(1 point) determine whether the line integral of each vector field (in blue) along the oriented path (in red) is positive, negative, or zero.

STEP ONE: Get a common denominator.

STEP TWO: Add or subtract the numerators.

STEP THREE: Simplify the result if needed. Notice that eg: 3/27 can be simplified, since the numerator and denominator are both divisible by 3.

And that's all there is to it! Final Answer

Answer: .29

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer is a

The coordinates of point C are (-5.5, 3.2)

Coordinates:

A coordinate is a set of numbers that describes a point in a specific space. It is used to pinpoint a location, whether on a map, a graph, a plane, or in a three-dimensional space. In 2-D space, coordinates are usually written in the form (x, y), where x indicates the horizontal position and y is the vertical position of the point. In 3-D space, a third coordinate (z) is needed to specify the depth. Coordinates are also used to identify points on a graph. Finally, coordinates can be used to define a plane in three-dimensional space, where 3 coordinates are needed to define the plane’s position.

Given,

(x,y) = (x + 4.5, y -6.2)

So,

(x + 4.5, y -6.2) = (-1,-3)

Therefore;

x + 4.5 = -1

= -1 - 4.5

= -5.5

y - 6.2 =  -3

= - 3 + 6.2

= 3.2

hence, the coordinates of point C are (-5.5, 3.2)

To know more about coordinate questions visit here:

https://brainly.com/question/16877645

#SPJ1

Answer: No mistake

It seems that there are not any problems with these steps.

63:

2x3=6

3x5=15

6+15=21

x 3 =…

63

Step-by-step explanation:

The integers in the set S:{-79, 80, 39, 40) that will make the inequality 1/0.4(m - 0.4) ≤ 1/21(m - 39) false are: S:{39, 40}​.

Determine the integers

In order to determine which integers are true and false with respect to a solution of the given inequality, we would have to test the given integers by substituting their values into the inequality as follows;

For integers (-80, 79), we have:

1/0.4(m - 0.4) ≤ 1/21(m - 39)

1/0.4(-80 - 39) ≤ 1/21(-40 - 39)

1/3(-39) ≤ 1/6(-40)

-39.6 ≤p< -40 (True).

For integers (-80, 79), we have:

1/0.4(m - 80) ≤ 1/21(m - 39)

1/3(24 - 3) ≤ 1/21(24 - 12)

1/3(27) ≤ 1/6(36)

79.6 ≤ p < 80 (False).

For integers (-40, -39), we have:

1/3(27) ≤ 1/6(36)

1/3(24 - 3) ≤ 1/21(24 - 12)

1/0.4(-80 - 39) ≤ 1/21(-40 - 39)

-39.6 ≤ -40 (True).

For integers (-80, 79), we have:

1/3(m - 3) ≤ 1/6(m - 12)

1/3(12 - 3) ≤ 1/6(12 - 12)

1/3(9) ≤ 1/6(0)

3 ≤ 0 (False).

For integers (12, 24), we have:

1/3(m - 3) ≤ 1/6(m - 12)

1/3(12 - 3) ≤ 1/6(12 - 12)

1/3(9) ≤ 1/6(0)

3 ≤ 0 (False).

1/3(m - 3) ≤ 1/6(m - 12)

1/3(24 - 3) ≤ 1/6(24 - 12)

1/0.4(-80 - 39) ≤ 1/21(-40 - 39))

79.6 ≤ p < 80  (False)

1/0.4(m - 0.4) ≤ 1/21(m - 39) false are: S:{39, 40}​.

To learn more about Integers visit:

brainly.com/question/15276410

#SPJ4

Answer: A

Step-by-step explanation: when 18/20 is turned into a decimal it comes out as even and is the best one you can choose from

Parallel lines are straight lines that never meet each other no matter how long we extend them

Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline.

Numerous pairs of angles are created when a transversal line intersects any two parallel lines. While some angles are additional, others are congruent (equal).

The fundamental characteristics listed below make it simple to recognise parallel lines.

Parallel lines are defined as straight lines that are always the same distance apart.

No matter how far apart they are from one another, parallel lines can never intersect.

I've answered in general as the question is incomplete

To know more about Parallel lines here

https://brainly.com/question/16701300

#SPJ4

1. Using division operations, Amy's monthly budget for textbooks and course supplies is $100.

2. Amy's monthly budget for rent, utilities, and food is $1,422.

3. Amy's monthly budget for personal and miscellaneous costs is $251.

4. Amy's total monthly budget is $1,825

The total monthly budget is the total budget divided by the period (nine months).

We can use division operations to determine the individual monthly budgets for each expense class.

Textbooks and Course Supplies =         $900      $100

Rent, Utilities, and Food =                   $12,798   $1,422

Personal & Miscellaneous Expense = $2,259     $251

Transportation =                                      $468       $52

Total non-tuition expenses =             $16,425  $1,825 ($16,425/9)

The number of months = 9 months

Monthly expenses = $1,825

Learn more about division operations at https://brainly.com/question/4721701

#SPJ1

Answer:

I think Numerical and univariate

Step-by-step explanation:

Answer:

Step-by-step explanation:

This would be numerical and univariate because the information shown represents a stem and leaf plot.

Hope this helps! :)

Answer:

  x = √41

Step-by-step explanation:

Given a right trapezoid with bases 10 and 14, and height 5, you want the length of the angled side, x.

The length x is the hypotenuse of a right triangle with one leg 5 units and the other leg (14 -10) = 4 units. It can be found using the Pythagorean relation:

  c² = a² +b²

  x² = 5² +4² = 25 +16 = 41

  x = √41 . . . . . take the square root

We take carry 1 if there is more then 9 when we are adding or subtracting in the regrouping 4 digit number.

Given that,

We have to find how do we regroup 4 digit numbers.

We know that,

When performing operations like subtraction and addition, regrouping is accomplished by creating groups of tens. Regrouping refers to rearranging integers into place value-based groupings to facilitate operations. Because you must rearrange the numbers into place value to complete the procedure, it is known as regrouping.

Addition with regrouping or addition with carryover refers to additions where the addends' digit sums exceed 9 in any of the columns. Finding the digit sum of two integers requires regrouping. Only the units place digit of the total is then written in the appropriate column.

        (1)  (1)

   3   1    9   5

+  6   2   3    7

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

   9    4    3   2
Therefore, We take carry 1 if there is more then 9 when we are adding or subtracting in the regrouping 4 digit number.

To learn more about regrouping visit: https://brainly.com/question/11556652

#SPJ4

To find the equivalent expression, we can simplify the fraction by using the rule for exponents that says that when we divide two powers with the same base, we can subtract the exponents. Using this rule, we get:

(8^(-10)) / (8^4 * 8^0) = 8^(-10) / 8^4 = 8^(-10+4) = 8^(-6)

So the equivalent expression is: 1/8^6 = 8^(-6)

The correct answer is: 1 divided by 8 raised to the fourteenth power = 8^(-6)

To find the equivalent expression for the fraction 8^(-10)/8^4*8^0, we can use the property of exponents that states that any number raised to the power of 0 is equal to 1. Therefore, 8^0 is equal to 1.

Using the quotient rule of exponents, which states that when dividing two powers of the same base, we can subtract the exponents, we can simplify the expression to:

8^(-10)/8^4*8^0 = 8^(-10)/8^4 * 1 = 8^(-6).

Therefore, the equivalent expression to 8^(-10)/8^4*8^0 is 8^(-6). The correct answer is therefore 1 divided by 8 raised to the fourteenth power, or option A.

For given  regression model, the number 59.89 in the table tells us that for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

In this question we have been given a summary of regression model.

We need to explain the meaning of the number 59.89 in the table.

For given regression model, to view the results of the model, we can use the summary() function in R programming.

In given summary consider the 'Coefficients' table.

The first row gives the estimates of the y-intercept, and the second row gives the regression coefficient of the model.

The 'Estimate' column is the estimated effect, also called the regression coefficient or r² value.

The number 59.89 in the table is coefficient for IsSandwich.

This number tells us that for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

Therefore, the meaning of the number 59.89 in the table: for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

Learn more about the regression model here:

https://brainly.com/question/14983410

#SPJ4

The complete question is as shown in the following image

If {v1, v2, v3} is an orthogonal basis for W, then multiplying v3 by a scalar c gives a new orthogonal basis {v1, v2, cv3 } is false statement.

Orthogonal basis:

Linear algebra, the orthogonal basis V of the inner product space is the basis of V whose vectors are mutually orthogonal.

When a vector of orthogonal basis is normalized, the resulting basis is an orthonormal basis.

let W be a vector space. The set S= {v₁,v₂,v₃} is an orthogonal basis for W.

The number of basis elements in W = 3 that is the dimensions of W is three.

If we multiply v₃ by c =0, then the set becomes

{v₁, v₂, cv₃} = {v₁, v₂,0}. The dimension of the set is 2, that is less than the dimension of W. If the scalar factor is 0, then it will not give a new orthogonal basis. Since in this case the number of basis elements will be reduced by 1 hence will change dimension of W.

Therefore, The statement is False.

To learn more about Orthogonal basis, refer:

https://brainly.com/question/23555459

#SPJ4

The least squares estimated regression line is  0.5x+1.667

If your data shows a linear relationship between the X and Y variables, you will want to find the line that best fits that relationship. That line is called a Regression Line and has the equation ŷ= a + b x. The Least Squares Regression Line is the line that makes the vertical distance from the data points to the regression line as small as possible. It’s called a “least squares” because the best line of fit is one that minimizes the variance (the sum of squares of the errors).

Data rarely fit a straight line exactly. Usually, it is satisfactory with rough predictions. Typically, you have a set of data whose scatter plot appears to “fit” a straight line. This is called a Line of Best Fit or Least-Squares Line.

To know more about Least-Squares Line visit: brainly.com/question/2141008

#SPJ4

Answer:

b = a - 6

Step-by-step explanation:

Solve for b:

6 + b = a

6 + b - 6 = a - 6

b + 0 = a - 6

b = a - 6

There are 9 CD's can she place on a shelf.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Each shelf is 28 inches long and each CD is 1 3/ inch thick.

Now,

Since, Each shelf is 28 inches long and each CD is 1 3/ inch thick.

Hence, The number of CD's = 28 x 1/3

                                            = 9.33

                                            = 9

Thus, There are 9 CD's can she place on a shelf.

Learn more about the divide visit:

https://brainly.com/question/15330585

#SPJ1

Step-by-step explanation:

the 1 is 2 is 3 so what is 4?

Answer:

Step-by-step explanation:

17 is prime and the number 7 is also prime. Composite numbers are numbers have more than two factors other than 1 and itself. Like 12, 14, and 16.

The absolute maximum and absolute minimum of f(x,y) = 3 + xy -x - 2y is f(0,0) and f(1,1) respectively.

The absolute maximum point is a point where the function obtains its greatest possible value.

And Absolute minimum is a point where the function obtains its least possible value. This is the smallest value that a mathematical function can have over its entire curve.

Given equation is, f(x,y) = 3 + xy - x - 2y

we will check absolute maximum and absolute minimum of f(x,y) at the points (0,0), (1,0), (1,1).  

f(0,0) = 3 + (0)(0) - 0 - 2(0) = 3

f(1,0) = 3 + (1)(0) - 1 - 2 (0) = 2

f(1,1) = 3 + (1)(1) - 1 - 2(1) = 1

Therefore we get absolute maximum at f(0,0) and absolute minimum at f(1,1).

An absolute minimum also called a global minimum, occurs when a point of the function is lower any other point on the function within the function's domain. A local minimum also called relative minimum occurs when a point is lower than the points surrounding it.

Given question is incomplete. Complete question is:

find the absolute maximum and absolute minimum of f (x, y) = 3 + xy - x -2y  among points in the triangle with vertices (0, 0), (1, 0), and (1, 1).

To know more about maximum here

https://brainly.com/question/13176730

#SPJ4

The maximum number of automobile registrations that the police may have to check is 72 license.

Concept Introduction:-

Mathematics defines time as an ongoing and continuous series of events that take place in order, from the past to the present to the future.

Given Information:-

We have been given that a witness to a hit-and-run accident told the police that the license number contained the letters RLH followed by  3 digits, the first of which was a 5 . If the witness cannot recall the last  2 digits, but is certain that all 3 digits are different.

We have to find that the maximum number of automobile registrations that the police may have to check

According to the problem

Since digits are different, available digits are 0,1,2,3,4,6,7,8,9  ( as 5 is already used)

Number of available digits = 9

2nd digit can be any of the above 9 digits

3rd digit can be any of the remaining 8 digits

Police have to check 9*8 = 72 registrations.

Hence , The maximum number of automobile registrations that the police may have to check is 72 license.

Learn more about Combinations at :

https://brainly.com/question/11732255

#SPJ4

10% trimmed mean of the given data is xbar20 = 0.3269

In between the mean and the median, the trimmed means have some of the advantages of both without some of the disadvantages.

The 10% trimmed mean is the mean computed by excluding the 10% largest and 10% smallest values from the sample and taking the arithmetic mean of the remaining 80% of the sample (other trimmed means are possible: 5%, 20%, etc.

The 10% trimmed means omits 0.278 and 0.326 and yields

xbar10 =  0.278+ 0.285+0.299 + 0.304 + 0.306+ 0.306+ 0.306+ 0.308 +0.309 +0.310+ 0.313+ 0.313+ 0.315+ 0.317+ 0.317 +0.318+ 0.322+ 0.322+ 0.324+ 0.326 / 20

= 5.885 / 20

= 0.29

xbar = 1.29 and xbar = 1

Trimmed means are examples of robust statistics (resistant to gross error).

The 20% trimmed mean excludes the 2 smallest and 2 largest values in the sample above, and

xbar20 = 0.278+ 0.285+0.299 + 0.304 + 0.306+ 0.306+ 0.306+ 0.308 +0.309 +0.310+ 0.313+ 0.313+ 0.315+ 0.317+ 0.317 +0.318+ 0.322+ 0.322+ 0.324+ 0.326 / 18

xbar20 = 0.3269

To know more about trimmed mean

https://brainly.com/question/14671683

#SPJ4

The value for x in the given equation is -24.

Combine.  1/2 and x.

2x/6 + 24/3 = (x/6 + 14/2) -3

2x/6 + 48/6 = (x+42)/6 - 18/6

2x = 42 - 18 - 48

2x = -48

x = -24

A direct variation is a proportionality relationship in which two quantities follow a direct relationship.

An INEQUALITY is a statement which shows that two quantities are not equal or may not be equal. If two quantities are not equal, then one is greater than the other.

≥ (greater than or equal to) means at least that amount or more.

≤ (less than or equal to) means at most that amount or less.

To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation. If the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.

Please click the image to view the graph

6x + 2y > 10

Replace the input variable in the formula with the value provided.

Calculate the result.

To learn more about equation here

https://brainly.com/question/29769033

#SPJ4

The balance will be $34,677.45 in Jarad's account, at the end of 10 years.

The balance in the account is computed as illustrated follow as:

Future value = Present value (1 + r)n

Because the amount is compounded semi-annually, the interest rate is split by two and the number of time periods is multiplied by two.

So, the balance in the account is computed as follows:

= $10,000 x (1 + 0.10 / 2)10 x 2 + $5,000 x (1 + 0.10 / 2)5 x 2

= $26,532.97705 + $8,144.473134

= $34,677.45 Approximately

Thus, the balance will be $34,677.45 in Jarad's account, at the end of 10 years.

To learn more about Compound interest click here:

brainly.com/question/25857212

#SPJ1

The way to organize 100 toothpicks in a way that fits with the structure of the base ten system as well as how your organization reflects the structure of the base ten system and  others is given below.

According to the base-10 system, each digit of a number can, depending on its position, have an integer value ranging from 0 to 9 (10 possibilities). Powers of 10 are used to determine the locations or positions of the numbers. The term "base-10" refers to a system of numbers where each place is 10 times the value to its right.

Since we have 10 fingers, we employ the base 10 system. Since base 10 only uses the numerals 0 through 9 for its ten digits, students start to realize that there are only 0-9 digits in each place value.

Therefore,  This becomes very vital while adding and subtracting since, depending on the operation, if we have a digit larger than 9, we must either regroup or ungroup to make it less than 10.

Learn more about base-ten from

https://brainly.com/question/19460684
#SPJ1

a. The equation for the transformed function is y = -2(x + 4)^2 - 3.

b. The graph of the transformed function will be a parabola with a vertex located at (x,y)=(-4,-3). The parabola will open downwards, have a maximum at -3, and have a line of symmetry along the x-axis. The parabola will have an x-intercept at x=-4, and will stretch outwards to the right and left infinitely. The graph will look like a U-shaped curve that is shifted down 3 units and has a maximum at -3.

To begin, we can start with the equation of a standard parabola, y=x^2. To shift the parabola 4 units to the left, we can add a -4 to the x term in the equation, giving us y=x^2-4. To stretch the parabola vertically by a factor of 2, we can multiply the equation by -2, giving us y=-2(x^2-4). To reflect the parabola over the x-axis, we can multiply the equation by -1, giving us y=-2(x^2-4) -3. This gives us the equation y=-2(x+4)^2 - 3, which is the equation of the transformed function.

Learn more about parabola here :

https://brainly.com/question/4074088

#SPJ4

The line chart can be created using insert tab and then click line symbol in charts group.

Line chart is a type of chart with line visualization to show information of changing values over time.

Insert tab is tab in excel to insert object, symbol, chart, etc.

To create line chart,

I'm attaching a image for microsoft excel 365 version, your excel version may be different, but the line chart is still in the insert tab.

Thus, to create the line chart use insert tab and in chart group click line symbol.

Learn more about chart here:

brainly.com/question/15507084

#SPJ4

the program with the most students over the three-year period is the Office Aide program, with a total number of 10 students participating

Junior Year Senior Year

O 3 7

M 4 6

W 5 4

The program with the most students over the three-year period is the Office Aide program, with a total of 10 students participating.

1. We can start by looking at the matrices to see how many students participated in each program.

2. For the Office Aide program, there were 3 juniors and 7 seniors, for a total of 10 students.

3. For the Media Aide program, there were 4 juniors and 6 seniors, for a total of 10 students.

4. For the Work Based Learning Program, there were 5 juniors and 4 seniors, for a total of 9 students.

5. Therefore, the program with the most students over the three-year period is the Office Aide program, with a total number of 10 students participating.

Learn more about number here

https://brainly.com/question/10547079

#SPJ4