I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!! Will mark Brianliest !!!!!!!!!

Answer:

353.25 miles.

Step-by-step explanation:
multiply 78.5 mph by 4.5 hours

A function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f is f(x) = 3x^4/4 + 729/4.

In the given question, we have to find a function f such that f'(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f.

The given function is f'(x) = 3x^3.

No integrating on both side,

f(x) = \(\int3x^3dx\) + C

f(x) = 3x^4/4 + C

As given, the line 81x + y = 0 is tangent to the graph of f.

So, slope at point of tangent; f'(x) = -81

So, 3x^3 = -81

Divide by 3 on both side, we get

x^3 = -27

Taking cube root on both side, we get

x = -3

So putting the value of x in 81x + y = 0, we get

y = 243

Thus, f(x) passes through (-3, 243).

So, 243 = 3/4(81) + C

Multiply by 4 on both side, we get

972 = 243 + 4C

Subtract 243 on both side, we get

4C = 729

Divide by 4 on both side, we get

C = 729/4

So, f(x) = 3x^4/4 + 729/4

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To determine the long-run equilibrium for each firm's production of kites, we need to find the level of output where marginal cost (MC) equals marginal revenue (MR). In perfect competition, firms maximize their profit by producing at the level where MC = MR.

Given the marginal cost function MC = 0.02q, we equate it to the marginal revenue, which is equal to the market price (P) in perfect competition. So, we have:

0.02q = P

Now, we need to find the price at which the quantity demanded (QD) equals the quantity supplied (QS) in the market. To do this, we set QD equal to QS:

QD = QS

Substituting the demand function QD = 4000 - 1000P into the equation, we get:

4000 - 1000P = QS

Now, we can solve for the price (P):

4000 - 1000P = 0.02q

Simplifying further:

1000P = 4000 - 0.02q

P = (4000 - 0.02q) / 1000

Now, we can substitute the value of P into the equation for MC to find the level of output (q):

0.02q = P

0.02q = (4000 - 0.02q) / 1000

Solving for q:

0.02q = 4 - 0.00002q

1.00002q = 4

q = 4 / 1.00002

q ≈ 3999.8

In the long-run equilibrium, each firm will produce approximately 3999.8 kites.

The long-run supply curve for kites in perfect competition is horizontal at the minimum average total cost (ATC) of the firms. This is because in the long run, firms have enough time to adjust their inputs and optimize their production processes, leading to production at the lowest possible cost.

a. To find the number of kites sold and the number of firms in the kite industry, we substitute the price (P) into the demand function QD = 4000 - 1000P:

QD = 4000 - 1000P

QD = 4000 - 1000(4000 - 0.02q) / 1000

Simplifying:

QD = 4000 - 4000 + 0.02q

QD = 0.02q

Since q represents the output per firm and we know that each firm produces around 3999.8 kites, we can substitute this value:

QD = 0.02 * 3999.8

QD ≈ 79.996

Approximately 80 kites will be sold. To find the number of firms in the kite industry, we divide the total quantity supplied by the output per firm:

QS = 3999.8

Number of firms = QS / q

Number of firms = 3999.8 / 3999.8

Number of firms = 1

b. In the very short run, when it is impossible to manufacture any more kites than those produced for that week, the price of kites will be determined by the demand and supply conditions. With the demand function QD = 5000 - 500P, we can find the equilibrium price:

QD = QS

5000 - 500P = QS

Substituting the supply quantity from above:

5000 - 500P = 3999.8

Solving for P:

500P = 5000 - 3999.8

We can conclude that the marketing manager's claim is true.

To determine whether the marketing manager's claim is true, we need to conduct a hypothesis test.

Let p be the proportion of all children aged 8-12 who have cell phones. The marketing manager claims that p > 0.5, while the national consumers group survey found that 39/54 or p' = 0.722 have cell phones.

The null hypothesis is that the true proportion of children with cell phones is less than or equal to 0.5:

H0: p ≤ 0.5

The alternative hypothesis is that the true proportion of children with cell phones is greater than 0.5:

Ha: p > 0.5

We will conduct a one-tailed hypothesis test with a level of significance of 0.05.

Under the null hypothesis, the sample proportion follows a binomial distribution with parameters n = 54 and p = 0.5. The standard error of the sample proportion is given by:

SE = √[p(1-p)/n] = √[0.5(1-0.5)/54] = 0.070

The test statistic is calculated as:

z = (p' - p) / SE = (0.722 - 0.5) / 0.070 = 3.14

The critical value for a one-tailed test with a level of significance of 0.05 is 1.645, using the standard normal distribution table.

Since the test statistic (z = 3.14) is greater than the critical value (1.645), we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that more than half of the children aged 8-12 have cell phones.

Therefore, we can conclude that the marketing manager's claim is supported by the data from the survey.

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The required probability for a bottle has volume between 995ml to 1,002ml is equals to 32.6%

Mean volume 'μ' = 1,000 milliliters

Standard deviation 'σ' = 7 ml

Using the standard normal distribution,

First, convert the given values to a standard normal distribution.

Using z-scores for each value, we have,

z -score = ( X - μ )/ σ

For X > 996 ml

z1 = (996 - 1000) / 7 = -0.5714

For X < 1002ml

z2 = (1002 - 1000) / 7 = 0.2857

Use a standard normal distribution table ,

Probability that a bottle has a volume between these two values.

Probability that a bottle has a volume between z1 and z2,

P(z1 < z < z2) = P(z < z2) - P(z < z1)

Using a standard normal distribution table,

P(z < z2) = 0.6103

P(z < z1) = 0.2843

Probability that a bottle has a volume between 996 ml and 1,002 ml is,

P(z1 < z < z2)

= P(z < z2) - P(z < z1)

= 0.6103 - 0.2843

= 0.3260

= 32.6%

Therefore, there is a 32.6% probability that a bottle has a volume between 996 ml and 1,002 ml.

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Answer:

52

Step-by-step explanation:

The order of the U5 and U6 is not equal hence isomorphic.

U5 fifth root of unit

U6  sixth root of unit

U5 = { z E c : Z^5 =1 }

= {e ^2ikx : k=0,1,2,,,,n}

U6 = { z E c : Z^6 =1 }

= {e ^2ikx : k=0,1,2,,,,n-1}

U5 = Z5

U6 = Z6

In mathematics, an isomorphism is a structure-preserving mapping between two similar structures that can be reversed by inverse mapping. Two mathematical structures are isomorphic if there is an isomorphism between them.

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The value of f(5)(0) for the given Maclaurin series is -1/750.

The Maclaurin series for a function f(x) is given by the formula:

f(x) = Σn=0 to infinity [f^(n)(0) / n!] x^n

where f^(n)(0) is the nth derivative of f evaluated at x=0.

In this case, we are given the Maclaurin series for the function f(x) as:

f(x) = x * Σn=1 to infinity (-1)^n (1 / (x^n * 3n^2 * (n+5)))

To find the 5th derivative of f(x) evaluated at x=0, we need to differentiate the series 5 times and then evaluate it at x=0.

f(1)(x) = Σn=1 to infinity (-1)^n (1 / (x^(n-1) * 3n^2 * (n+5)))

f(2)(x) = Σn=1 to infinity (-1)^n * (n-1) / (x^n * 3n^2 * (n+5))

f(3)(x) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) / (x^(n+1) * 3n^2 * (n+5))

f(4)(x) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) * (n+7) / (x^(n+2) * 3n^2 * (n+5))

f(5)(x) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) * (n+7) * (n+12) / (x^(n+3) * 3n^2 * (n+5))

Substituting x=0, we get:

f(5)(0) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) * (n+7) * (n+12) / (0^(n+3) * 3n^2 * (n+5))

Simplifying the denominator, we get:

f(5)(0) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) * (n+7) * (n+12) / (3n^2 * (n+5))

To evaluate this series, we can use partial fraction decomposition and then use the formula for the sum of the series 1/n^2.

After simplifying, we get:

f(5)(0) = -1/750

Therefore, the value of f(5)(0) is -1/750, which is option (C).

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It will take approximately 18 weeks for the virus to infect 800,000 people, based on a growth rate of 12% per week. This calculation assumes a continuous and consistent rate of infection.

To determine how long it will take for the virus to infect 800,000 people, we can use exponential growth based on the given rate of 12% per week.

Let's calculate the number of infected people after each week:

Week 1: 100,000 + (12% of 100,000) = 100,000 + 12,000 = 112,000

Week 2: 112,000 + (12% of 112,000) = 112,000 + 13,440 = 125,440

Week 3: 125,440 + (12% of 125,440) = 125,440 + 15,053.8 ≈ 140,494

Week 4: 140,494 + (12% of 140,494) = 140,494 + 16,859.28 ≈ 157,353

We can observe that the number of infected people increases each week by approximately 12%.

Now let's continue calculating the number of infected people until we reach or surpass 800,000:

Week 5: 157,353 + (12% of 157,353) ≈ 176,125

Week 6: 176,125 + (12% of 176,125) ≈ 197,375

Week 7: 197,375 + (12% of 197,375) ≈ 221,225

Week 8: 221,225 + (12% of 221,225) ≈ 247,861

Week 9: 247,861 + (12% of 247,861) ≈ 277,960

Week 10: 277,960 + (12% of 277,960) ≈ 312,011

Week 11: 312,011 + (12% of 312,011) ≈ 350,131

Week 12: 350,131 + (12% of 350,131) ≈ 392,157

As we can see, by the end of Week 12, the number of infected people is approximately 392,157. Therefore, it will take more than 12 weeks for the virus to infect 800,000 people.

To determine the exact number of weeks, we need to continue the calculations until we reach or surpass 800,000:

Week 13: 392,157 + (12% of 392,157) ≈ 439,579

Week 14: 439,579 + (12% of 439,579) ≈ 492,205

Week 15: 492,205 + (12% of 492,205) ≈ 550,394

Week 16: 550,394 + (12% of 550,394) ≈ 614,915

Week 17: 614,915 + (12% of 614,915) ≈ 686,982

Week 18: 686,982 + (12% of 686,982) ≈ 767,180

Therefore, it will take approximately 18 weeks for the virus to infect 800,000 people.

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- The volume of each box increases as the size of the base edges increases.

a. The scale factor between the pyramids is 3/2.

b. The ratio of their surface areas is 3/2.

c. The ratio of their volumes is 27/8.

- The estimated volume of the larger hamster ball is approximately 905 in³.

- The classmate's error is assuming similarity based solely on the ratio of side lengths without considering the proportionality of all corresponding dimensions.

- The volume of the smaller cylinder is 486 m².

a. The ratio of their heights is approximately 3.17.

b. The ratio of the area of their bases is approximately 7.07.

We have,

Nesting Gift Boxes:

The volume of each box can be determined by multiplying the area of the hexagonal base by the height of the box.

Since the height is not specified, we can assume that all three boxes have the same height.

Comparing the volume of each box:

The volume of the large box is larger than the medium box, and the volume of the medium box is larger than the small box.

The ratio of the volumes will be proportional to the cube of the ratio of the corresponding side lengths.

Similar Pyramids:

a. The scale factor between two similar pyramids can be found by comparing their corresponding heights.

In this case, the scale factor is 9/6 = 3/2.

b. The ratio of their surface areas can be found by comparing the square of their corresponding side lengths.

Since the surface area is proportional to the square of the side length, the ratio will be (9/6)^2 = 3/2.

c. The ratio of their volumes can be found by comparing the cube of their corresponding side lengths.

Since the volume is proportional to the cube of the side length, the ratio will be (9/6)³ = 27/8.

Larger Hamster Ball:

The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius.

To estimate the volume of the larger hamster ball, we can use the ratio of the cube of their diameters since the volume is proportional to the cube of the diameter.

The ratio of their volumes will be (14/8)³ = 3.375.

Multiplying this ratio by the volume of the smaller ball (268 in³), we estimate that the volume of the larger hamster ball is approximately 268 in³ x 3.375 ≈ 905 in³.

Error Analysis:

The classmate's error is assuming a similarity between the two rectangular prisms based solely on the ratio of their side lengths. Similarity requires that all corresponding angles are equal, not just the side lengths.

In this case, the two prisms have different proportions in terms of their width and height, and therefore they are not similar.

Similar Cylinders:

The lateral area of a cylinder is proportional to its height.

Comparing the lateral areas of the two similar cylinders (64 m² and 144 m²), the ratio of their heights will be √(144/64) = 3/2.

Since the ratio of the heights is 3/2, the ratio of their volumes will also be (3/2)^2 = 9/4.

Given that the volume of the larger cylinder is 216 m², the volume of the smaller cylinder will be (9/4) x 216 m² = 486 m².

Similar Prisms:

a. The ratio of the heights of two similar prisms can be found by taking the cube root of the ratio of their volumes.

In this case, the ratio of their volumes is 5000 ft³ / 135 ft³ = 37.04.

Taking the cube root of 37.04, we find that the ratio of their heights is approximately 3.17.

b. The ratio of the area of their bases will be the square of the ratio of their side lengths.

Since the area of the base is proportional to the square of the side length, the ratio will be \((5000 ft^3 / 135 ft^3)^{2/3}\)= 7.07.

Thus,

- The volume of each box increases as the size of the base edges increases.

a. The scale factor between the pyramids is 3/2.

b. The ratio of their surface areas is 3/2.

c. The ratio of their volumes is 27/8.

- The estimated volume of the larger hamster ball is approximately 905 in³.

- The classmate's error is assuming similarity based solely on the ratio of side lengths without considering the proportionality of all corresponding dimensions.

- The volume of the smaller cylinder is 486 m².

a. The ratio of their heights is approximately 3.17.

b. The ratio of the area of their bases is approximately 7.07.

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Answer:

The answer is 1 9/19

Step-by-step explanation:

If the length of a rectangular garden is twice its width, and the garden is surrounded by a rectangular concrete walk having a uniform width of 4 feet, and the area of the garden and the walk is 330 square feet, then the dimensions of the garden are 10 feet by 20 feet.

The length of a rectangular garden is twice its width, so if we let the width be x, then the length is 2x. The area of the garden is the length times the width, so it is 2x*x = 2x².Now let's add the width of the walk to the dimensions of the garden, so the width of the garden plus the walk is x + 8, and the length plus the walk is 2x + 8. The area of the garden plus the walk is the length plus the walk times the width plus the walk, so it is (x + 8)(2x + 8).

According to the problem, the area of the garden plus the walk is 330 square feet. We can set up an equation to solve for x:(x + 8)(2x + 8) = 330Simplifying and solving for x, we get:x² + 10x - 29 = 0(x + 13)(x - 3) = 0x = -13 or x = 3Since the width of the garden cannot be negative, we must take x = 3. Then the length of the garden is 2x = 6, and the dimensions of the garden are 3 feet by 6 feet.

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Answer:

3 im not sure

Step-by-step explanation:

The exact value of secθ secθ in simplest radical form is 106/81.

The length of the hypotenuse is the distance from the origin to the point (-9, 5):

√((-9)^2 + 5^2) = √(81 + 25) = √106

cosθ = adjacent/hypotenuse = -9/√106

Therefore, secθ = 1/cosθ = -√106/9.

In order to find the value of secθ secθ, we simply multiply secθ by itself:

secθ secθ = (-√106/9) * (-√106/9) = 106/81

The exact value of secθ secθ is 106/81.

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Answer:

A

Step-by-step explanation:

If you put your function in a graphing calculator you will get (6,0)

Whenever possible, research should be designed so that the data can be anlyzed using option (a) statistics

-This includes both parametric tests (which assume that the data is normally distributed and meet certain assumptions) and non-parametric tests (which do not make these assumptions and are useful for non-normal data). SPSS is a software program commonly used for statistical analysis, but it is not necessary for conducting statistical analyses.

a. statistics

Research should be designed so that the data can be analyzed using statistics. Statistics provide a set of methods and tools for analyzing and interpreting data, which can help researchers draw meaningful conclusions from their findings. Statistical analysis can be used to identify patterns, trends, and relationships in data, as well as to test hypothesis and make predictions.

Depending on the research question, data type, and sample size, different types of statistical tests may be appropriate. Both parametric and non-parametric tests can be used to analyze data, depending on the assumptions made about the underlying distribution of the data and the level of measurement of the variables. SPSS is a statistical software program that can be used to perform statistical analysis, but it is not necessary for designing research studies or analyzing data.

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Answer:

\( \frac{6}{8} \)

Step-by-step explanation:

\( \frac{3}{4} \)\( = \frac{3 \times 2}{4 \times 2} \)\( = \frac{6}{8} \)

Answer:

A and B

Step-by-step explanation:

Answer:

The correct option is;

E) The average wait time to make payment and the number of cashiers working in a store

Step-by-step explanation:

An inversely proportional relationship is a relationship between two variables one where the increase in the magnitude one variable leads to the reduction in the magnitude of a second variable written mathematically as follows;

y ∝ 1/x

Therefore, given that as the number of cashiers at a store increases, the number of customers attended to per unit time by all the cashiers together increases, and the number of wait time observed by a customer to pay for the goods bought decreases.

Answer:

B.) The total number of stores visited and the average time spent in each store

E.) The average wait time to make a purchase and the number of cashiers working in a store

Step-by-step explanation:

It is correct I just took the test :)

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

Step-by-step explanation:

Total Cost = D

D= Price  + Price (0.0775)

D= Price (1 +(0.0775)) Factoring the price

D= Price (1.0775)

D= 1.0775 Price

The probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.

Let's use the following notation:

P(TB) represents the probability that an adult has tuberculosis, which is given as 0.05.

P(POS|TB) represents the probability that the test is positive given that an adult has tuberculosis, which is given as 0.746.

P(NEG|TB) represents the probability that the test is negative given that an adult has tuberculosis, which is 1 - P(POS|TB) = 0.254.

We are asked to find the probability of an adult getting a NEG result and truly having tuberculosis, which can be calculated using Bayes' theorem as follows:

P(TB|NEG) = P(NEG|TB) * P(TB) / P(NEG)

We can calculate P(NEG) using the law of total probability, which considers the two possible cases for an adult: having tuberculosis (TB) or not having tuberculosis (TB').

P(NEG) = P(NEG|TB) * P(TB) + P(NEG|TB') * P(TB')

= 0.254 * 0.05 + 0.7653 * 0.95

= 0.7352

Now we can substitute the values into Bayes' theorem:

P(TB|NEG) = 0.254 * 0.05 / 0.7352

= 0.01725

Therefore, the probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.

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Answer:

It is 25

Step-by-step explanation:

If the equation is 4/5 x n = 20, you will find the answer by dividing because its the opposite of multiplication.

\(20/\frac{4}{5} = 20x5/4=\\24\)

The answer is 25

I hope this helps :3

Answer:

its (3x²+8)(x-5)

Step-by-step explanation:

3x² * x = 3x³.

3x² * -5 = -15x².

8 * x = 8x.

8 * -5 = -40.

The completely factored form of her polynomial is (3x² + 8)(x - 5).

"Factorization of polynomials expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain."

Given polynomial is:

3x³ – 15x² + 8x - 40

= 3x²(x - 5) + 8(x - 5)

= (3x² + 8)(x - 5)

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Answer:

B) \(q=\pm\frac{5\sqrt{p}}{4p}\)

Step-by-step explanation:

\(16pq^2=25\\pq^2=\frac{25}{16}\\q^2=\frac{25}{16p}\\q=\pm\frac{5}{4\sqrt{p}}\\q=\pm\frac{5\sqrt{p}}{4p}\)

Make sure to rationalize the denominator in the last few steps

Answer:

Answer choice A

Step-by-step explanation:

This is the midpoint of both coordinates.