use cylindrical coordinates. evaluate x2 dv, e where e is the solid that lies within the cylinder x2 y2

Answers

Answer 1

The value of the expression on evaluation is 96π / 5.

Here we have to find the value of the expression.

∫∫∫x² dV

E is indeed the solid that exists inside the cylinder x² + y² = 4 above the surface z =0.

E's precession through into xy-plane is x² + y² ≤4 where r≤2 with Ф[0, 2π].

∫∫∫ x² dV = ∫[tex]\int\limits^2\pi _0 {} \, \int\limits^2_0{} \, \int\limits^3r_0[/tex] r² cos² Фrd dФ

             = [tex]\int\limits^2\pi _0 {} \, \int\limits^2_0 \int\limits^3r_z=0 {} \,[/tex]r³ cos²Ф dz dr dФ

            = [tex]\int\limits^2\pi _0 {} \, \int\limits^2_0 {} \,[/tex] 3[tex]r^{4}[/tex]cos²Ф dr dФ

           = 3 [tex]\int\limits^2\pi _0 {} \,[/tex] 1/2 [tex]2^{5}[/tex]/ 5 ( 1 + cos² Ф )dr dФ

           = 48 / 5 [( Ф + 1/2 sin 2Ф)[tex]]^{2\pi } _{0}[/tex]

            = 96π / 5

Therefore the value of the expression is 96π/5.

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Related Questions

identify features of graphs and tables for linear and nonlinear relationships (example: coordinates of points; x/y intercept)

Answers

If you graph a linear characteristic you may get a immediately line. There also are nonlinear functions. If you graph the coordinates of a nonlinear characteristic you may now no longer get a immediately line.

One of the very best ways (however now no longer the handiest way) to differentiate among a linear and a nonlinear characteristic is to have a take a observe the graph of the characteristic.

A linear equation is an equation with  variables whose graph is a line. The graph of the linear equation is a hard and fast of factors withinside the coordinate aircraft that every one are answers to the equation. If all variables constitute actual numbers you can graph the equation via way of means of plotting sufficient factors to understand a sample after which join the factors to encompass all factors.

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Reflecting across Both Axes Suppose (-7,3) is reflected across the x-axis, and then the y-axis. What will be the new coordinates? A. (-7,-3) B. (-7,3) C. (7,-3) D. (7,3)

Answers

The coordinates after the reflection of the points will be(7, -3).

What is reflection over axes?

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse.

Given that, (-7,3) is reflected across the x-axis, and then the y-axis.

When reflected across x-axis, it will be (-7, -3)

And again when reflected across y-axis it will be (7, -3)

Hence, The coordinates after the reflection of the points will be(7, -3)

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best buy was having a sale on a bluetooth speakers they offered a 40% discount on a JBI speaker that was originally priced at $4.50. after the new sale , the discounted price of the speaker was increased by 40%, what is the new price of the speaker after this increase?

Answers

Answer:

$3.78

Step-by-step explanation:

To find the new price of the speaker after the sale, you can use the following formula:

New price = (1 + discount percentage) * (original price - discount amount)

In this case, the discount percentage is 40%, or 0.4, and the discount amount is 40% of the original price, or 0.4 * $4.50 = $1.80. Plugging these values into the formula, we get:

New price = (1 + 0.4) * ($4.50 - $1.80)

= 1.4 * $2.70

= $3.78

So the new price of the speaker after the sale and the subsequent price increase is $3.78.

can any of you help I pay you!

Answers

Answer:

Below

Step-by-step explanation:

The probability of Z    given Y  would be

      7  out of (15+7) = 7/22

Liza is one year older than her sister. In four years she will be 3 times as old as she is now. How old is her sister now??

Answers

The required age of Liza's sister is given as 6 years.

Given that,
Liza is one year older than her sister. In four years she will be 3 times as old as she is now. How old is her sister now is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the age of Liza be x and of her sister be y,
According to the question,
x = y + 1
After 4 years,
4 + (y + 1) = 3(y + 1)
5 + y = 3y + 1
y = 2
The age of her sister now,
y = 2 + 4 = 6 years.

Thus, the required age of her sister is given as 6 years.

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Which angle is coterminal with 360°?

Answers

To find the coterminous angles, Add or subtract 360 degrees as many times as needed from the reference angle

Answer:

[tex]\boxed{0}[/tex]

_________________________________________________________

For degrees, coterminal angle formula is: θ ± 360 * n For radians, coterminal angle formula is: θ ± 2π * n In the above formulas, n refers to a multiple of full rotations, which equals to 360 degrees or 2π.

⇒ θ ± 360

⇒  θ ± 2π

⇒ 0 360 degrees or 2π.

Therefore, your answer is 0

_____________________

Hope this helps!

Please mark me brainless!


Evaluate the following expression for x =1/2

8x-5
Explain answer

Answers

8x-5

X= 1/2

8 (1/2) - 5 = -1

Hope this helps!!

Answer:

  -1

Step-by-step explanation:

You want to evaluate (8x -5) for x = 1/2.

Evaluation

Put the value where x is in the expression, then do the arithmetic.

  8x -5 = 8(1/2) -5

  = 4 -5

  = -1

The value of the expression is -1.

Let S be a nonempty subset of Z and let R be a relation defined on S by x R y if 3 (x + 2y). (a) Prove that R is an equivalence relation. (b) If S = (-7, -6, -2,0,1,4,5,7), then what are the distinct equivalence classes in this case?

Answers

R is equivalence relation and cl (-7) = cl(5)

cl (-6) = cl (0)

cl (-2) = cl(1) = cl(4) = cl( 7)

What is equivalence relation?

A reflexive, symmetric, transitive binary connection is an equivalence relation. One such illustration of an equivalence relation is the relation of equipollence between line segments in geometry.

demonstrate the equivalence of R. We must demonstrate

1). reflexive

x +2x = 3x and 3/ 3x  = 3/x +2x

(x,x) ∈ R

R is reflexive

2). symmetric

let (x,y )  ∈ R

x + 2y = 3a for some a ∈ R

consider y +2x = y + 2(3a - 2y)

6a - 3y = 3(2a - y) = 3k

3/y +2x

so (y,x)  ∈ R

R is symmetric

3). transitive

(x,y) and (y,x) ∈ R

3/x+2y and 3/y+2x

x+2y =3a and y +2x = 2b for some a,b

consider x+2z = 3a - 2y + 2 (3b-y/2)

3a +3b -3y

3(a+b-y)

3/x+2z

(x,z) ∈ R

R is tansitive

so R is equivalence relation

b).S = (-7, -6, -2,0,1,4,5,7)

cl (x) = { y∈ z , x∈ y }

cl (x) = {y∈ z , x +2y = 3a}

cl (x) =  {y∈ z , y = 3a - x /2}

cl (-7) = {y∈ z , y = 3a +7  /2}

cl (-7) = cl(5)

cl (-6) = cl (0)

cl (-2) = cl(1) = cl(4) = cl( 7)

R is equivalence relation

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write the integer which is 9 units left from +4​

Answers

Answer:

I believe the answer is 5

Step-by-step explanation:

Please help me asap, I’m struggling with this :(

Answers

Answer:

x≈33.36

Step-by-step explanation:

The marks on the lines mean they are the same lenth, that means the other two angles are both 29 degrees. Because triangle angles add up to 360, we can add the two 29 degree angles and subtract them from 360 to get the angle of the equation. From here we can solve to find x.

[tex]29+29=58[/tex]

[tex]360-58=302[/tex]

[tex]11x-65=302\\[/tex]

[tex]11x=367[/tex] (add 65 on both sides)
[tex]x[/tex]≅[tex]33.36[/tex] (divide 11 on both sides)

The top rate paid one year for a 30 - second TV ad during the Super Bowl was 6% greater than the previous year's top rate. If the new top rate paid was $ 2.4 million, what was the top rate paid the previous year?

Answers

$2256000 is the top rate paid the previous year.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that top rate paid one year for a 30 - second TV ad during the Super Bowl was 6% greater than the previous year's top rate.

If the new top rate paid was $2.4 million then we need to find the top rate paid the previous year.

Convert 6% to the decimal by dividing with 100 is 0.06

0.06×2400000

144000

Now subtract 144000 from 2.4 million.

2400000-144000

2256000

Hence, the top rate paid the previous year is $2256000.

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Liz dives 10 feet below the surface of the water. Then she returns to the surface. Use the drop-down menus to write an expression that represents her overall change in depth.

Answers

The expression that represents her overall change in depth is given as follows:

-10 + 10.

How to represent the changes in depth?

The changes in depth are represented using integer numbers, as follows:

Movement in the direction below the surface: negative value.Movement in the direction above the surface: positive value.

Liz dives 10 feet below the surface of the water, hence the integer number is of:

-10.

Then she returns to the surface, that is, moving 10 feet in the direction of the surface, hence the integer number is given as follows:

10.

Then the addition operation that represents her overall change in depth

-10 + 10.

Which has a result of zero, as she finished at the same place that she started.

Missing Information

The problem is given by the image shown at the end of the answer.

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if these are the only constraints, which of the following points (x,y) cannot be the optimal solution?

Answers

Points (0,200) and (200,0) fall outside of the feasible region hence they cannot be the optimal solution.

For the given condition,

Points are (48,84), (0,120), (0,0), (90,0)

The objective function is,

maximize 4X + 10Y

Take point (48, 84), here X = 48 and Y = 84

Substitute values in the objective function equation as shown below;

Z = 4 * 48 + 10 * 84

  = 1032

For point (0,120)

Z = 4 * 0 + 10 * 120

  = 1200

For point (0,0)

Z = 4 * 0 + 10 * 0 =0

For point (90,0)

Z = 4 * 90 + 10 * 0

  = 360

The value of the objective function is maximum at point (0,120). Its value is 1,200.

The viable region does not include points (0,200) and (200,0), hence they cannot be the best option.

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brainly josh is 3 years older than 4 times kim's age. the sum of their ages is less than 43. select the correct inequality for the situation, then determine the oldest age kim could be.

Answers

josh is 3 years older than 4 times kim's age. the sum of their ages is less than 43. inequality for the situation, then the oldest age kim could be.

4k + 3 < 43

k < 10

We are given that Josh is 3 years older than 4 times Kim's age. We can express this as 4k + 3, where k represents Kim's age. We are told that the sum of their ages is less than 43, so we can write this as an inequality: 4k + 3 < 43. To find the oldest age Kim could be, we can solve this inequality for k. To do this, we subtract 3 from both sides, giving us 4k < 40. Finally, we divide both sides by 4, giving us k < 10. Therefore, the oldest age Kim could be is 10.

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2. Which is the slope value of the line that passes through the ordered pairs (16, -9) and (16, 13)?
m = 22
m = 0
m = 4
undefined

Answers

Answer:

slope is undefined

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (16, - 9 ) and (x₂, y₂ ) = (16, 13 )

m = [tex]\frac{13-(-9)}{16-16}[/tex] = [tex]\frac{13+9}{0}[/tex] = [tex]\frac{22}{0}[/tex]

since division by zero is undefined then slope of line is undefined.

A is a 7x7 matrix with three eigenvalues. One eigenspace is two-dimensional, and one of the other eigenspaces is three dimensional then it is possible that A is not diagonalizable. Select one: True False

Answers

A is a 7x7 matrix with three eigen values. One eigenspace is two-dimensional and one of the other eigenspaces is three dimensional, then it is possible that A is not diagonalizable. The given statement is true.

There are three eigen-spaces, since A has three eigen values, the dimension of each of the eigen value is atleast one as there is atleast one non-zero eigen vector in them.

It is given that one of the eigen space has dimension 2 and other one has dimension 3.

A 7 x 7 matrix is diagonalizable if and only if the sum of the eigenspaces' dimension is 7. The given matrix is diagonalizable if and only if the third eigen space has dimension 2.

In A, if the sum of dimensions of eigenspace is not equal to the number of columns, then A is not diagonalizable.

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Solve using substitution.

4x − 10y = 10
x = –10

Answers

Answer:

x=−10,y=−5

Step-by-step explanation:

A. Jesse and Mya are playing the integer card game.The cards in jesse's hand are 3,-5,9 and -6.What is the total score of jesse's hand?
B. Jesse picks up two more cards but they do not affect his overall point total.State the value of each of the two cards and tell why they do not affect his overall point total?

Answers

(a) The total score of Jesse's card is 1

(b) The value of each of the two cards can either be 0 or cards with different signs

In the question,

(a) Jesse's card are 3 , -5 , 9 and -6

We have to find the total

You should know that,

Adding a positive integer is like addition but adding a negative integer is like subtraction

So, Total score = 3 + (-5) + 9 + (-6)

=> 3 - 5 + 9 - 6

=> 1

Jesse's total score is 1

(b) Jesse has picked two cards which are not affecting her total score

So, either he got two zeroes or two cards with opposite signs with same magnitudes

Like 1 and -1 etc.

The two doesn't affect his score because their effect got cancelled out

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Need help answer please!

Answers

Answer:

The second option/ B

Step-by-step explanation:

6 coins plus 4 coins is 10 coins, and you can’t forget the x amount of pennies.

C. Find the solution of the given linear equations and solve the number
crossword

Answers

I’ll answer each crossword hint starting with Across

x + 5 = 20
x = 15

p - 4 = 22
p = 26

5x/4 = 15
5x = 60
x = 12

b - 17 = 17
b = 34

2x = 98
x = 49

c/4 = 127
c = 508

(p - 60) / 5 = 1
p - 60 = 5
p = 65

Down:

x/3 + 1 = 5
x/3 = 4
x = 12

y + 2 = 18
y = 16

4m = 800
m = 200

y/11 - 1 = 1
y/11 = 2
y = 22

L/5 = 71
L = 355

2(x - 9) = 60
x - 9 = 30
x = 39

2y + 1 = 97
2y = 96
y = 48

x/3 + 5 = 22 + 8
x/3 + 6 = 30
x/3 = 24
x = 72

Hope this helps!

Which is the same as sin^-1 x
arccos x
arcsin x
arctan x

Answers

The expression that is the same as sin⁻¹ x is (b) arcsin x

How to determine the equivalent expression?

From the question, we have the following sine expression that can be used in our computation:

sin^-1 x

When this expression is rewritten, we have the following representation

sin⁻¹ x

The above expression is pronounced as arc-sin of x

And it can be represented as

arcsin x

This means that the equivalent expression of the given expression is (b) arcsin x

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Components coming off an assembly line are either free of defects (S, for success) or defective (F, for failure). Suppose that 80% of all such components are defect-free. Components are independently selected and tested one by one. Let y denote the number of components that must be tested until a defect-free component is obtained.
(a) What is the smallest possible y value, and what experimental outcome gives this y value? What is the second smallest y value, and what outcome gives rise to it?
The smallest value of y is ______ . The outcome corresponding to this is______ .
The second smallest value of y is_________ . The outcome that corresponds to this is ______ .
(b) Determine the probability of each of the five smallest y values. You should see a pattern that leads to a simple formula for P(y), the probability distribution of y.
P(y = 1) =
P(y = 2) =
P(y = 3) =
P(y = 4) =
P(y = 5) =

Answers

The smallest possible value of y is 1, and the outcome corresponding to this is that the first component tested is defect-free. The second smallest value of y is 2, and the outcome corresponding to this is that the first component tested is defective, but the second component tested is defect-free.The probability of each of the five smallest y value is shown below.P(y = 1) =  0.8P(y = 2) = 0.16P(y = 3) = 0.032P(y = 4) = 0.0064P(y = 5) = 0.00128

Probability can be used to make predictions or decisions in a variety of situations, such as in gambling, finance, and science. In these situations, probabilities can be calculated based on statistical data or by using mathematical models.

To determine the probability of each of the five smallest y values, we can use the probability of each possible outcome and the number of ways that outcome can occur.

P(y = 1) = probability that the first component is defect-free = 0.8

P(y = 2) = probability that the first component is defective and the second component is defect-free = (1 - 0.8) * 0.8 = 0.16

P(y = 3) = probability that the first two components are defective and the third component is defect-free = (1 - 0.8) * (1 - 0.8) * 0.8 = 0.032

P(y = 4) = probability that the first three components are defective and the fourth component is defect-free = (1 - 0.8) * (1 - 0.8) * (1 - 0.8) * 0.8 = 0.0064

P(y = 5) = probability that the first four components are defective and the fifth component is defect-free = (1 - 0.8) * (1 - 0.8) * (1 - 0.8) * (1 - 0.8) * 0.8 = 0.00128

We can see that the probability of each y value is simply the probability of the previous y value multiplied by (1 - 0.8) = 0.2. This means that the probability distribution of y is given by the formula P(y) = 0.2^(y - 1) * 0.8.

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a and b are in direct proportion. the equation of proportionality is a=8b. work out the value of a when b=4.

Answers

The required value of 'a' in the equation of proportionality is 32.

What is direct proportion?

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.

It is symbolised by the proportional sign ∝.

For instance, if x and y are two quantities or variables that are intimately linked to one another, we can say x & y. The ratio of x and y becomes equal to a constant when the proportionality sign is removed, for example, x/y = C, where C is a constant.

Given, a = 8b

When b = 4 then

So, a = 8*4 = 32

Hence, the required value of 'a' in the equation of proportionality is 32.

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Which expression is equivalent to Z +( z 6?

Answers

None of the solutions are appropriate since the result of the equation z + (z+6) will be equal to 2z + 6.

An expression is defined.

A mathematical expression is the result of combining a number of mathematical symbols with an arithmetic operator, a variable, and a constraint.

In a different sense, expression is highly helpful in identifying the root or end value of a constraint.

for instance, 3x + 5y

The expression restriction is denoted by the symbols = or, >.

Given the phrase,

z + (z+6)

opening the bracket

z + z + 6

⇒ 2z + 6

Hence

"2z + 6 will be the value of the equation z + (z+6)."

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Question 7 of 35
Use the coordinates of the labeled point to find the point-slope equation of
the line.
-5
69
5
(2,-5)

Answers

The simplest definition of point-slope form is a line equation expressed using a single line point and the line's slope.

How do you write a point slope equation?

When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). B stands in for the y value of the y-intercept point in the formula.

An equation for a line stated using a single point on the line and the line's slope is a straightforward definition of point-slope form.

The slope is defined as the rise over run, or the proportion of the change in the y values over the change in the x values, and the point form is denoted by the letters (x,y).

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What is the volume in cubic centimeters of a right circular cone?; How do you find the volume of a right circular cone with a circumference?; How do you find the volume of a circular cone?; What is the volume of a cone if the height is 10 cm and the diameter is 6 cm?

Answers

The formula for the volume of a circular cone:

If the height(h) of the circular cone is given then,

V = 1/3 * π * r² * h

If the slant height(l) of the circular cone is given then,

V = 1/3 * π * r² * √(l² - r²)

the volume of a cone if the height is 10 cm and the diameter is 6 cm is 94.25 cubic centimeters

We know that a right circular cone has a circular base with the apex above the center of the base.

For a right circular cone, with radius r and height h

The formula for the volume of a right circular cone is,

V = 1/3 * π * r² * h

We need to find the the volume of a right circular cone with a circumference.

We know that circumference C = 2πr

From circumference we find the radius of circular base.

Then using the formula for the volume of a right circular cone, we find the volume.

The volume of a circular cone:

If the height(h) of the circular cone is given then,

V = 1/3 * π * r² * h

If the slant height(l) of the circular cone is given then,

V = 1/3 * π * r² * √(l² - r²)

Now we need to find the the volume of a cone if the height is 10 cm and the diameter is 6 cm

From diameter, the radius of the circular base of the cone would be,

r = 6/2

r = 3 cm

also, h = 10 cm

So, V = 1/3 * π * 3² * 10

V = 94.25 cu.cm.

Therefore, the volume of a cone if the height is 10 cm and the diameter is 6 cm is 94.25 cubic centimeters

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For a graph where would I put my point at?

(3,2)

Answers

Answer:

See below

Step-by-step explanation:

You start at the origin which is the very middle of where the x and y axis cross.  The first number tells you to go right 3 spaces and the second number tells you to go 2 spaces.

go to the right 3 and up 2. i’ll show a screen shot

Struggling again.., any help will be appreciated :(

Answers

Step-by-step explanation:

since triangles are congurent

4z- 32 = 36

z = 68/4

z= 17

6x - 29 = 115

6x = 144

x = 24

and u can find y by triangle property...... similarly.....I'm too lazy to do that

X=24 as the solución

When computing standard error, if the sample size increases while the variability remains the same, then the standard error:
A) decreases
B) increases
C) remains the same
D) is about average
E) none of the above; there is no such thing as standard error

Answers

If the sample size increases while the variability remains the same, then the standard error decreases.

Standard error is defined as the measures of the preciseness of an estimate of a population mean. It can be calculated by dividing the sample standard deviation by the square root of the sample size.

SE = SD / √n

where SE = standard error

SD = sample standard deviation

n = sample size

Variability refers to the statistical dispersion of data which is expressed through the range, variance, or standard deviation.

Increasing the sample size, n, while having the same variability, will result to a lower value for the standard error.

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In the xy-plane, what is the y-coordinate of the y-intercept of the graph of the equation

Answers

Answer: -6

Step-by-step explanation:

(0,y)

at y intercept, x is 0. therefore sub x with 0 and solve

y= 3(0)-12/0+2

= -12/2

=-6

Other Questions
suppose a certain combination lock requires three selections of numbers, each from 1 through 25. (a) how many different combinations are possible? (b) suppose the locks are constructed in such a way that no number may be used twice. how many different combinations are possible? Which two statements best describe how both passages highlight the importance of design techniques?A.) Both passages describe how the artists used innovative ideas to plan the design for the Statue of Liberty. B.) Both passages reveal how the two artists appreciated each other's ideas and concepts. C.) Both passages explain how working together and exchanging ideas on techniques helped create the Statue of Liberty. D.) Both passages show how the artists designed the outer and inner structure of the Statue of Liberty. the file name of a specific web page always appears first in the url. group of answer choices true false If an object travels according to a distance function, d(t), and d' (c) < 0, then at t = c we know the velocity is negative the acceleration is negative the velocity is positive the acceleration is positive the directions on a sewing pattern; which equation can be used to find the length of the hypotenuse; elsa took out a 2-year loan which of the following statements about striving to reduce labor costs per pair produced at each of the company's production facilities is true?(a) A company cannot achieve labor costs per pair produced that are close to the lowest in the industry (in those geographic regions where it has plants) unless its annual total compensation of plant workers is below the average annual total compensation paid by all companies with plants in these same regions.(b) All companies, regardless of the strategy being employed, should pursue actions to manage employee compensation and labor productivity in a manner that results in labor costs per pair produced that are equal to (or very close to) the industry-low in each region where the company has plants.(c) It is very difficult for a company producing branded footwear with a high S/Q rating to achieve labor costs per pair produced that are below the industry average in each geographic region where the company has plants.(d) A company pursuing a low-cost provider strategy is better able to pursue actions aimed at achieving low labor costs per pair produced in each of its plants (as compared to the labor costs of companies with plants in the same regions) than is a company pursuing a differentiation strategy.(e) It is more cost effective for a company to compensate plant workers at levels that are close to the highest in the industry in each geographic region where it has plants than it is for a company to pursue actions to keep labor costs per pair produced below the industry average in each geographic region where it has plants. Which of the following beliefs underlies many of the ethical debates surrounding EBP implementation?A) It is sometimes claimed that ethics approval for the implementation of others' research should be obtained by the person who originally conducted that research.B) Some believe that the implementation of existing research does not require ethical approval.C) Some nurses state that considering client preferences and integrating these into practice is an adequate form of ethics approval.D) It is sometimes claimed that EBP is inherently ethical, negating the need for further ethics approval. vincent lives with his parents and both sets of grandparents in the same house. his uncle's family lives next door. the members of his house and his uncle's family have a close and continuous relationship with one another. this type of arrangement is an example of a(n): group of answer choices in your own words, explain what the concept of density meanswithout using the formula. "Small waste molecules such as potassium, creatinine, and urea occur at a _____ concentration in the blood and at a _____ concentration in the dialysate.Diffusion moves these waste molecules ___ the blood ____ the dialysate.Choices:FromHigherToLower a fixed mindset is the belief that we are all born with certain abilities, intelligence, and talents that Q7: Among isomeric amines, tertiary amines have the lowest boiling points because:(a) they have highest molecular mass(b) they are most basic in nature(c) they are more polar in nature(d) they do not form hydrogen bonds Verona Meyer was employed by Sonrise at Burger King. On April 26, 1995 during the course of her employment, she lost her footing and struck her lower abdomen on the corner of a table. Later that evening, Verona went to the hospital and delivered a baby, Patricia. In April 1998, the Meyers, on behalf of themselves and their daughter filed a suit against Sonrise for negligence and unsafe working conditions. The Washington Supreme Court in this case, upholding Patricias right to a remedy because she is a person exercising her retroactive right to recover for prenatal injuries:Question 25 options:did not recognize fetus as a person in the whole sense.agreed that the fetus injury occurred simultaneously with the mothers.expressly agreed to allow the employer to bar pregnant employees from the workplace.ruled her case as vexatious litigation against the employer. Can momentum be conserved for a system if there are external forces acting on the system? If so, under what conditions? If not, why not? Find the value of z if the area under a standard normal curve (a) to the right of z is 0. 3622; (b) to the left of z is 0. 1131; (c) between 0 and z, with z > 0, is 0. 4838; (d) between z and z, with z > 0, is 0. 9500 which backup and restore function can you use to create a system image that includes the apps you have installed? Mendel studied pea plants dihybrid for seed shape (round versus wrinkled) and seed color (yellow versus green). Recall thatthe round allele (R) is dominant to the wrinkled allele (r) andthe yellow allele (Y) is dominant to the green allele (y).The table below shows the F1 progeny that result from selfing four different parent pea plants.Use the phenotypes of the F1 progeny to deduce the genotype and phenotype of each parent plant. 9.31 determine the moment of inertia and the radius of gyration of the shaded area with respect to the x axis. which factor is probably least related to older adults' performance on memory tests? part iii: generalized atmospheric circulation below is a very simplified version of the earth with no continents, just oceans. it still receives more solar radiation at the equator than at the poles.