Write the equation if your function is reflected
upside down, the 7 units to the left, and 10 units down.

Answer:

I don't know what the question is, but 7.5 miles in 1/4 hour is equal to 30 mph.

Answer:

Step-by-step explanation:

-5

Given

Find

Horizontal Asymptotes

Explanation

As we know that there is two possible cases in arational function for there to be a horizontal asymptotes.

both depend on the higher degree of numerator and denominator.

1, if degree of denominator is equal to degree of numerator then there will be a horizontal asymptote at the ratio between the coefficients of the highest degree of the function.

2. if degree of denominator is lower to degree of numerator then there will be a horizontal asymptote at the y=0

here in given function degree of denominator is less than degree of numerator , so horizontal asymptote at y=0

Final Answer

horizontal asymptote at y=0

Answer:

Radius: 12 inches

Height: 30 inches

Diameter: 24 inches

Step-by-step explanation:

Radius: 12 inches

Height: 30 inches

Diameter: 24 inches

Answer:

120 in²

Step-by-step explanation:

Please see the attached pictures for the full solution.

9514 1404 393

Answer:

  A. no

  B. no

  C. obtuse

Step-by-step explanation:

For side lengths to form a triangle, the sum of the shorter two must exceed the longest.

A. 5 + 8 = 13 . . . . a line segment, not a triangle

B. 7 + 12 < 26 . . . . no closure, not a triangle

C. 11 + 15 > 20 . . . . a triangle. A picture shows it to be obtuse

  You can also compare 11² +15² vs 20² ⇒ 346 vs 400. The long side is too long for a right triangle, so the triangle must be obtuse. (The Pythagorean theorem tells you a right triangle with those legs would have a long side of √346 = 18.6.)

Heidi must drag stones into the box and place them end-to-end to create a path that is between 8 and 8.5 feet long in order to create a stone path that meets Heidi's requirements.

She can begin by counting the number of stones she must drag into the box by measuring the length of the path. She can drag the required number of stones into the box and arrange them end-to-end to construct a path of the appropriate length. In order to ensure that the stones fit together correctly and form a stable path, she may need to arrange them in a particular pattern or layout.

In addition, in order to guarantee that the stones remain in place and do not shift or move over time, she may need to incorporate some kind of stabilizing material, such as gravel or sand.

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Answer:

Option (D)

Step-by-step explanation:

Domain is a defined by the of x-values of the graph of a function.

Similarly, Range is defined by the y-values.

From the graph attached,

Domain of the graphed function: (-∞, ∞)

Range of the function: (0, ∞)

Therefore, domain is the set of all real numbers and range of the function is the set of all real numbers greater than zero.

Option (D) will be the correct option.

Answer: 124 degrees

========================================================

Explanation:

If we assume these two things:

Then this would allow us to say that angle EJF = angle FHG because they are corresponding angles.

So that means angle FHG = 56

This then leads to:

angle FHK = 180 - (angle FHG) = 180 - 56 = 124 degrees

The probability that less than 2 of the 5 are 65 years or older is 70.32%

To calculate the probability that less than 2 out of 5 randomly selected persons from the population of Arizona are 65 years or older, we need to calculate the probabilities of selecting 0 and 1 persons who are 65 years or older and then sum them.

The probability of selecting 0 persons who are 65 years or older can be calculated using the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of selecting k persons who are 65 years or older,

C(n, k) is the number of combinations of selecting k items from a set of n items,

p is the probability of selecting a person who is 65 years or older,

(1 - p) is the probability of selecting a person who is not 65 years or older,

n is the total number of trials (sample size).

Using this formula, we can calculate the probability of selecting 0 persons who are 65 years or older:

P(X = 0) = C(5, 0) * 0.14^0 * (1 - 0.14)^(5 - 0)

Similarly, we can calculate the probability of selecting 1 person who is 65 years or older:

P(X = 1) = C(5, 1) * 0.14^1 * (1 - 0.14)^(5 - 1)

Finally, we can sum these probabilities to get the probability of less than 2 persons who are 65 years or older:

P(X < 2) = P(X = 0) + P(X = 1)

Calculating these probabilities:

P(X = 0) = C(5, 0) * 0.14^0 * (1 - 0.14)^(5 - 0) = 1 * 1 * 0.86^5 = 0.2968 (approximately)

P(X = 1) = C(5, 1) * 0.14^1 * (1 - 0.14)^(5 - 1) = 5 * 0.14 * 0.86^4 = 0.4064 (approximately)

P(X < 2) = P(X = 0) + P(X = 1) = 0.2968 + 0.4064 = 0.7032 (approximately)

Therefore, the probability that less than 2 out of 5 randomly selected persons from the population of Arizona are 65 years or older is approximately 0.7032 or 70.32%.

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The principal amount calculated as from the given data was fount out to be $895.

The formula to calculate interest rate is ,

Interest = Principal x Rate x Time which can also be written as,

I=PRT

therefore to find principal,

P= I/(RT)

P= 150.36/( 1.4% x 12)

P= 150.36/ (21/125)

P= 895

Principal amount is the amount which one invests on something for a given period of time at a fixed rate . The amount which the person receives is known as the profit.

In finance interest is the payment of an amount other than the repayment of the principal sum by a borrower or deposit-taking financial institution to a lender or depositor at a specific rate by a borrower or deposit-taking financial institution.

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Answer:

x = 3

Step-by-step explanation:

6 + 8x

---------  =  5x

   2

6 + 8x

---------  =  5x (2)

   2 (2)

6 + 8x = 10x

   -8x      -8x

------------------

6 = 2x

÷2  ÷2

-----------

3 = x

I hope this helps!

Answer:

7m-8

Step-by-step explanation:

8 less means to subtract.

Product of 7 and m means to multiply.

You always do multiplication before subtraction (PEMDAS).

The density in ounces per liter is 3.57826 rounding off = 3.58

Density of a substance can be defined as a relationship between the mass and the volume of that substance.

\(Density=\frac{Mass}{Volume}\)

For Example if a metal have a mass 0f 7gm and volume as \(5cm^{3}\)

\(Density=\frac{7}{5} = 1.4g/cm^{3}\)

we know that 1 gram/fluid ounce of volume = 1.19275 ounces/liter

1 gm/fluid ounce =1.19275 ounces/liter

3 gm/fluid ounce = 3*1.19275 ounces/liter

So 3 gm/fluid ounce = 3.57826 ounces/liter

On rounding it to nearest hundredth we get 3.58 ounces/liter

Therefore the density of the material which weighs 3 gm/fluid ounce in ounces/liter is 3.58.

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Regression analysis is a statistical method that is used to model the relationship between a dependent variable (the response) and one or more independent variables (the predictors).

In the case of car sales data, a regression model can be developed to predict the selling price of a car based on horsepower and manufacture year, incorporating an interaction term.

The predicted price for a car manufactured in either 2002 or 2003 with a horsepower of 69 can be determined by plugging the values into the regression model.

The interaction term in the model allows for the effect of the interaction between horsepower and manufacture year on the selling price to be captured.

The prediction can then be compared to the overall average price in each year to determine if the prediction deviates from the average.

If the prediction is higher than the average, it could indicate that the car is in high demand or has other desirable features that make it more valuable.

On the other hand, if the prediction is lower than the average, it could indicate that the car is less desirable due to factors such as age or low horsepower.

The comparison between the prediction and the overall average price in each year can provide valuable information about the car's value and its potential to sell at a higher price.

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The narrator suggests that she now lives her life by striving to find optimism in even the worst circumstances when she adds, "I too have planted marigolds," at the conclusion of the story.

Because the narrator characterized the marigolds in the story as "Dazzling strips of bright petals bunch together in gigantic mounds warm and passionate in sun golden," the narrator's description of and response to seeing the marigolds is rather favorable.

The ability to comprehend and appreciate others as fully human beings serves as the story's central subject and marks the start of adulthood. Lizabeth felt ashamed when she realized she had wronged a genuine human being instead of a "witch" when she vented her anger at the marigolds and turned to look at Miss Lottie.

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Answer:

Angle DCE is a central angle so it's equal to the arc facing it, which is DE, which is given as 116. So angle DCE= 116°

Angle EDF is an angle between a tangent line, DF, and a secant line, DE. So its measure is equal to half of the arc it surrounds, which is arc DE. 116/2= 58°. Angle EDF=58°.

Answer: multiple of sum 2+5

Step-by-step explanation:

18/9=2

45/9=5

2+5=7

18+45=63

63/7=9

2+5

Answer:

13 1/12 ÷ 8 2/4 = 157/102 = 1

55/102≅ 1.5392157

Step-by-step explanation:

just look it up :)

Answer:

no

Step-by-step explanation:

no

Answer: x = -24

Step-by-step explanation:

1. (12) x/12 + (12) 1/3 = (12) -5/3 (multiply both sides of the equation by 12)

2. x + 4 = -20

3. x = -20 - 4 (move the constant to the right by subtracting 4 on both sides)

4. x = -20 - 4

5. x = -24 (add the numbers together)

The variety of nonrandom sampling that takes proportions into consideration is: c) quota

Quota sampling is the variety of nonrandom sampling that takes proportions into consideration. In quota sampling, the researcher selects a specific number of participants from each subgroup of the population based on their proportion in the overall population. This ensures that the sample represents the different subgroups in the population proportionately.

In quota sampling, the researcher selects participants based on specific characteristics or proportions to ensure that the sample represents the target population accurately. The researcher sets quotas for different groups or segments based on known proportions or desired representation in the population.

For example, if a population consists of 60% males and 40% females, a quota sample might be designed to include the same proportions of males and females. The researcher would continue to select participants from each group until the quotas are met.

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A nonlinear programming model differs from a linear programming model in several ways. One key difference is that nonlinear models have nonproportional relationships between activity levels and the overall measure of performance.

Additionally, nonlinear models may have multiple optimal solutions, while linear models typically only have one optimal solution. Nonlinear models may also have discontinuous objective functions or constraints, while linear models have continuous objective functions and constraints.

Nonlinear programming models are used when the relationship between variables is not linear. In a linear programming model, the objective function and constraints are linear, meaning that they have a constant rate of change.

However, in a nonlinear programming model, the objective function and constraints may have nonlinear relationships, which means that they do not have a constant rate of change. This can make it more difficult to optimize the model, as it may have multiple optimal solutions or discontinuous regions. Nonlinear programming models may use techniques such as gradient descent or Newton's method to find the optimal solution, while linear programming models typically use the simplex method. Overall, nonlinear programming models are more complex than linear programming models and require more advanced mathematical techniques to solve.

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The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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the ratio of flour to sugar is:

flour : sugar= 4 : 2 = 2 : 1

Answer:

2:1, 2 to 1, or 2/1

Step-by-step explanation:

Devide 4 and the two by two and it makes it 2:1

The probability that the student is a junior is 0.5.

The probability that the selected student takes calculus is given by:

P(C) = probability that the selected student takes calculus= probability of seniors taking calculus + probability of juniors taking calculus= 0.4 x 1/2 + 0.2 x 1/2= 0.2

Now,Let's find the probability that a calculus student selected is a junior.i.e., we need to find P(J|C).We know that,

P(J|C) = probability that the selected student is a junior given that the student takes calculus= P(C|J) × P(J) / P(C)

We already know,P(C) = 0.2

Also,P(C|J) = probability that a junior student takes calculus= 0.2

So,P(J|C) = probability that the selected student is a junior given that the student takes calculus= P(C|J) × P(J) / P(C)= 0.2 × 1/2 / 0.2= 1/2= 0.5

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In summary, the maximum design speed for the horizontal curve on the rural four-lane freeway, considering the superelevation rate and available side-friction, is approximately 60 miles per hour. This speed ensures safe and comfortable navigation through the curve.

Additionally, considering a horizontal sightline offset of 30 feet and the need for stopping sight distance, the maximum design speed for the curve is approximately 40 miles per hour.

To determine the maximum design speed for the curve, several factors need to be considered. The superelevation rate of 6.0 percent indicates the amount of banking provided to counteract the centrifugal force experienced by vehicles while negotiating the curve. With a central angle of 30.4 degrees, the curve is moderately sharp. Based on these parameters, the maximum design speed can be calculated using design criteria and equations specific to highway geometric design.

Furthermore, the horizontal sightline offset (HSO) of 30 feet comes into play when considering stopping sight distance. Stopping sight distance is the distance required for a driver to detect an obstruction ahead, make a decision to stop, and bring the vehicle to a complete halt. The HSO helps determine the appropriate design speed to ensure drivers have adequate visibility of potential obstructions on the inside of the curve.

In conclusion, the maximum design speed for the horizontal curve on the rural four-lane freeway, considering the superelevation rate and available side-friction, is approximately 60 miles per hour. However, when taking into account the horizontal sightline offset and the need for stopping sight distance, the maximum design speed is reduced to approximately 40 miles per hour to ensure safe and efficient travel through the curve.

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There are 6840 ways to choose a president, a vice-president, and a secretary from a committee of 20 members.

To choose a president, a vice-president, and a secretary from a committee of 20 members,

We will use the formula for combinations,

which is: C(n, k) = n! / (k! (n - k)!)

where n is the total number of members and k is the number of members being chosen.

So, for n = 20 and k = 1, we have:

C(20, 1) = 20! / (1! (20 - 1)!) = 20

This gives us 20 choices for the president.

For the vice president,

We need to choose 1 member from the remaining 19 members.

So, for n = 19 and k = 1,

we have:

C(19, 1) = 19! / (1! (19 - 1)!) = 19

This gives us 19 choices for the vice president.

Finally, for the secretary,

We need to choose 1 member from the remaining 18 members.

So, for n = 18 and k = 1,

we have:

C(18, 1) = 18! / (1! (18 - 1)!) = 18

This gives us 18 choices for the secretary.

Now for finding the total number of ways to choose the three positions, we multiply the number of choices for each position:

So, the required number of ways will be 20 * 19 * 18 = 6840

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A larger sample size may be necessary to achieve a more representative sample.

If the grocery stores are similar in terms of the demographics of their customers, the variety and quantity of vegetables they stock, and their geographic location within the city, then it's possible that Zach's sample of 20 vegetables from each store could be representative of the city as a whole.

If the grocery stores differ significantly in any of these factors, then Zach's sample may not be representative.

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Answer:

You can figure out the area of the rectangle and aproximate

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

I think it is 360 because if you split it into two part and you plot the top and motte number you get 8 for the top and 10 for the bottom so 18 times ten is 180 and 180 times 2 is 360