The Nth term of a sequence is 3n^2/2
a) what is the second term of the sequence?
b) what is the fifth term sequence?
c) which term in the sequence is the first to have a value higher than 50?
Please help

Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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Side=3cm

\(\\ \tt\longmapsto Area=(side)^2\)

\(\\ \tt\longmapsto Area=3^2\)

\(\\ \tt\longmapsto Area=9cm^2\)

Step-by-step explanation:

Solution,

Length of the square = 3 cm

Now,

We know that,

Area of the square is given by,

A=l²

=(3cm)²

=3cm×3cm

=9cm²

Hence, the area of the square ABCD is 9cm².

Kuta Software - Infinite Algebra 1 is an educational tool that focuses on providing students with algebra 1 exercises. The software includes a range of topics that cover the fundamentals of algebra 1. One of the topics that the software covers is Adding and Subtracting Polynomials. Adding Polynomials involves combining like terms.

In the case where the polynomials are in descending order, students can start adding or subtracting their respective terms. Similarly, if the polynomials are in ascending order, the students should start with the terms with the highest degree and work their way down. Adding polynomials is relatively easy since it involves combining like terms.

However, when it comes to subtracting polynomials, the process becomes a bit more complicated. The subtraction of polynomials involves changing the sign of the terms to be subtracted. To be able to do this, students can first distribute a negative sign throughout the polynomial, then follow the same procedure they would have followed when adding polynomials to combine like terms.

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Adding and subtracting polynomials in Algebra involves combining or subtracting like terms. For practice, Kuta Software provides various activities. An example is given to demonstrate the process.

Adding and subtracting polynomials is a key concept within the subject of Algebra 1. Kuta Software is a common educational platform that offers a variety of activities for practicing this skill. In essence, to add or subtract polynomials, you combine or subtract like terms, which are terms with the same variable and exponent. For example, if you were to add the polynomials 3x^2 + 2x and 5x^2 - 2x, you would combine the x^2 terms and the x terms separately, resulting in (3x^2 + 5x^2) + (2x - 2x), which simplifies to 8x^2.

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Step-by-step explanation:

To find the value of x, we need to isolate it on one side of the equation.

First, we can subtract 3 from both sides:

8x + 3 - 3 = 14 - 3

This simplifies to:

8x = 11

Next, we can divide both sides by 8:

8x/8 = 11/8

This gives us:

x = 11/8

So the value of x that will get us to 14 is 11/8.

Hope this helps

Answer:

Step-by-step explanation: 56

Answer:

130 is correct

Step-by-step explanation:

Discouraging consumers from purchasing products from an insurer is referred to as "consumer dissuasion." It involves implementing strategies or tactics to dissuade potential customers from choosing a particular insurance company or its products.

Consumer dissuasion is a practice employed by insurers to discourage consumers from selecting their products or services. This strategy is often used to manage risk by discouraging individuals or groups that insurers perceive as having a higher likelihood of filing claims or incurring higher costs. Insurers may employ various techniques to dissuade potential customers, such as setting higher premiums, imposing strict eligibility criteria, or offering limited coverage options. The purpose of consumer dissuasion is to selectively attract customers who are deemed less risky or more profitable for the insurer, thereby ensuring a healthier portfolio and reducing potential losses. By implementing strategies that discourage certain segments of the market, insurers can manage their risk exposure and maintain profitability. It is important to note that consumer dissuasion practices should adhere to applicable laws and regulations governing the insurance industry, including fair and transparent practices. Insurers are expected to provide clear and accurate information to consumers, enabling them to make informed decisions about insurance coverage and products.

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At least 89% of the data falls between 2.52 and 18.72 cents per kilowatt-hour.

This problem can be solved using the concept of Chebyshev's inequality law and according to this law when the value of K is equal to 2 then 75% of the data lies within two standard of the mean value and also when the value of K is equal to 3 then 89% of the data lies within three standard deviations of the mean value.

According to the question the Mean = 10.62 cents per kW-h

and the Standard deviation = 2.70 cents per kW-h

According to the inequality we have three standard deviations below the mean vale will be

10.62 - 3(2.70) = 2.52 cents per kW-h

and three standard deviations above the mean value will be

10.62 + 3(2.70) = 18.72 cents per kW-h

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Answer:

Area = 153.8 cm/ m

Step-by-step explanation:

Area of circle = 22 ÷ 7 × r²

= 22 ÷ 7 × (7²)

= 22 ÷ 7 × 49

= 3.14 × 49

= 153.8 cm/ m

Answer:

80 degrees

Step-by-step explanation:

an triangle has 180 degress 30 is for angle A so you have 150 left if you put 70 degrees for angle b then you 80 degrees left for angle c. 30+70+80=180

Answer:

y=18.5x

Step-by-step explanation:

get 55.5/3=18.5

y=18.5x

habusbgsbiqnwksisnhsvqjuq

Answer:

y = 2x - 3

Step-by-step explanation:

Take any two points from the graph

(0,-3)   & (2 ,1)

Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

         \(= \frac{1-[-3]}{2-0}\\\\= \frac{1+3}{2}\\\\= \frac{4}{2}\\\\= 2\)

m = 2

\(y - y_{1}=m(x -x_{1})\\\\y - [-3] = 2(x - 0)\\\\y + 3 = 2x\\\\y = 2x - 3\)

x = 245/5 x = 49, the length of the side LN is 49 cm.

The sides of the triangles ABC and LMN are proportional due to their similarity. Let's call the length of the LN side x cm.

We are able to establish the proportion based on the similarity as follows:

When we plug in the given values, we get AB/LM = AC/LN:

5/35 = 7/x We can cross-multiply and solve for x to get x:

When we divide both sides by 5, we get: 5x = 7 * 35 5x = 245

Since x = 245/5 x = 49, the length of the side LN is 49 cm.

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We use contraposition to show that if x + y ≥ 2, where x and y are real numbers, then x ≥ 1 or y ≥ 1.

Step 1: Understand the original statement
The original statement is: If x + y ≥ 2, then x ≥ 1 or y ≥ 1.

Step 2: Write the contrapositive statement
The contrapositive statement is: If x < 1 and y < 1, then x + y < 2.

Step 3: Prove the contrapositive statement
Assume that x < 1 and y < 1 (our contrapositive statement).
Now we need to show that x + y < 2.

Since x < 1 and y < 1, we can add these two inequalities:
x < 1
y < 1
---------
x + y < 1 + 1

Therefore, x + y < 2.

Step 4: Conclusion
Since we have proven the contrapositive statement, the original statement is also true.

So, if x + y ≥ 2, where x and y are real numbers, then x ≥ 1 or y ≥ 1.

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a. The mean is 569.5 minutes and the standard deviation is approximately 8.7366 minutes. b. The probability that a flight arrives late (later than 9:25 am) is approximately 0.68.

What is probability?

Probability is a measure or quantification of the likelihood or chance of an event occurring. It is a way to express the uncertainty associated with a particular outcome or set of outcomes in a given situation.

a. To calculate the mean and standard deviation of the continuous uniform distribution, we first need to convert the time data to a minute scale.

Early arrival time: 9:17 am = 9 * 60 + 17 = 557 minutes

Late arrival time: 9:42 am = 9 * 60 + 42 = 582 minutes

The continuous uniform distribution is defined by the following formula:

Mean (μ) = (early arrival time + late arrival time) / 2

Standard Deviation (σ) = (late arrival time - early arrival time) / √12

Plugging in the values:

Mean (μ) = (557 + 582) / 2 = 569.5 minutes

Standard Deviation (σ) = (582 - 557) / √12 ≈ 8.7366 minutes (rounded to 4 decimal places)

Therefore, the mean is 569.5 minutes and the standard deviation is approximately 8.7366 minutes.

b. To calculate the probability that a flight arrives late (later than 9:25 am), we need to find the area under the probability density function (PDF) curve beyond 9:25 am.

Since the distribution is continuous uniform, the PDF is a rectangle with a base of (late arrival time - early arrival time) = 582 - 557 = 25 minutes and a height of 1/(late arrival time - early arrival time).

The probability of a late arrival can be calculated as:

Probability of late arrival = (late arrival time - 9:25 am) / (late arrival time - early arrival time)

Converting 9:25 am to minutes: 9 * 60 + 25 = 565 minutes

Probability of late arrival = (582 - 565) / (582 - 557)

= 17 / 25 ≈ 0.68 (rounded to 2 decimal places)

Therefore, the probability that a flight arrives late (later than 9:25 am) is approximately 0.68.

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Answer:

The answer is No Solution I think

Step-by-step explanation:

Answer:

1/27

Step-by-step explanation:

The outcomes when rolling a die are 1,2,3,4,5,6

getting less than 3 = 1,2

P( less than 3) = outcomes of less than 3 / total

                        = 2/6 = 1/3

Since the events are independent we can multiply the probabilities

P( less than 3, less than 3, less than 3) = 1/3 * 1/3*1/3 = 1/27

Answer:

Fraction form: x= 43/4

Decimal form: x= 10.75

Mixed number form: x= 10 3/4

Step-by-step explanation:

Hope this helps!

Note: This is based off what you put for number 6.

The velocity of the particle at time t is given as v(t) = \(-2t^2\) - 16t - 20, 0 ≤ t ≤ 10

Integrate the given acceleration function to know the velocity of the particle at time t

a(t) = -4t - 16

integrate with respect to t

v(t) = \(-2t^2\) - 16t - 20

For 0 ≤ t ≤ 10, the velocity is

v(t) =\(-2t^2\)- 16t - 20, 0 ≤ t ≤ 10

To find the total distance traveled by the particle, integrate the absolute value of the velocity function over the interval [0, 10]

distance = ∫\(|v(t)| dt\), 0 ≤ t ≤ 10

Since the velocity is negative for t < 5 and positive for t > 5, split the integral into two parts:

distance = ∫\(|v(t)| dt\), 0 ≤ t ≤ 5 + ∫\(|v(t)| dt,\) 5 ≤ t ≤ 10

For 0 ≤ t ≤ 5, the absolute value of the velocity is:

\(|v(t)| = |-2t^2 - 16t - 20|\)

= \(2t^2\) + 16t + 20

distance = ∫(\(2t^2\) + 16t + 20) dt, 0 ≤ t ≤ 5

distance = [\(2/3 t^3 + 8t^2 + 20t]0^5\)

distance = 276.67 m

For 5 ≤ t ≤ 10, the absolute value of the velocity is:

\(|v(t)| = |-2t^2 - 16t - 20| \\= 2t^2 + 16t + 20\)

distance = ∫(\(2t^2\) + 16t + 20) dt, 5 ≤ t ≤ 10

distance = \([2/3 t^3 + 8t^2 + 20t]5^10\)

distance = 426.67 m

So, the total distance traveled by the particle is:

distance = 276.67 m + 426.67 m

= 703.34 m

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The number of radians that the minute hand of a clock passes through if it has a length of 5 inches and its tip travels a distance of 13 inches is 2.6 radians.

We have to determine the number of radians that the minute hand of a clock passes through if it has a length of 5 inches and its tip travels a distance of 13 inches.

Therefore, the angle that the minute hand passes through is the angle of the triangle formed by the two sides of the minute hand and the distance traveled by the tip of the minute hand.

Length of the minute hands(r) = 5 inches

Tip Travels a total distance = 13 inches

Length of the arc(l) = 13 inches

According to the formula

l = r × θ

Divide by r on both side, we get

θ = l/r

Now putting the value

θ = 13/5

θ = 2.6 radians

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Answer:

please include an image for the question

The factor form of the quadratic equations are listed below:

Case 13: (b - 4) · (b - 2)

Case 14: (n + 4) · (n + 2)

Case 15: 2 · (n + 9) · (n - 6)

Case 16: 5 · (n + 2)²

Case 17: 2 · (k + 5) · (k + 6)

Case 18: (a - 10) · (a + 9)

Case 19: (p + 10) · (p + 1)

Case 20: 5 · (v - 2) · (v - 4)

Case 21: 2 · (p + 2) · (p - 1)

Case 22: 4 · (v - 2) · (v + 1)

Case 23: (x - 10) · (x - 15)

Case 24: (v - 5) · (v - 2)

Case 25: (p + 6) · (p - 3)

Case 26: 6 · (v + 10) · (v + 1)

In this problem we find quadratic equations of the form a · x² + b · x + c, whose factor form is introduced below:

a · x² + b · x + c = a · x² + a · (- r₁ - r₂) · x + a · r₁ · r₂ = a · (x - r₁) · (x - r₂)

Where r₁, r₂ are real roots.

Now we proceed to present the factor form of each quadratic equation:

Case 13

b² - 6 · b + 8 = (b - 4) · (b - 2)

Case 14

n² + 6 · n + 8 = (n + 4) · (n + 2)

Case 15

2 · n² + 6 · n - 108 = 2 · (n² + 3 · n - 54) = 2 · (n + 9) · (n - 6)

Case 16

5 · n² + 10 · n + 20 = 5 · (n² + 2 · n + 4) = 5 · (n + 2)²

Case 17

2 · k² + 22 · k + 60 = 2 · (k² + 11 · k + 30) = 2 · (k + 5) · (k + 6)

Case 18

a² - a - 90 = (a - 10) · (a + 9)

Case 19

p² + 11 · p + 10 = (p + 10) · (p + 1)

Case 20

5 · v² - 30 · v + 40 = 5 · (v² - 6 · v + 8) = 5 · (v - 2) · (v - 4)

Case 21

2 · p² + 2 · p - 4 = 2 · (p² + p - 2) = 2 · (p + 2) · (p - 1)

Case 22

4 · v² - 4 · v - 8 = 4 · (v² - v - 2) = 4 · (v - 2) · (v + 1)

Case 23

x² - 15 · x + 50 = (x - 10) · (x - 15)

Case 24

v² - 7 · v + 10 = (v - 5) · (v - 2)

Case 25

p² + 3 · p - 18 = (p + 6) · (p - 3)

Case 26

6 · v² + 66 · v + 60 = 6 · (v² + 11 · v + 10) = 6 · (v + 10) · (v + 1)

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The singular value decomposition is a factorization of a matrix into three separate matrices. It has many applications in various fields, including data compression, image processing, and machine learning.

To find the singular value decomposition (SVD) of the given matrix, let's go through the steps:

1. Begin with the given matrix:
  1 1
  -1 1
  -1 1

2. Calculate the transpose of the matrix by interchanging rows with columns:
  1 -1 -1
  1 1 1

3. Multiply the matrix by its transpose:
  1 -1 -1    1
  1 1 1      1
  -1 1 1     -1

4. Calculate the eigenvalues and eigenvectors of the resulting matrix. This step involves finding the values λ that satisfy the equation A * v = λ * v, where A is the matrix.

5. Normalize the eigenvectors obtained in step 4 to obtain orthonormal eigenvectors.

6. The singular values are the square roots of the eigenvalues.

7. Create the matrix U by taking the orthonormal eigenvectors obtained in step 5 as columns.

8. Create the matrix Σ by arranging the singular values obtained in step 6 in a diagonal matrix.

9. Create the matrix V by taking the normalized eigenvectors obtained in step 5 as columns.

10. Finally, write the answer in the form of SVD: A = U * Σ * \(V^T\), where U, Σ, and \(V^T\) represent the matrices from steps 7, 8, and 9 respectively.

To find the singular value decomposition (SVD) of a matrix, we need to perform several steps. These include finding the eigenvalues and eigenvectors of the matrix, normalizing the eigenvectors, calculating the singular values, and creating the matrices U, Σ, and V. The SVD provides a way to factorize a matrix into three separate matrices and has many practical applications.

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Answer:

82 inches squared

Step-by-step explanation:

7*3*2 = 42

7*2*2 = 28

3*2*2 = 12

42 + 28 + 12 = 82

Answer:

29.5735296 cc = 1 oz

Answer:

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article. There are three main forms of linear equations.

Step-by-step explanation:

Answer:

green?

Step-by-step explanation:

Answer:

Step-by-step explanation:

A root or a zero of a polynomial are the value(s) of X that cause the polynomial to = 0 (or make Y=0). It is an X-intercept. The root is the X-value, and zero is the Y-value. It is not saying that imaginary roots = 0.

Answer:

x = 4

x = -5

I have made it in above picture

hope it helps

The plant are growing at the same rate per day is given by equation 1\(y=\frac{3}{2}x +\frac{3}{2}\) and equation 4 \(y = \frac{3}{2}x+1\) i.e because they have same slope(rate of change )

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one item by the equal amount of change in another.

The plant are growing at the same rate per day is given by equation 1\(y=\frac{3}{2}x +\frac{3}{2}\) and equation 4 i.e \(y = \frac{3}{2}x+1\)

because they have same slope(rate of change )

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