Write the explicit formula for the sequence below and use it to find the 47th term:
-3, 5, 13, 21, . . .

Answer:

About 20 - 19.75

Step-by-step explanation:

Answer:

19.75 cm

Step-by-step explanation:

Since l=4w, plug in 79 for l.

79=4w

79/4=19.75

w=19.75

The number of trials is typically represented by the letter "n" in statistics. This refers to the number of independent and identical observations that are taken during an experiment or study. The population proportion, on the other hand, is often represented by the letter "p".

This refers to the proportion or percentage of individuals in a population that exhibit a certain characteristic or behavior. For example, if we were studying the proportion of people who prefer chocolate ice cream, "p" would represent the percentage of people in the population who prefer chocolate ice cream.

It's important to note that the number of trials and the population proportion are both key factors in statistical analysis, as they can help researchers draw conclusions about the population as a whole based on a smaller sample size.

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Answer:

FIRST option

Step-by-step explanation:

mark me brainlist btw help my sum plsss

Greetings from Brasil

From radiciation properties:

\(\large{A^{\frac{P}{Q}}=\sqrt[Q]{A^P}}\)

bringing to our problem

\(\large{6^{\frac{1}{3}}=\sqrt[3]{6^1}}\)

The requried radical form of the given expression is ∛6.

Radical form is mathematical expression that represents the value under the nth roots.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Following the rule \(\sqrt[n]{x} = x^{1/n}\)
Similarly,
\(6^{1/3} = \sqrt[3]{6}\)

Thus, the requried radical form of the given expression is ∛6.

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Answer:

10x^2+6x^4-14x^3 is the answer

Answer:

10%

Step-by-step explanation:

La teneur en fruits de son cocktail est calculée comme suit:

25% de jus de pomme 0.2L + 50% de jus d'orange 0.1L

0.25 × 0.2 + 0.5 × 0.1

0.05 + 0.05

= 0.10

Conversion en pourcentage

= 0.10 × 100%

= 10%

Par conséquent, la teneur en fruits de son cocktail est de 10%

The agent must be designed to be able to navigate the hexagonal grid, identify when to push or pull a widget, and rotate in the appropriate direction to complete tasks. HExBOT is a term used to describe hexagonal robots designed to solve certain problems or perform specific tasks.

However, designing a HExBOT agent is not always easy, and there are several challenging aspects that must be considered when designing it. These include the hexagonal grid, the asymmetric cost of actions (pushing is more expensive than pulling a widget), and the rotation of the agent. The hexagonal grid is a challenging aspect of designing a HExBOT agent because it is not the traditional rectangular or square grid used in most robot designs. The hexagonal grid is more complex, and it requires the agent to be able to navigate through it while avoiding obstacles and staying on track.

Additionally, the hexagonal grid requires the agent to be able to rotate around a hexagon, which can be challenging for a robot designed for a rectangular grid.The asymmetric cost of actions is another challenging aspect of designing a HExBOT agent. Pushing a widget requires more energy and effort than pulling a widget, so the agent must be designed to take this into account. Additionally, the agent must be able to identify when it is more efficient to push or pull a widget, and it must be able to do so without wasting energy or time.

The rotation of the agent is also a challenging aspect of designing a HExBOT agent. The agent must be able to rotate around a hexagon, which is not always easy to do. Additionally, the agent must be able to identify when it needs to rotate and in which direction it needs to rotate to complete a task or avoid obstacles.In conclusion, designing a HExBOT agent can be challenging due to the hexagonal grid, the asymmetric cost of actions, and the rotation of the agent.

To overcome these challenges, the agent must be designed to be able to navigate the hexagonal grid, identify when to push or pull a widget, and rotate in the appropriate direction to complete tasks.

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12 will be opposite to 24. Then the number of the people are sitting at the table will be 24.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The several people are sitting evenly spaced around a circular table and the positions are labelled 1, 2, 3 and so on.

The people at positions 3 and 15 are directly opposite each other.

Then the number of the people are sitting at the table will be

1 is opposite to 13

2 is opposite to 14

3 is opposite to 15

Similarly, 12 will be opposite to 24.

Then the number of the people are sitting at the table will be 24.

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The function changes concavity without having a relative maximum or minimum, which is why the second derivative test is not valid for this function at x = 0.

The first derivative test is valid when the function is continuous and differentiable in the closed interval, while the second derivative test is valid when the function has a critical point and the second derivative is either positive or negative.

In some cases, the first derivative test is valid, but the second derivative test is not valid.

An example of such a case is when a function has a point of inflection.

In the case of a point of inflection, the first derivative test is valid because it can detect local maxima and minima. However, the second derivative test is not valid because the function changes concavity without having a relative maximum or minimum.

For instance, the function

f(x) = \(x^3\) has a point of inflection at x = 0.

The first derivative test can be used to determine that f(x) has a local minimum at x = 0, while the second derivative test is not applicable because the second derivative f"(x) = 6x is zero at x = 0.

Thus, the function changes concavity without having a relative maximum or minimum, which is why the second derivative test is not valid for this function at x = 0.

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Answer:

it increased 20 percent

Step-by-step explanation

The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.

Quartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.

The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.

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Seema left 6/11 of the book for reading over the weekend.

To calculate the part of the book left for reading during the weekend, we need to subtract the part of the book Seema read during the weekday from the total book.

If Seema reads 5/11 of the book during the weekday, then:

This means 6/11 of the book is left for reading during the weekend. It is important to note that the fraction of the book read during the weekday and the fraction left for reading during the weekend add up to the total book. This means that 11/11 of the book will be read by Seema in total.

This question should be written as:

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The required equation of line is x - 4y + 8 = 0, and graph is shown below.

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

Given that,

That line passes through the point (4, 3),

And the slope of the line is 1/2.

To determine the graph of the line,

First find equation of line,

By using formula of line that passes through point (x₁, y₁) and whose slope is m,

y - y₁ m (x - x₁)

Substitute the values here,

y - 3 = 1/4(x - 4)

4y - 12 = x - 4

x - 4y - 4 + 12 = 0

x - 4y + 8 = 0

The required equation is x - 4y + 8 = 0,

The graph of the equation of line is shown below.

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Answer:

1/6

Step-by-step explanation:

A dies has six sides

1,2,3,4,5,6

There is 1 three

P(3) = number of threes/ total numbers

      = 1 / 6

\((\stackrel{x_1}{10}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{10}}} \implies \cfrac{ 5 }{ -2 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{5}{2}}(x-\stackrel{x_1}{10}) \\\\\\ y-3=-\cfrac{5}{2}x+25\implies {\Large \begin{array}{llll} y=-\cfrac{5}{2}x+28 \end{array}}\)

Answer:

The answer is x = 2. To solve for x, divide both sides of the equation by 8 to get x = 16/8 = 2.

Step-by-step explanation:

Answer:

\(8x = 16 \\ x = 16 - 8 \\ x = 8\)

Hey there!

3(4y - 12) = 0

3(4y) + 3(-12) = 0

12y - 36 = 0

Add 36 to both sides

12y - 36 + 36 = 0 + 36

Cancel out: -36 + 36 because it give you 0

Keep: 0 + 36 because it help solve for the equation

New equation: 12y = 0 + 36

Simplify it

12y = 36

DIVIDE 12 to both sides

12y/12 = 36/12

Cancel out: 12/12 because that give you 1

Keep: 36/12 because it give you the y-value (also known as your overall result)

New equation: y = 36/12

Simplify it

y = 3

Therefore, your answer should be:

y = 3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The answer that you put is right

Answer:

Step-by-step explanation:

B

Answer:

1    x4 – 6x2 – 27 = 0

4    6(2x + 4)2 = (2x + 4) + 2

5   6x4 = -x2 + 5

Step-by-step explanation:

The student council sold $273$ t-shirts were sold at $\$10$ per shirt.

Let $x$ be the number of shirts sold at $\$10$

Let $y$ be the number of shirts sold at $\$12$

$x+y=661$

$10x+12y=3780$

$x=y+101$

$10y+12y=3780$

$22y=3780$

$y=172$

$x=172+101$

$x=273$

Hence $273$ t-shirts were sold at $\$10$ per shirt.

If they sold $661$ t-shirts in total, and they made a mistake when recording the amount of t-shirts sold at each price, then they actually sold more t-shirts at $\$10$ than they thought. This means that they thought they sold fewer t-shirts at $\$10$ than they actually did.

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Answer:

b = 8

Step-by-step explanation:

Use the Pythagorean theorem

c^2 = a^2 + b^2  

c = 10

a = 6

b = ?

Substitute into the formula

10^2 = 6^2 + b^2      

100 = 36 + b^2            Subtract 36 from both sides

100 - 36 = b^2             Combine

64 = b^2                      Take the square root of both sides.

√64 = √b^2

b = 8

The statement is False. At a significance level of alpha equal to .05, if your model has a p-value close to 0 for the overall f test, but none of the individual variables in the model have a p-value <0.05, then you do not have an issue with multi-collinearity. Therefore the given statement is false.

A p-value is a measure of the strength of evidence against the null hypothesis. The smaller the p-value, the stronger the evidence against the null hypothesis.

When the p-value is less than or equal to the significance level alpha, then we reject the null hypothesis. In general, when the overall F-test has a low p-value and none of the individual variables in the model have a p-value less than 0.05, it is an indication of multi-collinearity.

Multi-collinearity is a situation in which two or more independent variables in a multiple regression model are highly correlated with each other. It can lead to unstable estimates of the regression coefficients and make it difficult to interpret the results of the model.

In conclusion, at a significance level of alpha equal to .05, if your model has a p-value close to 0 for the overall f test, but none of the individual variables in the model have a p-value <0.05, then you do not have an issue with multi-collinearity. The statement is false.

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a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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The probability that you rolled a 5, given that the number rolled was greater than 3, is 1/3 or approximately 0.333.

We need to find the probability that you rolled a 5, given that the number rolled was greater than 3. Let's break this down step by step:

1. Identify the total number of outcomes: Since it is a 6-sided dice, there are 6 possible outcomes (1, 2, 3, 4, 5, and 6).

2. Determine the number of outcomes greater than 3: The outcomes greater than 3 are 4, 5, and 6. There are 3 possible outcomes that satisfy this condition.

3. Identify the number of outcomes that result in rolling a 5: There is only 1 outcome that results in rolling a 5.

4. Calculate the probability: To find the probability, divide the number of outcomes that result in rolling a 5 (1) by the total number of outcomes greater than 3 (3).

Probability = (Number of outcomes with a 5) / (Number of outcomes greater than 3) = 1/3

So, the probability that you rolled a 5, given that the number rolled was greater than 3, is 1/3 or approximately 0.333.

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The probability that the number rolled was a 5, given that it was greater than 3, is \($\frac{1}{3}$\).

The number rolled was greater than 3, it must be either a 4, 5, or 6.

The probability that the number rolled was a 5, given that it was greater than 3.

Let \($A$\) be the event that the number rolled is a 5 and let \($B$\) be the event that the number rolled is greater than 3.

Then, we want to find. \($P(A|B)$\), the probability of \($A$\) given \($B$\).

By Bayes' theorem, we have:

Bayes' theorem (alternatively Bayes' law or Bayes' rule), named after Thomas Bayes, describes the probability of an event, based on prior knowledge of conditions that might be related to the event.

The risk of developing health problems is known to increase with age, Bayes' theorem allows the risk to an individual of a known age to be assessed more accurately by conditioning it relative to their age, rather than simply assuming that the individual is typical of the population as a whole.

One of the many applications of Bayes' theorem is Bayesian inference, a particular approach to statistical inference.

The probabilities involved in the theorem may have different probability interpretations.

Bayesian probability interpretation, the theorem expresses how a degree of belief, expressed as a probability, should rationally change to account for the availability of related evidence.

Bayesian inference is fundamental to Bayesian statistics, being considered by one authority as; "to the theory of probability what Pythagoras's theorem is to geometry."

\($P(A|B) = \frac{P(B|A)P(A)}{P(B)}$\)

\($P(A) = \frac{1}{6}$\), since there is only one way to roll a 5 on a 6-sided die.

\($P(B) = \frac{3}{6} = \frac{1}{2}$\), since there are three outcomes (4, 5, or 6) that satisfy. \($B$\), out of a total of six possible outcomes.

\($P(B|A)$\), the probability of rolling a number greater than 3, given that the number rolled is a 5, note that. \($B$\) is true only if the number rolled is a 4, 5, or 6.

Since there is only one way to roll a 5, and only one of these three outcomes satisfies. \($A$\), we have:

\($P(B|A) = \frac{1}{1} = 1$\)

Substituting these values into Bayes' theorem, we get:

\($P(A|B) = \frac{P(B|A)P(A)}{P(B)} = \frac{1 \cdot \frac{1}{6}}{\frac{1}{2}} = \frac{1}{3}$\)

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You can find the angle θ in degrees between the calculated vector and the x-axis, measured counterclockwise from the x-axis.

To determine the angle θ in degrees between a calculated vector and the x-axis, measured counterclockwise from the x-axis, you can use trigonometry. The x-component and y-component of the vector are needed for this calculation.

Calculate the ratio of the y-component to the x-component of the vector:

y/x = tan(θ)

Use the inverse tangent function (arctan or atan) to find the angle θ:

θ = atan(y/x)

Convert the angle from radians to degrees by multiplying by 180/π:

θ_degrees = θ * (180/π)

By following these steps, you can find the angle θ in degrees between the calculated vector and the x-axis, measured counterclockwise from the x-axis.

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Answer:

erm

Step-by-step explanation:

4.41 times 10^-1

Answer:

4 hours

Explanation:

Mike can build a wall in 5 hours. His work rate is:

His son can do the job in 20 hours. The son's work rate is:

Let the time it takes both of them = x hours. Then, their joint rate is:

Therefore:

We solve the equation for x:

It takes them 4 hours to build a wall together.