The figure below is dilated with the center of dilation at the origin and a scale factor
of. What are the coordinates of the image of point B after this transformation?
Can someone help please thank you

Based on the given bar chart, the modal mark of the pupils test score is 6.

A bar chart is the graphical representation of data using rectangles also referred to as bars.

A mode is a statistical measure which shows the data with the most reoccurring value. Simply put, the mode is the value which occurs most in a frequency distribution.

Number of pupils Marks scored

1. 1

2. 2

3. 3

3. 4

4. 5

5. 6

3. 7

2. 8

1. 9

1. 10

Therefore, 5 pupils scored 6 marks which is the Model mark because it has the highest number of pupils to the test scores.

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x³ + y³ + 3x²y

= (2)³ +(2)³ + 3 × (2)² ×2

= 8 +8 + 6× 4

= 16 + 24

= 40

Answer:40Step-by-step explanation: Put the value of X and y in the given equation (2)*3+(2)*3+3(2)*2(2) = 8+8+24 = 40

The dimension of the null space (Nul A) of the given matrix is 2. The dimension of the column space (Col A) is 1. The dimension of the row space (Row A) is 1.

To find the dimensions of the null space, column space, and row space of a matrix, we need to examine its row reduced echelon form or perform operations to determine the linearly independent rows or columns.

The given matrix A is a 4x3 matrix. To find the null space, we need to solve the homogeneous equation A*x = 0, where x is a vector of unknowns. Row reducing the augmented matrix [A|0], we can see that the first and fourth rows have pivot positions, while the second and third rows are all zeros. Therefore, the null space has 2 dimensions.

To find the column space, we need to determine the linearly independent columns. By observing the original matrix A, we can see that the first column is linearly independent, while the second and third columns are multiples of the first column. Hence, the column space has 1 dimension.

To find the row space, we need to determine the linearly independent rows. By examining the row reduced echelon form of the matrix A, we can see that there is one non-zero row, which indicates that the row space has 1 dimension.

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Step-by-step explanation:

given,

radius = 6 cm

height = 25 cm

we know,

Surface area of cylinder = 2πrh + 2πr²

after inserting the values we got,

→ 2 × 22/7 × 6 × 25 + 2 × 22/7 × 36

→ 942.85 + 226.28

→ 169.13

hope this answer helps you dear...may u have a great day ahead!.

I remember answering the same question, but you didn't attach any photos. But I remember that the answer is the first one.

I hope I helped. Stay safe and God bless!

- Eli <3

Answer:

The First One

Vote for Brainless

1) The value of 4A - B is, 3i - 8j

2) The value of AB is, AB = - 36

3) the three cube roots of 1 + i:

⇒ √(2)  (cos(pi/12) + isin(pi/12)),  √(2) (cos(5pi/12) + i*sin(5pi/12)),

√(2) (cos(3pi/4) + i*sin(3pi/4))

4) The value of x and y are,

x = 4, y = 7

1) Given that,

A = 2i - 3j

B = 5i + 7j

Hence,

4A - B

4 (2i - 3j) - (5i + 7j)

8i - 1j - 5i - 7j

Combine like terms,

3i - 8j

2) Given that,

A = 3i + 4j

B = 5i - 12j

Hence, We get;

AB = (3i + 4j) (5i - 12j)

AB = (3×5 - 4×12)

AB = 15 - 48

AB = - 36

3) Given that,

⇒ Cube root of (1 + i)

Here, Modulus of (1 + i),

|1 + i| = √1 + 1

        = √2

Argument of (1 + i);

tan⁻¹ (1/1) = π/4

Hence, By Using De Moivre's formula, the cube roots of (cos(pi/4) + i*sin(pi/4)) are:

⇒ (cos(pi/12) + i sin(pi/12)), (cos(5pi/12) + i sin(5pi/12)),

and (cos(9pi/12) + i sin(9pi/12))

Multiplying each by √(2) gives us the three cube roots of 1 + i:

⇒ √(2)  (cos(pi/12) + isin(pi/12)),  √(2) (cos(5pi/12) + i*sin(5pi/12)),

√(2) (cos(3pi/4) + i*sin(3pi/4))

4) Given that,

(x + 2) + 4i= 6 + (y - 3)i

x + 2 + 4i = 6 + (y - 3)i

Comparing, we get;

x + 2 = 6

x = 6 - 2

x = 4

y - 3 = 4

y = 3 + 4

y = 7

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Answer:

it will be 12 your welcome :)

Step-by-step explanation:

The percentage of members who have contributed to park cleanup will be 87.5%.

There will be 490 members who have helped clean up the park.

The percentage is defined as a ratio expressed as a fraction of 100.

As per the question, So far, 7/8 of the soccer club's 560 members have helped clean up their practice park.

The percentage of members that helped clean up the park will be calculated as :

= 7/8 × 100

= 87.5%

The members that have helped clean up the park will be calculated as :

= 7/8 × 560

Apply the multiplication operation, and we get

= 490 members

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The correct answer is: To express each individual outcome when repeatedly rolling a die until getting a 3, you can create a list using the numbers rolled and an ellipsis (...) to indicate repetition.

To express each individual outcome when repeatedly rolling a die until getting a 3, you can create a list using the numbers rolled and an ellipsis (...) to indicate repetition. Your answer would be:

Individual outcome: {1, 2, 4, 5, 6, 3}, {1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 3}, {1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 1, 2, 4, 5, 6, 3}, ...

In each list, you roll the die until you get a 3, and you can repeat this process infinitely. The ellipsis indicates that this pattern continues indefinitely.

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The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.

The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.

To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.

Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929

Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.

This means that the overall performance of all the students is slightly below the average of the scores in each group.

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oky oky oky oky oky oky

sana makatulonh

Answer:

247.21

Step-by-step explanation:

equation for height :  c= a2 + b2

4.82 + 9.32

≈10.46566

equation for surface area: A=5 /4tan(54°)a2+5a /2h2+(atan(54°) /2)2

5 /4·tan(54°)·72+5·7 /2·7.972+(7·tan(54°) /2)2

≈247.21018

round to nearest hundredth: 247.21

Answer:

5 is small 6 is bigger

Step-by-step explanation:

because 6 is bigger and 5 is small than divide

Answer:

Well.

Step-by-step explanation:

The top point would be climax.

The beggining would be start.

And the end would be end.

Answer:

According to the graph I think that story would like like a serious story, like a true story ig-?

Answer:

Step-by-step explanation:

complex numbers , real numbers , rational numbers , natural numbers , whole numbers

Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

Answer:

\(16\sqrt{2}\)

Step-by-step explanation:

Add up all the sides to get the perimeter:

\(4\sqrt{2} + 4\sqrt{2} +8\sqrt{2} = 16\sqrt{2}\)

=======================================================

Work Shown:

To find the average price, we will add up the 9 values in column 2 to get

120+272+358+328+406+392+530+592+610 = 3,608

Then divide that total by 9 since there are 9 values we added up

We get the average to be (3,608)/9 = 400.888 which is approximate. This rounds to 400.89

Side note: It's a bit strange how your teacher mentions "charge in pounds" but then uses a dollar sign.

Step-by-step explanation:

To find the mean, you add all the numbers together then divide by the number of numbers.

Charge : 120+272+358+328+406+392+530+592+610=3608/9=400.888888 =400.89 dollars

The 95% CI for proportion of driver that do not wear seat belt is 0.255 < p < 0.405.

What is Confidence interval?

A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, however other levels, such 90% or 99%, are occasionally used when computing confidence intervals.

As given,

n = 150 = drivers

x = 100 = wear seat belts.

We have to find 95% confidence interval for proportion P that do not wear seat belt.

From 150 we have 100 wear seat belts

Not wear seat belt = 150 - 100

Not wear seat belt = 50

P = 50/150

P = 0.33

95% confidence interval for P is

CI = (P - zα/2√(P(1 - P)/n), P + zα/2√(P(1 - P)/n))

For 95% CI, zα/2 = 1.96

Substitute values,

CI = (0.33 - 1.96√(0.33(1 - 0.33)/150), 0.33 + 1.96√(0.33(1 - 0.33)/150))

CI = (0.33 - 0.075, 0.33 + 0.075)

CI = (0.255, 0.405)

Therefore 95% CI for proportion of driver that do not wear seat belt is 0.255 < p < 0.405.

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Answer:

3

Step-by-step explanation:

30 % as a fraction is 30/100

since the are doing 10 sections we must simplify 100 to 10 so

\(\frac{30}{100} =\frac{3}{10}\)

so this means 3 out of 10 of the sections would be labeled chocolate icecream

The count of the sections the class should label as "Chocolate Ice Cream" is 3.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}\)

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For the considered case, it is given that:

Probability of an student getting Chocolate Ice Cream for dessert at lunch =  30% = 0.3

The count of the sections the class should label as "Chocolate Ice Cream" should be such that spinner getting "Chocolate Ice Cream" as option should have the probability as 0.3

Let the count of the sections the class should label as "Chocolate Ice Cream"  be \(x\)

Then, as there are in total 10 sections in the spinner, and all sections are assumingly equally probable, thus, if the event E is:

E = event of getting "Chocolate Ice Cream" in the spinner ,

then as n(E) = \(x\) (as there are \(x\) sections with label "Chocolate Ice Cream")

and n(S) = total count of sections (size of sample space)  = 10

Thus, we get probability of event E as:

\(P(E) = \dfrac{n(E)}{n(S)} = \dfrac{x}{10}\)

This needs to be equal to 0.3, thus,

\(0.3 = \dfrac{x}{10}\\x = 3\)

Thus, the count of the sections the class should label as "Chocolate Ice Cream" is 3.

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Answer:

I think they both did reason correctly! Since they got different answers, we can conclude the initial plan was incorrect.

Step-by-step explanation:

      Both of their work looks to be correct. Since they both have correct solutions, we can conclude that the initial plan was incorrect and that an angle was recorded wrong.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

In this scenario, the appropriate inference procedure would be the two-sample t-test for the difference between means.

Based on the given information, you would use a "two-sample t-test for the difference between two means" to estimate the difference in the average amount of TV watched by high school and college students. This procedure is suitable because you have separate random samples from two distinct groups and you're comparing their means.

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Answer:

Step-by-step explanation:

If  the function   is transformed to obtain the function , then a transformation that affects the x-variable has taken place.

Recall that a transformation that adds t units to the variable "x" represent graphically the horizontal displacement of the original function,"t" units to the left.

Therefore, the correct answer is:

"The graph of his the graph of g horizontally shifted left 7 units."

which agrees with option "B" in your given list.

The density function of √u, where u is uniformly distributed on [0,1], is f(v) = 2√v for 0 ≤ v ≤ 1.

To find the density function of √u, where u is uniformly distributed on the interval [0,1], we can use the transformation method.

Let's denote the random variable √u as v = √u. We want to find the probability density function (PDF) of v.

First, we find the cumulative distribution function (CDF) of v:

F(v) = P(v ≤ x) = P(√u ≤ x) = P(u ≤ x²) = x², for 0 ≤ x ≤ 1.

Next, we differentiate the CDF to obtain the PDF of v:

\(\begin{equation}f(v) = \frac{d}{dv} F(v) = \frac{d}{dv} (x^2) = 2x, \quad 0 \leq x \leq 1\)

However, we need to express the PDF in terms of v, not x. Since v = √u, we can substitute x = √v into the PDF:

f(v) = 2√v, for 0 ≤ v ≤ 1.

Therefore, the density function of √u is f(v) = 2√v, for 0 ≤ v ≤ 1.

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Therefore,  Line charts are perfect for visualizing data that changes over time, showing the distinct values of each data point in a clear and concise manner.

A line chart emphasizes the distinct values of each data point. Line charts are the most widely used chart type, displaying trends over time. They are perfect for visualizing data that changes over time, such as stock prices or website traffic. These charts show the distinct value of each data point by connecting a line from one data point to the next, which represents a progression in time. The line chart emphasizes the values at each data point because it shows the data in a clear and concise manner. The chart helps to reveal trends, patterns, and changes in the data, making it easy to understand the information and draw conclusions. Explanation: A line chart emphasizes the distinct values of each data point

Therefore,  Line charts are perfect for visualizing data that changes over time, showing the distinct values of each data point in a clear and concise manner.

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Step 1: We need to first find the equation of the line in slope-intercept form by finding b, or the y-intercept.

\(-6 = 3(-5) + b\\\\-6 = -15 + b\\\\9 = b\)

Step 3: We now need to write the equation of the line in slope-intercept form.

\(y = 3x + 9\)

Step 3: Now we convert the above equation from slope-intercept form to standard form.

\(y = 3x + 9\\\\-3x + y = 9\\\\-3x + y - 9 = 0\)

Our equation in standard form is: B. -3x + y - 9 = 0.

Answer:

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest.

Step-by-step explanation:

Answer: -141 I think

Step-by-step explanation:

Answer:

7 = 84

Step-by-step explanation:

3 + 4 = 7

36 + 48 = 84

7 = 84

Hope this helps :)