Solve the following recurrence relations (a) [6pts] an = 3an-2, Q1 = 1, 42 = 2. b) [6pts] an = an-1 + 2n – 1,01 = 1, using induction (Hint: compute the first few terms, = pattern, then verify it).

The derivative of G(x) is cos(√x).

We can start by using the Fundamental Theorem of Calculus, which tells us that the derivative of G(x) is simply the integrand evaluated at x, i.e.,

G'(x) = cos(√x).

To see why this is true, we can define a new function f(t) = cos(√t) and rewrite G(x) in terms of this function:

G(x) = ∫₁ˣ cos(√t) dt = F(x) - F(1),

where F(x) is any antiderivative of f(x). Now, using the chain rule, we can take the derivative of G(x):

G'(x) = F'(x) - 0 = f(x) = cos(√x).

Therefore, the derivative of G(x) is cos(√x).

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The percentage of measurements which are below the 88th percentile could be expressed as 88%.

Therefore, percentage of measurement below the 88th percentile is 88%

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The values of a, b, c, and d, based on the given equation are:

\(a = 10\\b = 3\\c = -6\\d = -5\)

Let's calculate the values of a, b, c, and d based on the given table:

Using the equation \(y = x^2 - 4x - 2\), we can substitute the values of x and find the corresponding values of y:

For x = -3:

\(y = (-3)^2 - 4(-3) - 2 = 9 + 12 - 2 = 19\)

For x = -2:

\(y = (-2)^2 - 4(-2) - 2 = 4 + 8 - 2 = 10\)

For x = -1:

\(y = (-1)^2 - 4(-1) - 2 = 1 + 4 - 2 = 3\)

For x = 0:

\(y = (0)^2 - 4(0) - 2 = 0 - 0 - 2 = -2\)

For x = 1:

\(y = (1)^2 - 4(1) - 2 = 1 - 4 - 2 = -5\)

For x = 2:

\(y = (2)^2 - 4(2) - 2 = 4 - 8 - 2 = -6\)

For x = 3:

\(y = (3)^2 - 4(3) - 2 = 9 - 12 - 2 = -5\)

Now let's match these values with the table:

\(x , y = x^2 - 4x - 2\)

\(\[\begin{align*}(-3, 19) \\(-2, a) \\(-1, b) \\(0, -2) \\(1, -5) \\(2, c) \\(3, d) \\\end{align*}\]\)

From the given table, we have:

\(a = 10\\b = 3\\c = -6\\d = -5\)

Certainly! Here's a 100-word explanation of the given data:

The data provided consists of pairs of values, where the first column represents the x-values and the second column represents the y-values. Each row in the table corresponds to a data point. For instance, when x is \(-3\), the corresponding y-value is \(19\). Similarly, when x is \(-2\), the y-value is denoted as '\(a\)', and when \(x\) is -\(1\), the \(y\)-value is denoted as 'b'.

The pattern continues for the remaining data points, with specific values assigned to \(x \ and \ y\). This data set allows for the representation and analysis of relationships between the variables \(x \ and \ y\).

Therefore, the values of a, b, c, and d are:

\(a = 10\\b = 3\\c = -6\\d = -5\)

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Answer:

8% of 575 is 46

8% of 575 is 46

8% of 575 is 46

8% of 575 is 46

8% of 575 is 46

8% of 575 is 46

8% of 575 is 46

8% of 575 is 46

8% of 575 is 46

Intermediate models of integration differ from the enemies and allies models due to their approach in fostering collaboration and cooperation between different entities while maintaining a certain degree of autonomy and independence.

Intermediate models of integration, in contrast to enemies and allies models, aim to establish a framework where entities can work together while retaining their individual identities and interests. These models recognize that complete integration or isolation may not be the most optimal or feasible approaches. Instead, they emphasize the importance of collaboration and cooperation between different entities, such as organizations or countries, while respecting their autonomy.

In intermediate models of integration, entities seek to identify shared goals and interests, leading to mutually beneficial outcomes. They acknowledge the value of diversity and differences in perspectives, considering them as assets rather than obstacles. This approach encourages open communication, negotiation, and compromise to bridge gaps and find common ground. Rather than viewing other entities as adversaries or allies, the emphasis is on building relationships based on trust, transparency, and shared values.

Intermediate models of integration often involve the establishment of frameworks, agreements, or platforms that facilitate collaboration while allowing for flexibility and adaptation to changing circumstances. These models promote inclusivity, recognizing that integration can be a complex process that requires active participation from all involved entities. By combining the strengths and resources of different entities, intermediate models of integration strive to achieve collective progress and shared prosperity while acknowledging the importance of maintaining individual identities and interests.

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Answer:

uhm what? from how it looks its a multiplucation sign and 3 x 2 isnt 48 is 6 but 2 times 24 IS 48 and 3 times 16 IS 48

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

3 · x · 2 = 48

3 · 2 = 6

48 ÷ 6 = 8

3 · 8 · 6 = 48

Answer:

( -2,4) is the slope of this line

1. the gradient between (1,4) and (4,19) is:

(19 - 4) / (4 - 1) = 15 / 3 = 5

2. The gradient between (3,9) and (5,5) is:

(5 - 9) / (5 - 3) = -4 / 2 = -2

3. The gradient between (-3,4) and (-1,18) is:

(18 - 4) / (-1 + 3) = 14 / 2 = 7

(100,000 - 10,000) + 1 count for ( from 10,000 means 10,000 is included in it ) + 1 count for ( to 100,000 means 100,000 is also included in it )

= 90,000 + 1 + 1

= 90,002

Let's assume the number to be x.

According to the problem statement, the sum of a number and its reciprocal is 2 1/6 or 13/6.

So we can set up the equation:

x + 1/x = 13/6

Multiplying both sides by 6x, we get:

6x^2 + 6 = 13x

Bringing all the terms to one side, we get:

6x^2 - 13x + 6 = 0

We can solve for x using the quadratic formula:

x = [13 ± sqrt(13^2 - 4(6)(6))] / (2*6)

x = [13 ± sqrt(169)] / 12

x = [13 ± 13] / 12

So, x can be either 2/3 or 3/2. Therefore, the number is either 2/3 or 3/2.

When parking next to a curb, you may not park more than 12 inches away from the curb.

Curb parking refers to the practice of parking a car alongside the road, adjacent to the curb. It is a common method of parking in urban areas where designated parking spaces may be limited. When parking parallel to the road, vehicles are positioned with either the front or back bumper facing the direction of the road.

To ensure safe and efficient use of road space, there are regulations in place regarding curb parking. One important regulation is the requirement to park within a certain distance from the curb. In general, vehicles are not allowed to park more than 12 inches away from the curb.

The purpose of this regulation is to maintain an organized and orderly parking arrangement, allowing for the smooth flow of traffic and the safe passage of pedestrians. By parking close to the curb, vehicles minimize obstruction to other vehicles and ensure that the road remains clear for traffic.

It is essential for drivers to adhere to these parking regulations to avoid fines or penalties and to contribute to the overall safety and functionality of the road.

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Answer: it flew 1883 miles and average speed was about 50 miles per hour

Step-by-step explanation: to get 1883 you just add up 1282+601

Answer:

15?

Step-by-step explanation:

Answer:

− 5 + 5 =10 + 5

Solution:

The functions are given below as

Step 1:

To figure out the (h+k)(2), we will use the formula below

By substituting the values, we will have

Hence,

The final answer is

Step 2:

To figure out the (h-k)(3), we will use the formula below

By substituting the values, we will have

Hence,

The final answer is

Step 3:

To figure out the value of 3h(2) +2k(3), we will use the formula below

Hence,

The final answer is

Answer:

259.09 feet

Step-by-step explanation:

Given that,

The three sides of a triangular lot are measured to be 100.52 ft, 15.321 ft and 143.250 ft.

We need to find the perimeter of the lot.

We know that,

Perimeter = sum of all sides

P = 100.52 + 15.321 + 143.250

P = 259.09 feet

So, the required perimeter of the lot is 259.09 feet.

The length of the PACE book is 27.31 centimeters and the width is 20.96 centimeters.

The first step in converting the measurements of the PACE book from inches to centimeters is to understand the conversion factor. One inch is equal to 2.54 centimeters. To convert the length and width of the PACE book from inches to centimeters, we simply need to multiply each measurement by 2.54.

The length of the PACE book in inches is 10 3/4 inches. Converting this to centimeters, we multiply 10.75 by 2.54, which gives us 27.31 centimeters. Therefore, the length of the PACE book in centimeters is 27.31 centimeters.

The width of the PACE book in inches is 8 1/4 inches. Converting this to centimeters, we multiply 8.25 by 2.54, which gives us 20.96 centimeters. Therefore, the width of the PACE book in centimeters is 20.96 centimeters.

In summary, the length of the PACE book is 27.31 centimeters and the width is 20.96 centimeters.

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The approximate number of students with Scores between 68 and 83 is 98.Answer: a. 98

The five-number summary for scores on a statistics exam is: 35, 68, 77, 83 and 97. In all, 196 students took this exam About how many students had scores between 68 and 83?

The five-number summary consists of the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The interquartile range is the difference between the third and first quartiles. Interquartile range (IQR) = Q3 – Q1, where Q3 is the third quartile and Q1 is the first quartile. The 5-number summary for scores on a statistics exam is given below:

Minimum value = 35

First quartile Q1 = 68

Median = 77

Third quartile Q3 = 83

Maximum value = 97

The interval 68–83 is the range between Q1 and Q3.

Thus, it is the interquartile range.

The interquartile range is calculated as follows:IQR = Q3 – Q1 = 83 – 68 = 15

The interquartile range of the scores between 68 and 83 is 15. Therefore, the number of students with scores between 68 and 83 is roughly half of the total number of students. 196/2 = 98.

Thus, the approximate number of students with scores between 68 and 83 is 98.Answer: a. 98

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Answer:

both y --> -∞

Step-by-step explanation:

1. x--> -∞

=> x-1 --> -∞

=> |x-1| --> ∞

=> - |x-1| --> -∞

=> y --> -∞

2. x --> ∞

=> x-1 --> ∞

=> |x-1| --> ∞

=> -|x-1| --> -∞

=> y --> -∞

Charles Horton Cooley and George Herbert Mead both contributed to the understanding of self-development, but their theories differ in terms of the primary influence on the formation of self.

Cooley's theory emphasizes the role of social interactions and the "looking-glass self," while Mead's theory focuses on the significance of language and symbolic interaction. Charles Horton Cooley's theory of self-development revolves around the concept of the "looking-glass self." Cooley argued that individuals develop their sense of self through social interactions and feedback from others.

According to Cooley, people imagine how they appear to others and interpret their reactions, forming their self-perception based on these social reflections. The looking-glass self emphasizes the influence of social relationships and the perception of others in shaping one's identity.

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The formula for the slant height (l) of a right square pyramid can be obtained by rearranging the surface area formula. The formula is l = √((S - q^2) / 2a), where S represents the surface area, q is the length of the base, and a is a constant factor.

To solve for the formula of the slant height (l), we start with the given formula for the surface area of a right square pyramid, which is S = q^2 + 2al. We want to isolate the variable l, so we rearrange the equation.

First, we subtract q^2 from both sides of the equation: S - q^2 = 2al.

Next, we divide both sides of the equation by 2a: (S - q^2) / (2a) = l.

This gives us the formula for the slant height (l) in terms of the surface area (S), the base length (q), and the constant factor (a): l = √((S - q^2) / 2a).

By substituting the known values of S, q, and a into this formula, you can calculate the slant height (l) of a right square pyramid.

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Answer:

r = -1

Step-by-step explanation:

This is the answer because:

1) You can take the root of both sides and solve

2) You can also isolate the variable and solve for it

1. r9 + 1 = 0, divide 9 and 0 first. 9 x 0 = 0

2. r + 1 = 0, subtract 0 and 1. 0 - 1 = -1

Hope this helps!

The vectors ⃗1, ⃗2, and ⃗3 do not form a basis for ℝ³ because they are linearly dependent, meaning one vector can be expressed as a linear combination of the others.


To determine whether the vectors ⃗1, ⃗2, and ⃗3 form a basis for ℝ³, we need to check if they are linearly independent and if they span ℝ³.
First, let’s check for linear independence. If the vectors are linearly independent, then no vector can be written as a linear combination of the other vectors. We can check this by forming a matrix with the given vectors as columns and performing row reduction to check for linear dependence.
⎡⎣⎢⎢3 -5 0⎤⎦⎥⎥
⎢⎣⎢⎢-15 -4 0⎤⎦⎥⎥
⎢⎣⎢⎢20 0 0⎤⎦⎥⎥
Performing row reduction on this matrix, we obtain:
⎡⎣⎢⎢1 -1 0⎤⎦⎥⎥
⎢⎣⎢⎢0 -9 0⎤⎦⎥⎥
⎢⎣⎢⎢0 0 0⎤⎦⎥⎥
The row reduction process results in a row of zeros, indicating that the third vector is a linear combination of the first two. Therefore, the vectors ⃗1, ⃗2, and ⃗3 are linearly dependent, and hence they do not form a basis for ℝ³.
To summarize, the vectors ⃗1, ⃗2, and ⃗3 form a basis for ℝ³ if and only if they are linearly independent, which is not the case in this scenario.

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Answer: C

Step-by-step explanation:

13-3=10

Answer:

B

Step-by-step explanation:

just took it

The probability that point will lies in blue region is 39 %.

Option B is correct.

The area of the blue region is computed as,

               Area\(=\frac{1}{4} *3.14*100=78.5\)

The area of rectangle is computed as;

             Area = length * width

             Area = 20 * 10 = 200

When a point is randomly selected from the rectangular area of the graph, then the probability that it will be in the blue region,

        \(P(E)=\frac{78.5}{200} \\\\P(E)=0.3925\\P(E)=0.3925*100=39.25\%\)

Hence, the probability that point will lies in blue region is 39 %.

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Answer:

Area = 2x^2 + 14x + 24

Step-by-step explanation:

You could set up an expression (2x + 8) * (x + 3), where you multiply 2x by x, 2x by 3, 8 by x, 8 by 3, and then add them all up. 2x * x  = 2x^2, 2x * 3 = 6x, 8 * x = 8x, and 8 * 3 = 24. 2x^2 + 6x + 8x + 24 = 2x^2 + 14x + 24, so that is your answer.

The definite integral for the area of the surface generated by revolving the curve y = 6x^3 + 2x about the x-axis, over the interval 1 ≤ x ≤ 2, can be set up and evaluated as follows:

∫[1 to 2] 2πy √(1 + (dy/dx)^2) dx

To calculate dy/dx, we differentiate the given equation:

dy/dx = 18x^2 + 2

Substituting this back into the integral, we have:

∫[1 to 2] 2π(6x^3 + 2x) √(1 + (18x^2 + 2)^2) dx

Evaluating this definite integral will provide the surface area generated by revolving the curve about the x-axis.

b) The definite integral for the area of the surface generated by revolving the curve x = 4y - 1 about the y-axis, over the interval 1 ≤ y ≤ 4, can be set up and evaluated as follows:

∫[1 to 4] 2πx √(1 + (dx/dy)^2) dy

To calculate dx/dy, we differentiate the given equation:

dx/dy = 4

Substituting this back into the integral, we have:

∫[1 to 4] 2π(4y - 1) √(1 + 4^2) dy

Evaluating this definite integral will provide the surface area generated by revolving the curve about the y-axis.

By setting up and evaluating the definite integrals for the given curves, we can find the surface areas generated by revolving them about the respective axes. The integration process involves finding the appropriate differentials and applying the fundamental principles of calculus.

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Answer:

3/4

Step-by-step explanation:

Took the test on edge.

Answer:

B.

3/4

Step-by-step explanation:

Edge2021 ;)

Answer:

kgr5igv%6ovdr

Step-by-step explanation:

g7id24ohswegbj see ohsd