Solve the equation.
-3x-5=16

What does 'x' equal?

Answer:

4x-17

Step-by-step explanation:

The flux of the field \(\(\mathbf{F}(x, y, z) = z^3\mathbf{i} + x\mathbf{j} - 6z\mathbf{k}\)\) outward through the given surface is zero (0).

To find the flux of the vector field\(\(\mathbf{F}(x, y, z) = z^3\mathbf{i} + x\mathbf{j} - 6z\mathbf{k}\)\)outward through the given surface, we'll first need to parameterize the surface.

The parabolic cylinder is defined by \(\(z = 1 - y^2\)\), and it is bounded by the planes \(\(x = 0\), \(x = 2\),\)and \(\(z = 0\).\)

Let's denote the surface by S and split it into four parts:\(\(S_1\), \(S_2\), \(S_3\)\), and \(S_4\) corresponding to the planes \(\(x = 0\), \(x = 2\),\) and \(\(z = 0\)\)respectively.

1. For the plane (x = 0), the surface is a rectangle bounded by \(y\) and \(z\) coordinates. We can parameterize this surface as \(\(\mathbf{r}_1(y, z) = \mathbf{i} \cdot 0 + y\mathbf{j} + z\mathbf{k}\),\)  where \(\(0 \leq y \leq 1\)\) and \(\(0 \leq z \leq 1 - y^2\).\)

2. For the plane (x = 2), the surface is another rectangle with bounds on (y) and (z). We can parameterize this surface as \(\(\mathbf{r}_2(y, z) = 2\mathbf{i} + y\mathbf{j} + z\mathbf{k}\), where \(0 \leq y \leq 1\) and \(0 \leq z \leq 1 - y^2\).\)

3. For the plane \(z = 0\), the surface is a curve in the \(xy\)-plane. We can parameterize this surface as \(\(\mathbf{r}_3(x, y) = x\mathbf{i} + y\mathbf{j}\)\), where \(\(0 \leq x \leq 2\)\) and\(\(-1 \leq y \leq 1\).\)

4. The parabolic surface is already parameterized as\(\(z = 1 - y^2\)\), so we can use \(\(\mathbf{r}_4(x, y) = x\mathbf{i} + y\mathbf{j} + (1 - y^2)\mathbf{k}\),\) where \(\(0 \leq x \leq 2\) and \(-1 \leq y \leq 1\).\)

Next, we calculate the outward unit normal vector for each surface:

1. For \(S_1\), the outward unit normal vector is \(\(\mathbf{n}_1 = -\mathbf{i}\).\)

2. For \(\(S_2\)\), the outward unit normal vector is \(\(\mathbf{n}_2 = \mathbf{i}\).\)

3. For \(\(S_3\)\), the outward unit normal vector is \(\(\mathbf{n}_3 = -\mathbf{k}\).\)

4. Given \(\(\mathbf{r}_4(x, y) = x\mathbf{i} + y\mathbf{j} + (1 - y^2)\mathbf{k}\),\)we can calculate the partial derivatives as follows:

\(\(\frac{\partial \mathbf{r}_4}{\partial x} = \mathbf{i}\)\)and \(\(\frac{\partial \mathbf{r}_4}{\partial y} = \mathbf{j} - 2y\mathbf{k}\)\)

Now, we can calculate \(\(\mathbf{n}_4\)\) as follows:

\(\(\mathbf{n}_4 = \frac{-\frac{\partial z}{\partial x}\mathbf{i} - \frac{\partial z}{\partial y}\mathbf{j} + \mathbf{k}}{\left|\frac{\partial z}{\partial x}\mathbf{i} + \frac{\partial z}{\partial y}\mathbf{j} - \mathbf{k}\right|} = \frac{-\mathbf{i} - (\mathbf{j} - 2y\mathbf{k}) + \mathbf{k}}{\left|-\mathbf{i} - (\mathbf{j} - 2y\mathbf{k}) - \mathbf{k}\right|}\)\(= \frac{-\mathbf{i} - \mathbf{j} + 2y\mathbf{k} + \mathbf{k}}{\left|-\mathbf{i} - \mathbf{j} + (2y + 1)\mathbf{k}\right|} = \frac{-(1+\mathbf{i} + \mathbf{j} - 2y\mathbf{k})}{\left|1 + \mathbf{i} + \mathbf{j} - (2y + 1)\mathbf{k}\right|}\) \(= \frac{-(1+\mathbf{i} + \mathbf{j} - 2y\mathbf{k})}{\sqrt{1 + 1 + 1 + (2y + 1)^2}}\)\)

Thus, the outward unit normal vector \(\(\mathbf{n}_4\) is \(\frac{-(1+\mathbf{i} + \mathbf{j} - 2y\mathbf{k})}{\sqrt{3 + (2y + 1)^2}}\).\)

Please note that we have calculated \(\(\mathbf{n}_4\)\) for the surface \(\(S_4\)\)only. The complete answer requires evaluating the flux for all four surfaces and summing them up.

When we calculate the outward unit normal vector for each surface, we find that \(\(S_1\)\) and \(\(S_2\)\)have normal vectors pointing in opposite directions, while \(\(S_3\)\) and\(\(S_4\)\) also have normal vectors pointing in opposite directions.

Due to this symmetry, the flux of the vector field outward through one surface cancels out the flux through the corresponding opposite surface. Therefore, the net flux through the entire surface is zero (0).

Learn more about parabolic here: https://brainly.com/question/14003217

#SPJ11

The complete question is:

Find the flux of the field  \(\(\mathbf{F}(x, y, z) = z^3\mathbf{i} + x\mathbf{j} - 6z\mathbf{k}\)\) outward through the surface cut from the parabolic cylinder \(\(z = 1 - y^2\)\)

by the planes x=0,x=2, and z=0. The flux is (Simplify your answer

The correct option regarding the correlation coefficient is that A. I can’t be confident at all; this is about as close to a random guess as you can get.

The correlation coefficient is a statistical measure of the strength of a two-variable linear relationship. Its values can range between -1 and 1. A correlation coefficient of -1 denotes a perfect negative, or inverse, correlation, in which values in one series rise while those in the other fall, and vice versa.

A coefficient of one indicates that there is a perfect positive correlation, or a direct relationship. A correlation coefficient of 0 indicates that no linear relationship exists. In science and finance, correlation coefficients are used to assess the degree of association between two variables, factors, or data sets.

In this case, the fat that the person gets 0 implies that it's probably a random guess. In conclusion, the correct option is A.

Learn more about correlation on:

https://brainly.com/question/27842223

#SPJ1

Answer:

x = -4

y = -3

Step-by-step explanation:

-5y + 3x = 3

-8y + 9x = -12​

Time the first equation by -3

15y - 9x = -9

-8y + 9x = -12

7y = -21

y = -3

Now put -3 in for y and solve for x

-5(-3) + 3x = 3

15 + 3x = 3

3x = -12

x = -4

Let's Check

-5(-3) + 3(-4) = 3

15 - 12 = 3

3 = 3

So, x = -4 and y = -3 is the correct answer.

Answer:

Step-by-step explanation:

Here,

These two angles when added forms a 180° that straight line .

Hence,

These are supplementary angles.

Answer:

128 cu and can I have brainliest.

Step-by-step explanation:

V = L*W*H

V = 8*4*4

V=128 cu

The first five terms of the sequence b_n = (-1)^n(4n-4) starting with n = 1 are: -4, 8, -12, 16, -20.

The sequence bn = (-1)^n(4n - 4) is an alternating sequence, where each term alternates in sign between positive and negative. The first term is 0, and every other term after that is also 0. This is because when n is odd, (-1)^n is equal to -1, and when n is even, (-1)^n is equal to 1. Therefore, the expression simplifies to 0.

For the even terms (n = 2, 4, 6, ...), the expression simplifies to 8n - 8. These terms are positive and increase by 8 as n increases.

For the odd terms (n = 3, 5, 7, ...), the expression simplifies to -8n + 8. These terms are negative and decrease by 8 as n increases.

Therefore, the first five terms of the sequence are 0, 8, -8, 0, 16, and the sequence continues alternating between 0 and positive/negative multiples of 8 as n increases.

Learn more about sequence :

https://brainly.com/question/21961097

#SPJ11

There are no vectors among the options provided that are parallel to (1²2).

To determine if two vectors are parallel, we can compare their direction ratios.

Two vectors are parallel if their direction ratios are proportional.

Let's compare the given vector (1²2) with each of the options provided:

Vector (7²) (12²) (-22) (3) 12/ (ő) 4 24 3 13/​:

Comparing the direction ratios, we have:

1/7 = 2/12 = 2/-22 = 3/4 = 24/3 = 12/13.

Since the direction ratios of the given vector (1²2) are not proportional to the direction ratios of any of the options, none of the options are parallel to (1²2).

summary, none of the vectors (7²) (12²) (-22) (3) 12/ (ő) 4 24 3 13/​ are parallel to the given vector (1²2).

For similar question on vectors.

https://brainly.com/question/28028700  

#SPJ8

The rate of change of the view distance with respect to height remains constant, and it can be used to determine how much the view distance changes for a given change in height.

To find the rate of change of V with respect to h, we differentiate the equation V = 1.187h with respect to h.

dV/dh = 1.187

So, the rate of change of V with respect to h is a constant value of 1.187.

b) To find how far one can see to the horizon from an airplane window at a height of 40,000 ft, we substitute h = 40,000 into the equation V = 1.187h.

V = 1.187 * 40,000 = 47,480 feet.

Therefore, one can see to the horizon approximately 47,480 feet (or about 9 miles) from an airplane window at a height of 40,000 ft.

To find the rate of change at h = 40,000, we substitute h = 40,000 into the expression dV/dh = 1.187.

dV/dh = 1.187

Therefore, the rate of change of V with respect to h at h = 40,000 is 1.187.

The answer to part (a) indicates that the rate of change of the view distance V with respect to the height h is a constant value, regardless of the height. This means that for every increase of 1 unit in height, the view distance increases by 1.187 units.

In part (c), the rate of change at h = 40,000 confirms that for every unit increase in height from 40,000 ft, the view distance increases by 1.187 units.

Learn more about rate of change

brainly.com/question/29181688

#SPJ11

The result of this division is x + 7, and the remainder is 3x - 4. Therefore, we can write: x² + 6x - 4

How to divide given polynomials?

To divide the given polynomials, we will use long division. The first step is to divide the highest degree term of the numerator, which is x², by the highest degree term of the denominator, which is x:

      x

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

x - 1 | x² + 6x - 4

     | x² - 1x

     | -------

          7x - 4

The result of this division is x, and we write it above the long division bar. Then, we multiply the divisor x-1 by x, which gives us x² - x. We write this below the numerator, and subtract it from the numerator:

      x

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

x - 1 | x² + 6x - 4

     | x² - 1x

     | -------

          7x - 4

          ---------

               7x - 4

Now we bring down the next term of the numerator, which is -4, and repeat the process:

      x + 7

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

x - 1 | x² + 6x - 4

     | x² - 1x

     | -------

          7x - 4

          ---------

               3x - 4

The result of this division is x + 7, and the remainder is 3x - 4. Therefore, we can write:

x² + 6x - 4

x - 1 = x + 7 + (3x - 4)/(x - 1)

So, the answer is p(x) = x + 7 and k = 3. Therefore:

x² + 6x - 4

x - 1 = x + 7 + 3/(x - 1)

To know more about polynomial visit :-

https://brainly.com/question/4142886

#SPJ1

The correct table is:

Donuts 2 4 5 6

Cost 15.20 27.60 38.00 45.60

The ratio of donuts to cost is calculated by dividing the number of donuts by the cost. Let's calculate the ratios for each table:

Table 1:

Donuts 2 4 5 7

Cost 15.80 30.40 38.00 45.60

Ratio for A: 2/15.80 ≈ 0.1266

Ratio for B: 4/30.40 ≈ 0.1316

Ratio for C: 7/45.60 ≈ 0.1535

Table 2:

Donuts 2 4 5 6

Cost 15.20 27.60 38.00 45.60

Ratio for A: 2/15.20 ≈ 0.1316

Ratio for B: 4/27.60 ≈ 0.1449

Ratio for C: 6/45.60 ≈ 0.1316

Table 3:

Donuts 2 4 5 6

Cost 15.20 30.40 38.00 45.60

Ratio for A: 2/15.20 ≈ 0.1316

Ratio for B: 4/30.40 ≈ 0.1316

Ratio for C: 6/38.00 ≈ 0.1579

Table 4:

Donuts 2 4 5 7

Cost 15.80 31.60 38.00 45.60

Ratio for A: 2/15.80 ≈ 0.1266

Ratio for B: 4/31.60 ≈ 0.1266

Ratio for C: 7/45.60 ≈ 0.1535

Comparing the ratios to the given values, we find that Table 2:

Donuts 2 4 5 6

Cost 15.20 27.60 38.00 45.60

has the correct values for A, B, and C.

Learn more about Ratio here:

https://brainly.com/question/31945112

#SPJ1

V = π [(3(\(\sqrt{18/2}\))³/1) - (2(\(\sqrt{18/2}\))⁵/15)] - π [0]

Simplifying this expression will give us the final volume of the solid.

, we need to evaluate the triple integral:

V = ∫₀²π ∫₀ᵣ ∫(18 - 2r²) r dz dr dθ

Integrating with respect to z first, we have:

V = ∫₀²π ∫₀ᵣ (18 - 2r²) r dr dθ

Integrating the volume with respect to r, we get:

V = ∫₀²π [(9r² - 2/3r⁴)]ᵣ₀ dθ

Simplifying the expression inside the brackets and evaluating the integral, we have:

V = ∫₀²π (9r² - 2/3r⁴) dθ

V = π [(9/3)r³ - (2/15)r⁵]ᵣ₀

V = π [(3r³/1) - (2r⁵/15)]ᵣ₀

Learn more about volume here:

https://brainly.com/question/28058531

#SPJ11

Answer:

The shortest altitude is 6.72 cm

Step-by-step explanation:

Given that the side lengths are

24 cm, 25 cm, 7 cm

The area of a triangle =

\(A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}\)

Where;

s = Half the perimeter = (24 + 25 +  7)/2 = 28

A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²

We note that 84/7 = 12

Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7

To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude

Altitude  = A/(1/2 ×base)

Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;

We set the base to 25 cm to get;

Area of the triangle A =  1/2 × base × Altitude

84 = 1/2 × 25 × Altitude

Altitude = 84/(1/2 × 25) = 6.72 cm

The shortest altitude = 6.72 cm.

The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

Read more on mean here: brainly.com/question/9550536

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

\(x=9, AB=BC=AC=35\)

Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that \(AB=BC=AC\). We are given the lengths of all 3 sides in terms of \(x\), but we only need to set two of them equal to each other to solve for \(x\). Let's use \(AB\) and \(BC\) to solve for \(x\). We know that \(AB=BC\), \(AB=2x+17\), and \(BC=6x-19\). Therefore, we can write the following equation to solve for

\(AB=BC\\2x+17=6x-19\) (Substitute given values into equation)

Solving for \(x\), we get:

\(2x+17=6x-19\\2x+17-17=6x-19-17\) (Subtract \(17\) from both sides of the equation to isolate constants)

\(2x=6x-36\) (Simplify)

\(2x-6x=6x-36-6x\) (Subtract \(6x\) from both sides of the equation to isolate \(x\))

\(-4x=-36\) (Simplify)

\(\frac{-4x}{-4}=\frac{-36}{-4}\) (Divide both sides of the equation by \(-4\) to get rid of \(x\)'s coefficient)

\(x=9\) (Simplify)

Therefore, \(AB=2x+17=2*9+17=18+17=35\), and \(AB=BC=AC=35\). Hope this helps!  

The rewritten expression using a common factor is:

4x + 16 = 4*(x + 16)

Here we want to rewrite the expression:

4x + 16

Ussing a common factor, so let's factorize the terms.

The first one is simple:

4x = 4*x

The second one is also simple, we can write:

16 = 4*4

Then the common factor is 4, and we can rewrite the expression as:

4x + 16 = 4*(x + 16)

Learn more about common factors at:

https://brainly.com/question/219464

#SPJ1

The largest possible sample you can take from a population of 5000 football fans and still be able to calculate the standard deviation of the sampling distribution is the entire population, or 5000 people.

The standard deviation of a population is denoted as σ and can be calculated using the formula:

σ = √(Σ(x - μ)^2 / N)

where

x is each individual value in the population

μ is the mean of the population

N is the size of the population. In this case 5000 people.

When it comes to statistics and sampling, the larger the sample size, the more accurate and reliable the results will be. However, in some cases, such as when studying a small population, obtaining a large sample may not be possible.

In the case of a small town with only 5000 football fans, it would be impossible to take a sample larger than the entire population. Therefore, the largest possible sample size would be 5000 and this would allow us to calculate the standard deviation of the sampling distribution, which is a measure of the spread of the data.

This can give us an idea of how much variation there is within the population and how much confidence we can have in the results, but without more information such as the individual values and mean of the population, it is rather impossible to calculate the standard deviation.

To learn more about standard deviation visit: https://brainly.com/question/475676

#SPJ4

Answer:

f = 54°

Step-by-step explanation:

54° and f are vertical angles and are congruent, thus

f = 54°

Answer:

y = 2x - 7

Step-by-step explanation:

(1,-5) (2,-3)

y2 - y1 / x2 - x1        -3 - (-5) / 2 - 1     2/1       = 2

y = 2x + b

-3 = 2(2) + b

-3 = 4 + b

-7 = b

Answer: jasmine

Step-by-step explanation: this problem is actually pretty easy when you solve it!

all you have to do is divide 8 by 10 to find Joe’s rate, which would be 2 songs per min

then divide 12 by 15 to find jasmines rate which would be .8 songs per minute!

so because Jasmine download songs at a rate of .8 songs per minute, Jasmine is faster.

Step-by-step explanation:

Four tosses of the coin result in 2^4 = 16 possible outcomes of which FOUR

will have ONE tails :

HHHT

HHTH
HTHH
THHH      so 4 out of 16  = 4/16 = 1/4    Not very unusual

Answer:

0.07–

Step-by-step explanation:

The answer is above :)

Answer:

to express in decimal form , we have to join convert the mixed fraction into a improper fraction.

8 7/90 = d * w + n

          =  90 * 8 + 7

        =    720 + 7

          = 727 / 90

 now you have to make the denominator into a mutiple of 10

         = 727 / 90  divided by 9

        =  80 / 10

       = 0.80

Step-by-step explanation:

hope it helps .

Answer:

66

Step-by-step explanation:

it is the total people surveyed

Answer:

y=2x-5

Step-by-step explanation:

The equation of a line is commonly written in slope-intercept form, or otherwise known as y=mx+b. Mx represents the slope and b represents the y-intercept.

Answer:

The answer to the question provided is \(y = 2x-5\).

Investment in automation cost = $8,750,000 when there

no further change in capacity.

Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Following are the informations of Cent:

Current automation = 7%

Capacity of next round = 1,100

New automation = 7 + 2 = 9

Investment in automation cost = Capacity * (4 * (New automation - previous automation)) * 1000

= 1,100 * (4 * (9 - 7)) * 1,000

= 1,100 * (4 * 2) * 1000

= 1,100 * 8 * 1,000

= $8,800,000.

Investment in automation cost = $8,800,000.

Learn more about Cost and estimation here :

https://brainly.com/question/18520039

#SPJ4

In a rectangle WXYZ, if the measure of angle 1 is 30 degrees, then the measure of angle 8 can be determined.

A rectangle is a quadrilateral with four right angles. In a rectangle, opposite angles are congruent, meaning they have the same measure. Since angle 1 is given as 30 degrees, angle 3, which is opposite to angle 1, also measures 30 degrees.

In a rectangle, opposite angles are congruent. Since angle 1 and angle 8 are opposite angles in quadrilateral WXYZ, and angle 1 measures 30 degrees, we can conclude that angle 8 also measures 30 degrees. This is because opposite angles in a rectangle are congruent.
Since angle 3 and angle 8 are adjacent angles sharing a side, their measures should add up to 180 degrees, as they form a straight line. Therefore, the measure of angle 8 is 180 degrees minus the measure of angle 3, which is 180 - 30 = 150 degrees.

So, if angle 1 in rectangle WXYZ is 30 degrees, then angle 8 measures 150 degrees.

Learn more about rectangle here:

https://brainly.com/question/29123947

#SPJ11

Answer:

12 yd^3.

Step-by-step explanation:

1/2 * 3 * 4 * 2

The graph of y = 3x is a straight line that passes through the origin (0,0) and has a slope of 3.

In computer science, a graph is a collection of nodes or vertices, connected by edges or arcs, which represents a set of pairwise relationships between the nodes. Graphs are widely used in computer science and related fields as a way of representing complex networks or relationships between different entities.

Graphs can be directed or undirected. In a directed graph, each edge has a direction and represents a relationship between two nodes that is one-way. In an undirected graph, each edge represents a two-way relationship between two nodes.

Graphs can also be weighted or unweighted. In a weighted graph, each edge has a numerical weight assigned to it, which represents the strength or importance of the relationship between the two nodes it connects. In an unweighted graph, all edges have the same weight.

Graphs can be used to model a wide variety of systems and processes, including social networks, computer networks, transportation systems, and many others. They are also used in many algorithms and data structures, including shortest path algorithms, network flow algorithms, and data mining algorithms.

by the question.

Let's choose some values for x and use the equation to find the corresponding values for y:

x       y

-2       -6

-1       -3

0       0

1               3

2       6

Now we can plot these points on a graph and connect them with a straight line:

To learn more about graph:

https://brainly.com/question/17267403

#SPJ1

Lindsey and Justin must survey a random selection of two girls and two boys for each 7th grade class to get the most accurate results, so the correct choice is B.

This is so because, since precise information is required regarding a particular group of students (7th graders), it would be correct to target members of that group to obtain the first samples of information.

That is, by going to the most reliable source, a more reliable sample would be obtained.

Learn more about statistics in https://brainly.com/question/11161989