[6 marks] Write R code that produces the following plot
layout:
6. [6 marks] Write R code that produces the following plot layout: 2 5 1 3 Created by Paint S The red-coloured box (6) is a square with each side measuring two centimeters (you only need to reproduce

Answer:the person below is correct

Step-by-step explanation:

The y-intercept of the graph is located at (0, 0). So, the value of c is 0.

What is graph?

A graph is a visual representation of data that displays the relationship between two or more variables. It consists of a set of points, called vertices or nodes, which are connected by lines or curves, called edges or arcs. The vertices represent the variables, while the edges represent the relationship between them.

To find the y-intercept of the graph of y = -7x + 140y, we need to substitute x = 0 into the equation and solve for y. This will give us the y-coordinate of the point where the graph intersects the y-axis.

Substituting x = 0, we get:

y = -7(0) + 140y

y = 140y

Simplifying the equation, we get:

139y = 0

Dividing both sides by 139, we get:

y = 0

Therefore, the y-intercept of the graph is located at (0, 0). So, the value of c is 0.

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Given :

⊕   f(x) = 2x + 1

⊕   g(x) = 5x + 4

⊕   m(x) = f(x) - g(x)

⇒   m(x) = (2x + 1) - (5x + 4)

⇒   m(x) = 2x + 1 - 5x - 4

⇒   m(x) = -3x - 3

Answer : C

We have the equation:

We can see that there is a differnce of squares:

And then we can rewite the difference of squares as:

And this is equal to 0:

Now, there are two possibilities:

Then, we need to solve this two equatiions:

The two solutions for the equation are:

The decimal number 4.647 combines the whole number 4 with the fractional part 0.647, representing a value slightly greater than 4 and less than 5.

In mathematics, whole numbers refer to a set of numbers that includes all the natural numbers (positive integers) along with zero. Whole numbers are non-negative and do not include fractions, decimals, or negative numbers.

The set of whole numbers is denoted by the symbol W or ℕ₀, and it can be represented as:

W = {0, 1, 2, 3, 4, 5, ...}

Each number in the set of whole numbers is an individual element. Here are some important properties of whole numbers:

Non-Negative: Whole numbers are non-negative, meaning they are greater than or equal to zero. Negative numbers are not included in the set of whole numbers.

Natural Numbers: Whole numbers include all the natural numbers (positive integers). The set of natural numbers is a subset of the set of whole numbers.

Addition and Multiplication: Whole numbers can be added and multiplied together to obtain other whole numbers. The sum and product of two whole numbers will always be a whole number.

To write the decimal number for "four and six hundred forty-seven then thousandths," you would write it as 4.647.

To break it down, the whole number part is 4, indicating four units. The decimal part is 0.647.

In the decimal system, the digits to the right of the decimal point represent fractional parts of a whole.

In this case, the digit 6 represents six tenths, 4 represents four hundredths, and 7 represents seven thousandths.

So, the decimal number 4.647 combines the whole number 4 with the fractional part 0.647, representing a value slightly greater than 4 and less than 5.

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Step-by-step explanation:

First find how many plants Samantha can plant in half an hour. To figure that out do 12 divided by 3 because in 1.5 hours she can plant 12 plants.

12÷3=4

Samantha can plant 4 plants in half an hour. Since 2.5 hours in 1 more hour than 1.5 hours multiply 4 by 2 to get the total amount she can plant in one hour.

4 x 2 = 8

Samantha can plant 8 plants in an hour. Now add 8 to 12 because 12 plants is 1.5 hours and 8 plants is 1 hour and 1.5 + 1 = 2.5 hours.

8 + 12 = 20.

Samantha can plant 20 plants in 2.5 hours.

Answer:

ctrl + H to go to history and delete the stuff there

or private browsing

ideally you use a vpn like Proton vpn AND use private browsing to hide history

Answer:

just dont know...

Step-by-step explanation:

To find the expected value of the product xz, we can use the law of total expectation (also known as the law of iterated expectations):

E(xz) = E[E(xz|X)]

where E(xz|X) is the conditional expectation of xz given X = x, which we can find using the formula:

E(xz|X = x) = x * E(z|X = x)

where E(z|X = x) is the conditional expectation of z given X = x, which we can find using the given function:

E(z|X = x) = ax - bx^2

Substituting this into the formula for the conditional expectation of xz, we get:

E(xz|X = x) = x * (ax - bx^2) = ax^2 - bx^3

Now, we can substitute this back into the law of total expectation to get:

E(xz) = E[E(xz|X)] = E[ax^2 - bx^3]

where the inner expectation is taken over the distribution of X, and the outer expectation is taken over the resulting values of the inner expectation.

Since X is a discrete-valued random variable, we can find E(xz) by summing the values of ax^2 - bx^3 weighted by their probabilities:

E(xz) = Σx (ax^2 - bx^3) P(X = x)

where the sum is taken over all possible values of X.

This gives us the expected value of the product xz in terms of the constants a and b and the probability distribution of X.

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Answer:No

Step-by-step explanation:

It does not

Answer:

No

Step-by-step explanation:

given 3 sides of a triangle

using the converse of Pythagoras' identity

if the square of the longest side is equal to the sum of the squares of the other 2 sides, then the triangle is right.

longest side = 35 and 35² = 1225 , then

15² + 15² = 225 + 225 = 450

since 1225 ≠ 450 then the 3 sides do not form a right triangle.

The passengers selected for the in-flight survey in this scenario can be best referred to as a stratified random sample.

In stratified random sampling, the population is divided into smaller, non-overlapping groups, called strata, which share similar characteristics. In this case, the strata are the 40 flights selected by Northwest Airlines. From each of these strata, a random sample of passengers is chosen, which in this case, is a group of ten passengers from each flight.

This method ensures that each flight's passengers are represented in the survey, allowing for better generalizability of the results. By selecting passengers randomly within each stratum, the survey helps minimize selection bias and ensures that the sample reflects the diversity of the overall population of passengers. The stratified random sampling approach is especially useful when studying a large and diverse population, as it provides a more accurate representation of the population's characteristics compared to simple random sampling.

In summary, the passengers participating in the in-flight survey are best referred to as a stratified random sample because they are chosen from 40 randomly selected flights, with ten passengers randomly selected within each flight. This sampling approach ensures better representation of the overall population and helps minimize selection bias in the survey results.

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To find the 13th term of the geometric sequence 7, -21, 63, ..., we need to determine the common ratio of the sequence and then calculate the 13th term using the formula for the nth term of a geometric sequence.

In a geometric sequence, each term is obtained by multiplying the previous term by a constant value called the common ratio. To find the common ratio, we can divide any term by its preceding term. In this sequence, dividing any term by its preceding term gives us -3. Therefore, the common ratio is -3.

The formula for the nth term of a geometric sequence is given by:

an = a1 * r^(n-1),

where an is the nth term, a1 is the first term, r is the common ratio, and n is the position of the term in the sequence.

Substituting the given values into the formula, we have:

a13 = 7 * (-3)^(13-1) = 7 * (-3)^12.

Calculating this expression, we find that the 13th term of the geometric sequence is -3,834,147.

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The value of opposite side of angle θ would be,

⇒ EF

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that,

A right triangle EFD is shown in figure.

And, At angle E, right angle is shown.

We know that;

The Opposite side of a angle is called perpendicular side.

Hence, The value of opposite side of angle θ would be,

⇒ EF

Thus, Option A is true.

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The number of pages that are in the book is 1 31/45 pages.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, Tyler reads 2/15 pages on Monday 1/3 on Tuesday and 2/9 on Wednesday and 3/4 on thursday .and has 14 pages left on friday how many pages are in the book.

The fraction for pages will be:

= 2/15 + 2/9 + 1/3 + 3/4 + 1/4

= 2/15 + 5/9 + 1

= 6 / 45 + 25/45 + 1.

= 1 31/45

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Complete question

tyler reades 2/15 pages on monday 1/3 on tuesday and 2/9 on wendsday and 3/4 on thursday .and has 1/4 pages left on friday how many pages are in the book

The number of each type of ticket is sold is D. 90 adult tickets and 30 children's tickets

From the information given, an adult ticket for a magic show costs $18. A children's ticket for the magic show costs $12.

The number of adult tickets sold is 3 times the number of children's tickets sold. A total of $1980 is taken in for ticket sales.

Let the number of children tickets = x

Number of adults ticket = 3x

Therefore, this will be illustrated as:

18(3x) + 12(x) = 1980

54x + 12x = 1980

66x = 1980

Divide

x = 1980 / 66

x = 30.

Children ticket = 30

Adult tickets = 30 × 3 = 90

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The scale factor of dilation from AB to EF is 0.25

The given parameters are:

From the above parameters, side lengths AB and EF are corresponding sides

This means that:

The scale factor of dilation (k) is

k = AB/EF

So, we have

k = 3/12

Evaluate

k = 0.25

Hence, the scale factor of dilation from AB to EF is 0.25

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All options are true except option iii)

Given function is f(x) which is defined for all real numbers.

What is a critical point? A critical point of a function is a point where the derivative of the function equals zero or fails to exist. For a given function f(x), select the true statements:

i) If f(x) is continuous on (a,b), then f(x) attains an absolute maximum value f(c) and an absolute minimum value f(d) for some numbers c and d in (a,b).

ii) If f(x) has a critical point at x=c, then f'(c)=0.

iii) If f(x) has a local minimum value at x=c, then f'(c)=0.

iv) If f'(c)=0, then f(x) has a local maximum or minimum at x=c.

v) If f'(c) is undefined, then x=c is a critical point of f(x). From the above all options, all options are true except option iii). Option iii is incorrect because if f(x) has a local minimum or maximum value, then f'(c)=0 is not necessary. The necessary condition is f'(c)=0 but the converse is not true.

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Відповідь B, вибачте, якщо я помиляюся

Answer: x-15=0 is x-15

x-4=0 is x=4

Hope this helps :)

Step-by-step explanation:

A continuous function is a function where small changes in the input result in small changes in the output, with no abrupt jumps or breaks in the function's graph.

Since f(x,y) is independent of x, we can write it as f(x,y) = g(y). We are given that the integral of g(x) from 0.3 to 10 is 1, so we can write:

∫0.3^10 g(x) dx = 1

Using this information, we can find g(y) by integrating g(x) with respect to x:

g(y) = ∫0.3^10 g(x) dx / ∫0^10 dx
g(y) = 1 / 9.7

Now, we can find f(x,y) by substituting g(y) into f(x,y) = g(y):

f(x,y) = g(y) = 1 / 9.7

We need to find the integral of f(x,y) over the rectangle R, which is:

∫0^3 ∫0^10 f(x,y) dy dx
∫0^3 ∫0^10 1 / 9.7 dy dx
(1 / 9.7) ∫0^3 ∫0^10 dy dx
(1 / 9.7) * 3 * 10
= 3.0928

Therefore, the value of the integral of f(x,y) over the rectangle R is 3.0928.

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Answer:

13.5 cm^2

9*3 = 27

27/2=13.5

2nd one, x^2 + 8x + 4

add 2x^2-x^2, 6x+2x, -3+7

Answer:

12

Step-by-step explanation:

1 - 1/4 = 3/4 (remaining animals which are cats and ferrets)

1 - 8/9 = 1/9 (means 1/9 of the remaining animals are ferrets)

1/9 x 3/4 = 1/12 (means 1/12 of the animals are ferrets)

1/12 x 144 = 12 ferrets

Answer:

84°

Step-by-step explanation:

since the opposite side looks identical to the first angle, the second would be the same degrees.

the measure of the indicated angle is 84°

Because they are alternate angles

Answer:

Step-by-step explanation:

1. 1/40 + 1/x

2. 1/32 = 1/40 +1/x

3. $8 per hour

4. about 5.5 hours

5. 1/38 + 1/62 = t/x

6.

1. 16.7

2. 22.2

3. 26.2

4. 29.2

nice pfp