Match the shapes with given dimensions to their compared volume size. (12 points)
1. Cylinder with height=10 and radius=4
a Middle volume of the three
b. Lowest volume of the three
- 2 Sphere with diameter 8
c. Highest volume of the three
3. Cone with radius-8 and height-10
a.middle volume of the three
b.lowest volume of the three
c. highest volume of the three

To show that x = sup(S) is a boundary point of S, we need to demonstrate that for any neighborhood of x, there exist points both in S and outside of S.

Let's assume that x = sup(S) is not a boundary point of S. This means that either x is an interior point or an isolated point of S.

Case 1: x is an interior point of S.

If x is an interior point, there exists some open interval (a, b) around x that is entirely contained within S. Since x = sup(S), it is the least upper bound of S, which means that there must exist some point s ∈ S such that s > x - ε, where ε is a positive number.

However, this contradicts the fact that (x - ε, x) is a subset of S, since there should be no elements greater than x within any neighborhood of x. Therefore, x cannot be an interior point of S.

Case 2: x is an isolated point of S.

If x is an isolated point, there exists some open interval (a, b) around x such that S does not contain any points other than x within this interval. Since x = sup(S), there must exist some point s ∈ S such that s > x - ε for any positive ε.

However, this contradicts the fact that (x - ε, x) does not contain any elements of S other than x. Therefore, x cannot be an isolated point of S.

Since x = sup(S) is neither an interior point nor an isolated point of S, it must be a boundary point. This completes the proof that x = sup(S) is a boundary point of S when S is nonempty and bounded above.

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The numeric value of the function g(x) at x = -12 is given as follows:

g(-12) = -10.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the defined function or in the defined expression by the value at which we want to find the numeric value.

On the graph of a function, to find the numeric value for a value of x, we have to trace a vertical line at the value of x and verify where the vertical line crosses the function.

On the given graph, a vertical line at x = -12 would cross the function at y = -10, hence the numeric value is given as follows:

g(-12) = -10.

The graph of the function is presented at the end of the answer.

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Length of a wire = 40 cm.

Breadth of the rectangle formed = 8 cm.

length and area of rectangle.

Length of a wire = 40 cm.

A rectangle is made from this wire.

That means,

Perimeter of the rectangle formed = length of the wire.

Also,

Breadth of the rectangle formed = 8 cm.

We know that,

Perimeter of a rectangle = 2(length + breadth).

Let the length of the rectangle be x cm.

Hence,

→ 2(x + 8) = 40

→ 2x + 16 = 40

→ 2x = 40 - 16

→ 2x = 24

→ x = 24/2

→ x = 12

Hence,

Length of the rectangle formed = x = 12 cm.

Now,

We know,

Area of a rectangle =length * breadth

→ Area of the rectangle = (12) * (8)

→ Area of the rectangle = 96 cm²

Therefore, the area of the rectangle formed is 96 cm².

I hope it will help you.

Regards.

The given pair of events are independent when your first coin flip results in heads. and your second coin flip results in heads.

Events that occur independently of any other events are referred to as independent events. if we flip a coin in the air and get the head, we will then flip the coin again, but this time we will get the tail. The occurrence of both events is unrelated in either instance. Tossing the coin the first time does not affect the outcome of the second toss.

Note that the events are not mutually exclusive as it is possible that both the first and the second toss are headed.

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After simplification, he have 32 coins of dimes and 21 coins of quarter.

In the given question we have to find the total number of each kind of coin that he have.

Steve has been saving the dimes and quarters out of his pocket change for two weeks.

He then notices that he has 53 coins for a total of $8.45.

Let he have x coins of dime anf y coins of quarter and the total number of coins are 53.

So the required equation is

x+y=53.................(1)

As we know that

A dime=10 cents

So the cost of x dime is 10x.

A quarter=25 cents

So the cost of y quarter is 25x.

Total money=$8.45

$1=100 cents

So $8.45=845 cents

So the equation is

10x+25x=845........................(2)

Multiply the equation 1 by 10 we get

10x+10y=530................(3)

Subtract Equation 2 and 3

10x+25y−10x−10y=845−530

Simplifying

15y=315

Divide by 15 on both side, we get

y=21

Now putting the value of y in equation 1

x+21=53

Subtract 21 on both side, we get

x=32

Hence, he have 32 coins of dimes and 21 coins of quarter.

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{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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Answer:

Step-by-step explanation:

cause 100 cats can catch 100 bunnies in 300 min

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

Also doubles

Step-by-step explanation:

Hope this helps. Have a nice day you amazing bean child.

The constant of proportionality is 2.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have [y] varies directly with [x] and y doubles then x.

The general equation of a straight line can also be used to represent proportional relationship when [c] = 0.

y = mx + c

y = mx + 0

y = mx

m = y/x

where [m] is constant of proportionality.

A/C to question -

y = 2x

Here, the constant of proportionality is 2.

Therefore, the constant of proportionality is 2.

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When we compute the deviation of the second observation in the data set from the mean, and find that the result is a negative number, this tells us that there is good reason to use the median as opposed to the mean as a measure of central tendency.

In computing deviations, it is important to note that extremely skewed deviations can increase the normal distributions and make it difficult to use the standard deviation as a measure of central tendency.

So, when the deviation of the second observation is a negative number, the distribution will be affected and it may become better to use the median as a measure of central tendency.

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Complete Question:

We compute the deviation of the second observation in the data set from the mean, and find that the result is a positive number. This tells us that:

there is a positive overall skewness in the data set.

there is good reason to use the median as opposed to the mean as a measure of central tendency.

the first deviation must also be positive.

the second observation is greater than the sample average.

Answer: (-7,1)

Step-by-step explanation:

Answer:

y=2x-5

Step-by-step explanation:

first because if a linear equation is graphed to be perpendicular has to have the same slop y=2x which is equivalent to going up two over one on agrao from the +1 point to pass through (3,1) start at the point (3,1) go down two over until you find the y intercept which in this is -5 five so y=2x-5 is the answer.

Sequence A is defined by subtracting 6 from the previous term and taking the absolute value, while Sequence B is the sum of the first n odd integers. B(9) > A(9).

For Sequence A, The first term is 19.

To produce each new term from the previous term, subtract 6 from the previous term, then take the absolute value of the result. That is, if the previous term is x, then the next term is |x - 6|.

The nth term of Sequence B is defined as the sum of the first n positive odd integers. That is, B(n) = 1 + 3 + 5 + ... + (2n - 1) = n².

To find A(9) and B(9), we can apply the rules we have for each sequence:

A(0) = 19

A(1) = |19 - 6| = 13

A(2) = |13 - 6| = 7

A(3) = |7 - 6| = 1

A(4) = |1 - 6| = 5

A(5) = |5 - 6| = 1

A(6) = |1 - 6| = 5

A(7) = |5 - 6| = 1

A(8) = |1 - 6| = 5

A(9) = |5 - 6| = 1

B(0) = 0 (the sum of the first 0 odd integers)

B(1) = 1

B(2) = 1 + 3 = 4

B(3) = 1 + 3 + 5 = 9

B(4) = 1 + 3 + 5 + 7 = 16

B(5) = 1 + 3 + 5 + 7 + 9 = 25

B(6) = 1 + 3 + 5 + 7 + 9 + 11 = 36

B(7) = 1 + 3 + 5 + 7 + 9 + 11 + 13 = 49

B(8) = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64

B(9) = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81

Therefore, we have A(9) = 1 and B(9) = 81. Since 81 is greater than 1, we know that B(9) is greater than A(9).

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In Mason information systems, the student be uniquely identified by Student ID Number, Email Address, Username, Student Identification Card and  Enrollment or Admission Number.

Some of the commonly used methods include:

1. Student ID Number: Each student is typically assigned a unique identification number by the institution. This number serves as a distinct identifier and is used across various systems and records.

2. Email Address: Students often have a unique email address provided by the institution. This address can be used as an identifier since it is specific to the individual and does not overlap with others.

3. Username: Many educational systems assign a unique username to each student for logging into various online platforms and services. This username can be used as an identification method.

4. Student Identification Card: Institutions issue identification cards to students, which may include a barcode or other unique identifiers that can be scanned or used for identification purposes.

5. Enrollment or Admission Number: Some institutions assign a unique number to each student during the enrollment or admission process. This number can be used for identification within the information systems.

It is important to note that the methods of identification may vary among institutions. The specific identification methods used by Mason information systems would be defined by the policies and procedures implemented by the university.

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The salt will acquire octahedral hole. Thus option B is correct .

Given,

\(r^{+} = 165\\ r^{-} = 297\)

Now,

Find the coordination number ,

Radius ratio = \(r^{+} / r^{-}\)

Substitute the values of radius of salt to get the coordination number .

Radius ratio = 165/297

Radius ratio = 0.556 .

If the radius ratio is between 0.414 and 0.732

Range of radius ratio : 0.414 < r < 0.732

Then coordination number is 6 . If the coordination number is 6 then it will acquire octahedral void .

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Answer:

The line's slope equals the difference between points' y-coordinates divided by the difference between their x-coordinates. Select any two points on the line of best fit. These points may or may not be actual scatter points on the graph. Subtract the first point's y-coordinate from the second point's y-coordinate.

We are given the graph of a line and asked to find its equation. Recall that we can write the equation of a line as

where (x0, y0) is point on the line and m is the slope of the line.

From the graph, we can identify that points (-3, -2) and (5,4) are on the line. Now let us calculate the slope of the line.

Recall that given points (a,b) and (c,d), the slope of the line that passes through them is given by the formula

In our case we got a=-3, b=-2, c=5 and d=4. So we have

Now, we can use the fact that the point (5,4) is on the line. So we use it as our (x0,y0). So our equation would be

which is equivalent to

Now, we add 4 on both sides, so we get

so the equation of the line is

Answer:

Step-by-step explanation:

Answer: He will need 49 tiles.

Step-by-step explanation:

Given: The patio will measure 13.5 feet by 43 feet.

Area of patio = 13.5 feet x 43 feet [Area = length x width]

= 580.5 sq. feet

Since area of each concrete tile = 12 sq. inch

Number of concrete tiles required to cover patio = (Area of patio) ÷ (area of each concrete tile)

= 580.5 ÷ 12

= 48.375 sq. inch ≈49

Explanation:

line ⇒ a straight arrangement of points extending without end in opposite directions.

line segment ⇒ part of a line that consists of two points called endpoints and all of the points between those endpoints.

ray ⇒ part of a line that consists of an endpoint and all points on the line that extends in one direction.

point ⇒ has no dimension; is one of the undefined terms of geometry. Some may also refer to a point as a dot or dots on a line.

The value assigned to variable y in the given expression "x = 0; y = (x > 0) ? 10 : -10;" is -10.

In the given expression "x = 0; y = (x > 0) ? 10 : -10;", the variables x and y are being assigned values based on a conditional statement.

First, the value of x is assigned as 0.

The conditional statement (x > 0) checks whether the value of x is greater than 0. In this case, since x is equal to 0, the condition evaluates to false.

The ternary operator ? : is used to specify different values for y based on the outcome of the conditional statement. If the condition is true, the value assigned to y would be 10. On the other hand, if the condition is false, the value assigned to y would be -10.

In this case, since the condition (x > 0) is false, the value assigned to y is -10, as indicated after the colon :.

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The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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Answer:

11/5

Step-by-step explanation:

-4 - 7 = -11

-2 - 3 = -5

11/5

Answer:

B. 11/5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-2, -4)

Point (3, 7)

Step 2: Find slope m

Answer:

A

Step-by-step explanation:

Which comparison is true?

A 2.919 > 2.94

B 0.99 <0.569

C 1.27> 1.189

D 3.861 < 3.75

Using the knowledge in computational language in python it is possible to write a code that smallest possible array that consists of only powers of two.

Writting the code in python:

"public class GoodArray {"

"public static List<Integer> getQueryResults(long N, List<List<Integer>> queries) {"

"List<Integer> res = new ArrayList<>();"

int[][] arr = new int[queries.size()][3];

"List<Integer> goodArray = new ArrayList<>();"

"for (int i = 1; i <= N; i++) {"

 "int num = i;"

 "while (num % 2 == 0) {"

  "goodArray.add(num);"

  "num = num / 2;"

 }

}

int index = 0;

for (List<Integer> l : queries) {

 arr[index][0] = l.get(0);

 arr[index][1] = l.get(1);

arr[index][2] = l.get(2);

 index++;

}

Collections.sort(goodArray);

"for (int i = 0; i < arr.length; i++) {"

 "int[] query = arr[i];"

 int l = query[0];

 int r = query[1];

 int m = query[2];

 int prod = 1;

 "for (int j = l - 1; j <= r - 1; j++) {"

  "prod = (int) (prod * goodArray.get(j)) % m;"

 }

 res.add(prod);

}

return res;

}

}

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Answer:

5/7 is greater.

Step-by-step explanation:

find a common denominator, 35 in this case.

2/5= 14/35

5/7= 25/35

a. the costs of non-compliance, enforcement, prevention and evaluation are -75 d/p, -$7500, $17500 and $5000 respectively

b. The percentage of effort devoted to each component is:

a) To calculate the costs of non-compliance, enforcement, prevention, and evaluation, we need to determine the deviations in effort for each component and multiply them by the corresponding cost per person-day.

Non-compliance cost:

Non-compliance cost = Actual effort - Predicted effort

To calculate the actual effort, we need to sum up the effort for each component mentioned:

Actual effort = Plan development + Software development + Reviews + Tests + Training + Methodology

Actual effort = 25 + 75 + 20 + 30 + 20 + 5 = 175 d/p

Non-compliance cost = Actual effort - Predicted effort = 175 - 250 = -75 d/p

Enforcement cost:

Enforcement cost = Non-compliance cost * Cost per person-day

Assuming a cost of $100 per person-day, we can calculate the enforcement cost:

Enforcement cost = -75 * $100 = -$7500 (negative value indicates a cost reduction due to underestimation)

Prevention cost:

Prevention cost = Predicted effort * Cost per person-day

Assuming a cost of $100 per person-day, we can calculate the prevention cost for each component:

Plan development prevention cost = 25 * $100 = $2500

Software development prevention cost = 75 * $100 = $7500

Reviews prevention cost = 20 * $100 = $2000

Tests prevention cost = 30 * $100 = $3000

Training prevention cost = 20 * $100 = $2000

Methodology prevention cost = 5 * $100 = $500

Total prevention cost = Sum of prevention costs = $2500 + $7500 + $2000 + $3000 + $2000 + $500 = $17500

Evaluation cost:

Evaluation cost = Total project cost - Prevention cost - Enforcement cost

Evaluation cost = $25000 - $17500 - (-$7500) = $5000

b) To calculate the percentage of effort devoted to each component out of the total cost, we can use the following formula:

Percentage of effort = (Effort for a component / Total project cost) * 100

Percentage of effort for each component:

Plan development = (25 / 250) * 100 = 10%

Software development = (75 / 250) * 100 = 30%

Reviews = (20 / 250) * 100 = 8%

Tests = (30 / 250) * 100 = 12%

Training = (20 / 250) * 100 = 8%

Methodology = (5 / 250) * 100 = 2%

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Answer: first number = 24

second number = 19

third number = 57

Explanation:

Let the second number be x. From the information given,

the first number is 5 more than the second. This means that

the first number is x + 5

The third number is 3 times the second. This means that

the second number is 3x

If the sum of the three numbers is 100, it means that

x + 5 + x + 3x = 100

5x + 5 = 100

5x = 100 - 5 = 95

x = 95/5

x = 19

The first number = 19 + 5 = 24

The second number = 19

the third number = 3 * 19 = 57

I WILL USE THE LAWS OF EXPONENTS WHEN WE MULTIPLY POWERS OF THW SAME BASES WE KEEP ONE POWER AND ADD THE EXPONENTS.

\( = 7^{ - 5} \times 7^{2} \\ = {7}^{ - 5 + 2} \\ = {7}^{ - 3} \\ = \frac{1}{ {7}^{3} } \\ = \frac{1}{343} \)

ATTACHED IS THE SOLUTION