Aubree just lit a new candle and then let it burn all the way down to nothing. The initial length of the candle was 15 inches and after burning for 8 hours, the candle's height was down to 5 inches. Write an equation for L,L, in terms of t,t, representing the length of the candle remaining unburned, in inches, tt hours after the candle was lit.

The correct research method for the study mentioned in the question is a Field survey.

Field survey can be defined as a research method used to collect data from a target population. In this study, researchers used a survey questionnaire to gather data from participants. The research aimed to test the theory that the exposure to multiple versions of fake news on various social media platforms made people believe the news.

The researchers surveyed 1,455 participants with an average age of 27, and 42% were male. The participants were exposed to 24 false news stories, and one group was exposed to multiple versions of fake news, while the other group was only exposed to each news story once.

The findings suggested that the more familiar the news was, the more accurate and believable it was. This familiarity effect lasted for up to a month. Hence, the research method used in this study was a field survey.

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A 12-ounce can of beer contains the same amount of alcohol as a five-ounce glass of wine.

In a five-ounce glass of wine, the percentage of alcohol is 12%, which is the same in the 12-ounce can or bottle of beer, and 1.5 ounces of 86-proof liquor. Although a person under the influence of alcohol will have impaired judgment and therefore must avoid driving, doesn't matter what kind of alcoholic beverage they drink. Digestion of alcohol doesn't take place as soon as you drink it, it is absorbed in your bloodstream which reaches the brain and thus creates impaired judgment.

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Answer:

7.5 < 10 <1 2

Step-by-step explanation:

The order of this shows them from least to greatest using the inequality symbols.

One of the way by which we can solve equivalent questions is by multiplying both the numerator and the denominator by a same number .

The number chosen for the purpose should be same and should be a non zero number. Example, if we want to find the equivalent of 2/8 then we can simply multiply 2 and 8 which are the numerator and the denominator by a same number say 3 .

Then we will get the result as 2 x 3 /8 x 3 = 6 / 24 .

The result will be a number equivalent to the given fraction. This can be checked by reducing the result to its lowest terms.

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The probability of exactly 3 of 5 balls being green in a binomial distribution with p = 0.2 and n = 5 is 0.250.

A binomial distribution is a probability distribution that describes the number of successes in a sequence of n independent trials.

In this case, the success is drawing a green ball and the failure is drawing a red ball. The probability of success is p = 0.2 and the probability of failure is q = 0.8.

The probability of exactly 3 of 5 balls being green is given by the following formula:

P(3 successes in 5 trials) = nC3 * p^3 * q^2

where nC3 is the number of ways to choose 3 successes from 5 trials, p^3 is the probability of 3 successes, and q^2 is the probability of 2 failures.

Plugging in the values of n, p, and q, we get the following:

P(3 successes in 5 trials) = 5C3 * (0.2)^3 * (0.8)^2 = 0.250

Therefore, the probability of exactly 3 of 5 balls being green in a binomial distribution with p = 0.2 and n = 5 is 0.250.

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To increase usability in a spreadsheet, you can use comments, descriptive labels, and data validation.

To increase usability in a spreadsheet, you can utilize the following techniques:

1. Comments: Comments allow you to add explanatory notes or instructions within cells. They can provide additional context or clarify the purpose of certain data or formulas. Users can view comments by hovering over the respective cell, making it helpful for collaboration and documentation.

2. Descriptive Labels: Instead of relying solely on cell references or generic labels, use descriptive labels that clearly indicate the purpose of each column, row, or range of cells. This approach enhances readability and makes it easier for users to understand the data and navigate through the spreadsheet.

3. Data Validation: Implement data validation rules to ensure the accuracy and integrity of the data entered into the spreadsheet. Data validation allows you to define constraints or conditions for input, such as numeric ranges, predefined lists, or specific text formats. It helps prevent errors and assists users in entering valid data.

4. Formatting: Properly formatting the cells, columns, and rows can greatly enhance usability. Use consistent formatting for similar types of data, apply color schemes or conditional formatting to highlight important information or trends, and adjust the column widths and row heights to optimize readability.

5. Sheet Organization: Organize the spreadsheet by using multiple sheets if needed. Group related information on separate sheets, and provide clear sheet names that reflect the content or purpose of each sheet. This helps users locate and navigate to specific sections or data within the spreadsheet.

6. Clear Instructions or Documentation: Provide clear instructions or documentation either within the spreadsheet or as separate documentation. Explain the purpose of the spreadsheet, any specific procedures or workflows, and how to interpret the data or use any embedded formulas or macros. This helps users understand the spreadsheet's functionality and ensures consistent usage.

7. Error Handling: Implement error handling mechanisms to provide informative error messages or alerts when users input incorrect or incompatible data. Clear error messages guide users in correcting their input and reduce frustration when dealing with potential errors.

By incorporating comments, descriptive labels, data validation, formatting, sheet organization, clear instructions/documentation, and error handling, you can significantly enhance the usability of your spreadsheet and make it more user-friendly for both yourself and others who interact with it.

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Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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Answer:

8070

Step-by-step explanation:

Given:  

8.07

x

10

3

8.07

×

10

3

=

8.07

×

1000

=

8070

Answer:

ITS C!!!! I hope u passss

Step-by-step explanation:

Answer: why?

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

The value of the expression after evaluating it according to the values of c and d is 42.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Since, no expression is given, let us assume that the expression is

c + d / 4

Now we have to evaluate the value of the expression according to the values of c and d,

For that, we will simply put the given values in the expression and solved it accordingly,

Put c = 36 and d = 24 in the expression we assumed,

c + d / 4 = 36 + 24/4

= 36 + 6 = 42

Hence, the value of the expression after evaluating it according to the values of c and d is 42.

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Answer:

2y=26, y=13

3x-(13)= -1, 3x=12, x=4

To fcalculate the magnitude of the average force exerted on the ball by the club, we can use the equation:

F_av = Δp/Δt

where F_av is the average force, Δp is the change in momentum, and Δt is the time of contact.

Given:

Mass of the ball, m = 65.0 g = 0.065 kg

Time of contact, Δt = 0.00340 s

Final velocity of the ball, v_f = 56.0 m/s

Initial velocity of the ball, v_i = 0 (assuming the ball is initially at rest)

The change in momentum, Δp, can be calculated using the equation:

Δp = m * (v_f - v_i)

Substituting the given values:

Δp = 0.065 kg * (56.0 m/s - 0)

Now we can calculate the magnitude of the average force:

F_av = Δp/Δt

Substituting the values:

F_av = (0.065 kg * 56.0 m/s) / 0.00340 s

Calculating the result gives us:

F_av ≈ 1070 N

Therefore, the magnitude of the average force exerted on the ball by the club is approximately 1070 N.

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Answer:

12x -7

Step-by-step explanation:

Answer:

x=48

Step-by-step explanation:

because the angles are on parallel lines, but by the different sides of the other line, they are supplementary, therefore to solve you add them and set them equal to 180. Then you simply solve for x.

x+35+2x+1=180

simplify:

3x+36=180

isolate the x term:

3x+36=180

-36. -36

3x=144

isolate the x:

3x=144

/3. /3

x=48

The bakery will have to pay 1020 times the original price of the flour.

To calculate the amount the bakery has to pay after the 15% discount on the price of flour, we first need to find the discounted price. The discount is applied to the original price of the flour.

Let's assume the original price of the flour is X.

The discount of 15% can be calculated by multiplying X by 15% (or 0.15). So, the discount amount is 0.15X.

The discounted price of the flour is then the original price minus the discount amount: X - 0.15X = 0.85X.

Now, let's calculate the quantity the bakery needs to pay for. The last order was for 1200 kg of flour.

To find the total amount they need to pay, we multiply the discounted price per kilogram (0.85X) by the quantity (1200 kg): 0.85X * 1200 = 1020X.

So, the bakery will have to pay 1020 times the original price of the flour. Unfortunately, we don't have enough information to determine the actual amount they have to pay in terms of a specific currency value.

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Let the number be represented by "n"

Answer:

each number in the ratio 4:5:7 is worth 6 sweets. add 4,5, and 7 to get 16 then multiply it by 6 to get 96 sweets.

Step-by-step explanation:

add the ratios = 4+5+7= 16

1 number = 6 so

4x6= 24

5x6=30

7x6=42

Frank gets 24 sweets

Mary gets 30 sweets

Seth gets 42 sweets

The total number of sweets they shared is 24+30+42= 96

The share 96 sweets altogether.

The check your answer; do 42-24= 18

Therefore, now we know that the difference between Seth and Frank's amount of sweets is 18.

Therefore, this is correct.

The supervisor should predict that 200 out of 5,000 tires will have incorrect diameters based on the sample of 75 tires that were checked.

If the quality control supervisor has randomly selected 75 tries to check their diameters and found that 3 of them have incorrect diameters, we can use this information to estimate the proportion of tires in the population that have incorrect diameters.

we can use the sample proportion, which is the number of tires in the manufacturing company sample with incorrect diameters divided by the total number of tires in the sample. In this case, the sample proportion is p = 3/75 = 0.04.

To estimate the number of tires out of 5,000 that should have incorrect diameters, we can multiply the population size by the estimated proportion. This gives:

Number of tires with incorrect diameters = 5,000 x 0.04 = 200

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The value of y is 4.

What is an inverse function?

The inverse function of a function f in mathematics is a function that reverses the operation of f. If f is bijective, then and only if it is, the inverse of f exists.

Here, we have

Given: If f varies inversely as x, and y= 2 when x= 2, find y when x= 1.

We have to find the value of f.

f ∝ 1/g

f₁ ×g₁ = f₂ ×g₂

Let the required value of f = x and g = y

Inserting in equation (1) and we get

2 ×2 = 1 ×y

4 = y

Hence, the value of y is 4.

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To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

Using these rules, we can find the vertices of image U′V′W′ as follows:

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).

8 teams will remain in the 4th round of the tournament.

It is given that there are total of 64 teams in the tournament. Each team plays only 1 game per round. The winning team advances to the next round and the losing team gets eliminated and since a game is played between 2 teams, This means for the first round, total number matches are 32 and only 32 teams goes to Round 2.

⇒64 ÷2 = 32

Similarly , for Round 2 there are only 16 matches between 32 teams. If we keep repeating the same process for  Round 3 and Round 4 , we get :

⇒32 ÷ 2 = 16

⇒16 ÷ 2  = 8

Therefore, only 8 teams will remain for the 4th Round of the tournament.

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Answer: Option (4)

Step-by-step explanation:

A quadrilateral with two pairs of opposite congruent sides must be a parallelogram.

x = 9.21° or x = 22.5°

cot²2x – 4cot2x + 3 = 0

Let cot2x = y

y² - 4y + 3 = 0

Factorizing, we have

y² - y - 3y + 3 = 0

y(y - 1) -3(y - 1) = 0

(y - 1)(y - 3) = 0

y - 1 = 0 or y - 3 = 0

y = 1 or y = 3

Since cot2x = y

cot2x = 1 or cot2x = 3

1/tan2x = 1 or 1/tan2x = 3

tan2x = 1 or tan2x = 1/3

2x = tan⁻¹(1) or 2x = tan⁻¹(1/3)

2x = 45° or 2x = 18.43°

x = 45°/2 or x = 18.43°/2

x = 22.5° or x = 9.21°

So, x = 9.21° or x = 22.5°

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