0.

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Answer:        We need to convert both units to a common unit to compare them.

1 yard is equal to 36 inches, so 2 yards is equal to:

2 yards = 2 × 36 inches = 72 inches

So we have:

212 inches > 72 inches

Therefore, 212 inches is greater than 2 yards.

Step-by-step explanation:

Answer:

only D as the correct answer

Step-by-step explanation:

The correct quadratic could not be B or C, because the negative sign in each indicates that the parabola opens down, which is not what we see here.

A is not appropriate either, because of the (x + 2)^2; that + sign tells us that the vertex lies 2 units to the left of the y-axis.

This leaves only D as the correct answer.

\(f(x) = \cos^2 x \\\\f'(x) = 2 \cos x ( - \sin x) = - 2 \cos x \sin x = -\sin 2x\\\\f''(x) = -2\cos 2x\\\\\text{The second derivative of}~ \cos^2 x ~ \text{is}~ -2 \cos 2 x\)

Answer:

B,C,E

Step-by-step explanation:

khan academy

Side length of the scaled copy of square is smaller than original.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Given,

Scale factor of scaled copy of square is less than 1.

Scale factor basically defines the ratio between the sides of the constructed square to that of the original square.

if scale factor is less than 1 then the sides of the constructed square is smaller than that of the original square.

Hence, side length of constructed square is smaller than the original square.

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Answer:

1. x=a+b

2.k=-1/3m

3.b=1/2d+9/2

4.???

5.y=3h

6.-5/7+3/7d

7.5-7/2a

8.1/5w-4x

Step-by-step explanation:

hope this helps

Answer:

the percentage change on the drone is 42.86%

Step-by-step explanation:

The computation of the percentage change is shown below:

Since the helicopter was sold for $179.99

But amazon would be selling it for $125.99

So, the percentage change would be

= (Sale value -  sale value by amazon) ÷ ( sale value by amazon) × 100

= ($179.99 - $125.99) ÷ ($125.99) × 100

= 42.86%

Hence, the percentage change on the drone is 42.86%

The decision-maker is willing to pay a risk premium of $250 to eliminate the risk of lottery p', and a risk premium of $500 to eliminate the risk of lottery p?. Therefore, the decision-maker prefers lottery p?.

The decision-maker's utility function suggests that they have a logarithmic utility index, v(r) = In(2). To calculate the risk premia, we compare the expected utilities of the lotteries. For lottery p', the expected utility is E[v(p')] = (1/2) * v(-1000) + (1/2) * v(0) = (1/2) * In(2) + (1/2) * In(2) = In(2). For lottery p?, the expected utility is E[v(p?)] = v(-500) = In(2). Since both lotteries have the same expected utility, the decision-maker is indifferent between them in terms of expected utility.

However, the decision-maker is risk-averse, which means they prefer to eliminate risk when possible. To eliminate the risk of lottery p', the decision-maker is willing to pay a risk premium of $250 (which is half the difference between the potential losses of $1000 and $0). On the other hand, to eliminate the risk of lottery p?, the decision-maker is willing to pay a risk premium of $500 (the full potential loss amount).

Therefore, the decision-maker prefers lottery p? as they are willing to pay a higher risk premium to eliminate its risk.

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Answer:

San Francisco with average speed of 639 km/hour

Step-by-step explanation:

Phoenix 3 1,689

Minot 2 913

San Francisco 4 2,556

Phoenix average speed = distance travelled / time taken

= 1,689 km /3 hours

= 563 km/hour

Minot average speed = distance travelled / time taken

= 913 km / 2 hours

= 456.5 km/hour

San Francisco average speed = distance travelled / time taken

= 2,556 km / 4 hours

= 639 km/hour

The fastest average speed flight is San Francisco with an average speed of 639 km/hour

Answer:

San Francisco with average speed of 639 km/hour

Step-by-step explanation:

If he has 3 gallons of juice ad we want to pour equal amount in 5 juices we have to divide 5 into 5

So he has to pour 0.6 gallons of juice in each glass

Answer:

price = $785

tax = 7% × $785

= $54.95

cost to purchase = normal price + tax

= $785 + $54.95

= $839.95

Answer:

price = $785

tax = 7% × $785

= $54.95

cost to purchase = normal price + tax

= $785 + $54.95

= $839.95

The value of RS is 21.57

Trigonometric ratios are used to calculate the measures of one (or both) of the acute angles in a right triangle, if you know the lengths of two sides of the triangle.

sin(θ) = opp/hyp

cos(θ) = adj/hyp

tan(θ) = opp/adj

The side facing the acute angle is the opposite and the longest side is the hypotenuse.

therefore, adj is 22 and RS is the hypotenuse.

Therefore;

cos(θ) = 20/x

cos 22 = 20/x

0.927 = 20/x

x = 20/0.927

x = 21.57

Therefore the value of RS is 21.57

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Answer:

127°

Step-by-step explanation:

180=53+x

127=x

A straight line is 180°

I hope this helps!

pls ❤ and mark brainliest pls!

The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11

An equation is an expression that shows the relationship between two or more numbers and variables.

a) 23 + (-16) + 42 * 5 - (-3)

= 23 - 16 + 210 + 3 = 220

b) -6(12 - 15) + 23

= -6(-3) + 23 = 18 + 23

= 41

c) -50 + (-10) + (5 - 3)4

= -50 - 10 + 2(4) = -50 - 10 + 8

= -52

d) -4.5 (-0.53) + (-1)

= 2.385 - 1

= 1.385

e) 5 - 2 + 8

= 3 + 8

= 11

The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11

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Answer:

\(9a^{4} b^{12}\)

(or)

9a^4b^12

Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.

A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.

The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.

By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.

Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.

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The New Deal program, implemented in the United States during the 1930s, had both positive and negative environmental impacts.

The New Deal program, led by President Franklin D. Roosevelt, included various initiatives to address the economic and social challenges of the Great Depression. In terms of environmental impact, the program had positive aspects. It established agencies like the Civilian Conservation Corps (CCC) and the Soil Conservation Service (now known as the Natural Resources Conservation Service), which focused on conservation efforts. The CCC, for instance, planted trees, built trails, and fought wildfires, contributing to forest preservation and land rehabilitation.

However, some aspects of the New Deal had unintended negative consequences for the environment. The program included large-scale infrastructure projects, such as the construction of dams and roads, which aimed to stimulate economic growth and provide jobs. While these projects brought economic benefits, they also led to ecological disruptions. Dams, for example, altered river ecosystems, impacting fish populations and habitats. Furthermore, the emphasis on industrial and agricultural development sometimes overlooked environmental concerns, leading to unsustainable practices that had long-term environmental effects.

Overall, while the New Deal program had positive intentions in terms of environmental conservation, the full extent of its impact was a mixture of positive and negative outcomes. It laid the foundation for future environmental policies and increased public awareness about the importance of conservation, but some of its infrastructure projects had unintended environmental consequences that had to be addressed in subsequent years.

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Answer:

65%

Step-by-step explanation:

120 * x = 78

78/120 = x

.65 = x

Answer:

35%

Step-by-step explanation:

First, set up the equation.

Then solve.

78-120 is -42.

Divide by 120. -0.35.

Multiply by 100. -35.

The negative sign means that it is decreasing, so you can take it away.

I hope this helps!

Answer:

Step-by-step explanation:

224-146=78

To find the x-coordinate of the point where the line l intersects the plane x - 3y - z = 9, we need to find the value of x when the coordinates (x, y, z) satisfy both the equation of the line and the equation of the plane.

Since the line l is parallel to the line with vector equation r(t) = 〈2, 4, 1〉 + t〈2, 3, -2〉, we can write the equation of line l as:

x = 2 + 2t

y = 4 + 3t

z = 1 - 2t

Substituting these equations into the plane equation x - 3y - z = 9, we have:

(2 + 2t) - 3(4 + 3t) - (1 - 2t) = 9

Simplifying the equation, we solve for t:

2 + 2t - 12 - 9t - 1 + 2t = 9

-5t - 11 = 9

-5t = 20

t = -4

Substituting t = -4 into the equation x = 2 + 2t, we find:

x = 2 + 2(-4) = -6

Therefore, the x-coordinate of the point where the line l intersects the plane is -6.

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a) Part A: The perceived image of Jet Airways

Jet Airways is one of the well-known airlines in India. It is headquartered in Mumbai and operates both domestic and international flights. The perceived image of Jet Airways in the minds of its customers is important to the success of the airline. Perceived image refers to what the customers think about the airline, and this is important for customer loyalty and retention.

Constructing a seven-item and semantic differential scale to measure the perceived image of Jet Airways would be as follows:

1. Reliability: how reliable is Jet Airways on a scale of 1 to 7 (with 1 being extremely unreliable and 7 being extremely reliable)

2. Responsiveness: how responsive is Jet Airways to the needs of its customers on a scale of 1 to 7 (with 1 being extremely unresponsive and 7 being extremely responsive)

3. Empathy: how empathetic is Jet Airways to the concerns of its customers on a scale of 1 to 7 (with 1 being extremely unempathetic and 7 being extremely empathetic)

4. Assurance: how assured do you feel when you travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely unassured and 7 being extremely assured)

5. Tangibles: how do you rate the physical appearance of Jet Airways on a scale of 1 to 7 (with 1 being extremely poor and 7 being extremely good)

6. Price: how do you rate the price of Jet Airways on a scale of 1 to 7 (with 1 being extremely expensive and 7 being extremely affordable)

7. Convenience: how convenient is it to travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely inconvenient and 7 being extremely convenient)

The above semantic differential scale helps in measuring the perceived image of Jet Airways. The seven-item and semantic differential scale ensure that the seven under each format correspond to the same seven dimensions.

By answering each question, the customers can rate Jet Airways on various factors, and the airline can use this feedback to improve its service and overall image.

b) Part B:

Examination of a technical and business report

The structure of a technical and business report includes a title page, abstract, table of contents, introduction, main body, conclusion, and references. An examination of a technical and business report from the internet reveals some deviations from the stated structure. One of the significant deviations is the absence of the abstract section. The abstract provides a brief summary of the report, including the purpose, methodology, and findings. The report from the internet did not have an abstract section, and this deviation could be due to the report being a short summary of a more extensive study.

The report from the internet did not have a separate conclusion section. The conclusion is important as it summarizes the findings of the study and provides recommendations for further research. The report from the internet integrated the findings and recommendations into the main body of the report, and this deviation could be due to the length of the report.

Another deviation is the lack of a reference section. The reference section is essential as it provides the sources used in the study. The report from the internet did not have a reference section, and this deviation could be due to the type of report and the fact that it was not a formal research report.

In conclusion, technical and business reports should follow a specific structure to ensure that they are clear, concise, and easily understood. Deviations from the stated structure can affect the quality and accuracy of the report. The deviations in the report from the internet could be due to the length, type, and purpose of the report.

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Answer:7.69 miles hope it helps :)

Step-by-step explanation:

Based on the time that Brian took to ride and the average speed, Brian biked a distance of 17.69 miles

Brian biked for a total of 1.45 hours and was able to ride at an average speed of 12.2 miles per hour.

When you have both the time and speed, the distance can be found as:

= Speed x time

Solving for the number of miles Brian biked gives:

= 12.2 x 1.45

= 17.69 miles

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a) The Odds of  pulling a red ball from the first bag is; 12.2%

b) The Odds of  pulling a red ball from the second bag = 10/85 = 0.1176 = 11.76%

We are given;

Number of white balls in first bag = 52

Number of green balls in first bag = 27

Number of red balls in first bag = 11

Total number of balls in first bag = 52 + 27 + 11 = 90 balls

Number of white balls in second bag = 25

Number of green balls in second bag = 25

Number of red balls in second bag = 10

Number of yellow balls in second bag = 25

Total number of balls in second bag = 25 + 25 + 10 + 25 = 85 balls

a) Odds(probability) of  pulling a red ball from the first bag = 11/90 = 0.122 = 12.2%

b) Odds(probability) of  pulling a red ball from the second bag = 10/85 = 0.1176 = 11.76%

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Answer:

Step-by-step explanation:

i think its the third one..

The variable P0 represents the initial amount.

In the exponential growth model, P(t) represents the population at time t, P0 represents the initial population at time t=0, k represents the growth rate, and e is the mathematical constant, approximately equal to 2.71828. Therefore, P0 represents the initial amount or the starting point of the population.

The correct answer is B, the variable P0 represents the initial amount.

B. The variable P0 represents the initial amount.

In the exponential growth model P(t) = P0 * e^(kt), the variables are defined as follows:
- P(t): The population size at time 't'
- P0: The initial population size (i.e., the population size at the beginning, when t=0)
- e: The base of the natural logarithm (approximately 2.71828)
- k: The growth rate constant
- t: Time

In this model, P0 is the population size at the beginning of the observed period (when t=0). Therefore, it represents the initial amount.


The variable P0 in the exponential growth model P(t) = P0 * e^(kt) represents the initial amount of the population or quantity being studied.

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We cannot prove that the quadrilateral is a parallelogram with only the given information that AB = DC.

What is quadrilateral and parallelogram ?

A quadrilateral is a four-sided polygon, which means it is a closed shape with four straight sides. Some examples of quadrilaterals include rectangles, squares, trapezoids, and rhombuses.

A parallelogram is a special type of quadrilateral where both pairs of opposite sides are parallel. This means that the opposite sides never intersect, and they have the same slope. Additionally, the opposite sides of a parallelogram are congruent (i.e., have the same length), and the opposite angles are also congruent. Some examples of parallelograms include rectangles, squares, and rhombuses.

To prove that a quadrilateral is a parallelogram, we need to show that both pairs of opposite sides are parallel. Knowing that AB = DC only gives us information about the lengths of the sides, but it doesn't tell us anything about their orientation or whether they are parallel.

We would need additional information, such as the measures of angles or the lengths of other sides, to determine whether the quadrilateral is a parallelogram.

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The correct statement is: double d = 123456789

In the given statements:

1. int i = 3.0; - This is incorrect because a decimal value (3.0) cannot be assigned directly to an integer variable. It should be assigned to a floating-point type variable instead.

2. float f = 4.5; - This is correct as a floating-point value (4.5) can be assigned to a float variable.

3. byte b = 123456789; - This is incorrect because the value 123456789 is outside the range of a byte (-128 to 127). It should be assigned to a data type with a larger range, such as into or long.

4. double d = 123456789; - This is correct as the value 123456789 can be assigned to a double variable.

5. boolean b = 1; - This is incorrect because the value 1 cannot be directly assigned to a boolean variable. It should be assigned with either true or false.

Among the given statements, the correct one is "double d = 123456789;", as it assigns the value 123456789 to a double variable.

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Answer:

We know he bought 3 CDs and he paid 49.50 dollars, which the tax included. Now, we can calculate how much did he pay for each CD by dividing the total cost (49.50) by the number of CDs (3):

49.50/3 = 16.50

Now, we know each CD costs 16.50 with tax included so, if it has a tax of1.10 dollars, we only need to substract the price (16.50) and the tax (1.10)

16.50 - 1.10 = 15.40

Without tax, ech CD costs 15.4 dollars ($15.4)

Answer:

The price before sale tax is  $15.40

Step-by-step explanation:

$1.10 × 3 = $3.30

$49.50 - $3.30 = $46.20

$46.20 ÷ 3 = $15.40