Sider the following sequence – 4, 4, – 4,4, – 4, ... Write an explicit formula for the sequence. (use the form an b(r)"– 1) an

Answer:

x is equal to six

Step-by-step explanation:

4 × 6 = 24

Answer: There is only one step to this equation. We will use inverse operations to isolate the x by dividing 4 on both sides. (4 is being multiplied by x, and the opposite of multiplication is division.)

4x/4 = x

24/4 = 6

The equation now looks like:

x = 6

x is equal to 6, so this is your answer.

The volume of a cone with the same radius and height as a cylinder with volume 300 is 100.

What is the Volume?

Volume is a measure of the amount of space that an object occupies. It is a three-dimensional measurement that is typically expressed in cubic units.

A cylinder with volume 300 and radius "r" has a height "h" given by the formula:

V = πr²h

So, h = V / (πr^2) = 300 / (πr²).

A cone with the same radius "r" and height "h" as the cylinder has a volume given by the formula:

V = (1/3)πr²h

Plugging in the values of "r" and "h" obtained above, we get:

V = (1/3)πr²h = (1/3)πr² (300 / (πr²)) = 100.

Hence, the volume of a cone with the same radius and height as a cylinder with volume 300 is 100.

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The appropriate null and alternative hypotheses for testing the claim that the mean recovery time for patients after the new surgical treatment is more than 72 hours can be stated as follows:

Null Hypothesis (H₀): The mean recovery time for patients after the new surgical treatment is equal to or less than 72 hours.

Alternative Hypothesis (H₁): The mean recovery time for patients after the new surgical treatment is greater than 72 hours.

Symbolically, the hypotheses can be represented as:

H₀: μ ≤ 72

H₁: μ > 72

Where μ represents the population mean recovery time for patients after the new surgical treatment.

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Answer:

c=38

Step-by-step explanation:

Substitute 6 for r and -2 for t in the formula given

c=rt^(2)-3t+8

c=6*(-2)^2-3*(-2)+8

c=6*4-3*-2+8

c=24+6+8

Answer: The man was worse off than in 2005

Step-by-step explanation:

Assume the man's salary in 2005 was $4,500.

In 2006 therefore, his salary goes to:

= 4,500 * (1 + 10%)

= $4,950

In 2007, this drops by 10%:

= 4,950 * ( 1 - 10%)

= $4,455

The man was worse off than in 2005 because the 10% reduction was based on the larger 2006 salary but the 10% increase was based on the smaller 2005 salary.

Answer:

6/16=0,375

0,375*30=11,25

Answer:

75

Step-by-step explanation:

did it 5 mins ago

A square-based box with an open top and volume of 4,000 cm³ has minimum surface area when its dimensions are 10√2 cm by 10√2 cm by 20√2 cm.

Let's assume that the box has a square base with side length x and height h. Then, its volume is given by:

V = x^2 * h

We are given that the volume is 4,000 cm³, so we can write:

x^2 * h = 4,000

Solving for h, we get:

h = 4000 / x^2

The amount of material used to construct the box is the sum of the areas of its five faces (four sides and the base). Since the box has an open top, we don't need to consider its area. The area of the base is x^2, and the area of each side is x times the height h. Thus, the total surface area A of the box is given by:

A = x^2 + 4xh

Substituting the expression we found for h, we get:

A = x^2 + 4x(4000 / x^2)

Simplifying and factoring out 4, we get:

A = 4(x^2 + 1000/x)

To find the dimensions of the box that minimize the amount of material used, we need to find the value of x that minimizes A. We can do this by taking the derivative of A with respect to x and setting it equal to zero:

dA/dx = 8x - 4000/x^2 = 0

Solving for x, we get:

x = 10√2

Substituting this value back into the expression we found for h, we get:

h = 20√2

Therefore, the dimensions of the box (in cm) that minimize the amount of material used are:

side length of the base: 10√2 cm

height: 20√2 cm

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Answer:

they are not congruent

Step-by-step explanation:

Based on the information, Lianne could choose 4 tubes of red and 3 tubes of yellow.

In order to find out how much more paint of each color she can use, we need to determine the ratio of red to yellow paint in the additional 2.5 tubes. Since the ratio should remain 4:3, we can set up a proportion:

4/3 = x/2.5

By cross-multiplying, we get:

4 * 2.5 = 3 * x

10 = 3x

Dividing both sides by 3, we find:

x = 10/3 ≈ 3.33

This means Lianne can use approximately 3.33 small tubes of red paint and 2.5 small tubes of yellow paint to achieve the desired slightly more red shade when mixing the additional 2.5 tubes of paint.

In that case, Lianne could choose to either round up to the nearest whole number (4 tubes of red and 3 tubes of yellow) or round down to the nearest whole number (3 tubes of red and 2 tubes of yellow), depending on her preference and the availability of paint tubes.

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In the total amount of $261,000 received from contributors, a majority of $240,000 came from four contributors, with each contributing $60,000. The remaining $21,000 was obtained from smaller individual contributions.

This statement describes the breakdown of contributions received from different sources. Out of the total amount of $261,000, the majority, which is $240,000, came from four specific contributors. Each of these contributors donated $60,000, resulting in a combined contribution of $240,000. The remaining $21,000 represents the sum of smaller individual contributions from various sources.

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Answer:

B

Step-by-step explanation:

The domain is all the x-values in a graph. The range is all the y-values in a graph.

These are the coordinates: (-5,-5)(1,-3)(1,-1)(5,-1)(-5,0)

These are the x-values: -5, 1, 1, 5, -5

These are the y-values: -5, -3, -1, -1, 0

If there are repeating numbers, you don't have to write them again. Write from least to greatest:

Domain: {-5, 1, 5}

Range: {-5, -3, -1, 0}

This is answer choice B.

Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

Answer:

I know how to do it but i can't do it in a couple minutes sorry :(

Step-by-step explanation:

Answer:

I think A

Step-by-step explanation:

If I am wrong I am sorry. Have a good day! :)

Answer:

x=7   y= -3

Step-by-step explanation:

When you ADD both the x variable is cancelled

since -3x + 3x = zero

then you solve for y  And when you plug the value of y you will solve x

     2y-3x =-27

     5y+3x =6

   ADD BOTH

    7y = -21

    y = -3

     PLUG y

5(-3)+3x  = 6

 -15 + 3x = 6

     3x = 21

      x=7

The statement ∃x∀y (xy = 0) the domain of discourse is the set of real numbers is true.

The term called domain in math is defined as the set of values that we are allowed to plug into our function.

Here we have know that the statement ∃x∀y(xy = 0) and the domain of discourse is the set of real numbers

Here we have to check whether the given statement is true or not.

Here we know that the domain of each variable consists of all real numbers ∀x∃y(xy =0 )

Here we also know that for every real value of x function x2 =y exist means there exist value y which also a real number.

Hence the truth value is TRUE.

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Answer:

$43.48

Step-by-step explanation:

58.89x.30=17.68

58.89-17.68=41.21

41.21x.055=2.27

41.21+2.27= $43.48

Answer:

$43.49

Step-by-step explanation:

When you take of 30%, multiply by 0.7

When you add 5.5%, multiply by 1.055

Start with $58.89

Take off 30%: 0.7 * $58.89 = $41.22

Add 5.5%: 1.055 * $41.22 = $43.49

From the question, we know that the sum of BC and CD equals BD.

BD = BC + CD = 7x - 10

BC = 4x - 29

CD = 5x - 9

Let's set BC and CD equal to BD

4x - 29 + 5x - 9 = 7x - 10

Combine like terms on the left side.

9x - 38 = 7x - 10

Add 38 to both sides and subtract 7x from both sides.

2x = 28

Divide both sides by 2

x = 14

Answer:

Step-by-step explanation:

Hope this helps

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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a) The probability is $\frac{65}{357}$.

b)  The probability is $\frac{781}{1000}$.

c)  The probability is $\frac{58}{195}$.

d) The probability is $\frac{65}{357}$.

e) We can construct a probability tree for these probabilities. Below is the probability tree:probability tree for airlines. Therefore, the above figure is the probability tree for airlines.

The probability that a randomly selected flight was Delta and was late is $\frac{65}{357}$.Therefore, the probability is $\frac{65}{357}$.

The probability that a randomly selected flight was United or was on-time is $\frac{781}{1000}$.Therefore, the probability is $\frac{781}{1000}$.

Given the flight was late, the probability that it was from American is $\frac{58}{195}$.Therefore, the probability is $\frac{58}{195}$.

Given the flight was from Delta, the probability that it was late is $\frac{65}{357}$.Therefore, the probability is $\frac{65}{357}$.

We can construct a probability tree for these probabilities. Below is the probability tree:probability tree for airlines. Therefore, the above figure is the probability tree for airlines.

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Answer:

True.

Step-by-step explanation:

first solid

A=72

second solid

A= 72

Answer:

True

Step-by-step explanation:

Both the surface areas = 72.

We would need to flip the coin 107 times to obtain a 90% confidence interval with a width of at most 0.16 for the probability of flipping a head.

To answer this question, we can use the formula for the margin of error in a binomial proportion confidence interval, which is:

Margin of Error = z*sqrt(p*(1-p)/n)

Here, z is the z-score corresponding to the desired level of confidence (90% = 1.645), p is the estimated probability of flipping heads (which we assume to be 0.5 for a fair coin), and n is the sample size we need to determine.

We want the margin of error to be at most 0.16, so we can plug in these values and solve for n:

0.16 = 1.645*sqrt(0.5*(1-0.5)/n)

Squaring both sides and rearranging, we get:

n = (1.645/0.16)^2 * 0.5*(1-0.5)

n ≈ 84.18

So we would need to flip the coin at least 85 times to obtain a 90% confidence interval for the probability of flipping a head with a width of at most 0.16. Note that this assumes that the coin is actually fair – if it is biased towards heads or tails, we may need a larger sample size to achieve the same level of precision.

To find the required number of coin flips for a 90% confidence interval with a width of at most 0.16, we can use the formula for the margin of error in a proportion:

Margin of Error = Z * sqrt(p * (1-p) / n)

Here, Z is the Z-score corresponding to the desired confidence level (90%), p is the suspected probability of flipping a head (0.5, since we suspect the coin is fair), and n is the number of flips we want to find.

For a 90% confidence interval, the Z-score is approximately 1.645 (you can find this from a Z-table). The margin of error is half the width of the confidence interval, so in this case, it's 0.16 / 2 = 0.08.

Now, we can plug these values into the formula and solve for n:

0.08 = 1.645 * sqrt(0.5 * (1-0.5) / n)

Squaring both sides, we get:

0.0064 = 2.706025 * (0.5 * 0.5) / n

To isolate n, we can rearrange the equation:

n = 2.706025 * (0.5 * 0.5) / 0.0064

n ≈ 106.09

Since we cannot have a fraction of a coin flip, we round up to the nearest whole number. Thus, we would need to flip the coin 107 times to obtain a 90% confidence interval with a width of at most 0.16 for the probability of flipping a head.

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The main purpose of business sustainability is to achieve long-term success by balancing economic, social, and environmental concerns. It involves integrating sustainable practices into business strategies to create positive impacts on the environment, society, and stakeholders while ensuring profitability and resilience.

Environmental management plays a crucial role in sustainable business development. It involves identifying and managing environmental risks, implementing eco-friendly practices, reducing resource consumption, minimizing waste generation, and promoting environmental stewardship. By incorporating environmental management into their operations, businesses can enhance their sustainability performance, comply with regulations, improve brand reputation, and contribute to a healthier planet.

Stakeholder analysis plays a vital role in sustainable development, particularly in the context of specific industries or sectors. In the case of rubber cultivation in Southwest China, stakeholder analysis helps identify and understand the diverse stakeholders involved, such as rubber farmers, local communities, government agencies, environmental organizations, and consumers. By analyzing stakeholders' interests, concerns, and power dynamics, sustainable development initiatives can be tailored to address their needs effectively. Stakeholder engagement and collaboration are crucial for promoting sustainable practices, ensuring social acceptance, mitigating conflicts, and achieving sustainable outcomes in rubber cultivation and other industries.

Environmental management plays a vital role in sustainable business development. It involves assessing and managing environmental risks, implementing eco-friendly practices, complying with environmental regulations, and monitoring environmental performance. By adopting sustainable production processes, minimizing resource consumption, reducing emissions and waste generation, and promoting environmental stewardship, businesses can enhance their environmental performance. Effective environmental management not only benefits the environment but also leads to cost savings, improved efficiency, enhanced brand reputation, and reduced regulatory risks.

The pillars of sustainable development provide a framework for addressing the interconnectedness of economic, social, and environmental aspects. The economic pillar emphasizes the need for sustainable economic growth, productivity, and innovation while ensuring equitable distribution of resources. The social pillar highlights the importance of social well-being, equality, human rights, and inclusivity. The environmental pillar recognizes the significance of environmental conservation, resource efficiency, pollution prevention, and climate change mitigation. These pillars are interdependent, and progress in one pillar can influence the others. Sustainable development requires a balanced and integrated approach that considers all three dimensions.

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Answer:

g⁶⁰

Step-by-step explanation:

(g⁶) ¹⁰

When you raise an exponent to another exponent, you multiply the exponents.

6 × 10 = 60

(g⁶)¹⁰ = g⁶⁰

Answer:

g^60

Step-by-step explanation:

multiply the exponents 6 and 10 and it will be 60 like this g^60 I hope this  helped you :) Im sorry if it was wrong

Answer:

please check the image for the answer

The standard deviation of the data set is approximately 0.6628 F and standard error is  0.06327

The margin of error can be used to estimate the standard error, which is the standard deviation of the sample mean.

The formula is Margin of error = z × (standard error)

where z is the z-score for the desired level of confidence.

For a 95% confidence level, z = 1.96.

Solving for the standard error:

0.124 = 1.96× (standard error)

standard error = 0.124 / 1.96 = 0.06327

The standard error can be used to estimate the standard deviation using the formula:

Standard deviation = standard error ×√n

where n is the sample size.

Substituting the values:

Standard deviation = 0.06327√115 = 0.6628

Therefore, the standard deviation of the data set is approximately 0.6628 F.

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