Give a parametric representation for the surface consisting of the portion of the plane 3x+2y+6z=5 contained within the cylinder x2+y2=81. Remember to include parameter domains.

Answer:

= −10/81g^2+2/27g

Step-by-step explanation:

---------------

The magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.

The value of the net electrostatic force on the 5.0-nC

charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0),

charge Q2 = −1.0 nC is at (0, 0.10 m), and

charge Q3 = 5.0 nC is at (0, 0) can be calculated as follows:

Given data,Charge Q1 = 6.0 nC is at (0.30 m, 0),

Charge Q2 = -1.0 nC is at (0, 0.10 m),

Charge Q3 = 5.0 nC is at (0, 0)

The formula to find out the force on the third charge Q3 is:

                      F = k * |Q1 * Q3| / r1^2 + k * |Q2 * Q3| / r2^2

Here, k = 8.99 × 10^9 N·m^2/C^2, Q1 = 6.0 nC, Q2 = -1.0 nC, Q3 = 5.0 nC

For the third charge Q3, the distance from Q1 is:

                                r1 = √(0.3^2 + 0^2) = 0.3 m

And the distance from Q2 is: r2 = √(0^2 + 0.1^2) = 0.1 m

Substituting all the given values in the formula:

                               F = 8.99 × 10^9 * [ (6.0 × 10^-9 * 5.0 × 10^-9) / 0.3^2 ] + 8.99 × 10^9 * [ (-1.0 × 10^-9 * 5.0 × 10^-9) / 0.1^2 ]F = 6.21 N

Therefore, the magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.

Learn more about net electrostatic force

brainly.com/question/30076646

#SPJ11

Answer:

4 feet tall

Step-by-step explanation:

First find the unit rate of how close she is to being completed / the height of the tower

2.5/5 =.5

Next, multiply .5x8 = 4 feet fall when she is done

Answer:

just gusset

Step-by-step explanation:

Answer:

81.64 inches.

Step-by-step explanation:

You're looking for circumference here.

d = diameter of the wheel

d = 26 inches.

Input your values:

C = π * d

C = 3.14 * d

C = 3.14 * 26 inches

C = 81.64 inches.

Answer:

C≈81.68 in. thus B is the answer (I used more digits for π).

Step-by-step explanation:

Formula C=2πr

The score with the highest relative position is (a, b, or c), since the (IQR, mean, score, z score, or percentile) = a is highest.

Given the mean x and standard deviation s, the formula to translate a score x1 to its equivalent z-value is as follows:

\(z = \frac{x - x1}{s}\)

Using (1), the z-scores on the tests in parts (a)-(c) will be as follows:

(a)The comparable z-score for a given score of x = 3.4 will be where x1 = 4.3 and s = 1.5.

\(z=\frac{x - x1}{s} \\\)

= 3.4-4.3/1.5

= -0.6

(b) The standard deviation is 170 and the mean is x1 = 770. Therefore, for a score of x = 650, the appropriate z-score will be

z = 650-770/170

= -0.71

(c) Last but not least, a mean of x1 = 49 and a standard deviation of s = 4 will result in the following z-score for a given score of x = 41:

z = 41-49/4

= -2

The score in (a) has the highest relative z-score of the three values shown above, making it the highest grade relative to the other two.

Learn more about Relative position:

https://brainly.com/question/15414639

#SPJ4

Complete question:

Which score indicates the highest relative position? Round your answer to two decimal places, if necessary.

(a) A score of 3.4 on a test with x = 4.3 and s = 1.5.

(b) A score of 650 on a test with x = 770 and s = 170.

(c) A score of 41 on a test with x = 49 and s = 4.

The score with the highest relative position is (a, b, or c), since the (IQR, mean, score, z score, or percentile) = _____ is highest.

According to the solving the rate at which the area of the circle increases when the radius is 8 m.

= 64π m²/s.

The "space enclosed within the perimeter or the boundary" of the specified shape is what is referred to as the area of a shape. Using mathematical methods, we determine the area of various shapes.

Using the equation of circle formula, we can determine the equation of any circle given its radius and center coordinates. (x−x1)2+(y−y1)2=r2 ( x − x 1 ) 2 + ( y − y 1 ) 2 = r 2 . is the equation for the circle formula.

The area of a circle (A) with radius (r) is given by

A = πr²

According to the dA/dt rule:

\(\frac{dA}{dt} = \frac{d(π r^2)}{dt}\)

= (dr/dt) = 2 πr(dr/dt)

given:

(dr/dt) = 4m/s.

dA/dt = 2 πr(4).

dA/dt = 8πr.

When r = 8m.

Substituting the value we get:

= dA/dt = 8πr.

= dA/dt = 8π8.

=dA/dt = 64π m²/s.

According to the solving the rate (in m2/s) at which the area of the circle increases when the radius is 8 m.

= 64π m²/s.

To know more about area of a shape visit:

https://brainly.com/question/11989469

#SPJ4

The mean vector of p(w) is zero, and the covariance matrix is a diagonal matrix with the variances of each element of w along the diagonal.

a. The likelihood function py(y|r) describes the probability distribution of the observed variable y given the Gaussian random variable r. Since y = A + b*r + w, we can express the likelihood as:

py(y|r) = p(y|A, b, r, w)

Given that w is an independent Gaussian noise with zero mean and covariance matrix , we can write the likelihood as:

py(y|r) = p(y|A, b, r) * p(w)

Since r is a Gaussian random variable with mean and covariance matrix 2r, we can express the conditional probability p(y|A, b, r) as a Gaussian distribution:

p(y|A, b, r) = N(A + b*r, )

Therefore, the likelihood function can be written as:

py(y|r) = N(A + b*r, ) * p(w)

b. The distribution p(w) is given as the product of the individual probability densities of the elements of w. Since w is an independent Gaussian noise, each element follows a Gaussian distribution with zero mean and variance from the diagonal covariance matrix. Therefore, we can write:

p(w) = p(w1) * p(w2) * ... * p(wn)

where p(wi) is the probability density function of the ith element of w, which is a Gaussian distribution with zero mean and variance .

To compute the mean and covariance of p(w), we can simply take the means and variances of each individual element of w. Since each element has a mean of zero, the mean vector of p(w) will also be zero.

For the covariance matrix, we can construct a diagonal matrix using the variances of each element of w. Let's denote this diagonal covariance matrix as . Then, the covariance matrix of p(w) will be:

Cov(w) = diag(, , ..., )

Each diagonal element represents the variance of the corresponding element of w.

In summary, the mean vector of p(w) is zero, and the covariance matrix is a diagonal matrix with the variances of each element of w along the diagonal.

learn more about "Probability":- https://brainly.com/question/251701

#SPJ11

Answer:

x=7/2

Step-by-step explanation:

first, multiply 3/4 and 5/8 into the () to get rid of them.

3/4x -3/4 = 5/4x -5/2

next, combine like terms

5/4x -3/4x = -3/4 +5/2

1/2x = -3/4 +10/4 = 7/4

divide both sides by 1/2

x= 7/2

Answer:

5/80 = 0.0625

Answer:

2.25

Step-by-step explanation:

-9/-4= 2.25

I did the work and it's what the person above me said.

Answer:

3 1/2

Step-by-step explanation:

Answer:

B. \(\triangle UVZ \cong \triangle VYX\), SSS

The congruent statement and the reason why the triangles are congruent is (b) ΔUVZ ≅ ΔVYX, SSS

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

Triangles = UVZ and VYX

There are several theorems that make any two triangles to be congruent

One of these theorems is the SSS congruent theorem

The SSS congruent theorem implies that the corresponding sides of the triangles in question are congruent

From the question, we can see that the following corresponding sides on the triangles UVZ and VYX have the same mark

UV and VY

UZ and VX

VZ and YX

This implies that these sides are congruent sides

Hence, the congruent statement on the congruency of the triangles is (b) ΔUVZ ≅ ΔVYX and the reason is by SSS

Read more about congruent triangles at

https://brainly.com/question/1675117

#SPJ1

Answer:

35%

Step-by-step explanation:

40%+25%=65%

100%-65%=35%

Plotting the data on a graph can help you identify the outliers or points that don't fit the pattern.

The dataset, you can use it to identify the points that don't fit the pattern.

The points that don't fit the pattern in a dataset.

The points that don't fit the pattern in a dataset, you can use several methods such as:

Visualization:

Plotting the data on a graph can help you identify the outliers or points that don't fit the pattern.

You can use various graph types such as scatter plots, line graphs, box plots, etc., to visualize the data.

Statistical methods:

You can use statistical methods such as standard deviation, z-score, or regression analysis to identify the outliers or points that don't fit the pattern.

Domain knowledge:

If you have domain knowledge about the dataset, you can use it to identify the points that don't fit the pattern.

If you know that a particular event occurred during a specific period, you can use it to explain the anomaly in the data.

The points that don't fit the pattern, you can investigate why they don't fit the pattern.

It could be due to measurement errors, data entry errors, or a genuine anomaly in the data.

Understanding why certain data points don't fit the pattern can provide insights into the data and improve the accuracy of the analysis.

For similar questions on fit the pattern

https://brainly.com/question/31680363

#SPJ11

Answer:

735 students

Step-by-step explanation:

create a proportion of students to teachers

let 's' = # of students

\(\frac{15}{1}\) = \(\frac{s}{49}\)

cross-multiply to get:

s = 735

Given the equation x² + y² + 4x - 8y + 11 = 0, the center of the circle is (-2, 4).

The standard form of the equation of circle is given by

(x - h)² + (y - k)² = r²

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x² + y² + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h² + k² - r².

If the equation of the circle in general form is x² + y² + 4x - 8y + 11 = 0, then the coefficients are:

D = 4

E = -8

F = 11

If D = -2h and D = 4, then

4 = -2h

h = -2

If E = -2k and E = -8, then

-8 = -2k

k = 4

Hence, the center of the circle is (h, k) = (-2, 4).

Learn more about equation of a circle here: brainly.com/question/1559324

#SPJ4

Answer:

Y=18

Step-by-step explanation:

18+13=30 30*3=90

The quadratic inequality defined on the graph is given as follows:

y ≥ 2/3(x + 3)² - 24.

The coordinates of the vertex of the quadratic function are given as follows:

(-3, -24).

Hence the quadratic function is given as follows:

y = a(x + 3)² - 24.

In which a is the leading coefficient.

When x = 3, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(3 + 3)² - 24

36a = 24

a = 24/36

a = 2/3.

Hence:

y = 2/3(x + 3)² - 24.

The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:

y ≥ 2/3(x + 3)² - 24.

More can be learned about quadratic functions at https://brainly.com/question/1214333

#SPJ1

Hey there! I'm happy to help!

A perfect square is a number whose prime factors can be multiplied together to obtain two identical factors.

Look at 64. It's prime factors are 2×2×2×2×2×2. If we multiply these 2's together to obtain two identical numbers, then 64 is a perfect square.

We see that there are six twos being multiplied. So, that means we have two groups of three twos, and since they both have three twos, they are identical! Three twos multiplied is 8, and 8²=64. Pretty cool right?

Now, we need to find identical groups of these numbers. We have two sevens, two 2's and one three. We could have two groups with one 7 and one 2, but this extra 5 would throw it off balance, so we cannot obtain two equal numbers from this.

Therefore, this number is not a perfect square.

I hope that this helps! Have a wonderful day!

Answer:4 words per minute.

Step-by-step explanation:32 divided by 8 is 4.

Answer: …………..

Step-by-step explanation:

……………..

Many states use a sequence of three letters followed by a sequence of three digits as their standard license-plate pattern. The required answer is 5036336.

Given that each three-letter three-digit arrangement is equally likely, the probability that such a license plate will contain at least one palindrome (a three-letter arrangement or a three-digit arrangement that reads the same left-to-right as it does right-to-left) is to be found.

Let's solve it.

The total number of such arrangements is

26 * 26 * 26 * 10 * 10 * 10 = 17,576,000,

and the number of palindrome arrangements is 26 * 10 + 26 = 286.

The probability that a plate will not contain any palindromes is 17,575,714 / 17,576,000.

Thus, the probability that a plate will contain at least one palindrome is:

1 - (17,575,714 / 17,576,000) = 286 / 17,576.

Therefore, the value of mm and nn are 286 and 17,576 respectively.

To obtain the answer, we need to find their product mm * nn, which is

286 * 17,576 = 5,036,336.

Hence, the required answer is 5036336.

To know more about standard license-plate visit:

https://brainly.com/question/18759861

#SPJ11

Answer:

It's probably ∠PNC

Answer:

Step-by-step explanation:

Answer:

no habla espanol

Step-by-step explanation:

We have to calculate the EAC for both the conveyor belt system.

Solutions :

Equivalent Annual Cost or (EAC) for the SYSTEM-A

\($\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times $\)tax rate )

                                \($=-855,000(1-0.23)+\left[\left(\frac{280,000}{4}\right)\times 0.23\right]$\)

                               \($= (-85,000 \times 0.77 ) + (70,000 \times 0.23)$\)

                               = $ 49,350

Year      Annual Cost flow     Present value factor    Present Value of Annual

                                                     at 10%                              cash flow

1                    -49,350                  0.909091                          -44,863.64

2                  -49,350                   0.826446                          -40,785.12

3                   -49,350                  0.751315                            -37,077.39

4                   -49,350                 0.683013                         -33,706.71  

     Total                                    $ 3.169865                       $ -156,432.86  

Therefore, Net Present value = present value of the annual cash flow - initial investment.

           = 156,432.86 - 280,000

          = $ 436,432.86 (negative)

Now the EAC or the Equivalent Annual Cost for System A :

\($\text{EAC}= \text{Net present value / (PVIFA 10 percent, 4 years)}$\)

        \($=\frac{436,432.86}{3.169865}$\)

        \($= 137,681.86 $\) dollar (negative)

\($\text{Operating cash flow } = \text{Pre-tax annual operating cost (1-tax rate )} + (\text{depreciation expense} \times $\)tax rate)

\($=79,000(1-0.23)+\left[\left(\frac{360,000}{6}\right) \times 0.23\right]$\)

\($=(-78,000 \times 0.77)+(60,000 \times 0.23)$\)

= -$ 47,030

Year      Annual Cost flow     Present value factor    Present Value of Annual

                                                     at 10%                              cash flow

1                    -47,030                  0.909091                          -42,754.55

2                  -47,030                   0.826446                          -38,867.77

3                   -47,030                  0.751315                           -35,334.34

4                   -47,030                 0.683013                            -32,122.12

5                  -47,030                  0.620921                            -29,201.93

6                  -47,030                 0.564474                            -26,547.21  

    Total                                     $ 4.355261                       $  -204,827.91

Net Present Value = Present Value of annual cash inflows – Initial Investment

\($= 204,827.91 - 360,000$\)

= -$ 564,827.91 (negative)

EAC for system B:

Equivalent Annual Cost for system B \($=\frac{\text{net present value}}{\text{PVIFA 10 \text percent, 6 years}}$\)

\($=\frac{-564,827.91}{4.355261}$\)

= -$129,688.66 (negative)

The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

Learn more about bias test from

https://brainly.com/question/32000527

#SPJ11