Question: -3x+2c=-3 for x

The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Answer:

A.  180°

Step-by-step explanation:

This is a simple subtraction problem.

212° - 32° =  180°

Step-by-step explanation:

Replace x by -3 in

F(x) = 9x - 4

F(-3) = 9(-3)-4

= -27-4

= -31

The probability of pulling a blue cube is 1/5 or 0.2 (20%), and the probability of the complementary events (pulling a cube that is not blue) is 4/5 or 0.8 (80%).

To list out the sample space, we need to consider all the possible outcomes when pulling a cube from Udi's bag. The sample space consists of all the different colors of cubes: yellow, blue, green, and red. Therefore, the sample space is as follows:

Sample space: {yellow, yellow, yellow, yellow, yellow, yellow, yellow, blue, blue, blue, green, green, red, red, red}

To calculate the probability of pulling a blue cube, we need to determine the number of favorable outcomes (number of blue cubes) divided by the total number of possible outcomes (total number of cubes in the bag). In this case, there are 3 blue cubes, so the probability of pulling a blue cube is:

Probability of pulling a blue cube = Number of blue cubes / Total number of cubes

Probability of pulling a blue cube = 3 / (7 + 3 + 2 + 3) = 3 / 15 = 1/5 or 0.2 (20%)

The complementary events to pulling a blue cube are pulling a cube that is not blue. In this case, the complementary events are pulling a yellow, green, or red cube.

The probability of the complementary events can be calculated by subtracting the probability of pulling a blue cube from 1, since the sum of the probabilities of all possible outcomes is 1. Therefore:

Probability of the complementary events = 1 - Probability of pulling a blue cube

Probability of the complementary events = 1 - 1/5 = 4/5 or 0.8 (80%)

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Step-by-step explanation:

to graph a line always find 2 points out has to go through. that means the points' coordinates make the equation true.

I usually start with x = 0.

point 1 of equation 1 is then

y = -2×0 + 6 = 6

(0, 6)

point 1 of equation 2 is then

y = (3/2)×0 - 1 = -1

(0, -1)

then I pick a value for x that makes the handling of any fractions easier. like in our case x = 2.

point 2 of equation 1 is then

y = -2×2 + 6 = -4 + 6 = 2

(2, 2)

point 2 of equation 2 is then

y = (3/2)×2 - 1 = 3 - 1 = 2

(2, 2)

oh, so I have found the intersection point right away (point 2 of both equations).

so, let's pick a different point 2 for equation 1, like x = 4

y = -2×4 + 6 = -8 + 6 = -2

(4, -2)

with these 4 points you define the 2 lines, and you have the intersection point at (2, 2).

Answer:

if there are any less than 4.84 then yes it is.

Step-by-step explanation:

please give brainliest and hope this helps

The statement for the associative property of multiplication is given as follows:

(3 × 8) × 6 = 3 × (8 × 6).

The associative property of multiplication states that the way in which factors are grouped in a multiplication problem does not change the product.

This means that when we have more than two factors, the order in which they are multiplied will not change the result of the multiplication.

Hence the statement is given as follows:

(3 × 8) × 6 = 3 × (8 × 6).

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Answer:

12 Lemons

Step-by-step explanation:

3 x 4= 12

Answer:

Rounding to the nearest minute, the time it will take for Amanda and Hannah to be 16 kilometers apart on the river is 53 minutes.

Step-by-step explanation:

Let's call the time it takes for Amanda and Hannah to be 16 kilometers apart "t" (in hours). During this time, Amanda will have kayaked down the river a distance of 9t kilometers, and Hannah will have jet-skied up the river a distance of 42t kilometers. So, their total separation will be 9t + 42t = 51t kilometers. Setting this equal to 16, we get:

51t = 16

t = 16 / 51

To convert this to hours and minutes, we can multiply by 60 to convert the fraction to minutes:

t = 16 / 51 * 60 = approximately 53.33 minutes

Answer:

100,000

Step-by-step explanation:

f(x) = -x +5 and g(x) = x^2 -3x +2 are the functions and (1, 0) and (2, 0) these are the solutions to the system of equations.

To graph the system of equations, you'll need to graph each function separately and then identify the point(s) where they intersect. 1. f(x) = -x + 5

This is a linear equation with a slope of -1 and a y-intercept at (0, 5). To graph this function, start at the y-intercept (0, 5) and use the slope to plot more points, such as (1, 4) and (2, 3). 2. g(x) = x^2 - 3x + 2 .

This is a quadratic equation in the form of g(x) = ax^2 + bx + c. The graph will be a parabola opening upwards. To graph this function, first find the vertex by calculating the x-coordinate of the vertex with the formula x = -b/2a (in this case, x = 3/2).

Then, plug this value into the equation to find the y-coordinate of the vertex (g(3/2) = (3/2)^2 - 3(3/2) + 2). The vertex is at (3/2, -1/4). Plot this point, and also plot other points, such as (1, 0) and (2, 0).

After graphing both functions, observe where they intersect. In this case, they intersect at two points: (1, 0) and (2, 0). These are the solutions to the system of equations.

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Answer:

C) (1,3)(2,4)(3,5)(4,6)(5,7)(6,8)

Step-by-step explanation:

Hope it helps you:)

Answer:

The zeros of a function are the points where the graph of the function crosses the x-axis.

Clearly Graph in option D could be the function which has 5 zeroes as it passes through the axis at 5 points.

Step-by-step explanation:

The graph of the function will intersect the x-axis five times. Then the correct option is D.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

If the function f has five distinct zeros.

Then the graph represents the complete graph of the function in the xy-plane will be

We know that the zeroes of the function are the intersection points of the x-axis and the function.

That means the graph will intersect the x-axis five times.

Then the correct option is D.

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Answer:

x1 = -4

y1 = 2

x2 = 0

y2 = 3

m = (y2 - y1) / (x2 - x1)

Plug in the numbers and evaluate m, then either of the 2 equations below represents the line in point slope form:

y - y1 = m(x - x1)

y - y2 = m(x - x2)

Plug in the numbers.  The slope intercept form is  

y = mx + b

b = 3 (given)

m = result from earlier step

You convert to standard from and finish from here.

To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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Answer: 7.5

Step-by-step explanation:

The formula for the area of a triangle is height times base (or width) divided by 2. It is written as:

BxH/2

So when you put your numbers in the calculator you get this:

3×5/2=7.5

Hope this helps :)

Answer:

m = - 2

Step-by-step explanation:

The terms between consecutive terms have a common difference, that is

a₂ - a₁ = a₃ - a₂ ( substitute values )

6m - 2 - (8m + 1) = 2m - 9 - (6m - 2) ← distribute parenthesis on both sides

6m - 2 - 8m - 1 = 2m - 9 - 6m + 2 , that is

- 2m - 3 = - 4m - 7 ( add 4m to both sides )

2m - 3 = - 7 ( add 3 to both sides )

2m = - 4 ( divide both sides by 2 )

m = - 2

The orthogonal complement S is the set of all vectors orthogonal to the subspace S in R5 whose third and fourth components are zero. To find S, we need to find vectors such that vu = 0 for all u in S using the dot product. The orthogonal complement S has dimension three and a basis for it is f1, f2, f3, where f1 = (1,-1,0,0,0) f2 = (0,0,1,0,0) f3 = (0,0,0,1,0).

Let's begin by defining the orthogonal complement S⊥, which is the set of all vectors orthogonal to the subspace S in question. The subspace S is defined as the set of all vectors in R5 whose third and fourth components are zero. Let's go through the steps to find S⊥.

Step 1: Determine the dimensions of S The dimension of the subspace S is two. This is because the subspace consists of vectors whose third and fourth components are zero. Therefore, only the first, second, fifth components are nonzero, making up a 3D subspace. Since S is a subspace of R5, the remaining two components can also take any value and thus the dimension of S is 2.

Step 2: Determine a basis for S To determine a basis for S, we can use the fact that the subspace is defined as all vectors whose third and fourth components are zero.

Therefore, a basis for S is given by {e1, e2}, where e1 = (1,0,0,0,0) and e2 = (0,1,0,0,0).

Step 3: Find the orthogonal complement S⊥ To find S⊥, we need to find all vectors orthogonal to S. This means we need to find vectors v such that v⋅u = 0 for all u in S. To do this, we can use the dot product: v⋅u = v1u1 + v2u2 + v3u3 + v4u4 + v5u5= v1u1 + v2u2 + v5u5We want this to be zero for all u in S. This implies:v1 + v2 = 0 andv5 = 0Therefore, S⊥ is given by the set of all vectors in R5 of the form (a,-a,b,c,0), where a, b, and c are arbitrary constants. The orthogonal complement S⊥ has dimension three, and a basis for it is {f1, f2, f3}, where:f1 = (1,-1,0,0,0)f2 = (0,0,1,0,0)f3 = (0,0,0,1,0)The above result gives us a complete characterization of S⊥.

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Answer:

√x-9=4

square on both sides

x-9=4*4

x-9=16

x=16+9

x=25

.

.hope it helps

plz mark as brainliest

\(( {x \sqrt{x} })^{x} = {x}^{x \sqrt{x} } \)

\(\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}\)

Let us first solve for L. H. S.

Substituting the value \(x\:={ \frac{9}{4} } \), we have

➼\(\:( { \frac{9}{4} \sqrt{ \frac{9}{4} } })^{ \frac{9}{4} } \)

➼\( \: ({ \frac{9}{4} \sqrt{ \frac{( {3})^{2} }{( {2})^{2} } } })^{ \frac{9}{4} } \)

➼\( \: ({ \frac{9}{4} \times \frac{3}{2} })^{ \frac{9}{4} } \)

➼\( \: ( { \frac{3 \times 3 \times 3}{2 \times 2 \times 2} })^{ \frac{9}{4} } \)

➼\( \: ({ \frac{ {3}^{3} }{ {2}^{3} } })^{ \frac{9}{4} } \)

➼\( \: ({ \frac{3}{2} })^{ \frac{9 \times 3}{4} } \)

➼\( \: ({ \frac{3}{2} })^{ \frac{27}{4} } \)

Now let us find R. H. S.

➺\(\: {x}^{x \sqrt{x} } \)

➺\(\: { \frac{9}{4} }^{ \frac{9}{4} \sqrt{ \frac{9}{4} } } \)

➺\( \: ( { \frac{ {3}^{2} }{ {2}^{2} } })^{ \frac{9}{4} \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } } } \)

➺\( \: ({ \frac{3}{2} })^{ 2 \times \frac{9}{4} \times \frac{3}{2} } \)

➺\( \: { \frac{3}{2} }^{ \frac{54}{8} } \)

➺\( \: ( { \frac{3}{2} })^{ \frac{27}{4} } \)

Since L. H. S = R. H. S

➝\( \: ({ \frac{3}{2} })^{ \frac{27}{4} } =( { \frac{3}{2} })^{ \frac{27}{4} } \)

\(\boxed{Hence\:proved.}\) ✔

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

In "Their Eyes Were Watching God," Hurston explores themes of racial identity through the protagonist, Janie Crawford.

Zora Neale Hurston, a notable African American author and anthropologist, wrote numerous texts where she explored themes of racial identity and self-perception. Her most famous work is "Their Eyes Were Watching God."

For instance, in "Their Eyes Were Watching God," Hurston explores themes of racial identity through the protagonist, Janie Crawford. Janie's mixed-race identity sets her apart in her predominantly black community, affecting her relationships and the way she is perceived by others. This, in turn, influences Janie's self-perception and worldview.

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Answer:

the one you have highlighted is correct

Step-by-step explanation:

Answer:

hello, yes or nou sorry jajaj

Answer:

1.6:1 and 160

Step-by-step explanation:

The step 1 will process with beginning, mapping, and optimising. The step 2 will includes matrices calculation, creating control chart and analysis.

The steps to be followed for step 1 are as follows-

Begin with value identification which is the creation of word document. Map the value stream to remove redundant activites followed by waste elimination. Then work on to improve the efficiency by using templates, headers, using keyboard shortcuts and enabling autosave.

To proceed to step 2 and check if the process could benefit from other tools, consider these three actions: 1. Calculating the metrices that includes variation and process capability. 2. Formulate the control chart for process. 3. Analyse the metrices and control chart via the SPC method.

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F=9/5C+32 is the required equation and Greg statement is true

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Given that Greg is expressing temperature in farenheit and Josh expressing it in the celsius.

C=5/9(F-32)

We need to rewrite the formula so that Josh can quicly convert the temperature that Greg describes F.

F=9/5C+32

The temperature where John leaves has 77 F.

Let us convert to celsius.

C=5/9(77-32)

C=5/9(45)

C=5(5)

C=25 degrees.

25 degress< 30 degrees.

Hence, F=9/5C+32 is the required equation and Greg statement is true.

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The amount of copper in a body that weighs 150 pounds in standard form is 1.4357 x 10^-5

Given,

The human body contains tiny amounts of copper.

The exact amount of copper is 2.3 x 20^-4 for a person weighing 150 pounds.

We need to find how much copper is in the body of a 150-pound person and write in standard form.

It is a way of writing a number in a decimal number between 1 and 10 along with a power of 10.

Find the amount of copper in a body that weighs 150 pounds.

We have,

2.3 x 20^-4 for a person weighing 150 pounds.

Write 2.3 x 20^-4 in standard form.

2.3 x 20^-4 can be written as:

= 2.3/20^4

= 2.3 / 160000

= 0.000014375

= 1.4375 / 100000

We need a decimal point between 1 and 10 so,

1.4357 x 10^-5 is our answer.

Thus the amount of copper in a body that weighs 150 pounds in standard form is 1.4357 x 10^-5

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Answer:

he should save $70 each week

Step-by-step explanation:

1200 - 640 = 560

560/8 = 70

The Cpk (Process Capability Index) for this machine is 0.5 (rounded to 3 decimal places).

To calculate the Cpk (Process Capability Index), we need to consider the specification limits and the process variation.

The Cpk is given by the formula:

Cpk = min[(USL - μ) / (3σ), (μ - LSL) / (3σ)], Where:

USL = Upper Specification Limit

LSL = Lower Specification Limit

μ = Process mean

σ = Process standard deviation

In this case, the Upper Specification Limit (USL) is 2 + 0.004 = 2.004 inches, and the Lower Specification Limit (LSL) is 2 - 0.004 = 1.996 inches.

Given that the process mean (μ) is 2.001 inches and the process standard deviation (σ) is 0.002 inch, we can substitute these values into the formula:

Cpk = min[(2.004 - 2.001) / (3 * 0.002), (2.001 - 1.996) / (3 * 0.002)]

Cpk = min[0.003 / 0.006, 0.005 / 0.006]

Cpk = min[0.5, 0.833]

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The smallest positive integer n so that,

$$\renewcommand{\arraystretch}{1.5} \begin{pmatrix} -\frac{\sqrt{2}}{2} \frac{1}{n} \\ \frac{\sqrt{2}}{2} \frac{1}{n} \end{pmatrix}$$is a column matrix that contains integers,

we can write it as follows. $$\begin{pmatrix} -\frac{\sqrt{2}}{2} \frac{1}{n} \\ \frac{\sqrt{2}}{2} \frac{1}{n} \end{pmatrix} = \begin{pmatrix} -\frac{1}{\sqrt{2}} \\ \frac{1}{\sqrt{2}} \end{pmatrix} \frac{1}{n}.$$Since n has to be an integer, we have to find the smallest positive integer n for which the right-hand side is a column matrix containing integers. Since the left-hand side has a factor of 1/n, we can see that the smallest value of n must be a divisor of the denominator of the left-hand side. The denominator of the left-hand side is $\sqrt{2}/2$. If we multiply this by 100, we get 70.710678.

Therefore, the smallest positive integer n that satisfies the equation is the smallest divisor of 70.710678. This is 2, and it gives us the column matrix $$\begin{pmatrix} -\frac{1}{\sqrt{2}} \\ \frac{1}{\sqrt{2}} \end{pmatrix}.$$Therefore, the smallest positive integer n is 2.

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The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.

When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.

For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.

Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.

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Answer:

x = -1

Step-by-step explanation:

With the axis of symmetry, think of it as where you would slice this line in half, and both sides would look identical to each other. Since this is a quadratic function, this would be at where the vertex is.

The vertex is the part of the line where it "turns" around and starts going the other way. So vertex of this line is at (-1, 3).

Therefore, the axis of symmetry is at x = -1. This is since the function is pointing either up/down, and any value that is x = _ is a vertical line.