3. Using Divergence theorem, evaluate f Eds, where E = xi + yj + zk, over the cube bounded by x = 0, x = 1, y = 0, y = 1, z = 0, z = 1. [6]

The calculation of the separation between two locations on a plane is done using the Euclidean distance formula. This equation estimates the separation between two places.

\(d = \sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} }\)

Our perception of space is frequently incorrect in high dimensions since it was created in two and three dimensions. Think about randomly distributing 100 points into a unit square. The range [0, 1] is used to produce each coordinate independently and evenly at random.

Choose a point, calculate the distances between it and every other point, and then chart the distribution of those distances. The points are then uniformly generated at random in a 100-dimensional unit cube when the dimension is increased. Around an average distance, the distribution of distances becomes concentrated.

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Answer:

It has reflectional symmetry with four lines of symmetry.

Step-by-step explanation:

======================================================

Explanation:

Choice A is false since it does have rotational symmetry. See choice B.

Choice B is close, but the "90 degrees" needs to be "45 degrees". Each 45 degree rotation of the figure has the "before" and "after" be the same.

Choice C is one of the answers. There's a vertical line of symmetry, and a horizontal one as well.  Then there are two diagonal lines of symmetry. Each goes through the center. A line of symmetry is a mirror line to allow us to reflect one half over this line to get the other half.

Choice D is another answer. It has point symmetry since we can pick any point on the figure and reflect it over the center point, to land on a corresponding image point on the opposite side of the figure. For example, the northern most point reflects over the center to land on the southern most point.

Answer:

11.84%

Step-by-step explanation:

Answer:

The new photo is not proportional.

Step-by-step explanation:

The original dimensions of the photograph was 5 inches by 7 inches.

The new dimensions of the photograph is 25 inches by 30 inches.

We want to know if the enlarged photograph is proportional to the original photo.

If the new image is proportional, than the ratio of the new width to length must be equivalent to the ratio of the old width and length.

For the old photograph, the ratio of the width to the length is 5/7 or 5:7.

For the new photograph, the ratio of the width to the length is 25/30.

We can simplify this by dividing both layers by 5 to acquire 5/6 or 5:6.

Since 5/6 is not equal to 5/7, the new photo is not proportional to the old.

Step-by-step explanation:

write and say i am not understanding

Answer:

Ok ok, trust me this is not a scam nor hack

Step-by-step explanation:

I didn't no idea to explain in words so i edited the photo

a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b)  Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.

a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.

b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.

c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.

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Answer: 16

Step-by-step explanation: 16%x1=.16 meters, then multiply by 100 to get 16 centimeters.

Answer:

no clue

Step-by-step explanation:

no clue sorry need points

Answer:

20/100 x 50 is 10

10% would be 10/100 is fraction form

I want to help you on the first thing you said,

so always consider a percent as a fraction but there denominator is ALWAYS 100 (a way to remember that is that the word "cent" means 100). The word "of" means multiplication so that means your multiplying it with 50 and just do the multiplication.

I'm really hoping you understand!

The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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We can classify triangles by their angles and their side lengths.

ANGLES:

---Acute = all angles in the triangle are less than 90 degrees

---Right = one angle in the triangle is equal to 90 degrees

---Obtuse = one angle in the triangle is greater than 90 degrees

SIDE LENGTHS:

---Equilateral = all side lengths of the triangle are the same

---Isosceles = two side lengths of the triangle are the same

---Scalene = no side lengths of the triangle are the same

In the given triangle, it has a right angle, which means that it must be a right triangle. Looking at the side lengths, none of them are the same (presumably), so it is also a scalene triangle.

Answer: right, scalene

Hope this helps!

The 98% confidence interval for the proportion of marks more than 87 for the entire population is approximately (0.0229, 0.1021).

To find the proportion of marks more than 87 for selected observations of marks, we first need to count how many observations are above 87. From the given data set, we can see that there are 3 observations that are above 87, which are 89, 94, and 98.

The proportion of marks more than 87 for these selected observations would be 3 out of the total number of observations, which is 31.

So, the proportion would be: 3/31 = 0.0968 or approximately 0.10

To obtain a 98% confidence interval for the proportion of marks more than 87 for the population of marks obtained by all students,

we can use the formula: CI = p ± Zα/2 * sqrt((p*(1-p))/n)

Where:
CI = Confidence Interval
p = Proportion of marks more than 87 in the sample
Zα/2 = Z-score for the chosen confidence level (98% in this case)
n = Sample size

From the previous calculation, we know that the proportion of marks more than 87 for the sample is 0.10, and the sample size is 31. The Z-score for a 98% confidence level is 2.33 (from a standard normal distribution table).

Plugging in the numbers, we get:
CI = 0.10 ± 2.33 * sqrt ((0.10*(1-0.10))/31)
CI = 0.10 ± 0.144
CI = (0.0076, 0.1924)

Therefore, with 98% confidence, we can say that the proportion of marks more than 87 in the population of marks obtained by all students is between 0.0076 and 0.1924.

To find the proportion of marks more than 87 for the selected observations, follow these steps:

1. Identify the total number of observations in the data set: There are 32 observations.
2. Count the number of observations with marks greater than 87: There are 2 observations (89 and 98).
3. Calculate the proportion: Proportion = (Number of observations with marks > 87) / (Total number of observations) = 2/32 = 0.0625

Now, to calculate the 98% confidence interval for the proportion of the marks more than 87 for the entire population, we'll use the formula:

Confidence interval = p ± Z * √(p(1-p)/n)
Where:
- p = Sample proportion (0.0625)
- Z = Z-score for the desired confidence level (98% confidence level has a Z-score of 2.33)
- n = Total number of observations (32)

Confidence interval = 0.0625 ± 2.33 * √(0.0625(1-0.0625)/32) = 0.0625 ± 0.0396

So, the 98% confidence interval for the proportion of marks more than 87 for the entire population is approximately (0.0229, 0.1021).

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Answer:

x=30

Step-by-step explanation:

36/12=3

3*10=30

Answer:

We know that the constant is 3, the problem it is asking is what is the value of x and that the constant can be a decimal if you are finding the constant from smallest to largest or a whole number if you are going from largest to smallest.

Step-by-step explanation:

1 & 2: to find the constant you can divide 36 by 12 to get 3 then multiply 10 by 3 to get x which is 30.

3: smallest to largest=0.3

largest to smallest=3

Hope this helps!!! :)

Hey there!

“Factor completely 2n + 13n + 15”

2n + 13n + 15

COMBINE your LIKE TERMS

(2n + 13n) + (15)

2n + 13n = 15n

15 = 15

Answer: 15n + 15

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

15(n + 1)

Step-by-step explanation:

Given

2n + 13n + 15 ← collect like terms

= 15n + 15 ← factor out 15 from each term

= 15(n + 1) ← in factored form

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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Answer:

14b-12b²

Step-by-step explanation:

Step-by-step explanation:

group like terms, then (6b+6b)=12b

then do the same for the second one the answer is 14b-12b^2

The algebraic expression for the given phrase would be: c + 6, where c represents the unknown quantity (number of cars in the garage) and 6 represents the number of cars outside.

To translate the following phrase into an algebraic expression, we need to use the variable c to represent the unknown quantity. The phrase is "the total of the number of cars in the garage and the 6 cars outside."

So, the algebraic expression is: c + 6Where "c" represents the number of cars in the garage.

The expression c + 6 represents the total number of cars, which is the sum of the number of cars in the garage and the 6 cars outside.

Example: If there are 10 cars in the garage, then the total number of cars would be: c + 6= 10 + 6= 16.

So, there would be 16 cars in total.

The expression c + 6 would always give us the total number of cars, regardless of the value of "c."

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Answer:

-1 1/2

Step-by-step explanation:

x = 5

y = 4

y2 = -1 1/2

The relation is a function if every ordered pair has one value of x, which means x does not repeat

Let us study each relation

a) {(5, 1), (-2, 4), (1, 1), (5, 2)}

Since each ordered pair has a different value of x

There are 2 ordered pairs that have x = 5

This relation is not a function

b) {(1, 4), (-2, 2), (5, 1), (-6, 2)}

Since no repeated x in the ordered pairs

Then the relation is a function

c) There are 2 ordered pairs with x = -2

It is not a function

d) There are 2 ordered pairs with x = 1

It is not a function

The answer is b

Answer:

7, 4

this should be correct

False statements:
a. 50% CPI adjustment applied to base rents means that if the cost of living goes up by, say, 8% then the base rent goes up by 4%.

b. All else held equal, single net rent with positive annual step-up adjustments is less risky for the lessor than single net rent with 100% CPI adjustments.

c. Lessor to Lessee is like tenant to building owner.

d. The Load Factor equals 1 when there's a single tenant in the building.


a. This statement is false. A 50% CPI adjustment means that the base rent would increase by 50% of the increase in the cost of living. So, if the cost of living goes up by 8%, the base rent would go up by 4% (50% of 8%).

b. This statement is false. Single net rent with positive annual step-up adjustments is actually more risky for the lessor compared to single net rent with 100% CPI adjustments.

With positive step-up adjustments, the rent increases by a fixed amount each year, regardless of the cost of living. This means that if the cost of living increases significantly, the rent may not keep up with the increased expenses for the lessor.

c. This statement is false. Lessor to Lessee is not the same as tenant to building owner. Lessor refers to the person or entity that owns the property and leases it to the lessee, who is the tenant.

The lessor is responsible for maintaining the property and providing certain services, while the lessee is responsible for paying rent and abiding by the terms of the lease agreement.

d. This statement is false. The load factor is a ratio that represents the proportion of a tenant's usable square footage to the total rentable square footage in a building.

It is used to calculate the tenant's share of common areas such as hallways, elevators, and restrooms. The load factor can be less than 1 even with a single tenant in the building, depending on the layout and design of the property.

To summarize, the false statements are:
a. 50% CPI adjustment applied to base rents means that if the cost of living goes up by, say, 8% then the base rent goes up by 4%.
b. All else held equal, single net rent with positive annual step-up adjustments is less risky for the lessor than single net rent with 100% CPI adjustments.
c. Lessor to Lessee is like tenant to building owner.
d. The Load Factor equals 1 when there's a single tenant in the building.

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Answer:

x>3 but x<5 so x=4

4-3=1

+

4+2=6

-

4-5=-1

but |-1|=1

so

1+6-1=6

Answer:

  86 ft

Step-by-step explanation:

You want the straight line distance from a location 50 ft from a hotel to a window that has an angle of elevation of 54.5°.

The cosine relation between sides and angles in a right triangle is ...

  Cos = Adjacent/Hypotenuse

The 50 ft distance is adjacent to the angle, and we want to find the hypotenuse. Using this equation, we can solve for the length we want:

  Hypotenuse = Adjacent/Cos

Using the numbers in the problem statement, we find the straight-line distance to be ...

  LW = LH/cos(54.5°) = (50 ft)/0.580703 ≈ 86 ft

The distance between Penny and Lisa is about 86 feet.

__

Additional comment

We don't know what drawing tools you have available. The attached diagram was drawn by locating the window at 50tan(54.5°) up from the base of the hotel. The tool provided the length of LW as 86.1.

We could have use a rotation tool to create the angle of 54.5°, or a line graphing tool to draw the line through (50, 0) with slope tan(-54.5°). Then an intersection tool could have located the window at the point of intersection of that line and the y-axis.

The calculation we did above is about the easiest for determining the distance mathematically (not having the tool measure it).

<95141404393>

Answer: y= 2/5 * x - 6

Step-by-step explanation:

y intercept

y= 2/5 x+b putting in the point 5,4

y=2/5 5+ b

4=10+b

b= -6

To use the splitpts function in Matlab, you will first need to define two sets of points with different arrays for each set. Then, you can use the syntax newSetOfPoints = splitpts(originalSetOfPoints) to split the original set of points into two new sets.

The "splitpts" function in MATLAB is used to split a set of points into two sets based on a specified split point. Here are the steps to use this function:

1. Define the set of points you want to split. For example:
```
points = [1 2 3 4 5 6 7 8 9 10];
```

2. Specify the split point. This can be any number between the minimum and maximum values of the set of points. For example:
```
splitPoint = 5;
```

3. Use the "splitpts" function to split the set of points into two sets. The first set will contain all the points less than or equal to the split point, and the second set will contain all the points greater than the split point. For example:
```
[set1, set2] = splitpts(points, splitPoint);
```

4. The resulting sets will be stored in the variables "set1" and "set2". You can display these sets using the "disp" function:
```
disp(set1);
disp(set2);
```

The output will be:
```
1 2 3 4 5
6 7 8 9 10
```

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Answer:

Nina can run:

13 1/2 km in 1 hour

Step-by-step explanation:

4 1/2 = 4 + 1/2 = 8/2 + 1/2 = 9/2

proportions:

9/2 hours ⇔  1/3 hour

N hours ⇔ 1 hour

N = (9/2)*1 / (1/3)

N = (9/2) / (1/3)

N = (9*3) / (2*1)

N = 27/2

27/2 = 26/2 + 1/2 = 13 + 1/2 = 13 1/2

Nina can run:

13 1/2 km/h

13 1/2 km in 1 hour

Answer:

13.5

Step-by-step explanation:

Step 1:

4 1/2 × 3 = 13 1/2

Answer:

13.5 kilometers

Hope This Helps :)

The slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3 is -1/2.

To find the slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3, we need to first find the derivative of r with respect to θ, and then evaluate it at θ = π/3.

Differentiating both sides of the polar equation with respect to θ, we get:

dr/dθ = d/dθ(2 - sinθ)

dr/dθ = -cosθ

So, the derivative of r with respect to θ is -cosθ.

Evaluating this derivative at θ = π/3, we get:

dr/dθ|θ=π/3 = -cos(π/3) = -1/2

Therefore, the slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3 is -1/2.

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Answer:

THE ANSWER IS A: TRUE

Step-by-step explanation:

A

P

E

X