What clockwise rotation will create the same image as 70 degree counterclockwise

4√2 +_√32 2√2 is equal to 4√2.  To compute the given expressions using modular addition, we need to perform addition modulo the given modulus.

Let's solve each exercise step by step:

7 +_11 9

To perform modular addition modulo 11, we add the numbers and take the remainder when divided by 11:

7 + 9 = 16

Now, we take the remainder when 16 is divided by 11:

16 mod 11 = 5

Therefore, 7 +_11 9 is equal to 5.

3/4 + _2 15/11

To perform modular addition modulo 15/11, we add the fractions and take the remainder when divided by 15/11:

3/4 + 15/11 = (33/44) + (60/44) = 93/44

Now, we take the remainder when 93/44 is divided by 15/11:

(93/44) mod (15/11) = (93/44) - (6/4) = (93/44) - (33/22) = (93 - 66)/44 = 27/44

Therefore, 3/4 +_2 15/11 is equal to 27/44.

5п/3 + _2л бл/5

To perform modular addition modulo 2п, we add the angles and take the remainder when divided by 2п:

5п/3 + 2п = (10п/3) + (6п/3) = 16п/3

Now, we take the remainder when 16п/3 is divided by 2п:

(16п/3) mod 2п = (16п/3) - (6п/3) = 10п/3

Therefore, 5п/3 +_2л бл/5 is equal to 10п/3.

4√2 +_√32 2√2

To perform modular addition modulo √32, we add the numbers and take the remainder when divided by √32:

4√2 + √32 = (4√2) + (4√2) = 8√2

Now, we take the remainder when 8√2 is divided by √32:

(8√2) mod √32 = (8√2) - (4√2) = 4√2

Therefore, 4√2 +_√32 2√2 is equal to 4√2.

Please note that the notation "+_a b" is used to represent modular addition modulo a, where b is the number being added.

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Overall, building a theory is a complex process that requires careful planning, attention to detail, and a willingness to remain open to alternative explanations and interpretations.

An important first step when building a theory is to formulate a clear and testable research question or hypothesis. A research question or hypothesis is a statement that suggests a relationship between two or more variables, and it guides the development of the theory. The research question or hypothesis should be specific, measurable, and falsifiable, meaning that it can be tested and potentially proven false through empirical research. Once a clear research question or hypothesis has been formulated, the researcher can then begin to gather and analyze data to support or refute the theory.

Another important first step when building a theory is to conduct a comprehensive review of existing literature and research in the field. This review helps the researcher to identify gaps or inconsistencies in current knowledge and to develop a clear understanding of the state of the field. This step can also help the researcher to refine their research question or hypothesis, as well as to identify potential variables and relationships that may be relevant to the theory.

Another important step when building a theory is to select an appropriate research design and methodology that will allow for the systematic collection and analysis of data. The research design should be aligned with the research question or hypothesis, and should enable the researcher to collect high-quality data that can be analyzed using appropriate statistical or qualitative methods.

In addition, it is important to be mindful of potential biases that can impact the development of a theory, such as confirmation bias or researcher bias. It is important for the researcher to be objective and to consider all possible explanations for their data, rather than solely seeking out evidence that supports their hypothesis or preconceived ideas.

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Answer:

\(\frac{1}{25}\)

Step-by-step explanation:

to find slope: \(m = \frac{y_2 - y_2}{x_2 - x_1}\)

\(m = \frac{6 - (-2)}{500-300} = \frac{8}{200\\}\\m = \frac{1}{25}\)

Answer: -5/21.

Step-by-step explanation:

\(\frac{2}{5}*[\frac{-3}{7} +(\frac{-1}{6})]=\frac{2}{5} *(-\frac{3}{7} -\frac{1}{6}) =\frac{2}{5}*(-\frac{3*6+1*7)}{7*6} )=\frac{2}{5}*(-\frac{18+7}{42})=\frac{2}{5}*(-\frac{25}{42})=-\frac{5}{21} .\)

Good luck an' have a nice day!

Answer:

Step-by-step explanation:

A matrix is symmetric if it is equal to its transpose. Thus, a 3x3 matrix A is symmetric if and only if A = A^T, where A^T is the transpose of A.To determine the dimension of Sym(3), we simply count the number of basis vectors, which is 6. Therefore, dim[Sym(3)] = 6

Let's consider the set of all 3x3 symmetric matrices, denoted Sym(3). To find a basis for Sym(3), we can use the fact that a symmetric matrix has only 6 independent entries: the entries on the diagonal, and the entries above the diagonal (or below the diagonal, since the matrix is symmetric).

To construct a basis for Sym(3), we can consider the following matrices:

The matrix E_11, whose (1,1) entry is 1 and all other entries are 0.

The matrix E_12 = E_21, whose (1,2) and (2,1) entries are 1 and all other entries are 0.

The matrix E_13 = E_31, whose (1,3) and (3,1) entries are 1 and all other entries are 0.

The matrix E_22, whose (2,2) entry is 1 and all other entries are 0.

The matrix E_23 = E_32, whose (2,3) and (3,2) entries are 1 and all other entries are 0.

The matrix E_33, whose (3,3) entry is 1 and all other entries are 0.

It can be shown that any symmetric 3x3 matrix can be written as a linear combination of these matrices. Thus, they form a basis for Sym(3).

To determine the dimension of Sym(3), we simply count the number of basis vectors, which is 6. Therefore, dim[Sym(3)] = 6

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Answer:

A is 15, B is 75, and C is 30

Step-by-step explanation:

Answer:

a.

graph this on desmos

y=15x

you learn 15 new vocab words per week

b.

75 words in 5 weeks

c.

30 more words

Step-by-step explanation:

The chi-square test for goodness of fit will produce a large value for chi-square under the circumstances where the observed frequencies significantly deviate from the expected frequencies based on the null hypothesis.

The chi-square test for goodness of fit is used to determine if there is a significant difference between the observed frequencies in a sample and the expected frequencies based on a specified distribution.

The test compares the observed frequencies in different categories or groups with the expected frequencies under the null hypothesis.

A large value for chi-square indicates a significant discrepancy between the observed and expected frequencies, suggesting that the null hypothesis is not supported.

This can occur in several circumstances.

First, if the sample size is large, even small differences between observed and expected frequencies can lead to a significant chi-square value.

Second, if there are substantial deviations between the observed and expected frequencies in one or more categories, the chi-square value will be large. This could indicate a lack of fit between the observed data and the expected distribution.

Additionally, if the assumptions of the chi-square test are violated, such as independence of observations or expected frequencies being sufficiently large, it can lead to inflated chi-square values.

These violations can distort the results and lead to a larger chi-square value.

In summary, the chi-square test for goodness of fit produces a large chi-square value when the observed frequencies significantly deviate from the expected frequencies, indicating a lack of fit between the observed data and the expected distribution.

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Answer:

The number of times a variable appears in a date set is called a constant.

Answer:

Total area of the composite figure = 129.1 square units

Step-by-step explanation:

Area of the figure attached = Area of semicircle + Area of the rectangle

Since area of the semicircle = \(\frac{1}{2}\pi r^{2}\)

where 'r' = radius of the circle

Area of the semicircle = \(\frac{1}{2}\pi (4)^{2}\)

                                     = 8π

                                     = 25.1 square units

Area of the rectangle = Length × width

                                    = 13 × 8

                                    = 104 square units

Total area of the composite figure = 25.1 + 104

                                                         = 129.1 square units

A type II error is committed when a true alternative hypothesis is mistakenly rejected.

This means that the null hypothesis is accepted even though it is false.

It is important to note that a type II error can occur when there is not enough power in the study, which can be influenced by factors such as the sample size, effect size, and variability.

It is important to minimize the risk of type II errors by increasing the power of the study through appropriate sample size and statistical methods.

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The required values of the given scale images are as follows:

a. x = 17.5, b. x = 16.67, and x = 5.

a. As we know that scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

As per the given figure a, we can be written as:

35/x = 18/9

35 × 9 = 18x

x = (35 × 9)/18

x = 17.5

b. As per the given figure b, we can be written as:

x/10 = 15/9

x = (15 × 10)/9

x = 150/9

x = 16.67

c. As per the given figure c, we can be written as:

x/2 = 15/6

x = (15 × 2)/6

x = 5

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Certainly! To find the probability that exactly 10 out of the 50 executives say that older workers have blocked their career advancement, we can use the binomial probability formula. This is because the problem you described is a binomial experiment - there are a fixed number of trials (n=50), each trial has only two possible outcomes (either an executive says older workers have blocked their career advancement or not), the probability of success (saying older workers have blocked their career advancement) is constant (p=0.24), and the trials are independent.

The binomial probability formula is:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k),

where:

- P(X = k) is the probability of having exactly k successes in n trials.

- n is the number of trials (in this case, 50).

- k is the number of successes (in this case, 10).

- p is the probability of success on a single trial (in this case, 0.24).

- (n choose k) is the number of ways to choose k successes out of n trials and is calculated as n! / (k! * (n-k)!), where "!" denotes the factorial function.

Plugging in the values:

P(X = 10) = (50 choose 10) * 0.24^10 * (1-0.24)^(50-10)

= (50! / (10! * (50-10)!)) * 0.24^10 * (1-0.24)^(50-10)

≈ 0.054.

This means there's approximately a 5.4% chance that if you randomly select 50 executives, exactly 10 of them will say that older workers have blocked their career advancement.

The order of processing requests and the total movement for each disk scheduling algorithm are as follows:

(1) SSTE: 133, 131, 85, 125, 1470, 913, 948, 1022, 1509, 1750, 1764. Total movement = 2929 tracks.

(2) SCAN: 133, 1470, 1764, 1750, 1509, 948, 913, 1022, 131, 85, 125. Total movement = 4639 tracks.

(3) C-SCAN: 133, 1764, 1750, 1509, 1022, 948, 913, 85, 131, 125, 1470. Total movement = 5423 tracks.

In the SSTE (Shortest Seek Time First) algorithm, the request with the minimum seek time from the current head position is processed next. Starting from track 133, the order of processing the requests is 85, 133, 125, 1470, 913, 948, 1022, 1509, 1750, 1764, and 131. The total movement is calculated by summing up the absolute differences between consecutive tracks.

In the SCAN algorithm, the disk arm starts at one end of the disk and moves towards the other end, servicing requests along the way. After reaching the other end, the head movement is reversed, and servicing continues. In this case, the order of processing the requests is 85, 133, 1764, 1750, 1509, 948, 913, 131, 125, 1022, and 1470. The total movement is calculated similarly to SSTE.

The C-SCAN (Circular SCAN) algorithm treats the cylinders as a circular list and moves from one end to the other, servicing requests. However, when reaching the other end, it immediately returns to the beginning of the disk without servicing any requests on the return trip. The order of processing the requests using C-SCAN is 85, 133, 913, 948, 1022, 1470, 1509, 1750, 1764, 125, and 131. The total movement is calculated accordingly.

These disk scheduling algorithms aim to minimize the movement of the disk arm and optimize the efficiency of processing requests based on their locations on the disk.

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The experimental probability of needing exactly six rolls to get doubles is given as follows:

p = 0.2 = 20%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The dot plot shows the number of each rolls, hence the total number of students is given as follows:

2 + 1 + 2 + 3 + 5 + 4 + 1 + 2 = 20 students.

4 of these students needed six rolls, hence the probability is given as follows:

p = 4/20

p = 1/5

p = 0.2 = 20%.

The problem is given by the image presented at the end of the answer.

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The solution to the equation \(\sqrt{3r^2} = 3\) is given as follows:

\(r = \pm \sqrt{3}\)

The equation in the context of this problem is defined as follows:

\(\sqrt{3r^2} = 3\)

To solve the equation, we must isolate the variable r. The variable r is inside the square root, hence to isolate, we must obtain the square of each side, as follows:

3r² = 9.

Now we solve it as a quadratic equation as follows:

r² = 3.

\(r = \pm \sqrt{3}\)

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Concepts Used:                                                                                                    

Finding x:_____________________________________________            

From the Exterior angle property, we know that the measure of an exterior angle is the sum of the 2 opposite interior angles

So, using the property

(3x-10) = (25) + (x + 15)

3x - 10 = 25 + x + 15

3x - 10 = 40 + x

3x-x - 10 = 40              [subtracting x from both sides]

2x - 10 = 40

2x = 50                        [adding 10 on both sides]

x = 25                          [dividing both sides by 2]

Hence, the value of x is 25

Answer:

length of third side is 10 units.

Step-by-step explanation:

let x be the missing side

by pythagorus :

Answer:

$40 and $72, see below :)

Step-by-step explanation:

One way we can do this is to add the total ratios and then divide that from 112.

10x + 18x = 28x = 112

28x = 112

x = 4

That means, for every ratio, you just have to multiply the amount by 4.

so for example, 10 is just 10 * 4 = 40

So, your answer would be you share the money into $40 and $72

We can write the volume of the water in the water tank is 9/10 cubic meters.

The volume of a cuboid is given by -

V = Length x Width x Height

V = L x W x H

Given is that a water tank in the shape of a cuboid has length 1.5 meter's and width 1 meter. The water in the tank is 60 centimeters deep.

We can write the volume of the water tank as -

V = Length x Width x Height

V = L x W x H

V = 1.5 x 1 x (60/100)

V = 1.5 x 3/5

V = 3/2 x 3/5

V = 9/10 cubic meters

Therefore, we can write the volume of the water in the water tank is 9/10 cubic meters.

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Answer:

Exponential decay

Step-by-step explanation:

The general form of an exponential function is

\(P=P_{0}a^t\), where P0 is the initial value, a is the base, and t is the exponent.

In your example, P0 is 1 and a is 4/5.

A function is experiencing exponential growth when a > 1.

A function is experiencing exponential decay when 0 < a < 1.

4/5 lies between 0 and 1, so the function is experiencing exponential decay.

The unit rate for $210 of 17 ft² rounded to the nearest hundredth is equal to 12.

A conversion factor simply refers to a number that is typically used to convert a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal numerical value must be used when it is necessary to perform any mathematical conversion.

Conversion:

210 dollars = 17 square feet.

x dollar = 1 square feet.

Cross-multiplying, we have:

17x = 210

x = 210/17

x = 12.35 ≈ 12

Therefore, the unit rate is equal to 12.

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Answer:

x = 16

Step-by-step explanation:

We can use ratios to solve

12             x

--------- = ----------

3                    4

Using cross products

12*4 = 3x

Divide each side by 3

48/3 = 3x/3

16 =x

Answer:

The answer to the question provided is 60.

Answer:

True

Step-by-step explanation:

If two of the half planes never intersect, there is no way for the lines to reach each other hence giving no soultion

Answer:

its false

Step-by-step explanation:

Answer:

10x=y

Step-by-step explanation:

Divide your outputs by your inputs. In other words, divide 20 by 2, 50 by 5, and 70 by 7. These all equal 10. Therefore, 10 times x will equal y.

9514 1404 393

Answer:

Step-by-step explanation:

The sum of the two adjacent angles is equal to the angle that includes both.

  ∠NBS +∠SBR = ∠NBR . . . . . angle sum theorem

  (12x -4) +42 = (17x +8)

  30 = 5x . . . . . . . . . . . . . . subtract 12x+8

  6 = x . . . . . . . . divide by 5

__

Then the measure of ∠NBS is ...

  ∠NBS = 12x -4 = 12·6 -4

  ∠NBS = 68 . . . . degrees

Answer:

228 square meters

Step-by-step explanation:

Answer:

can you redo the picture cuz i can't see the rest of the side

ima edit my answer

Step-by-step explanation:

mrk me brainliest plz tho