Calculate the line integral /w + V1 + a2)dx + 3rdy, where C consists of five line segments: from (1,0) to (2,0), from (2,0) to (2,1), from (2,1) to (-2,1), from (-2,1) to (-2, -2), and from (-2, - 2) to (1, -2). Hint: Use the Green's Theorem.

Answer:

25000 people will live in the country's 4th largest city

Step-by-step explanation:

The rank-size rule says that the population of a city within a country will be approximately the largest city's population divided by the rank of the city in question

So,

the 4th largest city will have 1/4th the population of the largest city,

so,

population of 4th largest city = 100000/4

= 25000

The coordinate of D’ after the dilation is (-6, 0)

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

D = (-2, 0)

Scale factor = 3

The coordinate of D’ after the dilation is calculated as

D' = D * Scale factor

Substitute the known values in the above equation, so, we have the following representation

D' = (-2, 0) * 3

Evaluate

D' = (-6, 0)

Hence, the image is (-6, 0)

Read more about dilation at

https://brainly.com/question/3457976

#SPJ1

The length and width of a rectangle that has a perimeter 48 meters and maximum area is 12 m and 12 m respectively. Here's how we can get to that conclusion:

Perimeter is defined as the sum of all sides of a polygon. A rectangle has two equal sides, thus we can find the perimeter as follows:

P = 2(l + w)

Given that P = 48 m, we have:

48 = 2(l + w)

Divide through by 2:

24 = l + w

We also know that the area of a rectangle is given by A = lw. We need to maximize this area subject to the constraint that the perimeter is 48 m. To do this, we can use the technique of completing the square and expressing the area as a quadratic function of one variable. Here's how:

24 = l + w

l = 24 − w

We can now write the area as a function of w:

A(w) = w(24 − w)

= 24w − w²

To maximize the area, we need to differentiate A with respect to w and set the result equal to zero:

dA/dw = 24 − 2w

= 0

w = 12

Plugging in w = 12, we find the corresponding value of l:

24 = l + 12

l = 12

Therefore, the length and width of the rectangle are 12 m and 12 m respectively.

Conclusion: The rectangle with perimeter 48 meters and maximum area has a length of 12 m and a width of 12 m.

To know more about length visit

https://brainly.com/question/32060888

#SPJ11

Al-Fatihah is an Islamic prayer recited during the five daily prayers. Comparing radio and television in reading Al-Fatihah from its beginning requires an analysis of how each medium conveys the prayer to its audience. Radio precedes television in reading Al-Fatihah from its beginning.

This is because radio broadcasting began in the early 1900s while television broadcasting began in the late 1940s.

This delay can range from a few seconds to a few minutes depending on several factors such as the geographical location of the audience, the strength of the signal, and the quality of the receiver. Therefore, the time difference between radio and television in reading Al-Fatihah can vary depending on the factors mentioned above.

Mathematically, the time difference between radio and television can be calculated using the formula: d = s / tWhere d is the distance between the transmitter and the receiver, s is the speed of the signal, and t is the time it takes for the signal to reach the receiver.

In this case, d is the distance between the broadcasting station and the audience, s is the speed of the signal which is constant (i.e., the speed of light), and t is the time it takes for the signal to reach the audience. Since the speed of light is approximately 299,792,458 m/s, the time it takes for the signal to reach the audience can be calculated using the following formula:t = d / s

Therefore, the time difference between radio and television in reading Al-Fatihah can be calculated by subtracting the time it takes for the radio signal to reach its audience from the time it takes for the television signal to reach its audience. This difference can range from a few milliseconds to a few minutes depending on the factors mentioned above.

In network concepts, the time difference between radio and television in reading Al-Fatihah can be affected by the bandwidth of the network. The bandwidth is the amount of data that can be transmitted over a network in a given time. If the bandwidth is low, it can cause a delay in the transmission of the signal which can affect the time difference between radio and television.

To know more about bandwidth visit :

https://brainly.com/question/31318027

#SPJ11

Answer:

The equation of the line that passes through the given points is:

Hence, option D is correct.

The graph of the line equation is also attached below.

Step-by-step explanation:

Given the points

Finding the slope between (-5, 10) and (5, -10)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-5,\:10\right),\:\left(x_2,\:y_2\right)=\left(5,\:-10\right)\)

\(m=\frac{-10-10}{5-\left(-5\right)}\)

\(m=-2\)

Using the point-slope form to determine the line equation

Point slope form:

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -2 and the point (-5, 10)

\(y-10=-2\left(x-\left(-5\right)\right)\)

\(y-10=-2\left(x+5\right)\)

Add 10 to both sides

\(y-10+10=-2\left(x+5\right)+10\)

simplify

\(y=-2x\)

Thus, the equation of the line that passes through the given points is:

Hence, option D is correct.

The graph of the line equation is also attached below.

The cafeteria should buy 40 bags of onions.

To find how many bags the cafeteria should buy, we need to divide the total number of onions needed by the number of onions in each bag:

Number of bags = Total number of onions / Number of onions in each bag

Substituting the given values, we get:

Number of bags = 800 onions / 20 onions per bag

Simplifying the expression on the right-hand side, we get:

Number of bags = 40 bags

The solution is a simple arithmetic calculation based on the formula for determining the number of bags needed to purchase, given the total number of onions necessary and the amount of onions in each bag. This approach includes dividing the total number of onions by the amount of onions in each bag to determine the number of bags needed.

learn more about division here:

https://brainly.com/question/12342242

#SPJ4

Your answer would be D: Ninety-seven and sixteen-sixths

Answer:

12.85

Step-by-step explanation:

P=1/2(3.14xd)+d

P=1/2x15.7+5

P=12.85

Answer:

i don't know lol

Step-by-step explanation:

it would be better to guess

Answer:193

Step-by-step explanation:

193.15923933 and then round to 193

Answer:

To find the sum of the two fractions, we first need to express them in a common denominator. Since the denominators of the two fractions are different, we will need to find the least common multiple (LCM) of the two denominators.

The LCM of 4 and 5 is 20, so we can express the two fractions in terms of 20 as follows:

-3 1/4 = -3 5/20

-4 2/5 = -4 8/20

Now that the two fractions have a common denominator, we can add them by adding the numerators and keeping the denominator the same:

(-3 5/20) + (-4 8/20) = (-3 + -4) 13/20 = -7 13/20

Therefore, the sum of the two fractions is -7 13/20.

The sum of −3 1/4 + (−4 2/5) is 7.65

Mixed fractions are type of a fraction which includes a whole number and a fraction.

So, any improper fraction can be written as a mixed fraction. Quotient will be the whole number and in the fractional part, numerator is the remainder and denominator will be the divisor.

[−(3 1/4)] + [−(4 2/5)] = [-(13/4)] + [-(22/5)]

When cross multiplying, we will get

-(13/4 + 22/5) = -(65 + 88)/20 = -153/20 = 7.65

Hence, the sum of −3 1/4 + (−4 2/5) is 7.65.

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

So, if you find this answer helpful, please mark as brainliest! It will support my account and everything.

Answer:

888.467.789.985.872

Step-by-step explanation:

Using the standard deviation value of these interarrival times, the coefficient of variation is 0.012.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

The standard deviation to mean ratio, or coefficient of variation (CV), illustrates the degree of variability in proportion to the population mean. The dispersion increases with increasing CV.

Formula is given by:

\(CV = \frac {\sigma}{\mu}\)

\(\sigma = 0.02\)

Mean for the time of 0.02 sec is = 79 * 0.02

=1.58

CV= 0.02/1.58

=0.012

To learn more about Coefficient of Variation visit:

https://brainly.com/question/13977805

#SPJ4

Step-by-step explanation:

Area of rectangle =height×base

4 1/2×3 3/7=9/2×24/7=216/14=15 6/14=15 3/7

Answer:

Step-by-step explanation:

According to the solving the lenght of line segment is TU = 12.

An  portion of a line with two endpoints is referred to as a line segment. A line segment, unlike a line, has a definite length.

Because T is on the line segment SU. so, addition of ST and TU must be equal to SU

SU = ST + TU..........(1)

SU = 3x -7

TU = x -1

ST = x + 7

Substituting these values into equation (1)

3x-7 = x +7 + x -1

3x -7 = 2x + 6

x = 13

For the numerical length of TU

TU = x - 1

TU = 13 - 1

TU = 12

The numerical value of tu is 12

To know more about line segment visit:

https://brainly.com/question/25727583

#SPJ13

Answer:

12.5 is your answer buddy

Answer:

Step-by-step explanation:

So, lets think of this a simpler way.

What is 1/2 of 50?

Well, thats 25. That is 50%. We want 25%, which is 1/4 of 50.

So lets divide the 25 we got in half:

25/2

=

12.5

So this is your answer!

Hope this helps!

Answer:

hmmmm... lets see the invisible numbers i dont know you tell me

Step-by-step explanation: you cant see the numbers

Answer:

Width and length.

Step-by-step explanation:

P has a width, and length.

hope this helps.

Answer:

I think it is C that would be the best answer

Example that demonstrates the contrapositive of the limit comparison test. Let's consider a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges.

Let's define the series an and bn as follows:
- an = 1/\(n^2\)
- bn = 1/n

Now, let's examine the limit:
lim(n→∞)(an/bn) = lim(n→∞)((1/\(n^2\)) / (1/n))

To simplify the limit expression, we multiply both numerator and denominator by \(n^2\):
lim(n→∞)(\(n^2\)(1/\(n^2\)) / \(n^2\)(1/n)) = lim(n→∞)(n/\(n^2\)) = lim(n→∞)(1/n)

As n approaches infinity, the limit becomes:
lim(n→∞)(1/n) = 0

Now, let's check the convergence of the series an and bn:
- an = Σ(1/\(n^2\)) is a convergent p-series with p = 2 > 1.
- bn = Σ(1/n) is a divergent p-series with p = 1.

Thus, we have provided an example of a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges. This demonstrates the contrapositive of the limit comparison test, as requested.

To know more about "Limit" refer here:

https://brainly.com/question/30761744#

#SPJ11

Answer:

4

Step-by-step explanation:

Answer:

GCF=4

Step-by-step explanation:

It's 4

24/4=6

40/4=10

60/4=15

You can't go any higher because there is no GCF of 6, 10, and 15.

Answer:

i will answer in 2050 my bad

i just need the points rq

Step-by-step explanation:

n/a

To plot the resulting image, you will need to take the original figure and multiply each coordinate by the factor of 3/2. For example, if the original figure had a point at (3,4), the new image will have the point at (4.5,6). This will be true for all points in the original figure.

Coordinate is a point or set of values that is used to determine the position of a point, object, or shape in a two-dimensional or three-dimensional space. Coordinate values usually consist of two or three numbers that represent the distance of the point from the origin (x, y, and/or z).

The answer to this question is to plot the resulting image of a figure that has been dilated by a factor of 2/3. A dilation is a transformation that changes the size of a figure. It can either make the figure larger, or smaller. In this case, the dilation is making the figure smaller by a factor of 2/3.

When a figure is dilated, the origin (the point (0,0)) is the center of the transformation. This means that the figure is scaled down from the center point. In general, a dilation by a factor of k will scale down the figure by a factor of 1/k. In this case, the dilation is by a factor of 2/3 so the figure will be scaled down by a factor of 3/2.

For mor questions related to transformation

https://brainly.com/question/2689696

#SPJ1

Answer:

c

Step-by-step explanation:

that's the answer dudnjdkdkd

Answer:

64

Step-by-step explanation:

11 out of 44 = 25%

11 ÷ 44 = 0.25 = 25%

25% × 256 = 64

A question on factorials and permutations would be:

To solve using factorials and permutations, first, we'll consider each group of books (mathematics, history, and science) as a single item. There are 3! ways to arrange these groups.

For the mathematics books, there are 6! ways to arrange them within the group. For the history books, there are 4! ways to arrange them within the group. For the science books, there are 3! ways to arrange them within the group.

Total arrangements = (3!) x (6!) x (4!) x (3!)

Total arrangements = (6) x (720) x (24) x (6) = 1,239,040

There are 1,239,040 ways for the librarian to arrange the books on the shelf with the given conditions.

Find out more on factorials and permutations at https://brainly.com/question/1357774

#SPJ1

Answer:

87

Step-by-step explanation:

x=6

15+12(6)

15+72

87