A region is enclosed by the equations below. T y = cos(62), y = 0, = 0 L = 12 Find the volume of the solid obtained by rotating the region about the line y = 1. |ت 3 X It may be useful to use the identity cas (8) + cos (28) 2 Submit Question A region is enclosed by the equations below. y 22, I = 4, y = 0 Find the volume of the solid obtained by rotating the region about the y-axis. 10247 5 X Submit Question A region is enclosed by the equations below. Find the volume of the solid obtained by rotating the region about the line y = 1. = y = 1, = I = 0 71 9 х

Answer:

NK

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

Answer:n=85

Step-by-step explanation:

Answer:

Your answer is n = 85

Step-by-step explanation:

4n = 400 - 60

4n = 340

n = 340 / 4

n = 85

Hope this helps!

In data analysis for the first three research questions, various methods, and statistical tests can be employed. For question 1.3b, a t-test or analysis of variance (ANOVA) can be used to compare means between different groups. The literature review process supports data analysis by providing theoretical frameworks, identifying relevant variables and measures, and guiding the selection of appropriate statistical methods.

For research question 1.3a, where the aim is to examine the relationship between variables, a correlation analysis using Pearson's correlation coefficient can be employed. This statistical test measures the strength and direction of the linear relationship between two continuous variables. The decision to use correlation analysis is guided by the statistical decision tree, which considers the nature of the variables and the research objective.

For research question 1.3b, which involves comparing means between different groups, a t-test or analysis of variance (ANOVA) can be used. A t-test is appropriate when comparing means between two groups, while ANOVA is suitable for comparing means among multiple groups. These tests assess whether there are significant differences in the means and help make inferences about population parameters.

For research question 1.3c, which focuses on exploring the relationship between variables and making predictions, regression analysis is a suitable method. It allows for the examination of the relationship between one dependent variable and one or more independent variables, providing insights into the direction and magnitude of the relationships.

The literature review process supports data analysis in two main ways. Firstly, it helps in the selection of relevant variables and measures by providing insights into established theories and concepts. It ensures that the chosen variables align with the existing body of knowledge. Secondly, the literature review guides the selection of appropriate statistical methods by highlighting previous studies that have used similar approaches. It helps researchers avoid reinventing the wheel and ensures that the chosen methods are aligned with established practices in the field.

Evidence-based recommendations are made from a research project by synthesizing the findings, analyzing the results, and drawing conclusions based on the available evidence. This involves critically examining the data, considering limitations and biases, and interpreting the results in the context of the research objectives. The recommendations are then formulated based on the robustness and reliability of the findings, taking into account the practical implications and potential impact on the target audience. The evidence-based approach ensures that decisions are informed by rigorous research and increases the likelihood of producing effective and efficient outcomes.

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Answer:

2x=10

x=5

Step-by-step explanation:

If the contribution margin from the order is greater than the additional fixed expenses, accepting the special order can result in an increase in operating income.

When evaluating a special sales order, the first step is to calculate the revenue from the order. This is typically based on the selling price and the quantity of units to be sold. Then, the variable expenses directly associated with fulfilling the order, such as direct materials, direct labor, and variable manufacturing overhead, are deducted from the revenue to determine the contribution margin.

Next, the additional fixed expenses that would be incurred if the special order is accepted need to be considered. These expenses are typically costs that are directly related to the production or fulfillment of the order and are not already included in the existing fixed expenses.

To assess the impact of the special order on operating income, the increase (or decrease) in operating income is calculated by subtracting the additional fixed expenses from the contribution margin. If the result is positive, it indicates that accepting the special order would lead to an increase in operating income.

In the given scenario, it is mentioned that Cotton has excess capacity to manufacture the special order. If the incremental analysis shows that the special order would result in a positive increase in operating income, it would be beneficial for Cotton to accept the special sales order.

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Answer:

A. Yes

B. No

C. No

D. The graph of the equations is attached

x = 2

Step-by-step explanation:

A. Yes, she will get the same solution

Given the solution is based on the two solutions, the solution will be the same for all algebraic methods used

B. No, the answer in A does not change

A system of two equations in two unknowns with no solution is an inconsistent system of equations and there should be no solutions for all correct algebraic methods used

C. No, the answer in A does not change

If there are infinitely many solutions, there will be infinitely many solutions for all correct algebraic methods used

D. The graph of the equations;

y = 2·x + 4...(1) and y = 3·x + 2.....(2) is attached

Subtracting equation (1) from equation (2), we have;

3·x + 2 - (2·x + 4) = y - y = 0

x - 2 = 0

∴ x = 2

The graphs of the two equations also intersect at x = 2.

The two congruent triangles that share the side AC are (c) △ADC and △CFA

For two triangles to share the sides AC, then the points A and C must appear on the names of the triangles

In option (c), we have A and C in the names of the triangles ADC and CFA

Hence, the two congruent triangles that share the side AC are (c) △ADC and △CFA

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Answer:

C

Step-by-step explanation:

to find the slope 5-4/-4-0 = 1/-4

Answer:

A

Step-by-step explanation:

Answer:

c (100)

Step-by-step explanation:

on edg 2021 ^u^

The width of the tower at the top will be 92 m. Then the correct option is B.

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

A cooling tower is 120 meters tall.

The sides of the tower are in the shape of a hyperbola defined by the equation x²/500 – y²/900 = 1 with units in meters.

The center of the tower is at the origin.

Then the width of the tower at the top will be

x²/500 – (120)²/900 = 1

x²/500 – 14400/900 = 1

              x²/500 – 16 = 1

                      x²/500 = 1 + 16

                      x²/500 = 17

                              x² = 8500

                                x = 92.19 ≈ 92 m

Then the correct option is B.

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The radius of convergence of the given power series is R = 2/3, which means the series converges absolutely for all x in the interval (5/3, 7/3).

To find the radius of convergence R, we can use the ratio test. The ratio test tells us that a power series ∑ bₙ(x - c)ⁿ is convergent if the limit of |b_(n+1)/bₙ| as n approaches infinity is less than 1, and divergent if the limit is greater than 1. When the limit is exactly 1, the test is inconclusive and we need to try other tests.

Using the ratio test, we have:

|a_(n+1)/aₙ| = |(2(n+1)+1)/(3(n+1)-1) * (3n-1)/(2n+1)| = |(2n+3)/(3n+2)|

Taking the limit as n approaches infinity, we get:

lim |a_(n+1)/aₙ| = lim |(2n+3)/(3n+2)| = 2/3

Since the limit is less than 1, by the ratio test, the series converges absolutely for all x satisfying |x - 2| < R, where R is given by:

R = 1/lim sup |aₙ|¹/ₙ = 1/lim sup ((2n+1)/(3n-1))¹/ₙ

Evaluating the limit, we get:

lim sup ((2n+1)/(3n-1))¹/ₙ = 3/2

Therefore, R = 2/3.

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Answer:

18.75

Step-by-step explanation:

80 = 100%

1% = 100%/100 = 80/100 = 0.8

the grades changed by 95 - 80 = 15.

how many % is that ?

we find the answer by checking how often 1% fits into 15. and we do this kind of check by division :

15 / 0.8 = 18.75

so, the grades changed by 18.75%.

On solving the provided question, we can say that - the area of the provided circle is A = \(113.04 cm^2\)

Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.

here,

radius, r = 6 cm

Area of circle = \(\pi X r^2 = 3.14 X 6 X 6 \\\)

A = \(113.04 cm^2\)

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Answer:

thxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Step-by-step explanation:

Answer:

a = - 3

Step-by-step explanation:

The equation has common factors x(x + 3) on both sides

For the 2 sides of the equation to be equal, then the factor

(x + a) = (x - 3) and by comparison

a = - 3

The most accurate statement is: "A statistic is a random variable whose value depends on a random sample chosen."

A statistic is a calculated value from a sample of data. It is a random variable as its value depends on the selected sample. For example, the sample mean is a statistic whose value depends on the specific value of each observation in the sample.

parameters are fixed values ​​that characterize the population. Usually unknown and estimated using sample data. For example, the population mean is a parameter that can be estimated using sample data.

In summary, a statistic is a value computed from sample data that is used to draw inferences about a population. Parameters are values ​​that characterize a population and are estimated from sample data.

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Answer:

B = 155°, C = 25°, D = 155°

Step-by-step explanation:

Assuming you require B, C, D

A and B are adjacent angles and are supplementary , that is

A + B = 180°

25° + B = 180° ( subtract 25° from both sides )

B = 155°

A and C are vertically opposite angles and are congruent, then

C = 25°

B and D are vertically opposite angles and are congruent , then

D = 155°

Approximately 4.5 gallons of paint would be needed for one coat on the entire exterior of the barn, including the roof.

To determine the number of gallons of paint needed for one coat on the entire exterior of the barn, including the roof, we need to calculate the total surface area that needs to be painted.

Let's consider the dimensions of the barn:

Length: 30 feet

Width: 20 feet

Height: 10 feet

First, let's calculate the surface area of the four walls. Since a rectangular barn has opposite walls with equal dimensions, we can calculate the area of one wall and multiply it by 4:

Wall area = Length * Height

= 30 feet * 10 feet

= 300 square feet

Now, multiply the wall area by 4 to account for all four walls:

Total wall area = Wall area * 4

= 300 square feet * 4

= 1200 square feet

Next, let's calculate the surface area of the roof, which is a rectangle:

Roof area = Length * Width

= 30 feet * 20 feet

= 600 square feet

Finally, we calculate the total surface area that needs to be painted by adding the wall area and the roof area:

Total surface area = Total wall area + Roof area

= 1200 square feet + 600 square feet

= 1800 square feet

Given that one gallon of paint covers 400 square feet, we can divide the total surface area by 400 to determine the approximate number of gallons needed for one coat:

Number of gallons = Total surface area / Coverage per gallon

= 1800 square feet / 400 square feet

= 4.5 gallons

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Rapunzel can load 5 trucks in 10 minutes, given her rate of loading 22 trucks every 44 minutes.

Assuming that Rapunzel maintains a consistent pace of loading 22 trucks every 44 minutes, we can use a proportion to determine how many trucks she can load in 10 minutes.

First, we need to determine the rate at which Rapunzel loads trucks.

We can do this by dividing the number of trucks she loads by the time it takes her to load them:

22 trucks / 44 minutes = 0.5 trucks per minute

This means that Rapunzel loads an average of 0.5 trucks every minute.

Now, we can set up our proportion using this rate:

0.5 trucks/minute = x trucks/10 minutes

To solve for x, we can cross-multiply:

0.5 trucks/minute × 10 minutes = x trucks

5 trucks = x

The ratio of trucks loaded to time taken is 22 trucks per 44 minutes.

Divide both the number of trucks and minutes by their greatest common divisor (22) to get a simplified ratio:

22 trucks ÷ 22 = 1 truck

44 minutes ÷ 22 = 2 minutes

The simplified ratio is 1 truck per 2 minutes.

The simplified ratio to find the number of trucks loaded in 10 minutes.

Since Rapunzel can load 1 truck in 2 minutes, we will multiply both sides of the ratio by 5 to find out how many trucks she can load in 10 minutes:

1 truck × 5 = 5 trucks

2 minutes × 5 = 10 minutes

Therefore, if Rapunzel maintains her current rate of loading 22 trucks every 44 minutes, she would be able to load approximately 5 trucks in 10 minutes.

Rapunzel can load 5 trucks in 10 minutes.

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Answer:

x=52

Step-by-step explanation:

in the picture above

Answer:

x=54

if not i think its 52

Step-by-step explanation:

hope this helps!

have a good day :)

1. The velocity v as a function of t v(t) = ds/dt = 4t^3 - 4

2. The acceleration a as a function of t a(t) = dv/dt = 12t^2

3. The acceleration after 2 seconds a(2) = 12(2^2) = 48 m/s^2

4. the acceleration when the velocity is 0 a = 12(1^2) = 12 m/s^2

The equation of motion of a particle is s=t^4−4t, where s is in meters and t is in seconds.

To find the velocity and acceleration as functions of t, we need to take the derivative of the equation of motion with respect to t.

1. Find the velocity v as a function of t.
v(t) = ds/dt = 4t^3 - 4

2. Find the acceleration as a function of t.
a(t) = dv/dt = 12t^2

3. Find the acceleration after 2 seconds.
a(2) = 12(2^2) = 48 m/s^2

4. Find the acceleration when the velocity is 0.
0 = 4t^3 - 4
t^3 = 1
t = 1
a(1) = 12(1^2) = 12 m/s^2

So the acceleration when the velocity is 0 is 12 m/s^2.

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The type of influence on wellness that this represents is given as follows:

A. Social.

An influence on wellness is an activity that improves the morale of certain aspect of our lives.

The aspect improved in this problem is the social aspect, along with the physical aspect, as follows:

Since this is an example of social bonding, option A gives the correct option regarding which type of influence on wellness this is an example of.

For example, reading a book would be intellectual influence, while recycling would be environmental influence.

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The solution of the function which satisfies the initial value problem is equal to  y = { (4-e^(-3x))/3, 4-3y > 0

                    { (4+e^(-3x))/3, 4-3y < 0

Function y=y(x)

Simplify the differential equation,

dy/dx = 4 -3y

Separate the variables dx and dy,

dy/dx = 4 - 3y

dy/(4-3y) = dx

Integrate both sides,

∫ dy/(4-3y) = ∫ dx

⇒(-1/3) log|4-3y| = x + C

where C is a constant of integration.

Use the initial condition y(0) = 0

(-1/3) log|4-3(0)| = 0 + C

⇒C = (-1/3) ln(4)

Substitute the value of C,

⇒(-1/3) log|4-3y| = x - (1/3) ln(4)

⇒log|4-3y| = -3x + ln(4)

⇒|4-3y| = e^(-3x + ln(4))

For an absolute value consider two cases,

Case 1: 4 - 3y > 0

4 - 3y = e^(-3x + ln(4))

y = (4-e^(-3x))/3

Case 2: 4 - 3y < 0

-4 + 3y = e^(-3x + ln(4))

y = (4+e^(-3x))/3

Therefore, the required solution of the function to the initial value problem is equal to  y ={ (4-e^(-3x))/3, 4-3y > 0

                                       { (4+e^(-3x))/3, 4-3y < 0

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The above question is incomplete, the complete question is:

Find the function y=y(x) which satisfies the initial value problem:

dy/dx = 4 -3y ,y(0)=0.

The parametric equations of the line are

**x(t) = -4t**

**y(t) = 2t**

**z(t) = 4**

The vector equation of the line through (0,0,4) in the direction of the vector **v=−4,2,0** is:

r(t) = (0, 0, 4) + t(-4, 2, 0)

In this equation, **r(t)** represents the position vector of any point on the line, **t** is a parameter that determines the position of a point along the line, and **(0, 0, 4)** is the initial point of the line.

To obtain the parametric equations of the line, we can express the coordinates **x**, **y**, and **z** as functions of the parameter **t**.

For the **x-coordinate**, we have:

**x(t) = 0 - 4t**

For the **y-coordinate**, we have:

**y(t) = 0 + 2t**

For the **z-coordinate**, we have:

**z(t) = 4 + 0t = 4**

These equations describe the position of any point on the line in terms of the parameter **t**. Thus, the parametric equations of the line are:

**x(t) = -4t**

**y(t) = 2t**

**z(t) = 4**

By substituting different values of **t**, we can determine the corresponding coordinates of points along the line.

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Answer:

all of the options

Step-by-step explanation:

Answer:The bottom left one is the answer.

Answer:

87.46

Step-by-step explanation:

84--√12

Two negative signs cancel out into a positive sign

84 + √12

84 plus the square root of 12. The square root of 12 is 3.5 or 3.46.

84 + 3.46

addition

87.46

The value of the given expression is 87.46.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

E = 84-( -√12)

Two negative signs cancel out into a positive sign

E =84 + √12

84 plus the square root of 12. The square root of 12 is 3.5 or 3.46.

E = 84 + 3.46

E = 87.46

Therefore, the value of the given expression is 87.46.

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Answer:

7/3 or 3/7

Step-by-step explanation:

it says it on the thing you just have to find the numbers and we're they go

True.

If the equation Ax=0 has a nontrivial solution, then the columns of A are linearly dependent.

If the equation Ax=0 has a nontrivial solution, then the columns of A are linearly dependent. This means that there exist constants c1, c2, ..., cn, not all zero, such that the vector

v = c1*a1 + c2*a2 + ... + cn*an

is the zero vector, where a1, a2, ..., an are the columns of A.

This implies that A has a non-pivot column, since we can write the vector v as a linear combination of the other columns. Therefore, A has fewer than n pivot columns, or equivalently, fewer than n pivot points.

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