have no idea how to do this

The reciprocal lattice vectors for the given hexagonal space lattice are b₁ = πcŷ, b₂ = π(3√3cz/2)ŷ, and b₃ = π((3√3a²/2) + (a²/2) - (3√3ca/2)x). The interplanar distance, denoted as d, can be calculated using the formula d = 1/|b₃|, but since the value of x is not provided, the specific interplanar

(a) The reciprocal lattice vectors can be found using the formula:

b₁ = (2π/a) (a₂ × a₃)

b₂ = (2π/a) (a₃ × a₁)

b₃ = (2π/a) (a₁ × a₂)

where a₁, a₂, and a₃ are the primitive translation vectors of the hexagonal space lattice.

Substituting the given values, we have:

a₁ = (3√3a/2) + (a/2)ŷ

a₂ = -(3√3a/2) + (a/2)ŷ

a₃ = cz

Calculating the cross products, we find:

a₂ × a₃ = -((3√3a/2) + (a/2)ŷ) × (cz) = (ac/2)ŷ

a₃ × a₁ = (cz) × ((3√3a/2) + (a/2)ŷ) = (3√3acz/2)ŷ

a₁ × a₂ = ((3√3a/2) + (a/2)ŷ) × (-(3√3a/2) + (a/2)ŷ) = (3√3a²/2) + (a²/2) - (3√3ca/2)x

Finally, we can calculate the reciprocal lattice vectors:

b₁ = (2π/a) (a₂ × a₃) = (2π/a) (ac/2)ŷ = πcŷ

b₂ = (2π/a) (a₃ × a₁) = (2π/a) (3√3acz/2)ŷ = π(3√3cz/2)ŷ

b₃ = (2π/a) (a₁ × a₂) = (2π/a) ((3√3a²/2) + (a²/2) - (3√3ca/2)x) = π((3√3a²/2) + (a²/2) - (3√3ca/2)x)

Therefore, the reciprocal lattice vectors are b₁ = πcŷ, b₂ = π(3√3cz/2)ŷ, and b₃ = π((3√3a²/2) + (a²/2) - (3√3ca/2)x).

(b) The interplanar distance, denoted as d, can be calculated using the formula:

d = 1/|b₃|

Substituting the value of b₃, we have:

d = 1/π((3√3a²/2) + (a²/2) - (3√3ca/2)x)

Note that the value of x is not provided, so we cannot calculate the specific interplanar distance without knowing the value of x.

distance cannot be determined without that information.

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The final answer is 3

The calculation you are looking to solve is 2.2 + (3)/(5). To solve this, we first need to convert the improper number 2.2 to a fraction. We can do this by multiplying the whole number by the denominator of the fraction and then adding the numerator. In this case, we would multiply 2 by 5 and then add 2, giving us 12/5. Now, we can add this fraction to the other fraction:

12/5 + 3/5 = 15/5

Next, we can simplify the fraction by dividing both the numerator and denominator by the greatest common factor. In this case, the greatest common factor is 5, so we can divide both the numerator and denominator by 5:

15/5 = 3

Therefore, the final answer is 3.

In summary, 2.2 + (3)/(5) = 3.

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Answer:

\(m = \frac{17 - 7}{ - 15 + 16} = 10 \\ \\ m = \frac{6 - 15}{ - 11 + 11} = \frac{ - 9}{0} = und\)

Answer:

3/8

Step-by-step explanation:

So, Leena eats 1/8 of the bread first.

Now, she gave 1/6 of the bread to EACH of her 3 friends.

So you will need to do 1/6*3, which is 3/6=1/2.

Now you want to do 1/8+1/2 = 1/8+4/8 = 5/8.

This means 5/8 of the bread is gone.

Now you will need to do 1-5/8 = 8/8-5/8=3/8.

Therefore, 3/8 of the bread is left.

I hope this helps!

L = k/f, where k is the variational constant, is the formula for the inverse variation.

A mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.

Using the variables length of violin 'l' and frequency of vibration 'f'

If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:

l α 1/f

l = k/f

Hence the formula for the inverse variation is l = k/f where k is the constant of variation.

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The missing value that completes the frequency table is 100

A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample.

How to solve:

From the graph given,

The battery life(hours) from x = 15  to x= 20 has a frequency of 130

The battery life(hours) from x= 28 to x= 30 has a frequency of 100

It can be inferred that from the battery life of the different models, the missing value is 100 and when you crosscheck the data, you would find this is correct and accurate.

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The levels of production that provide Alonzo's Cycling with the maximum profit are producing 4, 5, and 6 bikes per day. These production levels yield profits of 90, 90, and 80, respectively.

The profit column shows that producing 4, 5, and 6 bikes per day results in the highest profits compared to other production levels.

By analyzing the data in the table, we can observe that the profit column represents the difference between the total revenue and the total cost for each level of production. The maximum profit occurs when this difference is the highest. In this case, producing 4 bikes per day yields a profit of 90, while producing 5 bikes per day also results in a profit of 90. Producing 6 bikes per day provides a profit of 80. These three production levels offer the highest profits among all the options presented in the table. Therefore, Alonzo's Cycling should consider focusing on producing 4, 5, or 6 bikes per day to maximize their profits.

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According to the information, we can infer that the histograms indicate that female students tend to have a higher frequency of studying times compared to male students during the week prior to their AP tests.

By comparing the histograms, we can observe that the frequency of studying times for female students is generally higher across all time intervals compared to male students. Female students have a higher frequency in each category, indicating that they spend more time studying than male students during the week before the AP tests.

To further analyze the distributions, we can also consider the measures of center and variation. The measures of center, such as the mean or median, would provide insights into the typical studying time for each group. Additionally, measures of variation, such as the standard deviation or interquartile range, would indicate the spread or variability of studying times within each group.

Accoding to the above, based on the provided frequency distributions, it can be concluded that female students tend to dedicate more time to studying during the week prior to their AP tests compared to male students.

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Answer:

B) 0.4, D) 40% and A) 2/5

Step-by-step explanation:

Part/Whole=%/100

8/20=0.4*100=40%=2/5=0.4

The probability that you will randomly choose a chocolate chip cookie is 2 by 5 and 0.4, and 40%.

Given that,

Based on the above information, the calculation is as follows:

\(= 8\div 20\\\\= 2\div 5\\\\= 0.40\\= 40\%\)

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If you have your period every 4 weeks

Thare are 52 weeks in a year

Answer:60%

Step-by-step explanation:

90/150= 9/15 ÷ by 3 = 3/5=60%

Answer:

orge has not read 60% of the book.

Step-by-step explanation:

Percentage not read = (Pages not read / Total pages) * 100

Percentage not read = (90 / 150) * 100

Percentage not read = 0.6 * 100

Percentage not read = 60

Therefore, Jorge has not read 60% of the book.

Answer:

Step-by-step explanation:

Givens

Let the height = x

Let the base = 2*x +6

Let the area = 88 square feet.

Formula

A = Base * height / 2

Solution

88 = (2x + 6)*x/2                       Multiply both sides by 2

88*2 = (2x+6)*2*x/2                Combine

176 = (2x + 6)*x                        Remove the brackets

176 = 2x^2 + 6x                         Subtract 176 from both sides

0 = 2x^2 + 6x - 176                   This factors without the quadratic

0 = (2) (x^2 + 3x - 88)

0 = 2 (x +11)(x - 8)

Note: x + 11 has no meaning. Measurements of this type cannot be minus. What is - 11 feet.

x - 8 =0

x = 8

Answer

height = 8 feet

base = 2*8 + 6

base = 22

The difference of two Fractions can also be  a fraction,the result is always a rational number.

(a) The sum of two rational numbers is always true. When we add two rational numbers, the result is also a rational number. This is because rational numbers can be expressed as the ratio of two integers, and the sum of two fractions can be written as a fraction as well.

(b) The product of a rational number and an irrational number is sometimes true. The product of a rational number and an irrational number can result in either a rational or an irrational number, depending on the specific numbers involved. For example, if we multiply the rational number 2/3 by the irrational number √2, the result is (√2 * 2)/3 = (2√2)/3, which is an irrational number. However, if we multiply the rational number 1/2 by the irrational number √4, the result is (√4 * 1)/2 = 2/2 = 1, which is a rational number.

(c) The product of two rational numbers is always true. When we multiply two rational numbers, the result is always a rational number. This is because the product of two fractions can be written as a fraction as well.

(d) The difference between two rational numbers is always true. When we subtract one rational number from another, the result is always a rational number. This is because the difference of two fractions can also be expressed as a fraction.

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Answer:

a = 8/3b or b = 3/8a

Step-by-step explanation:

The fractions present in the table, 24/9 and 40/15, are equivalent to 8/3, showing a linear relationship between the variables a and b. Knowing this, reducing any of the 3 fractions to its lowest form will allow you to find the information necessary to develop an equation. As 8/3 turns out to be the simplest form of any of the fractions, the equation is a = 8/3b, or, if you decide to reverse the variables, b = 3/8a.

The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.

We have,

d=(2,4)

and e=(4k,3k)

Then,

d×e= (2 * 3k) - (4 * 4k) = -10k

Area of parallelogram = |d×e|

= |-10k|

= 10

As we know, area of parallelogram can also be given as,

|d×e| = |d||e| sin θ

where, θ is the angle between the two vectors.

Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ

⇒ 10 = √20 √25k^2 sin θ

⇒ 10 = 10k sin θ

∴ k sin θ = 1

Therefore, sin θ = 1/k

Hence, the value of k is 1.

Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,

| a . (b × c)|

Here, a=(1,1,2),

b=(5,3,λ), and

c=(4,4,0)

Therefore,

b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k

= -4i + 4λj + 8k

Now,| a . (b × c)|=| (1,1,2) .

(-4,4λ,8) |=| (-4 + 4λ + 16) |

=| 12 + 4λ |

Therefore, the volume of the parallelepiped is 12 + 4λ.

Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].

Here, a=(1,1,2) and

c=(4,4,0).

Then, a + c = (1+4, 1+4, 2+0)

= (5, 5, 2)

Now, projecting (a+c) onto c, we get,

projc(a+c) = [(a+c).c / |c|^2] c

= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)

= (4,4,0.5)

Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)

= (1,1,1.5)

Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).

Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

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Answer:

\(4w^{2} -49\)

Step-by-step explanation:

Expand  (2w+7)(2w−7)

2w(2w-7)+7(2w-7)

2w(2w)+2w*-7+7(2w-7)

2w(2w)+2w*-7+7(2w)+7*-7

Answer:

5/12

Step-by-step explanation:

You have to make it a common denomator and then subract until equeal.

Answer:

5/12

Step-by-step explanation:

X + 1/3 = 3/4

= X + 4/12 = 9/12

X = 9/12 - 4/12 = 5/12

Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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Answer:

I think it's positive

Step-by-step explanation: sorry if i'm wrong tho

Answer:

B. 12

Step-by-step explanation:

The length of each of its sides is 12 inches if the perimeter of a regular hexagon is 72 inches option (B) is correct.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

\(\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|\)

It is given that:

The perimeter of a regular hexagon is 72 inches.

P = 6a

Here P is the perimeter and a is the side length of the hexagon

72 = 6a

a = 72/6

a = 12 inches

Thus, the length of each of its sides is 12 inches if the perimeter of a regular hexagon is 72 inches option (B) is correct.

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The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer: (c)

Step-by-step explanation:

Given

The inequality is \(7y+1<8y-9\\\)

Solving the above inequality

\(\Rightarrow 7y+1<8y-9\\\\\Rightarrow 1+9<8y-7y\\\\\Rightarrow 10<y\ \text{or}\\\\\Rightarrow y>10\)

Thus, option (c) is correct.

The probability of the die showing any given output is 1/6.

Then, the probability of showing a 1 on the first turn is 1/6.

On the second turn, the probability of showing an even number is 1/2 because half of the output numbers are even.

To find the probability of showing a 1 on the first turn and an even number on the second turn, multiply the probabilities of each event:

Therefore, the probability of showin a 1 on the first roll and an even number in the second roll is 1/12.

Answer:

I'm pretty sure it would be 50 books on the shelf

Answer:

3(15x+2)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A is the only choice that has all of the steps and in order.

Answer:

sdfg

Step-by-step explanation:

xcvbn

Answer:

Its 268.08 hope this helps

Step-by-step explanation:

The correct answer and volume to this is 268.08 CM

The problem statement is in Spanish and it asks to express the relationship between atoms and molecules for a metal sample containing \(4.25 moles\) of molybdenum and \(1.63 moles\) of titanium.

However, we can make some assumptions based on the typical behavior of metals. Metals usually exist in a solid state and consist of closely packed atoms arranged in a crystal lattice. Therefore, we can assume that the metal in question is solid, and its atoms are arranged in a regular pattern.

In this case, we can assume that the metal sample contains a mixture of molybdenum and titanium atoms, and the atoms are arranged in a crystal lattice structure. The ratio of moles of molybdenum to moles of titanium in the sample is approximately 2.61:1 (4.25/1.63), which means that there are more molybdenum atoms than titanium atoms in the sample.

Since the metal is solid, we can assume that the atoms are arranged in a crystal lattice, and the ratio of the number of atoms of each element in the crystal lattice is determined by the chemical formula of the compound. Without knowing the chemical formula, we cannot determine the exact ratio of atoms and molecules in the sample.

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Answer:

5^-4

1/-625

Step-by-step explanation:

5^3 x 5^-7

They have the same base is 5, which means we just need to add the root, so 3 + (-7) = -4, so the answer is 5^-4

5^ -4

5 times 5 times 5 times 5 = -625

Because it is a negative exponent, means it is a fraction. So, the answer is

1/ -625

Answer:

Step-by-step explanation:

6\(\sqrt{5\\\)

\(\sqrt{5*36}\)

\(\sqrt{180}\)

If you think about it logically, how can you take 6 out? So there was a number 36 under the root, and because of that there is a possibility to take it out, because 6 squared is 36