Analyze the diagram below and complete the instructions that follow.Find the value of x and the value of y.

The minimum ratio of cation to anion size for an octahedral (6-fold coordinated) site to be stable is 0.414.

The minimum ratio of cation to anion size for an octahedral (6-fold coordinated) site to be stable is 0.414 can be shown by using the radius ratio rules.

The radius ratio rules state that the ratio of the radius of the cation to the radius of the anion determines the coordination number and the structure of the compound. The minimum and maximum radius ratios for different coordination numbers are as follows:

- Coordination number 2: minimum ratio = 0.155, maximum ratio = 0.225
- Coordination number 3: minimum ratio = 0.225, maximum ratio = 0.414
- Coordination number 4: minimum ratio = 0.414, maximum ratio = 0.732
- Coordination number 6: minimum ratio = 0.732, maximum ratio = 1.000

For an octahedral (6-fold coordinated) site, the minimum ratio of cation to anion size is 0.732. If the ratio is smaller than this, the cation will be too small to fit into the octahedral site and the structure will be unstable. Therefore, the minimum ratio of cation to anion size for an octahedral (6-fold coordinated) site to be stable is 0.414.

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t^-1 is the inverse of t.

To find the inverse of the given isomorphism t, we need to find a function t^-1 : r2 → p1 such that t(t^-1(x,y)) = (x,y) for all (x,y) in r2.

Let (x,y) be an arbitrary element of r2. We want to find (a,b) in p1 such that t(a,b) = (x,y). Using the definition of t, we have:

t(a,b) = (8b, a-b)

Setting this equal to (x,y), we get the system of equations:

8b = x
a - b = y

Solving for a and b in terms of x and y, we get:

a = y + x/8
b = x/8

Thus, we have found a function t^-1 : r2 → p1 given by:

t^-1(x,y) = (y + x/8, x/8)

We can check that this function is indeed the inverse of t:

t(t^-1(x,y)) = t(y + x/8, x/8) = (8(x/8), y + x/8 - x/8) = (x,y)

Therefore, t^-1 is the inverse of t.

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Step-by-step explanation:

you start with 90 then 180 then270 then 360

The largest number of edges in the undirected graph with 'n' vertices which is before it present cycle is equal to n( n - 1 ) / 2.

Therefore, the largest possible number of edges in the undirected graph which has 'n' vertices  before it contain a cyclic is equal to n ( n - 1 ) / 2.

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In application 3, the search vector x is a vector of words (e.g. elementary, matrix, algebra) used to search the database of seven linear algebra books. The vector y represents the results of the search, with each entry of y corresponding to the number of times a word in the search vector x appears in a book. The entries in y provide insight into how relevant a particular linear algebra book is to the search vector x.

In application 3, suppose that we are searching the database of seven linear algebra books for the search words elementary, matrix, algebra. The search vector x can be defined as x = [1, 1, 1] because all of the search terms appear only once in the search query. The next part of the question and compute a vector y that represents the results of the search.Vector y is computed by multiplying the search vector x by the book matrix A, as shown below. y = [1 1 1] · [3 1 1 0 0 1 1; 1 3 0 1 1 0 1; 0 0 2 0 1 1 1] = [4 4 3 1 2 2 3].

Next up to explain the significance of the entries of the vector y. The result vector y contains seven entries, one for each book. The value of each entry represents how well the book matches the search query, with larger numbers indicating a better match.

As a result, y can be used to rank the books in order of relevance to the search query. The first and second books have the best match with a score of four, while the third book has a score of three, which is also quite strong.

The fourth, fifth, and sixth books have scores of one or two, indicating that they are not well suited to the search query.

Finally, the seventh book has a score of three, indicating that it is moderately well suited to the search query.

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Answer:

x = 11

Step-by-step explanation:

First distribute the -4 to x-5. This would get you -4x + 20 = -24. Now subtract 20 from both sides and get -4x = -44. Divide -4 from both sides, and get

x = 11.

Answer:

5.267

Step-by-step explanation:

Let's do long division to figure this out.

Answer: 5.26666666667

Step-by-step explanation:

If your asking for the decimal answer, than it is 5.26666666667, or you can round it to 5.3. :)

Answer: f(-2) = 225

Step-by-step explanation:

Plug in x which is -2 because f(x) = f(-2):

f(-2) = 9 • 1/5^-2

f(-2) = 9 • 25

f(-2) = 225

Hope this helps!

Answer:225

Step-by-step explanation:

BIG BRaIN

Each side of cube is 100 cm.

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

Given that,

Volume of cube = 1 cubic meter

We know that,

1 m = 100 cm

Also  volume of cube = \(a^{3}\)

Then,

Volume of cube = 1000000 cm

                   \(a^{3}\)  = \(100^{3}\)

                   a = 100 cm

Hence, Each side of cube is 100 cm.

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Answer:

1 is 25% of 4

25 x 4 = 100

1 x 4 = 4

There are 347,760 ways to arrange the 9 balls of colors red, green, and blue such that no two blue balls are next to each other. The principle of inclusion-exclusion is used to solve this problem.

First, we calculate the total number of ways to arrange the 9 balls without any restrictions. This can be done using the formula for permutations of n objects, which is n! (n factorial) in this case. So we have:

9! = 362,880

Next, we calculate the number of ways to arrange the balls with two blue balls next to each other. We can treat the two blue balls as a single object and arrange the remaining 7 objects in 7! ways. However, we also need to consider the 3 different ways to choose which two blue balls are next to each other. So we have:

3 x 7! = 15,120

Finally, we need to subtract the number of arrangements with two blue balls next to each other from the total number of arrangements to get the number of arrangements without any two blue balls next to each other:

9! - 3 x 7! = 347,760

Therefore, there are 347,760 ways to arrange the 9 balls of colors red, green, and blue such that no two blue balls are next to each other.

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The solution of the inequality 3(n - 6) > 2(n + 12) will be less than 42. Then the correct option is D.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

3(n - 6) < 2(n + 12)

Simplify the inequality, then we have

3(n - 6) < 2(n + 12)

3n - 18 < 2n + 24

3n - 2n < 24 + 18

n < 42

The solution of the inequality 3(n - 6) > 2(n + 12) will be less than 42. Then the correct option is D.

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Answer: Simple random sampling

Step-by-step explanation:

Simple random sampling is a sampling method where every member of the population of interest has an equal chance of being picked. It is the simplest sampling method as there are no parameters for picking members.

In using the entire company database and simply selecting members using a lottery style, - which is a random style - the managers of this movie theatre were using a simple random sampling method.

Scatter plot Answ

Step-by-step explanation:

120=!3÷!6

!2-!5=!3

to 120 modes

Answer:

15, - 7, 8, - 24

Step-by-step explanation:

1

f(4) = \(\frac{1}{2}\) × 4 + 13 = 2 + 13 = 15

2

f(5) = \(\frac{3}{5}\) × 5 - 10 = 3 - 10 = - 7

3

f(- 1) = (- 1)² + 7 = 1 + 7 = 8

4

f(2) = 3(2)³ - 12(2)² = 3(8) - 12(4) = 24 - 48 = - 24

We need to evaluate the line integral ∫CF.dr for two different paths, r1(t) and r2(t), where F = (x^2 + y^2) dx + 2xy dy.

We will use the fundamental theorem of line integrals to determine if F is conservative.

Since F has continuous first-order partial derivatives, we can check if F is conservative by verifying that ∂F/∂y = ∂M/∂x, where M = x^2 + y^2 and N = 2xy are the components of F. We have:

∂F/∂y = 2xy = ∂M/∂x

Therefore, F is conservative.

By the fundamental theorem of line integrals, the line integral of a conservative field depends only on the endpoints of the path, and not on the path itself.

Therefore, we can choose any path that connects the same two endpoints and calculate the line integral along that path.

(a) Using r1(t) = t^5i + t^2j, 0 ≤ t ≤ 2:

We have:

dr/dt = 5t^4i + 2tj

Substituting into F, we get:

F = (t^10 + t^4) dt + 2t^3 dt

Therefore, the line integral along r1(t) is:

∫CF.dr = ∫0^2 F(r1(t)).(dr/dt) dt
= ∫0^2 [(t^10 + t^4) dt + 2t^3 dt] . (5t^4i + 2tj)
= ∫0^2 (5t^15 + 7t^5) dt
= (5/16) (2^16 - 1) + (7/6) (2^6 - 1)

(b) Using r2(t) = 5cos(t)i + 2sin(t)j, 0 ≤ t ≤ π/2:

We have:

dr/dt = -5sin(t)i + 2cos(t)j

Substituting into F, we get:

F = (25cos^2(t) + 4sin^2(t)) dt - 20sin(t)cos(t) dt

Therefore, the line integral along r2(t) is:

∫CF.dr = ∫0^(π/2) F(r2(t)).(dr/dt) dt
= ∫0^(π/2) [(25cos^2(t) + 4sin^2(t)) dt - 20sin(t)cos(t) dt] . (-5sin(t)i + 2cos(t)j)
= ∫0^(π/2) (20cos^2(t) - 45sin^2(t)) dt
= 20(π/4) - 45(1/4)

Hence, the value of the line integral for both paths r1(t) and r2(t) is:

(5/16) (2^16 - 1) + (7/6) (2^6 - 1) = 1247.875

Note that the line integral is the same for both paths, as expected for a conservative field.

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Answer: 20

Step-by-step explanation: Divide 27 by 12. You get 2.25. 2.25 is the cost of one ticket. Then divide 45 by 2.25 and your answer is 20.

Hope that helps!

He buys 20 tickets for $45.

Val is buying tickets for the amusement park.

The total cost of the tickets varies directly with the number of tickets purchased.

She sees that 12 tickets cost $27.

The cost per ticket is given by;

\(\rm = \dfrac{Total \ cost \ of \ tickets }{Total \ number \ of \ tickets}\\\\= \dfrac{27}{12}\\\\= 2.25\)

Therefore,

The number of tickets can Val buy for $45 is;

\(\rm =\dfrac{Total \ number \ of \ tickets}{Cost \ of \ per \ ticket}\\\\= \dfrac{45}{2.25}\\\\= 20\)

Hence, he buys 20 tickets for $45.

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The mean of all exam scores in the class is 72.67 ~ 73 . Mean is ratio of sum of score in all exam to the total numbers of all exams.

The exam scores are normally distributed , normally distributed is an arrangement in which most of values in middle and rest are symmetrically distributed at the ends 80th percentile of scores earned 85 it implies that 80% of students score is 85 or less and 30th percentile of scores earned 65 means 30% of students score is 65 or less .

Z-score value for 80th percentile is 0.841

Z-score value for 30th percentile is – 0.524

Formula for normally distributed,

Z =( X – μ) / σ

where μ is mean of scores , σ is standard deviations of scores ,X is sample mean

For 80th percentile , X= 85 , Z= 0.841

0.841=( 85- μ) /σ ----(1)

-0.524= (65-μ) / σ ----(2)

Solving equations (1) and (2)

- (841/524)= (85-μ )/( 65-μ) => 841μ – 841(65) = -524μ +85(524)

⇒ 1365μ= 99,205 => μ= 72.67

So, the value of mean of scores obtained by students in a class is 72.67 ~ 73

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The graph of the inequality y ≤ (x + 2)² is the graph (a)

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

(y\le(x+2)^2\)

Express properly

So, we have

y ≤ (x + 2)²

The above expression is a quadratic inequality with a less or equal to sign

This means that

The graph opens upward and the bottom part is shaded

Using the above as a guide, we have the following:

The graph of the inequality is the first graph

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Answer:

8.5 pounds

Step-by-step explanation:

$ 1.78 - 1 pound

$ 15.21 - 15.21/1.78

= 8.5

Answer:

40 gallons

Step-by-step explanation:

Let the number of gallons that would completely fill the bathtub be represented by N.

Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;

30% of N = 12

\(\frac{30}{100}\) x N = 12

30N = 12 x 100

30N = 1200

divide both sides by 30,

N = \(\frac{1200}{30}\)

   = 40

The number of gallons that would completely fill the bathtub is 40 gallons.

Answer:

2520

Step-by-step explanation:

The least common multiple is the product of all factors in the greatest number of their occurrence.

The least common multiple of 24, 28 and 45 is 2520.

Answer: b is the answer

Step-by-step explanation:

The line goes up 1 over 3

Answer:

slope is rise over run. so the slope would be 1/3.

Answer:

1st : neither linear nor nonlinear

2nd: nonlinear

3rd: linear

4th: both linear and nonlinear

The sampling described in this study is simple random sampling.

This is because the mayor's assistant randomly selected 100 households from the population.

Simple random sampling is a type of probability sampling method in which each member of the population has an equal chance of being selected for the sample.

This method is often used to ensure that the sample is representative of the population, and that the results of the study can be generalized to the entire population.

In this case, since the households were selected randomly, we can assume that the results obtained from the 100 households are representative of the opinions of the entire population of the town.

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