What is the range?
2 ,9 ,7 ,9 ,1 ,6

Answer: 2.777777778 or 2.7 or rounded to 3.0

Step-by-step explanation: 100 • 36 = 2.7 or 3.0

Answer:

I am not 100 % but I think it is 2 books a week

Step-by-step explanation:

100/36

Brainlest??

Answer:

H

Step-by-step explanation:

the absolute value is how many points the number is from zero.

The absolute value of -5 is 5

-4 is 4

3 is 3

and 6 is 6

Therefore, H, has the smallest absolute value.

Hope this helps!

The answer is TRUE, When two sides and an angle are given at least one triangle can be formed.

When two sides and an angle are given, it is possible to form a unique triangle if the given angle is between the two given sides (i.e., the angle is not included by the two given sides). This is known as the Side-Angle-Side (SAS) criterion, which states that if two sides and the angle between them are given, then a unique triangle can be formed.

For example, if we are given that the length of side AB is 5 cm, the length of side AC is 7 cm, and the angle BAC is 60 degrees, then we can use this information to construct a unique triangle ABC.

However, if the given angle is not between the two given sides, then it is not possible to form a unique triangle. In this case, we would need to be given additional information, such as another angle or side length, to determine the dimensions and shape of the triangle.

In summary, the statement "When two sides and an angle are given at least one triangle can be formed" is true if the given angle is between the two given sides.

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Answer:

x = 9

FGH = 5x-3 = 42°

HGI = FGH = 42°

FGI = 42+42= 84°

Step-by-step explanation:

5x - 3 = 6x - 11

x = 9

The exact value of the area under the graph of f(x) over the interval [a,b] is False.

If f(x) is a constant function, meaning it has the same value for all x, then the graph of f(x) over the interval [a, b] will be a horizontal line.

The area under a constant function over any interval is simply the product of the constant value and the width of the interval.

However, the formula for the area of a rectangle is not applicable in this case because the graph of a constant function does not form a rectangle.

The area under a constant function is a rectangle only when the function is a constant height (y-value) over the entire interval, which is not the case for arbitrary constant functions.

To compute the exact value of the area under the graph of f(x) over the interval [a, b] when f(x) is a constant, you simply need to multiply the constant value by the width of the interval, which is (b - a).

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The arc length of the polar curve `r = e^(2θ)` where `0 ≤ θ ≤ 2π` is `0`.

To find the arc length of the polar curve `r = e^(2θ)` where `0 ≤ θ ≤ 2π`, we use the formula:

`L = int_a^b sqrt[r^2 + (dr/dθ)^2] dθ`

where `a` and `b` are the limits of integration, and `r` and `dr/dθ` are the polar coordinates of the curve.

First, we find `dr/dθ`:

`dr/dθ = d/dθ (e^(2θ)) = 2e^(2θ)`

Then, we plug in `r` and `dr/dθ` to the formula for arc length and integrate:

`L = int_0^(2π) sqrt[e^(4θ) + 4e^(4θ)] dθ`

`L = int_0^(2π) sqrt[5e^(4θ)] dθ`

`L = sqrt(5) int_0^(2π) e^(2θ) dθ`

Using integration by substitution with `u = 2θ`, we get:

`L = sqrt(5) int_0^(4π) (1/2) e^u du`

`L = sqrt(5) [ (1/2) e^u ]_0^(4π)`

`L = sqrt(5) [(1/2) e^(8π) - (1/2) e^0]`

`L = sqrt(5) [(1/2) (1) - (1/2) (1)]` (since `e^(8π) = 1`)

`L = 0`

Therefore, the arc length of the polar curve `r = e^(2θ)` where `0 ≤ θ ≤ 2π` is `0`.

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Answer:

$566.19

Step-by-step explanation:

If there is a 19% discount, the product is selling at 100-19=81% of the original price. Multiply and you get- 699*(81/100)=566.19 :)

Change management is a significant challenge for many organizations during enterprise system implementation due to various factors such as resistance to change, organizational culture, lack of employee engagement, and inadequate communication and training.

During enterprise system implementation, organizations typically undergo significant changes in processes, roles, and technologies. This can lead to resistance from employees who may be accustomed to existing ways of working. Resistance to change can hinder the adoption and utilization of the new system, affecting its success.

Organizational culture also plays a role. If the organization has a rigid or hierarchical culture that is resistant to change or lacks a culture of innovation and learning, it becomes difficult to implement and integrate the new system effectively.

Lack of employee engagement and involvement in the implementation process can further impede change. Employees need to understand the reasons behind the change, how it will benefit them and the organization, and be provided opportunities for input and feedback.

Inadequate communication and training can be a major obstacle. Employees must be informed about the changes, their roles and responsibilities, and be provided with sufficient training to effectively use the new system. Insufficient communication and training can lead to confusion, frustration, and resistance.

Overall, change management is crucial during enterprise system implementation to address these challenges and ensure a smooth transition, user acceptance, and successful adoption of the new system.

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Answer:

Step-by-step explanation:

f(x) = 3x + 2

To find f(5) substitute 5 into f(x)

That's

f(5) = 3(5) + 2

= 15 + 2

= 17

Hope this helps you

Answer:

17

Step-by-step explanation:

You just plug 5 into the equation

f(5)= 3(5)+2

=15+2

=17

Hope this helped! :)

The expected number of defective shirts produced by the factory on Friday is of:

42 shirts.

The expected number of defective shirts produced by the factory on Friday is obtained as the multiplication of the sample proportion by the total number of shirts produced on Friday.

The manager of a clothing factory checks a random sample 500 shirts for defects he finds that 8 are defective, hence the sample proportion is given as follows:

p = 8/500 = 0.016.

The factory produces 2625 shirts on Friday, hence the expected number of defective shirts is given as follows:

E(X) = 0.016 x 2625 = 42 shirts.

The problem is incomplete and could not be found on any search engine, hence we suppose that it asks for the expected number of defective shirts produced by the factory on Friday.

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Answer:

the dog with the butter-butter dog

Step-by-step explanation:

:)

Answer:

DOG WITH THE BUTTER

Step-by-step explanation:

Answer:

i dont know this answer im not the best at math but i hope you do get this answer

Step-by-step explanation:

The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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a. The total demand constraint on X and Y is X + Y ≤ 500.

b. The budget constraint on X and Y is 20X + 15Y ≤ 9,000.

c. The constraint on X is X ≥ 100.

d. The constraint on Y is Y ≥ 120.

e. The feasible region is the saded region satisfying all the constraints.

f. The monthly profit, P dollars, is given by the relation P = 2X + 1.5Y.

g. To maximize the monthly profit, the number of shirts A and B to be produced and sold needs to be determined.

a. The total demand constraint on X and Y is X + Y ≤ 500, which means the sum of the quantities of shirts A and B should not exceed 500 units, given the maximum estimated monthly demand.

b. The budget constraint on X and Y is 20X + 15Y ≤ 9,000, which states that the cost of producing X units of shirt A and Y units of shirt B should not exceed the monthly production budget of $9,000.

c. The constraint on X is X ≥ 100, indicating that the company needs to produce at least 100 units of shirt A per month.

d. The constraint on Y is Y ≥ 120, meaning that the company needs to produce at least 120 units of shirt B monthly.

e. The feasible region represents the region on the graph where all the constraints (a)-(d) are satisfied. It is the intersection of the feasible regions defined by each individual constraint. To find the coordinates of the corner points, one can solve the system of equations formed by the equations of the lines or inequalities representing the constraints.

f. The monthly profit, P dollars, can be calculated using the relation P = 2X + 1.5Y, where 2X represents the profit from selling shirt A and 1.5Y represents the profit from selling shirt B. This relation gives the total profit obtained by multiplying the quantity of each shirt by its corresponding profit per unit and summing them.

g. To maximize the monthly profit, the company needs to find the combination of X and Y that results in the highest value for P. This can be achieved by analyzing the feasible region and calculating the profit for each corner point. The corner point with the highest profit represents the optimal number of shirts A and B to produce and sell. To determine this point, one can substitute the coordinates of each corner point into the profit function P = 2X + 1.5Y and compare the values. The corner point with the highest profit value will be the solution to maximize the monthly profit.

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Answer:

-9/7

Step-by-step explanation:

Distribute

2x + 8 = -5x - 1

Get variables on left; constants on right

2x + 5x = -1 -8

Gather like terms and do the math

7x = -9

x = -9/7

Answer:

Infinite real solutions

Step-by-step explanation:

5(2x+7) - 3x = 7(x+5)

lets expand

10x+35 - 3x = 7x + 35

combine like terms

7x = 7x -- i subtracted 35 on each side and combined 10x - 3x

we see that

7x = 7x

Therefore, there is infinite real solutions.

Answer:

x < 3/14

Step-by-step explanation:

-14x > -3

divide each side by -14

however, whenever multiplying or dividing an inequality by a negative value then you must reverse the inequality symbol

x < 3/14

Answer:

divide by -14:

\(x<3/14\)

when you divide by a negative the sign flips

Answer:

26 1/2

Step-by-step explanation:

convert 4 5/12 into 53/12

multiply 53/12 by 6 to get 53/2

turn 53/2 into a mixed number = 26 1/2

Answer:

26 1/2 (C)

Step-by-step explanation:

Turn the mixed number into a improper fraction and turn 6 into a improper fraction

6/1*53/12

Cross Multiply 6 can into 12 twice

1/1*53/2

Just Multiply

53/2

Turn into a Mixed Number

26 1/2

Hope this helps!!!

Have a great day!!!! :)

Answer:

Mean: 20

Median: 16

Mode: No mode

Step-by-step explanation:

For the mean:

44 + 4 + 27 + 5 = 80

80/4 = 20

For the median:

5 + 27 = 32

32/2 = 16

For the mode:
None of the numbers are repeated.

The value of the function is 3x² -x + 2

It is important to note that functions are expressions, equations or laws showing the relationship between two variables.

These variables are;

From the information given, we have that;

f(x)8x^2-5x-7 and g(x)=5x^2-4x-9

To determine the composite function, f(x)-g(x), subtract the expressions;

8x^2-5x-7  - (5x^2-4x-9)

expand the bracket

8x² - 5x - 7 - 5x² + 4x + 9

collect and add the like terms

3x² -x + 2

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Answer:

u=4

v=2√3

Step-by-step explanation:

Sin(30°)=2/u

1/2=2/u

u=4

tan(30°)=2/v

√3/3=2/v

v=2√3

The magnitude of his displacement is 77.221952836296 m

In this question,

A baseball player hits a triple and ends up on third base.

A baseball "diamond" is a square, each side of length 25.740650945432 m, with home plate and the three bases on the four corners.

We need find the the magnitude of his displacement.

The magnitude of his displacement is the distance from home plate to the third base.

the distance from home plate to the third base is

= 3 × 25.740650945432

= 77.221952836296 m

Therefore, the magnitude of his displacement is 77.221952836296 m

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Answer:

Step-by-step explanation:

The probability of the random variable X being less than 100 is approximately 0.8944 or 89.44%.

Hi! Based on your question, you'd like to compute the probability P(X < 100) for a normally distributed random variable X with a mean of 80 and a standard deviation of 16.

To compute this probability, you can use the standard normal distribution table (Z-table) by first converting the given value (100) to a Z-score using the formula:

Z = (X - μ) / σ

Where X is the value (100), μ is the mean (80), and σ is the standard deviation (16).

Z = (100 - 80) / 16
Z = 20 / 16
Z = 1.25

Now, you can look up the Z-score (1.25) in a standard normal distribution table to find the probability P(X < 100):

P(X < 100) ≈ 0.8944

So, the probability of the random variable X being less than 100 is approximately 0.8944 or 89.44%.

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The equation q = m × ΔT × C can be solved for ΔT by rearranging the equation. The correct answer is (b) ΔT = mq/C.

To solve the equation q = m × ΔT × C for ΔT, we need to isolate ΔT on one side of the equation. We can do this by dividing both sides of the equation by m × C:

q = m × ΔT × C

Dividing by m × C:

q / (m × C) = ΔT

Rearranging the terms, we get:

ΔT = q / (m × C)

Therefore, the correct answer is (b) ΔT = mq/C. This rearranged equation allows us to calculate ΔT by dividing the heat transfer q by the product of mass (m) and specific heat capacity (C).

It's important to note that when solving equations, we should pay attention to the algebraic manipulations and ensure that the units of the variables are consistent throughout the calculation.

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Answer:

No solution.

Step-by-step explanation:

 Solving using elimination method:

           3a = - 5b - 2

    3a + 5b = -2 ------------------(I)

            10b = 1 - 6a

   6a + 10b = 1 --------------------(II)

\(\sf \dfrac{a_1}{a_2}= \dfrac{3}{6}=\dfrac{1}{2}\\\\\dfrac{b_1}{b_2}=\dfrac{5}{10}=\dfrac{1}{2}\\\\\dfrac{c_1}{c_2} = \dfrac{-2}{1}\)

\(\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}\)

So, this system of linear equations are two parallel lines and has no solution.

The required sample size is 907.

We have,

To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p  (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)

Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92

Since we need to round up to the next integer, the required sample size is 907.

Thus,

The required sample size is 907.

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The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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