What is the slope on this graph

The normal vector, f, to the surface of the inner conductor is a unit vector in the radial direction, pointing away from the conductor.

a. The normal vector, f, to the surface of the inner conductor is a unit vector in the radial direction, pointing away from the conductor.

b. The boundary condition at the surface of the conductor (medium 2) is that the normal component of the electric field is equal to the surface charge density.

c. The boundary condition in the dielectric (medium 1) is that the tangential component of the electric field is equal to zero.

d. The surface charge density, Ps, at the surface of the conducting cylinder is P.

The complete question is:

An infinitely long conducting cylinder of radius a (medium 2) has a surface charge density P. The cylinder is surrounded by a dielectric (Er = 4, medium 1) that contains no free charges (that is to say p = 0 inside the dielectric). Defining 2 as the axis of the conducting cylinder, the electric field, E, inside the dielectric medium (whenra) is found as: E = Er*sin(θ)/r.

a. What is the normal vector, f, to the surface of the inner conductor?

b. What is the boundary condition at the surface of the conductor (medium 2)?

c. What is the boundary condition in the dielectric (medium 1)?

d. What is the surface charge density, Ps, at the surface of the conducting cylinder?

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The Cov(X,Y) = E(XY) - E(X)E(Y) = 1.26 - 0.76(1.70) = 0.02h) Find ρX,Y.To find the correlation coefficient of X and Y, we use the formula ρX,Y = Cov(X,Y) / (σXσY). We already calculated Cov(X,Y) to be 0.02. Now we need to calculate σX and σY. We calculated σX to be 0.638. We could not calculate σY because the variance was negative. Therefore, we cannot find the correlation coefficient of X and Y.

Find the marginal probability mass function pX(x). Round the answers to two decimal places.a.1) Px(0)a.2) Px(1)a.3) Px(2)We can use the following formula to find the marginal probability mass function: Px(x) = Σy P(x, y) where Σy is the sum of all the values of y for each value of x.

The table shows the joint probability mass function of the random variables X and Y.X/Y|0 |1 |2 |P(X=x)0 |0.12 |0.16 |0.280.6 |1 |0.18 |0.14 |0.320.64 |2 |0.10 |0.12 |0.22Let's now use the formula to find Px(0):Px(0) = Σy P(0, y) = P(0,0) + P(0,1) + P(0,2) = 0.12 + 0.16 + 0.28 = 0.56Now we'll find Px(1):Px(1) = Σy P(1, y) = P(1,0) + P(1,1) + P(1,2) = 0.18 + 0.14 = 0.32Lastly, we'll find Px(2):Px(2) = Σy P(2, y) = P(2,0) + P(2,1) + P(2,2) = 0.10 + 0.12 = 0.22b)

Find the marginal probability mass function pY(y). Round the answers to two decimal places.b.1) Py(0)b.2) Py(1)b.3) Py(2)We can use the following formula to find the marginal probability mass function: Py(y) = Σx P(x, y) where Σx is the sum of all the values of x for each value of y. The table shows the joint probability mass function of the random variables X and Y.X/Y|0 |1 |2 |P(X=x)0 |0.12 |0.16 |0.280.6 |1 |0.18 |0.14 |0.320.64 |2 |0.10 |0.12 |0.22

Let's now use the formula to find Py(0):Py(0) = Σx P(x, 0) = P(0,0) + P(1,0) + P(2,0) = 0.12 + 0.18 + 0.10 = 0.40Now we'll find Py(1):Py(1) = Σx P(x, 1) = P(0,1) + P(1,1) + P(2,1) = 0.16 + 0.14 + 0.12 = 0.42Lastly, we'll find Py(2):Py(2) = Σx P(x, 2) = P(0,2) + P(1,2) + P(2,2) = 0.28 + 0.14 + 0.22 = 0.64c) Find µXTo find µX, we use the formula µX = E(X) = Σx xP(X = x).

We can calculate the expected value of X by using the marginal probability mass function Px(x) that we previously calculated. The formula is: E(X) = Σx xPx(x) = 0(0.56) + 1(0.32) + 2(0.22) = 0 + 0.32 + 0.44 = 0.76Therefore, µX = 0.76d) Find μY.

Round the answer to two decimal places.To find µY, we use the formula µY = E(Y) = Σy yP(Y = y). We can calculate the expected value of Y by using the marginal probability mass function Py(y) that we previously calculated. The formula is: E(Y) = Σy yPy(y) = 0(0.40) + 1(0.42) + 2(0.64) = 0 + 0.42 + 1.28 = 1.70Therefore, µY = 1.70e) Find σX.To find the standard deviation of X, we can use the formula σX = sqrt(V(X)) where V(X) is the variance of X. To find the variance of X, we use the formula V(X) = E(X²) - [E(X)]². We already calculated E(X) to be 0.76. Now we need to calculate E(X²):E(X²) = Σx x²P(X = x) = 0²(0.56) + 1²(0.32) + 2²(0.22) = 0 + 0.32 + 0.88 = 1.20

Therefore, V(X) = E(X²) - [E(X)]² = 1.20 - 0.76² = 0.4064σX = sqrt(V(X)) = sqrt(0.4064) = 0.638f) Find σY.To find the standard deviation of Y, we can use the formula σY = sqrt(V(Y)) where V(Y) is the variance of Y. To find the variance of Y, we use the formula V(Y) = E(Y²) - [E(Y)]².

We already calculated E(Y) to be 1.70. Now we need to calculate E(Y²):E(Y²) = Σy y²P(Y = y) = 0²(0.40) + 1²(0.42) + 2²(0.64) = 0 + 0.42 + 1.28 = 1.70Therefore, V(Y) = E(Y²) - [E(Y)]² = 1.70 - 1.70² = -0.29σY = sqrt(V(Y)) = sqrt(-0.29)This is an invalid result, since the variance cannot be negative. Therefore, there may be an error in the calculations or in the values provided in the table.

We cannot find the standard deviation of Y.g) Find Cov(X, Y).To find the covariance of X and Y, we use the formula Cov(X,Y) = E(XY) - E(X)E(Y). We already calculated E(X) and E(Y) to be 0.76 and 1.70 respectively. Now we need to calculate E(XY):E(XY) = Σx Σy xyP(X = x, Y = y) = 0(0)(0.12) + 0(1)(0.16) + 0(2)(0.28) + 1(0)(0.18) + 1(1)(0.14) + 1(2)(0.00) + 2(0)(0.10) + 2(1)(0.12) + 2(2)(0.22) = 0 + 0 + 0 + 0 + 0.14 + 0 + 0 + 0.24 + 0.88 = 1.26

Therefore, Cov(X,Y) = E(XY) - E(X)E(Y) = 1.26 - 0.76(1.70) = 0.02h) Find ρX,Y.To find the correlation coefficient of X and Y, we use the formula ρX,Y = Cov(X,Y) / (σXσY). We already calculated Cov(X,Y) to be 0.02. Now we need to calculate σX and σY. We calculated σX to be 0.638. We could not calculate σY because the variance was negative. Therefore, we cannot find the correlation coefficient of X and Y.

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Using Work problem solving , we get

Matilde could take 90 minutes to complete the research project alone .

Raphael could take 3 hr to complete the research project alone.

Work problems are fraction problems :

the following is a simple equation we could use in solving work problems :

1/t₁ + 1/t₂ = 1/td ---> (*)

where,

t₁ = the time it takes for one person to do the work alone

t₂ = the time it takes for the other person to do the work alone

td= the time it takes to do the work when two people are working together.

Now, it is given that matilde twice as long to complete a research project as it takes raphael to do the same research project. They worked together and they could finish similar project in 1 hour.

Let t₁= the time that takes the Raphael working alone

and t₂ = 2t₁= the time it takes for research project working alone

td = times taken by both of researchers to complete the research project together = 1 hr

Now, put the values in above equation (*) we get,

1/t₁ + 1/(2t₁) = 1/1 = 1

Now, we just need to solve for t₁ to get the time it takes for finish the research project work alone.

3/2t₁ = 1 => t₁ = 3/2 hr or 90 minutes

if t₁= 3/2 then t₂ = 2× 3/2 = 3 hr

Hence, matilde will take 3 hr to finish the research project alone and Raphael will take 90 minutes to finish the project work alone.

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Answer:

The sixth rod is 35.20 cm.

Step-by-step explanation:

Get the total length of the 6 rods.

Total length = 6(44.2cm)

= 265.20 cm

Get the total length of 5 rods

Length of 5 rods = 5(46cm)

=230cm

The length of the sixth rod is the difference between the two.

Length of the sixth rod = 265.20 cm - 230 cm

length = 35.2 cm

Answer:

1. 6 6/10

2. 7 6/10

Step-by-step explanation:

Answer:

1. 8 6/10

2. 9 6/10

Step-by-step explanation:

Answer:

\(p = 52.942259755149776\)

Step-by-step explanation:

This is basic trigonometry.

\( \cos(39) = \frac{e}{22} \)

\(e = \cos(39) \times 22\)

\( \sin(39) = \frac{d}{22} \)

\(d = \sin(39) \times 22\)

And finally perimeter (p):

\(p = 22 + e+ d\)

Answer:

Simplified this is -304 + 38m = 52 + 26m

m in the equation is 29 2/3

Step-by-step explanation:

Reorder the terms:

19(-16 + 2m) = 13(2m + 4)

(-16 * 19 + 2m * 19) = 13(2m + 4)

(-304 + 38m) = 13(2m + 4)

Reorder the terms:

-304 + 38m = 13(4 + 2m)

-304 + 38m = (4 * 13 + 2m * 13)

-304 + 38m = (52 + 26m)

Simplfied answer:

-304 + 38m = 52 + 26m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-26m' to each side of the equation.

-304 + 38m + -26m = 52 + 26m + -26m

Combine like terms: 38m + -26m = 12m

-304 + 12m = 52 + 26m + -26m

Combine like terms: 26m + -26m = 0

-304 + 12m = 52 + 0

-304 + 12m = 52

Add '304' to each side of the equation.

-304 + 304 + 12m = 52 + 304

Combine like terms: -304 + 304 = 0

0 + 12m = 52 + 304

12m = 52 + 304

Combine like terms: 52 + 304 = 356

12m = 356

Divide each side by '12'.

m = 29.66666667

Simplifying

m = 29.66666667 = 29 2/3

The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant

An independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.

In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.

The main characteristics of an independent measures design are:

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To determine the price of widgets that a company should sell to maximize profit, you need to find the value of x at which the given equation will produce the highest y value.

Here's how to solve this:

Step 1: Rewrite the equation in standard form y = -44x² + 1375x - 6548 becomes

y = -44(x² - 31.25x) - 6548

Step 2: Complete the square by adding and subtracting the square of half of the coefficient of x:

y = -44(x² - 31.25x + (31.25/2)² - (31.25/2)²) - 6548

y = -44((x - 15.625)² - 244.141) - 6548

y = -44(x - 15.625)² + 10723.564

Step 3: The maximum value of y occurs when

(x - 15.625)² = 244.141/44.

Therefore,

x - 15.625 = ±sqrt(244.141/44)

x = 15.625 ± 2.765

x = 18.39 or 12.86

Since the company cannot sell at a negative price, x must be $12.86 or $18.39.

The company should sell widgets at $12.86 or $18.39 to maximize profit to the nearest cent.

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The interval on which the curve is concave upward is  x∈(-I, -0.125). It can be calculated in the following manner.

y = x∫(1/5+t+4t²) dt

y= 1/(5+x+4x²)  (d(x)/dx)

y= 1/(5+x+4x²)

y= -1(5+x+4x²)² * (8x+1)

For concave up: y">0

= -(8x+1)/(5+x+4x²)² >0

= -(8x+1)>0

= (8x+1)<0

= x<(-1/8)

= x∈(-∞, -1/8)

= x∈ (-I, -1/8)         ≡      x∈(-I, -0.125)

The interval on which the curve is concave upward is  x∈(-I, -0.125)

A segment of a curve is said to be concave up if the y-value increases rapidly from left to right. The curve would resemble the interior of a bowl if viewed from above.

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Answer: The adult height of a girl who was 34 inches tall at age 2 is = 64.98 inches.

The adult height of a boy who was 33 inches tall at age 2 is = 67.91 inches.

Step-by-step explanation:

Given data,

PHYSIOLOGY If you know how tall you were at the age of 2, you can estimate your adult height (in inches).

Girls can use the expression 25+ 1.17h

where, h is the height (in inches) at the age of 2.

and, Boys can use the expression 22.7 + 1.37h.

So,

Let adult height of boys is represented by = y and

Let adult height of girls is represented by = x

From the equation,

adult height of girls expression is x = 25+ 1.17h

adult height of boys expression is y = 22.7 + 1.37h

First we can solve option a,

We have been asked to find the adult height of a girl who was 34 inches tall at age 2.

                         x = 25+ 1.17h

where, h = 34 inches

                          x = 25 + 1.17 (34)

                          x = 25 + 39.78

                          x = 64.98 inches

Therefore,

The adult height of a girl who was 34 inches tall at age 2 is = 64.98 inches.

First we can solve option b,

We have been asked to find the adult height of a boy who was 33 inches tall at age 2.

                        y = 22.7 + 1.37h

where, h = 33 inches

                        y = 22.7 + 1.37(33)

                          y = 22.7 + 45.21

                          y = 67.91 inches

Therefore,

The adult height of a boy who was 33 inches tall at age 2 is = 67.91 inches.

So,

The adult height of a girl who was 34 inches tall at age 2 is = 64.98 inches.

The adult height of a boy who was 33 inches tall at age 2 is = 67.91 inches.

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Answer:

seeing as no one is answering I will

Answer:

-8

Step-by-step explanation:

m = -128/16 =-8

-8

i hope you get answer and give 5 hearts in my answer

Answer:

2 1/2 divided by 5/2 is 1.

6 3/4 divided by 2 1/4 is 3

3 divided by 2/3 is 9/2.

1/3 divided by 3 is 1/9.

Step-by-step explanation:

hope I helped

Answer:

i don't have an answer but im here so the guy above me can get brainliset

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2+5xi)(7-xi)=2(7-xi)+5xi(7-xi)

=14-2xi+35xi-5x²i²

=14+33xi-5x²(-1)

=14+33xi+5x²

=14+5x²+33xi

Answer:

x = 0.2(10^y/a).

Step-by-step explanation:

y = alog(5x)

y = log(5x)^a)   By the definition of a log:

(5x)^a  = 10^y

5x = (10^y) ^ 1/a

x = 0.2(10^y/a)

Answer:

80 or 100

Step-by-step explanation:

hope you find the answer

Answer:

it's 105°

solution:-

Because we know that exterior angle of a triangle is equal to it's sum of the opposite interior angles.

Step-by-step explanation:

therefore,

ATP(according to the problem) - sum of opposite interior angles = ?

- 80°+25°= 105°

(Ans) is 105°

Answer:

y = -x + 7

Step-by-step explanation:

y = x + 4   slope: 1

slope of perpendicular line: -1

for (2,5)   y interception (b) = y - mx = 5 - (-1)*2 = 7

equation: y = -x + 7

check: -x+7 = -2+7 =5

The zeros of the polynomial P(x) are x = 1/2, x = -3, x = -1, and x = 2. These are the values of x that make P(x) equal to zero.

To find the zeros of the polynomial P(x), we need to set it equal to zero and solve for x:
(2x - 1)(x+3)(x+1)(x-2) = 0

We know that a product of factors equals zero if and only if at least one of the factors is equal to zero.

Therefore, we can set each factor equal to zero and solve for x:
2x - 1 = 0  or  x+3 = 0  or  x+1 = 0  or  x-2 = 0

Solving each of these equations, we get:
2x - 1 = 0  -->  x = 1/2
x+3 = 0  -->  x = -3
x+1 = 0  -->  x = -1
x-2 = 0  -->  x = 2

Therefore, the zeros of the polynomial P(x) are x = 1/2, x = -3, x = -1, and x = 2. These are the values of x that make P(x) equal to zero.

We can also see from the factored form of the polynomial that each factor corresponds to a root or zero of the polynomial.

The factor (2x - 1) corresponds to the root x = 1/2, the factor (x+3) corresponds to the root x = -3, the factor (x+1) corresponds to the root x = -1, and the factor (x-2) corresponds to the root x = 2.

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Real estate license candidates who score 75 or better on the examination leave the test center with their passing results or a certificate.

In order to obtain a real estate license, candidates must pass a state-administered exam that tests their knowledge of real estate principles, practices, and laws. The examination includes questions on a wide range of topics, including property ownership, financing, contracts, agency, property management, appraisal, and more.

If candidates obtain a passing score, that is 75 or higher, then they will leave the testing center with their results. Then, they will be granted a certificate that shows they have passed the examination. With this certificate, the candidate will apply for a real estate license through their state's regulatory body.

Once they receive their license, they can start working in the real estate industry as licensed agents, brokers, or other related professionals.

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The factored form of the expression \(x^2 - 9\) is \((x+3)(x-3)\)

The expression x^2 + 9 has no real roots hence cannot be factored

Quadratic equations are equations with a degree of 2.

Given the quadratic function \(x^2-9 \ and \ x^2+9\)

For the function \(x^2 - 9\)

\(=x^2-9\\=x^2-3^2\)

Using the difference of two squares:

\(a^2-b^2=(a-b)(a+b)\\x^2-3^2=(x-3)(x+3)\)

For the expression x^2 + 9

The expression x^2 + 9 has no real roots hence cannot be factored

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do you want us to show how we solved it too?

Answer:

y ≥ 2

x ≥ 3

6x + 8y ≤ 40

Step-by-step explanation:

Answer:

Step-by-step explanation:

To fully answer this question, I would need the information presented in Figure 3.14 that provides the computer solution. Unfortunately, I cannot access or view specific figures or external sources. However, I can explain the general approach to solving such a problem and provide a LaTeX code snippet to format the question.

To solve the given problem, it appears to be a linear programming problem where the goal is to optimize the total annual return subject to certain constraints. The decision variables are the number of shares of US Oil (U) and Huber Steel (H) to be purchased.

a. The optimal solution would provide the values of U and H that maximize the total annual return while satisfying the given constraints. The value of the total annual return would be the objective function value at the optimal solution.

b. The binding constraints are those that are active and determine the solution. These constraints limit the risk index, the total investment amount, and the maximum number of shares of US Oil. Interpretation of these constraints would depend on the specific problem and its context.

c. The dual values for the constraints represent the marginal values or shadow prices associated with each constraint. They indicate the rate of change in the objective function value for a small change in the right-hand side of the constraint. Interpretation of dual values would also depend on the specific problem and its context.

d. The impact of increasing the maximum amount invested in US Oil would depend on the objective function and the constraints. It could lead to a higher total annual return if US Oil has a higher return rate and the constraint on the risk index or total investment amount allows for it. However, if the maximum number of shares of US Oil is already binding, increasing the maximum investment amount would not be beneficial.

Please provide any additional information or specific values from Figure \(3.14\) if you have access to it, and I can assist further.

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Answer:

A=90° C=30° a=8

Step-by-step explanation:

A=90° C=30° a=8

Answer: Z<4

Step-by-step explanation:

Rearrange the equation

-3(z-6) - (2z-2)>0

-3z+18-2z+2>0

-5z +20>0

-5(z-4)>0

divide  both side by -5

z-4<0

z<4

Rolle's Theorem has the following conditions:

f(x) must be continuous in [a,b]

f(x) must be differentiable in (a,b)

f(a) = f(b)

What is rolle's theorem?

Following are the prerequisites for Rolle's Theorem:

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System of inequalities is basically a set of two or more inequalities in one or more than one variable. System of inequalities have multiple solutions & there is more than one constraints on the particular solutions. Here, are symbol used in inequalities .

→ > is the greater than symbol. The quantity to the left of the symbol is greater than the quantity to the right .

→ < is the less than symbol. The quantity to the left of the symbol is less than the quantity to the right .

→ ≥ is the greater than or equal to symbol. The quantity to the left of the symbol is either greater than the quantity to the right, or it is equal to the quantity to the right.

→ ≤ is the less than or equal to symbol. The quantity to the left of the symbol is either less than the quantity to the right, or it is equal to the quantity to the right.

→ ≠ is the not equal to symbol. The quantity to the left of the symbol is not equal to the quantity to the right

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