PLEASE HELP MEEEE
Which relation is a function?

A. (1, 0), (3, 0), (1, 1), (3, 1) (1, 3)
B. (1, 1), (2, 2), (3, 3), (4, 4), (5, 8)
C. (2, 7), (6, 5), (4, 4), (3, 3), (2, 1)
D. (9, −3), (9, 3), (4, −2), (4, 2), (0, 0)

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

The surface area of the cylinder with a radius of 8 in and height of 6 in is 224π square inches.

The surface area of the cylinder is the total sum of the lateral surface area and the two cross-section area.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

where r is the radius and h is the height.

Plugging in the given values, we have:

SA = 2π(8²) + 2π(8)(6)

SA = 2π(64) + 2π(48)

SA = 128π + 96π

SA = 224π

Therefore, the surface area of the cylinder with a radius of 8 in and height of 6 in is 224π square inches.

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Answer:

everything can be found in the picture above. I hope it helps

Answer:

An equation is

\(y = \frac{1}{2} x + 13\)

.

Step-by-step explanation:

☆Since since we're given the slope, all we need to do is find the y-intercept.

☆The slope-intercept formula is: y = mx + b.

☆We are going to plug in according to the formula.

\(y = mx + b \\ \\ 10 = \frac{1}{2} ( - 6) + b \\ 10 = - 3 + b \\ \frac{ + 3 = + 3 \: \: \: \: \: \: \: \: \: }{13 = b \: \: \: \: \: \: \: \: \: \: \: } \)

☆We have everything we need, so now we put it together.

False. very few tools are available to assist system analysts and end users in analyzing data.

There are many tools available to assist system analysts and end users in analyzing data. Some commonly used tools include spreadsheets (such as Microsoft Excel), data visualization software (such as Tableau or Power BI), statistical analysis software (such as R or SPSS), and business intelligence software (such as SAP or Oracle).

These tools allow analysts and end users to process, manipulate, and visualize large volumes of data, as well as to perform complex statistical analyses and modeling. Additionally, with the advent of big data technologies, such as Hadoop and Spark, analysts and end users can now analyze vast amounts of data in real-time, using distributed computing systems.

In summary, there are many tools available to assist system analysts and end users in analyzing data, and these tools continue to evolve and improve over time.

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Answer:  66% of 110 is 72.6

Step-by-step explanation:

Because i said so

To multiply two square matrices of random integers between 1 and 10 of different sizes, i.e., 250 x 250, 500 x 500, and 1000 x 1000, we can use nested loops and the C++ language.

Here is the solution:

#include

using namespace std;

int main(){

int m1[1001][1001], m2[1001][1001], m3[1001][1001];

int n; // size of matrix

cout << "Enter the size of matrix: ";

cin >> n;//filling matrix m1 and m2 with random integer values between 1 and 10

for(int i=1;i<=n;i++)

{for(int j=1;j<=n;j++){m1[i][j] = rand() % 10 + 1; //random value between 1 and 10

m2[i][j] = rand() % 10 + 1;}

} //multiplying two matrices

for(int i=1;i<=n;i++){

for(int j=1;j<=n;j++){

m3[i][j] = 0;

for(int k=1;k<=n;k++){

m3[i][j] += m1[i][k] * m2[k][j];

}

}

}

return 0;

}

Explanation: The first thing you have to do is to declare three matrices using the integer data type. These are m1, m2, and m3. m1 and m2 matrices are used to store the random integers between 1 and 10, and m3 is used to store the result of the multiplication of the two matrices. Next, you have to declare the size of the matrix using the integer data type and input it using the cin function. Then, using a nested loop, you can fill in the matrices m1 and m2 with random integers between 1 and 10 using the rand() function. To multiply two matrices using nested loops, the first outer loop iterates through the rows of the first matrix m1. The second outer loop iterates through the columns of the second matrix m2. The inner loop is used to compute the dot product of the row and column from the two matrices. The resulting value is stored in the matrix m3 using the same row and column as the corresponding values in the two matrices m1 and m2.

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The coefficient matrix for the system is

[ 2  2 ]

[-4 -2 ]

The characteristic equation is

det(A - lambda*I) = 0

where A is the coefficient matrix, I is the identity matrix, and lambda is the eigenvalue. Substituting the values of A and I gives

| 2-lambda    2      |

|-4           -2-lambda| = 0

Expanding the determinant gives

(2-lambda)(-2-lambda) + 8 = 0

Simplifying, we get

lambda^2 - 6lambda + 12 = 0

Using the quadratic formula, we find that the eigenvalues are

lambda1 = 3 + i*sqrt(3)

lambda2 = 3 - i*sqrt(3)

To find the eigenvectors, we need to solve the system

(A - lambda*I)*v = 0

where v is the eigenvector. For lambda1, we have

[ -sqrt(3)   2      ][v1]   [0]

[ -4          -5-sqrt(3)][v2] = [0]

Solving this system, we get the eigenvector

v1 = 2 + sqrt(3)

v2 = 1

For lambda2, we have

[ sqrt(3)   2     ][v1]   [0]

[ -4         -5+sqrt(3)][v2] = [0]

Solving this system, we get the eigenvector

v1 = 2 - sqrt(3)

v2 = 1

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Answer:

5

Step-by-step explanation:

hope this helps ;)

The summary of the calculations for the given data set is as follows: The median is 48, the mean is approximately 46.42, the variance is approximately 120.52, the standard deviation is approximately 10.98, and the quartiles are Q₁ = 42, Q₂ = 48, and Q₃ = 52.

1. Median:

Arrange the data in ascending order: 21, 27, 28, 29, 32, 35, 35, 36, 41, 41, 42, 42, 43, 44, 44, 45, 46, 46, 46, 47, 47, 48, 48, 48, 49, 49, 50, 50, 51, 51, 52, 52, 53, 53, 54, 54, 56, 56, 56, 58, 64.

The median is the middle value, which is 48.

2. Mean:

Sum all the values: 45 + 52 + 48 + 41 + 56 + 46 + 44 + 42 + 48 + 53 + 51 + 53 + 51 + 32 + 56 + 21 + 49 + 56 + 28 + 35 + 64 + 48 + 46 + 43 + 52 + 50 + 54 + 47 + 44 + 47 + 50 + 49 + 52 + 28 + 36 + 54 + 41 + 29 + 35 + 58 + 42 + 46 + 27 = 1998.

Divide the sum by the number of data points (43): 1998 / 43 = approximately 46.42.

3. Variance:

Calculate the mean: 46.42 (from the previous step).

For each data point, subtract the mean, square the result, and sum all the squares.

Sum of squares: (45 - 46.42)² + (52 - 46.42)² + ... + (27 - 46.42)² = 52680.34.

Divide the sum by the number of data points (43): 52680.34 / 43 = approximately 1225.12.

4. Standard Deviation:

Take the square root of the variance: √1225.12 = approximately 35.00.

5. Quartiles:

Q₁: The median of the lower half of the data set is the 22nd value, which is 42.

Q₂: The overall median is the 22nd value, which is 48.

Q₃: The median of the upper half of the data set is the 32nd value, which is 52.

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Using probabilities P(A₁) = 0.40 , P(A₂) = 0.60, P(B|A₁) = 0.20, P(B|A₂) = 0.05,

a) No, A₁ , A₂ are not mutually exclusive because , their intersection probability is not a zero.

b) P(A₁∩ B) is 0.08 , P(A₂ ∩ B) is 0.03

c) P(B) = 0.09

d) Using Bayes' theorem P(A₁|B) is 0.89 , P(A₂|B) is 0.33 .

a. A₁ and A₂ are not mutually exclusive, as their intersection probability is non-zero (given as 0 in the problem statement).

b. We can compute P(A₁∩ B) and P(A₂∩ B) using the formula for conditional probability:

P(A₁∩ B) = P(B|A₁) * P(A₁) = 0.20 * 0.40 = 0.08

P(A₂ ∩ B) = P(B|A₂) * P(A₂) = 0.05 * 0.60 = 0.03

c. To compute P(B), we can use the law of total probability, which states that the probability of an event B can be calculated as the sum of the probabilities of B given each possible event in the sample space:

P(B) = P(B|A₁) * P(A₁) + P(B|A₂) * P(A₂) = 0.20 * 0.40 + 0.05 * 0.60 = 0.09

d. To compute P(A₁|B) and P(A₂|B), we can use Bayes' theorem:

P(A₁|B) = P(B|A₁) * P(A₁) / P(B) = 0.20 * 0.40 / 0.09 ≈ 0.89

P(A₂|B) = P(B|A₂) * P(A₂) / P(B) = 0.05 * 0.60 / 0.09 ≈ 0.33

Therefore, the probability that event A₁ occurred given that event B occurred is approximately 0.89, and the probability that event A₂ occurred given that event B occurred is approximately 0.33.

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Answer:

5

Step-by-step explanation:

7-2=x

7-2=5

x=5

.........................

Number of student lunch today is 450 students

Given:

Fraction of student lunch today = 5/8

Total number student = 720 students

Find:

Number of student lunch today

Computation:

Number of student lunch today = Fraction of student lunch today × Total number student

Number of student lunch today = (5/8) × (720)

Number of student lunch today = (5) × (90)

Number of student lunch today = 450 students

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From the following 4x - 1 is not an equation, because there is no equality.

Step-by-step explanation:

lookup-G Use the Polygon tool to draw the image of the given quadrilateral under a dilation with a scale factor of 4/5 and center of dilation (0, 0)

The probability the mean age at heart attack after using cocaine is greater than 42 is 0.9192. Hence, the correct option is D. 0.9192.

The standard deviation of the age of people who suffered heart attacks soon after using cocaine was 10 years. In a random sample of size 49, what is the probability the mean age at heart attack after using cocaine is greater than 42?We are given the following details:

The mean age of people in the study who suffered heart attacks soon after using cocaine was only 44.

Standard deviation = 10

Sample size = 49

Now we need to find the z-score using the formula:

z = (x - μ) / (σ / √n)

wherez is the z-score

x is the value to be standardized

μ is the mean

σ is the standard deviation

n is the sample size.

Substitute the values in the formula as given,

z = (42 - 44) / (10 / √49)z = -2 / (10/7)

z = -1.4

Probability of z > -1.4 can be found using the standard normal distribution table or calculator.

P(z > -1.4) = 0.9192

Therefore, the probability the mean age at heart attack after using cocaine is greater than 42 is 0.9192. Hence, the correct option is D. 0.9192.

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a) The sum of the first three composite numbers in the given sequence is 18. b)The sum of the first five composite numbers in the given sequence is 39.c)The sum of the first twelve composite numbers in the given sequence is 138.

1. The sequence of composite numbers given is 4, 6, 8, 9, 10, 12, 14, 15, 16, and so on.

2. We need to find the sum of the first three composite numbers in the sequence, denoted as S3.

3. The first three composite numbers in the sequence are 4, 6, and 8.

4. To find S3, we add these three numbers: 4 + 6 + 8 = 18.

1. The sequence of composite numbers given is 4, 6, 8, 9, 10, 12, 14, 15, 16, and so on.

2. We need to find the sum of the first five composite numbers in the sequence, denoted as S5.

3. The first five composite numbers in the sequence are 4, 6, 8, 9, and 10.

4. To find S5, we add these five numbers: 4 + 6 + 8 + 9 + 10 = 39.

1. The sequence of composite numbers given is 4, 6, 8, 9, 10, 12, 14, 15, 16, and so on.

2. We need to find the sum of the first twelve composite numbers in the sequence, denoted as S12.

3. The first twelve composite numbers in the sequence are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, and 21.

4. To find S12, we add these twelve numbers: 4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 + 20 + 21 = 138.

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9514 1404 393

Answer:

  a)  5 seconds

Step-by-step explanation:

Usually in such scenarios, we're interested in position and time where h(t) ≥ 0. For the given equation, that is 0 ≤ t ≤ 7.5. Values of t that are negative, and values of t that give h(t) a negative value are generally not of interest.

Then, the choice between a domain of [0, 1] and one of [0, 5] will depend on the reason for using the equation. We expect that the longer of these two domains is likely to be more reasonable:

  5 seconds

Answer:

a.) 5 seconds

Step-by-step explanation:

Answer:

190

Step-by-step explanation:

The distance between the tree and the rock formation is approximately 304.14 meters.

To find the distance between the tree (point T) and the rock formation (point R), we can use the law of cosines. The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the unknown distance between the tree and the rock formation as 'd.'

We have a triangle with sides of lengths 200 meters (side ST), 150 meters (side SR), and d meters (side TR). The angle opposite side ST is 120 degrees.

According to the law of cosines:

d² = 200² + 150² - 2 * 200 * 150 * cos(120°)

Now, we can calculate this expression to find the value of d:

d² = 40000 + 22500 - 60000 * cos(120°)

Using the value of cos(120°) ≈ -0.5, we have:

d² = 40000 + 22500 - 60000 * (-0.5)

d² = 40000 + 22500 + 30000

d² = 92500

Taking the square root of both sides to solve for d:

d = √92500

d ≈ 304.14

Therefore, the distance between the tree and the rock formation is approximately 304.14 meters.

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substitution

2x+y=5

y = -2x+5 (1)

3x-3y=3 (2)

1 ⇒ 2

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

3x+6x-15=3

9x=18

x=2

y = -2(2)+5

y = 1

Answer:

117.96438

Step-by-step explanation:

6.478 x 18.21 = 117.96438

Answer: I believe it is 117.96

Step-by-step explanation:

6.478×18.21 = 117.96438 but there can only be two numbers after the decimal so you go to the third number after the decimal and round if it is lower than five the second number after the decimal stays the same if it is above five it will round the second number after the decimal up one in this case it will stay the same so the answer is 117.96

Answer: The daily cost of production in a factory is calculated using

c(x) = 200 +16 x, where x is the number of complete products manufactured.

Complete products manufactured will can not be a decimal or fraction number.

The domain of function c(x) will be the set of  values x can take.x will be a set of whole numbers. Whole numbers are positive numbers, including zero, without any decimal or fractional parts.

Option D) whole numbers is the right answer.

(4) f(1) = 3, f(n+1)=3f(n) - 2

Step-by-step explanation: I hope this helps.

Answer:

See attached worksheet

Step-by-step explanation:

The solution to the inequality 12.5x+25≥175 represents the number of hours Patricia needs to work to save enough money for the phone. The solution will be greater than or equal to 12 hours, as 12.5 multiplied by 12 plus 25 equals 175. Therefore, Patricia needs to work at least 12 hours to save enough money for the phone.

The inequality that represents Patricia's situation is 12.5x + 25 ≥ 175, where x represents the number of hours she needs to work to save enough money for the phone. The left side of the inequality represents the total amount of money Patricia earns from babysitting and her hourly job, which is $25 plus $12.5x (since she earns $25 each week from babysitting and $10 per hour from her job, and x represents the number of hours she works per week). The right side of the inequality represents the cost of the phone, which is $175. The inequality states that Patricia needs to earn at least $175 to afford the phone, so she needs to work enough hours to make that amount.

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The set {a: a ∈ P(x) and |a| = 2} is equal to {{a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}}.

Here is the step-by-step explanation:

1. Identify the set x and the condition for the set {a: a ∈ P(x) and |a| = 2}.
2. Find all the subsets of x with exactly 2 elements.
3. Write the set {a: a ∈ P(x) and |a| = 2} as the set of all the subsets of x with exactly 2 elements.
The set {a: a ∈ P(x) and |a| = 2} is the set of all subsets of x that have exactly 2 elements.

In this case, the set x = {a, b, c, d}, so the subsets of x with exactly 2 elements are

{a, b}, {a, c}, {a, d}, {b, c}, {b, d}, and {c, d}.

Therefore, the set {a: a ∈ P(x) and |a| = 2} is equal to {{a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}}.

In conclusion, the set {a: a ∈ P(x) and |a| = 2} is equal to {{a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}} when x = {a, b, c, d}.

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The sequence of the energy conversion is;  Kinetic → electrical → light Option A

From the first law of thermodynamics, we know that energy can neither be created nor destroyed but it can be converted from one form to the other. We have been told that in this case, the flashlight shown below has no batteries. Instead, it is operated by squeezing and letting go of the handle.

The letting go of the handle is kinetic energy which would lead to electrical energy that is then converted into the visible light energy.

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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a) The firm's average variable cost function is AVC = -2y + 5.

b) The firm's marginal cost function is MC = 3y^2 - 4y + 5.

c) The average variable cost does not have a minimum point in this case.

To find the firm's average variable cost function, we divide the total variable cost (TVC) by the level of output (y).

(a) Average Variable Cost (AVC):

The total variable cost (TVC) is the sum of the variable costs, which are the costs that vary with the level of output. In this case, the variable costs are the terms -2y^2 + 5y.

TVC = -2y^2 + 5y

To find the average variable cost (AVC), we divide TVC by the level of output (y):

AVC = TVC / y = (-2y^2 + 5y) / y = -2y + 5

Therefore, the firm's average variable cost function is AVC = -2y + 5.

(b) Marginal Cost (MC):

The marginal cost represents the change in total cost that occurs when the output increases by one unit. To find the marginal cost, we take the derivative of the total cost function with respect to the level of output (y):

c'(y) = d/dy (y^3 - 2y^2 + 5y + 6) = 3y^2 - 4y + 5

Therefore, the firm's marginal cost function is MC = 3y^2 - 4y + 5.

(c) Level of Output at which Average Variable Cost is Minimized:

To find the level of output at which the average variable cost (AVC) is minimized, we need to find the point where the derivative of AVC with respect to y equals zero.

AVC = -2y + 5

d/dy (AVC) = d/dy (-2y + 5) = -2

Setting the derivative equal to zero and solving for y:

-2 = 0

Since -2 is a constant, there is no level of output at which the average variable cost is minimized.

Therefore, the average variable cost does not have a minimum point in this case.

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Answer:

Formulas for a rectangular prism:

Volume of Rectangular Prism: V = lwh.

Surface Area of Rectangular Prism: S = 2(lw + lh + wh)

Space Diagonal of Rectangular Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)

Step-by-step explanation:

Hope it helps :))))