3) Does the table show a function?

Answer:

∴ The greatest number that divides 210, 252 and 294 is 42.

Step-by-step explanation:

We have to find the LCM of the given rows 12, 15 and 40. (Taking Highest Powers). Therefore, least number of saplings that can be arranged in given rows are 120.

A line chart is the best chart to show trends over time. It shows trends and data variables clearly.

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.  

The points on the graph often represent the relationship between two or more things.

We can deduce that a line chart is the best chart to show trends over time as it shows trends and data variables clearly and also assists readers with making predictions for the future. However, for a data set comparison being useful, you must use the same scale on both axes.

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Answer:

C)  6

Step-by-step explanation:

use slope formula:

(-4 - 3) / (-1 - x) = 1

cross-multiply:

-7 = -1 - x

-6 = -x

6 = x

To find (the derivative of \( y \) with respect to \( x \)) from the given function \( y = \ln(x^2) + \ln(x+3) - \ln(2x+1) \), we can apply the rules of logarithmic differentiation.

First, we can rewrite the function using logarithmic properties:

\(\( y = \ln(x^2) + \ln(x+3) - \ln(2x+1) = \ln(x^2(x+3)) - \ln(2x+1) \).\)

Now, using the rules of logarithmic differentiation, we can differentiate \( y \) with respect to \( x \) as follows:

\( \frac{dy}{dx} = \frac{1}{x^2(x+3)} \cdot (2x(x+3)) - \frac{1}{2x+1} \).

Simplifying further:

\(\( \frac{dy}{dx} = \frac{2x(x+3)}{x^2(x+3)} - \frac{1}{2x+1} \).\( \frac{dy}{dx} = \frac{2x^2 + 6x}{x^2(x+3)} - \frac{1}{2x+1} \).Thus, \( \frac{dy}{dx} = \frac{2x^2 + 6x}{x^2(x+3)} - \frac{1}{2x+1} \) is the derivative of \( y \) with respect to \( x \)\) for the given function.

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Answer:

15 percent

Step-by-step explanation:

just look up 180 plus each percentage

A sequence is arithmetic sequence when the first differences are all the same non-zero number.

An arithmetic sequence is a set of integers where each term is created by multiplying the preceding term by a defined number. The common difference of the series, which is a constant value, is the same for all following pairs of terms.

As a result, a sequence can be said to be arithmetic if its first differences all contain the same non-zero value. For instance, the arithmetic sequence 3, 6, 9, 12, 15,... has a common difference of 3.

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Answer:

u = 2\(\sqrt{3}\)

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin60° = \(\frac{\sqrt{3} }{2}\) , then

sin60° = \(\frac{opposite}{hypotenuse}\) = \(\frac{u}{4}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2u = 4\(\sqrt{3}\) ( divide both sides by 2 )

u = 2\(\sqrt{3}\)

Answer:

A

Step-by-step explanation:

i stands for square root of negative 1. If you multiple i and square root of 23 you will end up with the original

The choice which defines the piecewise function shown in the graph is; Choice B.

For the line originating from the center and plotted towards the right (i.e Positive x-axis)

We can conclude that the line can be represented by the function; f(x) = -x/2 and slope = -1/2 where; x>= 0 due to the solid dot

For the line whose y-intercept is at point, (0, -2), and is plotted towards negative x; we have;

We can conclude the equation of the line can be represented by the function; f(x) = -x -2 where slope = -1, and domain; x < 0

Ultimately, the aggregate of both functions give s the required piecewise function as represented in Choice B.

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1.  (x+2)(x+3) can be factored into \((x+2)(x+3) = x^2 + 5x + 6.\)

2.  (x+3)(x+1) can be factored into (x+3)(x+1) = \(x^2 + 4x + 3.\)

3. (x+3)(x-1) can be factored into (x+3)(x-1) = \(x^2 + 2x - 3.\)

To factorize the expressions, we can use the distributive property of multiplication:

(x+2)(x+3) = x(x+3) + 2(x+3) = \(x^2 + 3x + 2x + 6 = x^2 + 5x + 6\)

Therefore, (x+2)(x+3) can be factored into \((x+2)(x+3) = x^2 + 5x + 6.\)

(x+3)(x+1) = x(x+1) + 3(x+1) =\(x^2 + x + 3x + 3 = x^2 + 4x + 3\)

Therefore, (x+3)(x+1) can be factored into (x+3)(x+1) = \(x^2 + 4x + 3.\)

(x+3)(x-1) = x(x-1) + 3(x-1) = \(x^2 - x + 3x - 3 = x^2 + 2x - 3\)

Therefore, (x+3)(x-1) can be factored into (x+3)(x-1) = \(x^2 + 2x - 3.\)

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Answer:

The solution to the system of equations be:

\(x=3,\:y=-1\)

Hece, option B is correct.

Step-by-step explanation:

Given the system of equations

\(\begin{bmatrix}x-3y=6\\ 2x+2y=4\end{bmatrix}\)

Multiply x − 3y = 6 by 2:      2x-6y=12

\(\begin{bmatrix}2x-6y=12\\ 2x+2y=4\end{bmatrix}\)

so

\(2x+2y=4\)

\(-\)

\(\underline{2x-6y=12}\)

\(8y=-8\)

so the system of equations becomes

\(\begin{bmatrix}2x-6y=12\\ 8y=-8\end{bmatrix}\)

Solve 8y = -8 for y

\(8y=-8\)

Divide both sides by 8

\(\frac{8y}{8}=\frac{-8}{8}\)

\(y=-1\)

\(\mathrm{For\:}2x-6y=12\mathrm{\:plug\:in\:}y=-1\)

\(2x-6\left(-1\right)=12\)

\(2x+6=12\)

subtract 6 from both sides

\(2x+6-6=12-6\)

\(2x=6\)

Divide both sides by 2

\(\frac{2x}{2}=\frac{6}{2}\)

\(x=3\)

Therefore, the solution to the system of equations be:

\(x=3,\:y=-1\)

Hence, option B is correct.

⚽ From Equation (i) we get :

⚽ Now, Substitute the equation (iii) in equation (ii) we get :

→ 2(6 + 3y) + 2y = 4

→ 12 + 6y + 2y = 4

→ 8y = 4 - 12

→ 8y = -8

→ y = -8 ÷ 8

→ y = -1

⚽ Now Substituting value of y = -1 in equation (iii) we get :

→ x = 6 + 3y

→ x = 6 + 3(-1)

→ x = 6 + (-3)

→ x = 6 - 3

→ x = 3

For a linear function the ratio of the difference of x and y coordinates are equal. The functions that are linear are represented by options A, C D and E.

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

The given options are explained one by one as follows,

(A) y + 4 = 2x

The given equation can be written as,

-2x + y + 4 = 0

Since it can be written in the general form ax + by + c = 0. It represents a linear function.

(B) y = 3 - x²

Since it cannot be written in the general form ax + by + c = 0. It does not represent a linear function.

(C) In the given table the difference ratio of different values of x and y are as follows,

(0 - 1) / (-1 - (-0.5)) = 2

And, (2 - 1) / (0 - (-0.5)) = 2

Since (0 - 1) / (-1 - (-0.5)) = (2 - 1) / (0 - (-0.5)), the given table represents a linear function.

(D)  In the given table the difference ratio of different values of x and y are as follows,

(2.5 - 2.75) / (-2 - (-1)) = 0.25

And, (2.75 - 3) / (-1 - 0) = 0.25

Since (2.5 - 2.75) / (-2 - (-1)) = (2.75 - 3) / (-1 - 0), the given table represents a linear function.

(E) The graph of the given function is a straight line. So, it represents a linear function.

Hence, the linear functions for the given problem are option A, C, D and E.

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Answer:

look at explanation

Step-by-step explanation:

first you need to find what -6/13 is and once you do that you fill everything in pretty much

Answer:

In general, the dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend.

Step-by-step explanation:

The dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend. This is because the dividend income is calculated by multiplying the number of shares that an investor owns by the amount of the dividend per share.

For example, if an investor owns W = 100 shares of XYZ stock and XYZ distributes a $Y = 5 per share dividend, then the investor's dividend income will be 100 * 5 = 500 dollars.

In general, the dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend.

Division is the antithesis of multiplication. When you divide twelve into three equal groups, you get four in each group when you multiply three groups of four to create twelve.

The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups. The basic objective of splitting is to determine how many equal groups are created or how many people are in each group after a fair distribution.

The phrase to use is "divide in half," not "divide by half," when discussing splitting something into two equal portions. In mathematics, multiplying by two is equivalent to dividing by half. Additionally, see "multiply by two."

The French term "douzaine," which denotes a group of 12, is where the word "dozen" originates.

2 dozen apples equals 24, and 24 divided by 8 is 3.

Therefore, the answer is 3.

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Answer:

slope is 0.6

Step-by-step explanation:

y1-y2     2-11

x1-x2     -5-10

equals

-9 over 15

simplify

3/5, decimal form is 0.6

hoped this helped

Answer:

The required equation is:

Step-by-step explanation:

We know that

distance = rate × t

Given that a car moving at a constant speed passed a timing device at t=0.

In other words, at t = 0 second, d = 0 ft.

After 7 ​seconds, the car has traveled 567 ft.

In other words, at t = 7 seconds, d = 567 ft

Thus, there are two points

(0, 0)

(7, 567)

Finding the slope between (0, 0) and (7, 567)

Using the formula

Slope = Rate of change = [y₂-y₁] / [x₂-x₁]

                                        = [567 - 0] / [7-0]

                                        = 567 / 7

                                        = 81 ft/second

Given that the car is moving at constant speed. So, we dont't have any other factor or term to consider

Thus, the required equation is:

distance = rate × t

d = 81 × t

d = 81t

or

f(t) = 81t

VERIFICATION

Given the equation

d = 81 × t

Put t = 0 to find the disatance in 1 sec

d = 81 × (0) = 0 ft

Put t = 7 to find the distance in 7 seconds

d = 81 × (7) = 567 ft

Answer:

Answer: 350

Step-by-step explanation:

Explanation:

a = adult tickets

s = student tickets

║ a + s = 754

║s = a + 54

Plug s = a + 54 into a + s = 754

a + (a + 54) = 754

a + a + 54 = 754

2a + 54 = 754

2a = 754 - 54

2a = 700

a = 350

a. The chart did not maintain consistent scaling

b. The graph is not the appropriate graph type to display such data

c.  The display had inaccurate or distorted visual representations

When the actual data may not support it, changing the scales on the axes might give the appearance of big changes or differences.

The visual effect of data can be exaggerated or minimized, for instance, by adopting a non-linear scale or deleting specific sections of the axis.

So it important to Choose appropriate graph type that best represents the data and the relationship you want to convey.

It also advisable to make use of  clear and accurate labeling with descriptive titles and units of measurement.

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The answer to this question is that the number of automorphisms of g, where g = a × a and a is cyclic of order p, is equal to 2.

An automorphism is a bijective homomorphism from a group to itself. In other words, an automorphism preserves the group structure and the bijection property. For g = a × a, we can define an automorphism f(g) as f(g) = a^-1ga.

To show that there are only two automorphisms for g, we can consider the possible values of f(a) for the automorphism f(g). Since f(g) must preserve the group structure, f(a) must be an element of the cyclic group generated by a. Therefore, f(a) can only be a^k, where k is some integer between 0 and p-1.

However, we also know that f(g) = a^-1ga. So if f(a) = a^k, then f(g) = a^-1(a^ka)a = a^(k+1). Therefore, there are only two possible automorphisms for g: the identity automorphism (which maps a to itself) and the automorphism which maps a to a^-1.

In summary, the number of automorphisms of g = a × a, where a is cyclic of order p, is equal to 2: the identity automorphism and the automorphism which maps a to a^-1.

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Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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Answer:

You can learn math by

Step-by-step explanation:

practicing and remember not to overwork yourself

Answer: m<F = 134
EF = 18in

Step-by-step explanation:
Since both angles FEG and FGE are equal, we could make out that lines EF and FG are equal measures making an isosceles triangle. Therefore we just add up both 23 to get 46 and subtract it by 180 getting 134

Answer:

The answer is the third one

Step-by-step explanation:

just multiply each of the numbers in the matrix by

\( \frac{1}{2} \)

Answer:

\( = - 3\)

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I have heart and 5 star

Answer:

A) 210 B) 0.18

Step-by-step explanation:

got it right

Learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called Adaptive learning

Adaptive learning platforms utilize algorithms to tailor the learning experience for individual students based on their needs, abilities, and learning progress.

By analyzing data and feedback, adaptive learning systems can dynamically adjust the content, pace, and difficulty level to optimize learning efficiency and personalize the educational journey for each student.

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The values of x for which the perimeter of the rectangle is less than 108 are x = 20, x = 21, x = 22, x = 23, x = 24, and x = 25.

The perimeter of a rectangle is given by the formula P = 2l + 2w, where 'l' is the length of the rectangle and 'w' is the width of the rectangle. If the perimeter of the rectangle is less than 108, we can write the inequality:

2l + 2w < 108

We can solve this inequality by first dividing both sides by 2:

l + w < 54

Then, we can solve for l and w by considering the possible values they could take on. For example, if l = 25 and w = 20, then the inequality is satisfied because 25 + 20 < 54.

However, if l = 30 and w = 30, then the inequality is not satisfied because 30 + 30 = 60, which is greater than 54.

In general, we can find the values of l and w that satisfy the inequality by trying different combinations of values and seeing if the inequality is satisfied. For example, if l = 20 and w = 20, then the inequality is satisfied because 20 + 20 = 40, which is less than 54. Similarly, if l = 25 and w = 20, then the inequality is satisfied because 25 + 20 = 45, which is less than 54.

To find all the possible values of l and w that satisfy the inequality, we can make a table of values and see which combinations work:

l w l + w

20 + 20 = 40 < 54 (inequality is satisfied)

25 + 20 = 45 < 54 (inequality is satisfied)

30 + 20 = 50 > 54 (inequality is not satisfied)

35 + 20 = 55 > 54 (inequality is not satisfied)

From this table, we can see that the values of l and w that satisfy the inequality are between 20 and 30. Therefore, the values of x for which the perimeter of the rectangle is less than 108 are x = 20, x = 21, x = 22, x = 23, x = 24, and x = 25.

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Answer:

...... B is the answer......