1. Numbers arranged in a specific order factorial 2. An array of numbers 0! 3. A symbol for a sum Sigma 4. A series whose terms are formed by addition series 5. 1 combinations 6. A series whose terms are formed by multiplication geometric series 7. Symbol is ! permutation 8. A set of elements that does not consider order sequence 9. A study of likelihoods Pascal's triangle 10. A sum of numbers in a specific order probability 11. A set of elements in a specific order arithmetic series

Answer: ... am sorry but i cant help you if you dont have a question

Step-by-step explanation:

Hope someone helps ya out

Good Luck muah

Answer:

4y^4√3x^2y

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

The time it takes Ms. Croft to reach the cruise ship by speedboat = 6.11 hours

The time it takes Ms. Croft to reach the cruise ship by helicopter = 6.25 hours

since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

Step-by-step explanation:

The given parameters are;

The elapsed time by which Ms. Croft missed the boat = 5 hours

The speed of the cruise ship = 528 mi/day

The speed of the speedboat = 100 miles in 2.5 hours

The speed of the helicopter = 90 mph

The time it would take Ms. Croft to arrive at the harbor = 3.5 hours

Therefore, we have;

The cruise ship's speed = 528 miles per 24 hours = 528/24 mph = 22 mph

The location of the cruise after the first 5 hours = 5 × 22 = 110 miles

The speed of the speedboat = 100 miles per 2.5 hours = 100/2.5 = 40 mph

By traveling with a speed boat

The time at which Ms. Croft will intercept the cruise ship is given by the following relation;

40 mph × t = 22 mph × t + 110 miles

Which gives;

40 mph × t - 22 mph × t = 110 miles

18 mph = 110 miles

t = 110 miles/(18 mph) = 55/9 hours ≈ 6.11 hours

By taking the helicopter, we have;

Upon arrival at the harbor, after 3.5 hours, we find

90 mph × t = 22 mph × t + 22 mph × 3.5 hours + 110 miles

90 mph × t - 22 mph × t = 22 mph × 3.5 hours + 110 miles

68 mph × t = 77 miles + 110 miles = 187 miles

t = 187 miles/(68 mph) = 11/4 hours = 2.75 hours

The total time it takes Ms. Croft to reach the cruise ship by taking the helicopter = 3.5 + 2.75 = 6.25 hours

Therefore, since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

a) The explanatory variable in the study is the format of the stories presented to the four-year-olds: audio, illustrated, and animated. This variable is categorical because it involves distinct categories or formats.

b) The response variable in the study is the brain connectivity measured by the magnetic resonance imaging (MRI) machine. This variable is quantitative as it represents a numerical measurement of brain connectivity.

c) The study includes 27 four-year-olds as the observational units or individuals.

The study aimed to investigate the impact of different story formats on brain connectivity in four-year-olds. The explanatory variable, format, was categorized into three groups: audio, illustrated, and animated.

The response variable, brain connectivity, was measured using an MRI machine. The researchers found a "Goldilocks effect" in the brain connectivity, indicating that the audio format was associated with low brain connectivity, possibly due to the children straining to understand.

On the other hand, the animated format also resulted in low brain connectivity, suggesting that the animation did all the work for the children.

The highest brain connectivity, considered optimal, was observed with the illustrated format, which simulated the experience of reading a book to a child.

The study included 27 four-year-olds as the observational units, providing insights into the relationship between story format and brain connectivity in young children.

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Answer:

1.a

2.c

3.d

4.b

Step-by-step explanation:

The beaver populations fluctuate with time, which means that the population increases and decreases over time. Hence, the beaver population can be considered a function of time in years.

The beaver population can be thought of as a function of time in years because the population changes over time. As beavers reproduce, the population increases, while deaths or migration lead to a decrease in population. The population at any given time is a result of the interactions between birth rates, death rates, and migration rates.The main answer to this question is that beaver populations fluctuate with time, which means that the population increases and decreases over time.

There are different factors that cause these fluctuations, such as migration, birth rates, and death rates. These factors can be used to create a model to predict future population trends of the beavers. By developing a mathematical function that shows the population growth and decline over time, one can predict when the beaver population is likely to increase or decrease. Hence, the beaver population can be considered a function of time in years.

The beaver population can be considered a function of time in years because the population changes over time. Beaver populations are not static and fluctuate over time due to different factors such as birth rates, death rates, and migration rates. Therefore, it is essential to understand the different factors that influence beaver population changes to determine the population size at any given time. This understanding helps in developing a mathematical function that shows the growth and decline of the population over time.Beavers typically reproduce every year, which results in an increase in the population.

The death rate also affects the population size of the beavers, and there are different factors that lead to death, such as natural causes, disease, or predation. Migration is another factor that affects beaver populations. Beavers migrate to different areas based on food availability, shelter, and other factors. The migration of beavers to different areas leads to population changes in the region, and the population can increase or decrease depending on the migration rates and the number of beavers that move in or out of the region.

In conclusion, the beaver population is a function of time in years because the population size changes over time due to different factors such as birth rates, death rates, and migration rates. Understanding these factors can help develop a mathematical model to predict population growth and decline in the future. Therefore, it is essential to study the population dynamics of beavers to better understand the fluctuations and predict future population trends.

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Answer:

\(\frac{3}{2}\)

Step-by-step explanation:

To find the slope, we use the formula:

M = \(\frac{y2 - y1}{x2-x1}\)

So, plug in our numbers. For reference:

-2 = x1       2 = y1

0 = x2       5 = y2

2 = x3       8 = y3

After plugging in:

\(M = \frac{5 - 2}{0 - - 2} = \frac{3}{2}\)

Thus, your slope is \(\frac{3}{2}\).

Answer:

we will do this lesson in our class day after tomorrow

Step-by-step explanation:

well I don't know the answer

Answer:

2 days

Step-by-step explanation:

It takes four plumbers five days

total labor needed

4 * 5 = 20 days

How long would it take ten plumbers?

20 / 10 = 2 days

9514 1404 393

Answer:

  (6, 12)

Step-by-step explanation:

The center of the circle is the midpoint of the diameter, the average of the end point coordinates:

  ((3, 8) +(9, 16))/2 = (3+9, 8+16)/2 = (12, 24)/2 = (6, 12)

The center of the circle is (6, 12).

Answer:

id say d

Step-by-step explanation:

Answer:

\( y = x^2 -5x +6\)

And for this case we want to find the zeros or x interceps r and s so we want to rewrite the function on this way:

\( y = (x-r) (x-s)\)

The reason why we have two zeros is because the degree of the polynomial is 2. If we find two numbers that adding we got -5 and multiplied 6 we solve the problem. For this case the solution is r =3, s =2

\( y=(x -2)) (x-3)\)

Step-by-step explanation:

For this problem we have the following polynomial given:

\( y = x^2 -5x +6\)

And for this case we want to find the zeros or x interceps r and s so we want to rewrite the function on this way:

\( y = (x-r) (x-s)\)

The reason why we have two zeros is because the degree of the polynomial is 2. If we find two numbers that adding we got -5 and multiplied 6 we solve the problem. For this case the solution is r =3, s =2

\( y=(x -2)) (x-3)\)

Answer:

For a box of length L, width W, and height H, the volume is:

V = H*L*W

in this case, we have a piece of cardboard of dimensions 40in by 60 in.

If we cut squares of side length X in the corners and we fold the corners, we will have a height of X.

And we can define:

Length = 60in - X

Width = 40 in - X

Then the volume of the box will be:

V = X*(60in - X)*(40in  - X)

V = X^3 - 100in*X^2 + 2400in^2*X

We want to maximize this, then we need to find the zero of the first derivative.

We have that:

V' = 3*X^2 - 2*100in*X + 2400in^2

V' = 3*X^2 - 200in*X + 2400in^2

This is the equation we will use to maximize the volume of the box, but let's not end here, let's complete the problem and find the value of X and the maximum volume.

We want to solve:

V' = 0  = 3*X^2 - 200in*X + 2400in^2

For X.

Then we can use Bhaskara's formula, we will get that the solutions are:

\(X = \frac{-(-200in) +-\sqrt{(-200in)^2 - 4*3*(2400in)} }{2*3} = \frac{200in +- 105.8in}{6}\)

Then we have two possible solutions for X.

X = (200in + 105.8in)/6 = 50.97 in

But this is larger than the side of 40 in, so we can not cut this much, we can discard this option.

The other one is:

X = (200in - 105.8in)/3 = 15.7in

This seems correct.

Then the maximum volume of the box is:

V = 15.7in*(60in - 15.7in)*(40in - 15.7in) = 16,900.893 in^3

Answer:

you can use equations to find out how much tip you should give

1. 13n+15

2. 12n+18

3. 18n+12

Answer:

1.25÷12=9.6

12÷0.75=16

16÷9.6=1.6666667

Answer:

18/7

Step-by-step explanation:

x=reciprocal of 7/18

7/18 * x = 1 ==> the product of the reciprocal of a number and the number itself is one since the product of the numerator and the product of the denominator would be the same.

7x/18=1

7x/18 * 18=1*18

7x=18

7x/7=18/7

x=18/7

Answer:

1. x=0,y=-1

2. x=1 y=-4

3. x=2 y=-5

4. x=3 y=-4

5. x=4 y=-1

Step-by-step explanation:

\(y=x^{2} -4x-1\)

insert x

0

1

2

3

4

The solution set of the given square root problem is: x = -2 ± √108

The expression is given as:

¹/₄(x + 2)² = 27

The multiplication equality property states that if we take the square root of both sides, the equation remains equal to each other. Thus, multiplying both sides by 4 gives:

(x + 2)² = 108

The square root equality property states that if we take the square root of both sides, the equation remains equal to each other. Thus, taking square root of both sides gives:

x + 2 = ±√108

Thus:

x = -2 ± √108

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Data triangulation is a research method that involves using multiple data sources or methods to gather and analyze information, enhancing the validity and comprehensiveness of findings.

Data triangulation is a research method that involves using multiple sources or methods to gather and analyze data on a particular topic or research question. By combining different data sources, researchers aim to enhance the validity, reliability, and comprehensiveness of their findings.

Two real-world examples of data triangulation are:

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Using trigonometry, Suleiny can use the tangent function to approximate the height of One World Trade Center.

To approximate the height of One World Trade Center, Suleiny can use the measurements that she has to estimate the height. She is 2,500 feet from the base of the skyscraper, and the angle of elevation to the top of the skyscraper is 35°.      

The height of One World Trade Center can be estimated using trigonometry.Using trigonometry, Suleiny can use the tangent function to approximate the height of One World Trade Center. Tangent is defined as opposite over adjacent. In this case, the opposite side is the height of the building, and the adjacent side is the distance from Suleiny to the base of the building.Using the formula:Tan θ = Opposite / Adjacentθ is the angle of elevation (35°)Opposite is the height of the building (unknown)Adjacent is the distance from Suleiny to the base of the building (2,500 ft)So, Tan 35° = Opposite / 2,500Using a calculator, we can find that tan 35° is approximately 0.7002, so:0.7002 = Opposite / 2,500.

Solving for the unknown, we can multiply both sides by 2,500 to get:Opposite = 0.7002 × 2,500Opposite = 1,750.5Therefore, Suleiny can approximate the height of One World Trade Center as 1,750 feet, which is close to the actual height of the building, which is 1,776 feet.

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Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

\(\frac{4}{28}-\left(10+\left(3+1\right)x\cdot \:2\right)=-8x-\frac{69}{7}\)

A) The polynomial is:

f(x) = x^3 - 5*x^2 + 7x - 3

B) There are no breaks in the domain of the piecewise function.

We know that f(x) is a polynomial function with the zeros:

Then we can write the polynomial f(x) as:

f(x) = a*(x - 3)*(x - 1)*(x - 1)

Where a is the leading coefficient of the polynomial, which is not given in the problem.

Expanding that, we get:

f(x) = a*x^3 - a*5*x^2 + a*7x - a*3

That is the polynomial in the expanded form, where if we take a = 1, we get:

f(x) = x^3 - 5*x^2 + 7x - 3

B) h(x) is a piecewise function, such that the two domains are:

h(x) = f(x)     if x < 0

h(x) = g(x)    if x ≥ 0

Where g(x) = ∛(x - 4)

First, bot functions (polynomial and the cubic root) have the set of all real numbers as their domain, so the domain of the piecewise function is the set of all real numbers.

clearly, we can see that:

f(0) = -3

g(0) =  ∛(- 4)

So we will only have a jump at x = 0, but there are no breaks.

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The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

To determine the upper and lower control limits for the sample means, we can use the formula:

Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))

Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))

In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.

For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.

Given:

Mean = 2.0 litres

Standard Deviation = 0.01 litres

Sample size (n) = 5

Using the formula, we can calculate the upper and lower control limits:

UCL = 2.0 + (1.96 * 0.01 / sqrt(5))

LCL = 2.0 - (1.96 * 0.01 / sqrt(5))

Calculating the values:

UCL ≈ 2.0018 litres

LCL ≈ 1.9982 litres

Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997

Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.

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Answer:

domain: (–∞,∞)    or  all real numbers

range: (–∞,∞)       or  all real numbers

Step-by-step explanation:

domain is left to right (x-axis). looking at the graph, as you go from left to right, the x-values are infinitely getting more negative and positive.

range is bottom to top (y-axis). as you go from bottom to top, the y-values are infinitely getting more negative and positive.

To determine the loan amount Molly needs, subtract the down payment and cash allowance from the total cost of the car.

Loan amount = Total cost - Down payment - Cash allowance

To calculate Molly's monthly payment, use the Loan Calculator with the loan amount, loan term in months, and the APR of 1.9%.

To find the total interest paid, subtract the loan amount from the product of the monthly payment and the loan term.

To calculate the total cost of the car, add the down payment, cash allowance, loan amount, and total interest paid.

To calculate the loan amount Molly needs, we subtract the down payment and cash allowance from the total cost of the car. Let's assume the total cost is $X.

Loan amount = Total cost - Down payment - Cash allowance = X - $2500 - $500 = X - $3000.

To calculate Molly's monthly payment using the Loan Calculator and the 1.9% APR offer, we need to know the loan amount, the loan term in months, and the APR. Let's assume the loan term is Y months.

Using the Loan Calculator, we can determine the monthly payment based on the loan amount, loan term, and APR.

To calculate the total interest Molly will pay using this plan, we can multiply the monthly payment by the loan term in months and subtract the loan amount. This will give us the total interest paid.

Total interest = (Monthly payment * Loan term) - Loan amount.

To calculate the total cost of the car for Molly using this plan, we add the down payment, cash allowance, and the total interest paid to the loan amount.

Total cost = Loan amount + Down payment + Cash allowance + Total interest.

Please provide the values of X and Y to calculate the specific amounts.

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The limit of the Absolute value of the  rate is equal to 1, the rate Test is inconclusive.      

The confluence or divergence of the series

∑( n =  1 to  perpetuity)( 11n( n 6) ² ⋅ 6n 9),

we will use the rate Test.  The rate Test states that for a series

∑ aₙ, if the limit of the absolute value of the  rate of  consecutive terms is  lower than 1, the series converges absolutely.

However, the series diverges, If the limit is lesser than 1. still, the rate Test is inconclusive, and we need to consider other tests, If the limit equals 1 or the limit doesn't  live.  Let's apply the rate Test to the given series

 lim( n → ∞)|( aₙ ₊₁/ aₙ)|  where aₙ =  11n( n 6) ² ⋅ 6n 9.

To simplify the  computation, let's  estimate the  rate of  consecutive terms

|( aₙ ₊₁/ aₙ)| = |( 11( n 1)(( n 1) 6) ² ⋅ 6( n 1) 9)/( 11n( n 6) ² ⋅ 6n 9)|  

Simplifying  farther

( aₙ ₊₁/ aₙ)| = |( 11n 11)( n 7) ² ⋅ 6n 15/( 11n)( n 6) ² ⋅ 6n 9|  

Next, we take the limit as n approaches  perpetuity  

lim( n → ∞)|( aₙ ₊₁/ aₙ)| =  lim( n → ∞)|( 11n 11)( n 7) ² ⋅ 6n 15/( 11n)( n 6) ² ⋅ 6n 9|  

To  estimate this limit, we can simplify the expression inside the absolute value  lim( n → ∞)|( 11n 11)( n 7) ² ⋅

6n 15/( 11n)( n 6) ² ⋅ 6n 9|  =  lim( n → ∞)|( 11n 11)( n 7) ²/( 11n)( n 6) ²|  

Now, let's divide both the numerator and the denominator by n ²  

lim( n → ∞)|( 11 11/ n)( 1 7/ n) ²/( 11)( 1 6/ n) ²|  

Taking the limit as n approaches  perpetuity

lim( n → ∞)|( 11 11/ n)( 1 7/ n) ²/( 11)( 1 6/ n) ²|  = ( 11)( 1)( 1)/( 11)( 1)  =  1  

Since the limit of the absolute value of the  rate is equal to 1, the rate Test is inconclusive. thus, grounded on the rate Test, we know nothing about the confluence or divergence of the series. fresh tests,  similar as the Root Test or other confluence tests, may be  demanded to determine the behavior of the series.

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