help help help??? pls pls pls???

Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

In an ideal crystal lattice, two general points r and r' are related by a lattice vector if their difference vector Δr can be expressed as a linear combination of the lattice translation vectors a₁, a₂, and a₃ with integer coefficients. This condition ensures that the lattice symmetry and periodicity are preserved between the two points.

In an ideal crystal lattice, the condition between two general points r and r' that must hold for lattice vectors is that the difference vector Δr = r' - r should be a linear combination of the lattice translation vectors a₁, a₂, and a₃ with integer coefficients.

Mathematically, this condition can be expressed as:

Δr = r' - r = u₁a₁ + u₂a₂ + u₃a₃

where u₁, u₂, and u₃ are arbitrary integers.

The reason for this condition is rooted in the concept of translational symmetry in crystal lattices. In an ideal crystal lattice, the arrangement of atoms, ions, or molecules is characterized by a repeating pattern that extends infinitely in space.

The lattice translation vectors a₁, a₂, and a₃ define the periodicity and symmetry of the lattice, representing the fundamental translation operations that generate the lattice points.

By expressing the difference vector Δr as a linear combination of the lattice translation vectors, we ensure that r' and r are related by a lattice vector. In other words, if we apply the lattice translation operation represented by Δr to r, it should bring us to another lattice point r' within the crystal lattice.

If the condition is not satisfied, it means that Δr cannot be expressed as a linear combination of the lattice translation vectors. In such cases, r' and r are not related by a lattice vector, indicating that r' does not belong to the same crystal lattice as r.

In summary, the condition for lattice vectors between two general points r and r' in an ideal crystal lattice is that the difference vector Δr should be expressible as a linear combination of the lattice translation vectors a₁, a₂, and a₃ with integer coefficients. This condition ensures that r' and r are related by a lattice vector and maintains the translational symmetry inherent in crystal lattices.

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Complete Question:

2. The general point r in an ideal crystal lattice is defined by the relation: r = u₁a₁ + u₂a₂ + u₃a₃ where a₁, a₂, and a₃ are the lattice translation vectors, and u₁, u₂ and u₃ are arbitrary integers. What is the condition between two general points r and r’ which has to hold for lattice vectors? Explain why.

Answer:

i think the answer is 738

The solution to the inequalities 3x + 5 < 6x + 8 and 4x + 3 < 7x + 5 is x > -1 and x > -2/3 respectively

Inequality signs are;

3x + 5 < 6x + 8

3x - 6x < 8 - 5

-3x < 3

x > 3/-3

The inequality sign is flipped from < to greater than because of the division with negative value.

x > -1

2. 4x + 3 < 7x + 5

4x - 7x < 5 - 3

-3x < 2

The inequality sign is flipped from < to greater than because of the division with negative value.

x > -2/3

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Answer: A.

Step-by-step explanation:

The correct answer is A.

Answer:

The greatest number of cutlery holders Layla can stock is 15 holders.

Step-by-step explanation:

You can put 2 of each type of cutlery in each holder.

12 forks use 6 holders.

18 knives use 9 holders.

6+9=15

The greatest number of cutlery holders Layla can stock is 15 holders.

1. The volume of water in the tank before the valve is opened is 9362 cubic meters. 2. It takes 151 hours for the tank to fully empty.

Modeling is the process of representing and analyzing real-world events using mathematical ideas and methods. It is a crucial component of mathematics because it enables systematic, quantitative prediction, problem-solving, and understanding of complicated processes.

We may learn about the behavior of systems, test hypotheses, and arrive at wise conclusions by using mathematical models. We may use models to enhance processes, forecast results, and discover key factors.

The equation of the volume is given as V = 62(151 - t).

At t= 0 we have the volume as:

V = 62(151 - 0) = 9362 cubic meters

To empty the tank we take V = 0:

0 = 62(151 - t)

151 - t = 0

t = 151

Hence, the volume of water in the tank before the valve is opened is 9362 cubic meters and it takes 151 hours for the tank to fully empty.

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Answer: DOWN BELOW

Step-by-step explanation:

-3 -47

-1 -7

1 -1

3 -47

Answer:

6 Buckets

Step-by-step explanation:

30-12 =18

18 divided by 3 = 6

Answer:

6

Step-by-step explanation:

30-12=18

18/3=6

You are correct! It's 6 buckets :)

Answer:

All real numbers

Step-by-step explanation:

There is no real number that makes the expression undefined, therefore the domain would be all real numbers.

Step-by-step explanation:

To find probability ratio wise

Sports Cars: Total Cars

3 + 3 + 2 = 8 total cars

2 sports cars

Ratio is 2:8

Reduces to 1:4

Answer:

2x + 15y + 2,960

Step-by-step explanation:

Single Rides are $2 each, represented by x

All day passes are $15 each represented by y

Combined they equal the total revenue; 2,960.

Answer:A

Step-by-step explanation:

I JUST TOOK THE TEST ON EDGE

The possible root of the function are: ±1, ±1/3, ±1/9 , ±2, ±2/3, ±2/9, ± 4, ±4/3, ±4/9.

In algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the fraction's denominator and the constant term (the one without a variable) must be divisible by the fraction's numerator.

We have the function f(x) = 9\(x^4\) - 2x² - 3x + 4.

For Polynomial Function

f(x) = p\(x^n\) + ...... + q

So, The possible rational roots are calculated using

Roots = ± factors of p / factors of q

          = ± factors of 4 / factors of 9

          = ± 1, 2, 4 / 1, 3, 9

So, the possible rational roots are ±1, ±1/3, ±1/9 , ±2, ±2/3, ±2/9, ± 4, ±4/3, ±4/9.

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The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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Answer:

1 solution

Step-by-step explanation:

If you solve for the system of equations you get (0,1) or x=0; y=1. This leads us to select B: One Solution as our answer choice.

If you can please give my answer the brainliest that would be much appreciated. Thanks!

The overall ratio of A + T/G + C in the complementary strand is 0.5.

This is because the bases A and T, and G and C, always pair together in DNA. Therefore, if one strand of DNA has a ratio of 0.5 for A + T/G + C, the complementary strand will also have the same ratio.
To further explain, let's look at the individual bases. If A + T = 0.5, this means that the ratio of A to T is 1:1. Similarly, if G + C = 0.5, this means that the ratio of G to C is also 1:1. Since A always pairs with T, and G always pairs with C, the complementary strand will also have a 1:1 ratio for these bases. Therefore, the overall ratio of A + T/G + C in the complementary strand will also be 0.5.

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Answer:

b. |−37| + |−28|

Step-by-step explanation:

The absolute value of a number is its distance from 0 on the number line. Since the divers are below sea level, both 37 and 28 will be negative numbers.

To find the distance between the two divers, we need to add the absolute values of their depths.

The first diver is at -37 ft and the second diver is at -28 ft, so we can calculate the distance between them as |-37| + |-28| = 37 + 28 = 65 ft

Answer:

The ones in red are my answers and the one in black is given

Step-by-step explanation:

I hope it helps

The completed magic square is given below.

Given that, in a magic square, the numbers in each row and in each column have the same sum. This sum is called the magic sum.

We need to complete the magic square so that each row and each column has a magic sum of 0. Each integer from −4 to 4 appears exactly once.

A square is divided into smaller squares each containing a number, such that the figures in each vertical, horizontal, and diagonal row add up to the same value.

The completed magic square is given below.

The sum in the first row=-1+4+(-3)=0

The sum in the second row=-2+0+2=0

The sum in the third row=3+(-4)+1=0

Hence, the completed magic square is given below.

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In order to make it simpler to recognize the values in the chart, a gridline is a line that extends from the chart's horizontal or vertical axis into the plot area.

Therefore, in order to make it simpler to recognize the values in the chart, a gridline is a line that extends from the chart's horizontal or vertical axis into the plot area.

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Correct question:
a(n) ____ is a line that extends from the chart's horizontal or vertical axis into the plot area, making it easier to identify the values in the chart.

The median is the middle value of a data set when it is arranged in ascending or descending order. To find the median, we need to arrange the given numbers in ascending order: 12, 13, 16, 17, 20, 25, 26, 28, 33, 34, 36.

Since there are 11 numbers in the data set, the median will be the value in the middle position. In this case, the middle position is the 6th position, which corresponds to the number 25.

Therefore, the median of the given distribution is 25.

The correct option is O 25.

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Answer: 1) Error response times

2) Memory Scanning, visual search

3) Stimulus identification

Step-by-step explanation:1) response times reflext the time it takes to interpret a stimulus,get info from memory, initiate a muscle response

2) The hippocampus retrieves info from the working memory and begins to change the brains physical neural wiring

3) A decisive role in our perception and cognition

In general, there are two areas of psychology where mathematics is heavily utilized: mathematical modeling of psychological theories and experimental phenomena, which gives rise to mathematical psychology, and statistical approaches to quantitative measurement practices in psychology, which give rise to psychometrics.

Answer:

Please find attached the required graph for the temperature time relationship

Step-by-step explanation:

The parameters given are arranged in a tabular form as follows;

At

Time                                            Temperature

6 a. m.                                            56° F

7 a. m.                                             59° F

8 a. m.                                             62° F

9 a. m.                                             66° F

10 a. m.                                           70° F

11 a. m.                                            74° F

12 p. m.                                           74°F

1 p. m.                                             74°F

2 p. m.                                            74°F

3 p. m.                                            74°F

4 p. m.                                            74°F

5 p. m.                                            74°F

6 p. m.                                            74°F

7 p. m.                                            71°F

8 p. m.                                            68°F

9 p. m.                                            65°F

10 p. m.                                           62°F

11 p. m.                                            61.5°F

12 a. m.                                            61°F

With the above table as the data points, the graph can be drawn

From Excel, The Mean temperature is approximately 68.1°F

The standard deviation is 6.079 °F

The process of counting the number of observations is knowns as Tabulation.

The logical representation of the numerical data written in rows and columns is known as tabulation. It helps in to facilitate the statistical analysis. The data that can be organized in the form of table is termed as tabulation. The data in the table can be represented in a systematic manner. The main objective of tabulation is to present the systematic data in a brief manner.

There are two types of tabulation. They are:

1.Simple tabulation

2.Complex tabulation

A simple example for the tabulation is, The population of the people is divided into religion, caste, gender, age etc.

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Answer: are you sure your equation is correct?

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Each square is a square unit. So just count the squares!

And what about the cut parts that don't take the full square? It's half of the square, so just count as 1/2

So, 1 2 3 4, ___ 5 6 7 8, ___ 9 10 11 12, ___ 13 14 15 16, ___ 17 18, ___ 18 + 1/2 + 1/2 = 19, ___ 19 + 1/2 +1/2= ..... 20 !

As a result of Charles investing both locally and internationally, C.  If one market fails to perform, the other market may continue to provide returns

When Charles invested in both local and international stock, he engaged in a process known as diversification.

Diversification reduces risk because there is a chance that when some stock are not performing well, others will be because they are not affected by the same things.

Charles's stock will not be affected by the same things such that when the domestic stock isn't doing well, the international stocks might be doing well.

In conclusion, option C is correct.

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Answer:

Select the correct answer.

Charles is planning to buy both domestic and international stock to add to his portfolio. What benefit will he gain from including both kinds of investments?

A.

His investments in the international market will be affected if his domestic stocks don’t perform well.

B.

High exchange rates in the international market will boost his domestic investments.

C.

If one market fails to perform, the other market may continue to provide returns.

D.

The domestic stocks will make the currency exchange rate among international stocks easier to manage.

Step-by-step explanation:

The linear transformation T: R³ → R³ that projects u onto v has Rank(T) = 1 and the basis for the kernel of T is {a}.

To find the rank and nullity of the linear transformation T: R³→ R³, we need to determine the dimensions of the image space (range) and the kernel (null space) of T.

(a) Rank of T:

The rank of T is equal to the dimension of the image space. Since T projects u onto v, the image of T is the span of the vector v. Therefore, the rank of T is 1.

Rank(T) = 1

(b) Basis for the kernel of T:

The kernel of T consists of all vectors u in R³ that are mapped to the zero vector in R³. In other words, it consists of all vectors u perpendicular to the vector v.

To find a basis for the kernel, we need to solve the equation T(u) = 0. Since T projects u onto v, we can express this as u - proj_v(u) = 0.

For any vector u in R³, the projection of u onto v can be computed as:

proj_v(u) = (u · v) / (||v||²) * v

where u · v represents the dot product of u and v, and ||v|| is the norm (length) of v.

In this case, v = (a), so we can rewrite the projection formula as:

proj_v(u) = (u · (a)) / (||a||²) * (a)

Since T(u) = u - proj_v(u) = 0, we have:

u - (u · (a)) / (||a||²) * (a) = 0

This equation can be rearranged as:

u = (u · (a)) / (||a||²) * (a)

Now we can find a basis for the kernel by setting u to be a free variable and expressing it in terms of (a).

Let's denote the scalar (u · (a)) / (||a||²) as k:

u = k * a

Therefore, any vector in the kernel of T can be written as k * a, where k is a scalar.

A basis for the kernel of T is {a}.

So, the basis for the kernel of T is {a}.

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Answer:

1.5 million

Step-by-step explanation:

To find this you need to find 60% of the 2.5 million people. To do this, multiply 2.5 million by .6, which is 60% in decimal form, and then you'd get 1.5 million.