3x^3-21x^2-54x multiplicity

Answer:

wag kana mag aral

Step-by-step explanation:

bobo mo po

The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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Mark Twain's quote about breaking down overwhelming tasks into manageable pieces is a valuable lesson for high school students, particularly when it comes to writing. (option d)

In the context of writing, this quote can be particularly helpful. Writing a story or essay can seem like a daunting task, but if you break it down into smaller pieces, it becomes much more manageable. This is where the process of outlining comes in. An outline is essentially a roadmap of your writing, breaking it down into smaller components that you can tackle one at a time.

In mathematical terms, you can think of this process as a series of equations. Each equation represents a small, manageable piece of the overall problem.

By breaking down the problem into smaller equations, you can solve each one individually, which ultimately leads to solving the larger problem. This is similar to how breaking down a writing project into smaller pieces can help you write a well-structured and coherent piece.

Hence the correct option is (d).

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Answer:

B)$5 for every pound and D)4 words per minute

How this would be correct

Unit Rate Example: $34 per pound

It shows us how much of something per 1 unit of something else,due to this these answers would be correct be B shows that 5 dollars per pound is how much something is.

And D shows how many words per minute someone can read.

Answer:

B and D

Step-by-step explanation:

$5 for every pound and 4 words per minute are both unit rates.

Answer:

I am pretty sure it is 14 but If not I'm sorry

Answer: 3x + 15

Step-by-step explanation:

Distribute the 3 to each of the values within the paranthesis:

3 * x = 3x and 3 * 5 = 15

Combine and the solution is 3x + 15

Answer:

x=2, And i think the 2nd one is reflexive

Step-by-step explanation:

Step-by-step explanation:

m=(y1-y)/(x1-x2)

m=(3-(-4))/(-4-(-2))

m=7/-2=-7/2

y=mx+c

y=-7/2x+c

Answer:

x = 22

Step-by-step explanation:

If l and m are parallel, then

(2x + 60) and 130° are same- side interior angles and are supplementary, thus

2x + 6 + 130 = 180 , simplify

2x + 136 = 180 ( subtract 136 from both sides )

2x = 44 ( divide both sides by 2 )

x = 22

The answer is False because It is possible that the true mean diameter of all the bearings in the container is still within the specified limits, even though the sample mean of 100 bearings is outside the specified limits

The statement that "an inspector chooses 100 bearings from the container that have mean diameter 2.5009 cm. Because this is outside the specified limits, the container is mistakenly rejected" is not accurate. The mean diameter of 2.5009 cm is calculated from a sample of 100 bearings, and it is only an estimate of the true mean diameter of all the bearings in the container. It is possible that the true mean diameter of all the bearings in the container is still within the specified limits, even though the sample mean of 100 bearings is outside the specified limits.

In order to make a decision about whether to reject or accept the container, the inspector should use statistical techniques that take into account the sample size and the level of precision required.

It's also important to note that the tolerance of 0.0006 cm is a very small margin, and it's likely that the manufacturing process can't achieve such a precision. The inspector should consider if the sample size and the precision required are aligned with the manufacturing process.

Therefore, The answer is False because It is possible that the true mean diameter of all the bearings in the container is still within the specified limits, even though the sample mean of 100 bearings is outside the specified limits.

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The transformations applied to the graph of f(x) = x³ to generate the graph of g(x) = -6x³ + 2 are given as follows:

The functions are given as follows:

Due to the multiplication by -6, the transformations are given as follows:

The addition by 2 means that the graph was also translated up 2 units.

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The probability of a hurricane striking the city in at least 1 of the next 10 years is 1 - 0.107 = 0.893 or approximately 89.3%.

In Rob's simulation, he performed an experiment to find the probability of a hurricane striking the city in at least 1 of the next 10 years.

This experimental probability is based on his simulation, which represents a hypothetical scenario rather than real-life data. However, it can still provide valuable insights.

Given that the probability of a hurricane striking the city in any given year is 20%, the probability of a hurricane not striking the city in any given year is 80%.

Using this information, we can calculate the probability of a hurricane not striking the city in 10 consecutive years as (0.8)^10 = 0.107.

Therefore, the probability of a hurricane striking the city in at least 1 of the next 10 years is 1 - 0.107 = 0.893 or approximately 89.3%.

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The analyst should use the alpha aesthetic. The alpha aesthetic makes some points on a plot more transparent than others to call out specific data points.

A set of points plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of correlation, if any, between the values of observed quantities or phenomena, scatter plots are crucial in statistics (called variables). In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are used to plot data points on a horizontal and vertical axis. The values of the columns set on the X and Y axes determine the position of the marker that represents each row in the data table.

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The one-sample chi-square test is used to determine whether the distribution of a single categorical variable significantly differs from what would be expected by chance. The statement is True.

The one-sample chi-square test is a statistical test used to determine if there is a significant difference between the observed frequency and the expected frequency in a single categorical variable. It compares the observed frequency distribution of a variable to the expected frequency distribution, assuming that the null hypothesis is true.

This test compares observed frequencies to expected frequencies and calculates a chi-square statistic to assess the significance of the difference.

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Answer:

I think the answer is continuous hope this helps

Step-by-step explanation:

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domain is xand range is f(x)i.e 2

The interval notation that shows the domain and range of the function

f(x) = 2|x| is domain = (all real numbers) and range = (all real numbers)

The domain of a function is input values "x" for which the function f(x) exists while the range of a function is the output value for which a function exists.

Given the function f(x) = 2|x|

Since the input variable is a positive value, the domain of the value will exists on all real numbers. The domain in interval notation is expressed as

The output variable is a positive value, the range of the value will exists on all real numbers. The range in interval notation is expressed as

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the expression g(f(3)) evaluates to 4.

To evaluate the expression g(f(3)), we first need to find the function value f(3) using the given table. After finding f(3), we will use its value as the input for the function g(x) to determine the final answer.
From the table, we can see that when x = 3, f(x) = 8. So, f(3) = 8. Now, we need to find the function value of g(x) when x = 8, which is g(8).
Looking at the table again, we can see that when x = 8, g(x) = 4. Therefore, g(8) = 4.
Now that we have found the function values for both f(3) and g(8), we can evaluate the expression g(f(3)):
g(f(3)) = g(8) = 4.

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The best function that models this set of data is option B. C(x) = 745000 * \((1.04)^2\)

Exponential refers to a mathematical operation or function involving a constant called the base, raised to a power that is a variable, which is usually represented by the letter x.

The best function that models this set of data is option B.

C(x) = 745000 \(* (1.04) ^ x\)

This is an exponential function that models the growth of the number of homes with computers over time. The base of the exponential function is 1.04, which indicates that the number of homes with computers is growing at a rate of 4% per year.

We can verify this by checking the values in the table.

When x = 1,

C(1) = 745000 * \((1.04) ^ 1\)

C(1) = 774800

When x = 2,

C(2) = 745000 * \((1.04) ^ 2\)

C(2) = 805792

We can see that the function closely matches the given data points. Therefore, option B is the best function that models this set of data.

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Answer:

Step-by-step explanation:

Time taken for task 1:

Distance= 750m= 0.75 km

Speed= 10 km/hr

Time taken1= S (distance)/ V (speed)= 0.75/10= 0.075 hr= 4 mins and 30 sec

Time taken for task 2:

t2=S/V= 20/85= 0.24 hr= 14 mins and 24 sec

Time taken for task 3:

t3= S/V = 5/14= 0.36 hr= 21 mins and 36 sec

Total time took:

T1 +T2+T3= 40 mins and 30 second (approximately)

Answer: 99,999

Step-by-step explanation:

Theresa and Raul have approximately $264,875.60 in equity in their house after making 120 monthly payments. Emon’s balloon payment at the end of 7 years is approximately $190,347.68.

Let’s calculate the equity that Theresa and Raul have in their house now:

1. Initial purchase price: $200,000

Down payment: 20% of $200,000 = $40,000

Loan amount: $200,000 - $40,000 = $160,000

2. Monthly interest rate: 6% / 12 months = 0.06 / 12 = 0.005

Number of monthly payments: 30 years * 12 months = 360 months

To calculate the monthly payment, we can use the formula for a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n – 1)

Where:

P = Loan amount = $160,000

R = Monthly interest rate = 0.005

N = Number of monthly payments = 360

Using this formula, we can calculate the monthly payment:

Monthly payment = $160,000 * 0.005 * (1 + 0.005)^360 / ((1 + 0.005)^360 – 1)

             ≈ $959.37

Now, let’s calculate the total amount paid over the 120 monthly payments:

Total amount paid = Monthly payment * Number of monthly payments

                = $959.37 * 120

                = $115,124.40

Finally, to calculate the equity, we subtract the total amount paid from the current house value:

Equity = Current house value – Total amount paid

      = $380,000 - $115,124.40

      = $264,875.60

Therefore, Theresa and Raul have approximately $264,875.60 in equity in their house now.

Now let’s calculate Emon’s balloon payment at the end of 7 years:

1. Loan amount: $280,000

2. Monthly interest rate: 2.9% / 12 months = 0.029 / 12 = 0.00242

Number of monthly payments: 7 years * 12 months = 84 months

To calculate the monthly payment, we can use the same formula as before:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n – 1)

Where:

P = Loan amount = $280,000

R = Monthly interest rate = 0.00242

N = Number of monthly payments = 360

Using this formula, we can calculate the monthly payment:

Monthly payment = $280,000 * 0.00242 * (1 + 0.00242)^84 / ((1 + 0.00242)^84 – 1)

             ≈ $1,125.32

Since the monthly payments are based on a 30-year amortization, at the end of 7 years, there will still be a remaining balance on the loan.

Remaining balance = Loan amount – (Monthly payment * Number of monthly payments)

                = $280,000 – ($1,125.32 * 84)

                ≈ $190,347.68

Therefore, Emon’s balloon payment at the end of 7 years would be approximately $190,347.68.

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Answer:

B: 3

Step-by-step explanation:

The expression would be 14m + 23 = 65.

14m + 23 - 23 = 65 - 23 =

14m = 42

14m ÷ 14 = 42 ÷ 14 =

m = 3

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Answer:

The chance of the committee being all boys is 28.57% or 29%

Answer/explanation:

a. The total float for the month can be calculated as follows:The delay for the larger check is 4 days, and the delay for the smaller check is 5 days, therefore the float is 4 + 5 = 9 days.The total float for the month is $14,400 ($11,000 + $3,400).Thus, the total float for the month is $14,400 for a period of 9 days.

b. The average daily float can be calculated as follows:Average daily float = Total float / Number of days in the periodAverage daily float = $14,400 / 30 daysAverage daily float = $480

Therefore, the average daily float is $480.

c-1. The average daily receipts can be calculated as follows:The total receipts for the month are $14,400, so the average daily receipts are:Average daily receipts = Total receipts / Number of days in the periodAverage daily receipts = $14,400 / 30 daysAverage daily receipts = $480

Therefore, the average daily receipts are $480.

c-2. The weighted average delay can be calculated as follows:Weighted average delay = (Delay for larger check * Amount of larger check + Delay for smaller check * Amount of smaller check) / Total amountWeighted average delay = (4 days * $11,000 + 5 days * $3,400) / $14,400Weighted average delay = $77,600 / $14,400Weighted average delay = 5.39 days (rounded to two decimal places)

Therefore, the weighted average delay is 5.39 days.

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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The time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

Given the exponential equation expressed as:

\(A=6500(1.0175)^{4t}\\\)

Given that A = 20100, Substituting into the expression will give;'

20100 = 6500(1.0175)^4t

20100/6500 = (1.0175)^4t

3.0923 =  (1.0175)^4t

Taking the ln of both sides

ln3.0923  = 4tln(1.1075)

4t = ln3.0923 /ln(1.1075)

4t = 1.12891/0.1021

4t = 11.05690

t = 11.05690/4

t = 2.76

t ≈ 3 years

Hence the time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years

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The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).

Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3

The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

Given:

f(x) = 4x² + 1 and g(x) = x² - 3

a) (f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

substitute the value of g(x) in the above equation, and we get

    = 4(x⁴ - 24x + 9) + 1

simplifying the above equation

    = 4x⁴ - 96x + 36 + 1

    = 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

      = 16x⁴ + 8x² + 1 - 3

simplifying the above equation

      = 16x⁴ + 8x² - 2

(g o f)(x) = 16x⁴ + 8x² - 2.

Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

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Answer:

c

Step-by-step explanation: