I think the answer is -24 but im not too sure. HELP ME

Answer:  As Rome expanded, people lost employment because from the new territories did most of the work. Rome required its conquered lands to provide

Step-by-step explanation:

The coordinates of the point N dividing the line LM, with L(-3, 1) and N(4, 9) in the ratio 2:3, found using the internal section formula is \(\left(-\frac{1}{5} ,\, \frac{21}{5} \right)\)

A ratio indicates the number of times one quantity a is contained in another quantity b.

The coordinates of the point L = (-3, 1), the coordinates of the point M = (4, 9)

The ratio in which the point N divides LM = 2:3

The specified ratio of the sides are;

\(\dfrac{LN}{MN} = \dfrac{2}{3}\)

The coordinates of the points N is found using the internal section  formula as follows;

\(C(x, y) = \left(\frac{m\times x_2 + n\times x_1}{m+n} , \,\frac{m\times y_2 + n\times y_1}{m+n} \right)\)

Where;

(x₁, y₂), and (x₂, y₂) are the endpoints of the line

m:n is the ratio the point C divides the line

Which indicates;

\(N(x, y) = \left(\frac{2\times 4 + 3\times (-3)}{2+3} , \,\frac{2\times 9 + 3\times 1}{2+3} \right) = \left(-\frac{1}{5} ,\, \frac{21}{5} \right)\)

Learn more about the internal section  formula here:

https://brainly.com/question/17218155

#SPJ1

The first five terms of the sequence will be 28, 38, 48, 58 and 68.

An arithmetic sequence is an ordered set of numbers that have a common difference between each consecutive term. For example in the arithmetic sequence 3, 9, 15, 21, 27, the common difference is 6. An arithmetic sequence can be known as an arithmetic progression.

It should be noted that the first term is 28 and the common difference is 10.

Second term = 28 + 10 = 38

Third term = 38 + 10 = 48

Fourth term = 38 + 10 = 58

Fifth term = 58 + 10 = 68

Hence, the first five terms of the sequence will be 28, 38, 48, 58 and 68.

Learn more about arithmetic sequence on:

brainly.com/question/6561461

#SPJ1

The number of people who prefer eggs is 35.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent. A ratio might be formatted as a Part to Part or Part to Whole comparison. A Part to Part comparison looks at two individual quantities within a ratio of greater than two numbers, such as the number of dogs to the number of cats in a poll of pet type in an animal clinic. A Part to Whole comparison measures the number of one quantity against the total, such as the number of dogs to the total number of pets in the clinic.

Let the number of people who prefer eggs be x.

21 people said they prefer oatmeal.

The ratio of people who prefer oatmeal to those who prefer eggs is 3 to 5.

∴ \(\frac{21}{x} = \frac{3}{5} \\x = \frac{21*5}{3}\\ x = \frac{105}{3} \\x = 35\)

Thus, the number of people who prefer eggs is 35.

To learn more about ratios. visit brainly.com/question/13419413

#SPJ4

The general solution of f(x) is: \(f(x) = A + 1/2 x\)

We are given that:

\(f(x) H f(x) = x^{-3}\)

where H denotes the Hilbert transform.

To find \(f^{40} (x)\), we first need to find the general solution of f(x).

We can start by applying the Hilbert transform to both sides of the equation:

\(H[f(x) H f(x)] = H[x^{-3} ]\)

Using the properties of the Hilbert transform, we can simplify the left-hand side:

\(f(x) = -H^2[f(x)] - x^{-3}\)

where H^2[f(x)] denotes the double Hilbert transform of f(x).

Next, we can apply the Hilbert transform again to both sides:

\(H[f(x)] = -H^3[f(x)] - H[x^{-3} ]\)

Using the fact that\(H^2[f(x)] = -f(x)\), we can simplify the left-hand side:

\(-H[f(x)] = -H^3[f(x)] - H[x^{-3} ]\)

Multiplying both sides by -1, we get:

\(H[f(x)] = H^3[f(x)] + H[x^{-3} ]\)

Using the fact that \(H^3[f(x)] = -H[f(x)],\) we can simplify the equation further:

\(2H[f(x)] = H[x^{-3} ]\)

Applying the Hilbert transform once more, we get:

\(f(x) = -1/2 H^2[x^{-3} ]\)

Using the fact that \(H^2[x^{-3} ] = -x\), we can simplify the right-hand side:

\(f(x) = 1/2 x\)

Now, we can find f^(40)(x) by differentiating f(x) 40 times:

\(f(x) = 1/2 x\\f'(x) = 1/2\\f''(x) = 0\\f'''(x) = 0\\...\)

\(f^{40} (x) = 0\)

Therefore, the general solution of f(x) is:

\(f(x) = A + 1/2 x\)

where A is a constant.

And, the 40th derivative of f(x) is zero.

It's important to check that the general solution satisfies the original equation. In this instance, we can confirm:

\(f(x) H f(x) = (A + 1/2 x) H (A + 1/2 x) = x^{-3}\)

which is indeed satisfied if we set A = 0.

for such more question on derivative

https://brainly.com/question/23819325

#SPJ4

Answer:

90°, that is all the other angles so it would be 40° and 50°

Step-by-step explanation:

I hope this helps you :)

Answer:

40 degrees

Step-by-step explanation:

the three angles of a triangle must add to 180 and since it is an isosceles two angles must be equal therefore 180-100=80 to be divided by 2.

The measure of the smallest angle is 30° in an octagon when the interior angles are in the ratio 1:2:3:4:5:6:7:8.

The sum of the interior angles of an octagon is (8 - 2) x 180° = 1080°.

Let x be the minimum angle measure and write down the other angle equations concerning x using the ratios given.

2x, 3x, 4x, 5x, 6x, 7x, 8x.

by adding all the angles we get,

x + 2x + 3x + 4x + 5x + 6x + 7x + 8x = 36x.

Since the sum of the interior angles of an octagon is 1080°,

Simplifying the equation:

36x = 1080

x = 30

The minimum angular dimension is x = 30°. 

learn more about interior angles of an octagon

brainly.com/question/30498075

#SPJ4

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

\(\\ 1. (3x ^{2} + 2xy + 7) - (6x ^{2} - 4xy + 3) \\ = 3x ^{2} + 2xy + 7 - 6x ^{2} + 4xy - 3 \\ = 3x ^{2} - {6x}^{2} + 2xy + 4xy + 7 - 3 \\ = { - 3x}^{2} + 6xy + 4 \\ 2. \: {9x}^{2} - 2x + 3 - ( {4x}^{2} + 7x - 5) \\ = 9x ^{2} - 2x + 3 - 4x ^{2} - 7x + 5 \\ = {9x}^{2} - {4x}^{2} - 2x - 7x + 3 + 5 \\ = {5x}^{2} - 9x + 8 \\ 3. \: {x}^{2} - 5x + 6 \\ = {x}^{2} - (3 + 2)x + 6 \\ = {x}^{2} - 3x - 2x + 6 \\ = x(x - 3) - 2(x - 3) \\ = (x - 3)(x - 2) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)

Answer with step by step explanation

\((1)(3 {x}^{2} + 2xy + 7) - (6 {x}^{2} - 4xy + 3) \\ 3 {x}^{2} + 2xy + 7 - 6 {x}^{2} + 4xy - 3 \\ = - 3 {x}^{2} + 6xy + 4\)

\((2)9 {x}^{2} - 2x + 3 - (4 {x}^{2} + 7x - 5) \\ 9 {x}^{2} - 2x + 3 - 4 {x}^{2} - 7x + 5 \\ = 5 {x}^{2} - 9x + 8\)

\((3) {x}^{2} - 5x + 6 \\ {x}^{2} - 3x - 2x + 6 \\ x(x - 3) - 2(x - 3) \\ (x - 2)(x - 3)\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

learn more about Chi-Square here: brainly.com/question/24976455

#SPJ11

Answer: each triangle drawing is 180 degrees total, 2 triangles is 360 etc.

Step-by-step explanation:

An investigation whether smokers are more likely than non smokers to get lung cancer by grouping the class students into two groups is an example of experimental study.

Experimental Study: An experimental study is a study where the researcher has control over most of the variables. In contrast an observational study is a study where the researcher purely observes subject without controlling any variables. We have to investigate whether smokers are more likely than non-smokers to get lung cancer. Here the study is experimental study because the researcher/ we are trying to investigate the students of smokers and non-smokers. So, here control the members of the population that is students by randomly selecting them and dividing them in two groups (that is half -half) and provide one group cigarettes and not provide the other one. So, the above example of an experimental study. The following difficulties are come in study :

Hence, the given problem is an example of experimental study.

For more information about experimental study, visit :

https://brainly.com/question/14393640

#SPJ4

The number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.

In a farm, there is food to feed 300 rabbits for 60 days.

Let x be the number of rabbits that must be sold if they want to be fed for 15 more days.

From the given data, we have the following equation:

300 * 60 = (300 - x) * 75

The equation represents the amount of food for 300 rabbits that can last 60 days is equal to the amount of food for 300 - x rabbits that can last 75 days.

Solving for x, we get:

x = 150 rabbits

Hence, the number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.

For more such questions on rabbits, click on:

https://brainly.com/question/378897

#SPJ8

Answer:

Step-by-step explanation:

Total pieces of salad in the circle:

Orange pieces are 6 out of 24:

Total pieces

Orange fraction

Answer:

Where's the information

Step-by-step explanation:

Answer:

Step-by-step explanation:

right triangle.

∠1 = 180 - 90 - 40

∠1 = 50°

For this expression,a=15,b=7 and c=4

Good luck on your assignment

Answer:

Answer is f(3)

Step-by-step explanation:

i did test

Answer

5.33 units

Step-by-step explanation:

uh kakis

Answer:

converges

Step-by-step explanation:

The given series is:

Σn=0 to infinity (-1)^n + / √(1n + 8)

To determine if the series converges or diverges, we can use the comparison test, which involves comparing the given series to a known convergent or divergent series.

Let's compare the given series to a known convergent series. We know that the series Σ1/n^p converges if p > 1. In this case, the series Σ1/n^(1/2) is known to converge since (1/2) > 1.

Let's rewrite the given series in the form Σ1/n^p to compare:

Σn=0 to infinity (-1)^n + / √(1n + 8)

= Σn=0 to infinity (-1)^n + / (1n + 8)^(1/2)

Now we can use the comparison test by comparing the given series to the convergent series Σ1/n^(1/2). Since the terms of the given series are positive (taking the absolute value of (-1)^n), we can ignore the negative sign.

|(-1)^n + / (1n + 8)^(1/2)| ≤ 1 / (1n + 8)^(1/2) (taking absolute values)

As n approaches infinity, 1/(1n + 8)^(1/2) approaches 0, and since 0 is less than 1, the given series is also smaller than the convergent series Σ1/n^(1/2).

Therefore, by the comparison test, the given series converges since it is smaller than the convergent series Σ1/n^(1/2). So the correct answer is "converges".

Let L be a context-free language. Then there exists an n≥1 such that for any string w∈L with ∣w∣≥n, there exist strings x,y,z,u,v satisfying the conditions: i. ∣yzu∣≤n, ii. ∣y∣+∣u∣>0, and iii. xyizuiv∈L for all i≥0. Using this, we can show that the language L={ai3∣i≥2} is not context-free.

The Pumping Lemma is a useful tool to prove that certain languages are not context-free. It states that for any context-free language L, there exists a pumping length n such that any string in L with length at least n can be divided into five parts: x, y, z, u, and v. These parts satisfy the conditions mentioned above.

Now, let's apply the Pumping Lemma to the language L={ai3∣i≥2}. We assume that L is context-free. Therefore, there exists a pumping length n such that any string w∈L with ∣w∣≥n can be divided into x, y, z, u, and v satisfying the conditions.

Considering the properties of L, we know that every string in L has the form a^n3, where n is greater than or equal to 2. Now, if we choose a string w=a^n3 from L, we can divide it into x, y, z, u, and v as per the Pumping Lemma.

Next, we choose i=0, which allows us to pump down the number of 'a's in the string. However, this contradicts the condition that xyizuiv∈L for all i≥0, as pumping down the 'a's would result in a string that does not belong to L.

Hence, we have reached a contradiction, which proves that the language L={ai3∣i≥2} is not context-free.

Learn more about: context-free language

brainly.com/question/29762238

#SPJ11

Answer:

7-1x^2

Step-by-step explanation:

In conclusion, a quadratic function that satisfies the conditions of having an axis of symmetry at x=-1, a maximum value of 4, and passing through the point (-16,-41) is y= (-1/9)(x+1)²+4. By using the general form of a quadratic function

A quadratic function can be written in the form y = a(x-h)² + k, where (h,k) is the vertex of the parabola and a determines the shape and direction of the opening of the parabola.

To satisfy the given conditions, we know that the vertex of the parabola must lie on the axis of symmetry x = -1, and that the maximum value of the function is 4.

Using this information, we can write the quadratic function as y = a(x+1)² + 4. To determine the value of a, we can use the fact that the function passes through the point (-16,-41).

Substituting these values into the equation, we get -41 = a(-16+1)² + 4. Solving for a, we get a = -1/9.

Therefore, the quadratic function that satisfies the given conditions is y = (-1/9)(x+1)² + 4.



To find a quadratic function that satisfies the conditions of having an axis of symmetry at x=-1, a maximum value of 4, and passing through the point (-16,-41), we can use the general form y=a(x-h)²+k. Since the vertex of the parabola must lie on the axis of symmetry, we can set h=-1. The maximum value of the function occurs at the vertex, so we know k=4. By substituting the point (-16,-41) into the equation, we can solve for the value of a and obtain a=-1/9. Therefore, the quadratic function is y= (-1/9)(x+1))²+4.



In conclusion, a quadratic function that satisfies the conditions of having an axis of symmetry at x=-1, a maximum value of 4, and passing through the point (-16,-41) is y= (-1/9)(x+1)²+4. By using the general form of a quadratic function and the information given, we can determine the vertex and value of a, which allows us to write the equation of the parabola in standard form.

To know more about quadratic function visit:

brainly.com/question/18958913

#SPJ11

Answer:

its b 34

Step-by-step explanation:

Answer:

the actual answer is 37. I have the assignement and 37 was correct.

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

The pattern goes +5 , -2

From 7 you add 5, and than from 12 you minus 2. If you keep this up you get the following numbers.

7,12,10,15,13,18,16,21,19,24,22,27,25,30...ect

21 is the 8th term in the patterns so thats your answer.

The eighth term in the given number pattern is 21. This is obtained by the logic, of adding 5 and subtracting 2.

These keep a relationship between a series of numbers. That relationship is given by logic.

Some of the examples are like Even number pattern, Odd number pattern, Fibonacci series, etc.

Given that the number pattern is 7,12,10,15,13....

In this pattern 7 is the first term

So, the logic is adding 5 and subtracting 2

7+5=12 (2nd term)

12-2=10 (third term)

10+5=15 (fourth term)

15-2=13 (fifth term)

13+5=18 (sixth term)

18-2=16 (seventh term)

16+5=21 (eighth term)

Therefore, the eighth term is 21.

Learn more about number patterns here:

https://brainly.com/question/86334

#SPJ2

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

2.4x + 4.6x = 28

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here we see that 28 does indeed equal 28.

∴ x = 4 is a solution of the equation.

The value of the record high temperature is 114°F

From the question, we have the following parameters that can be used in our computation:

This means that

High - Low = 109

Substitute the known values in the above equation, so, we have the following representation

High - 5 = 109

Add 5 to both sides

High = 114

Hence, the record high temperature is 114°F

Read more about equations at

https://brainly.com/question/18831322

#SPJ1

The point F as described in the task content is at point; 0.6 on the number line.

Since it follows from.tge task content that; point D is at -3, and point E Is at 6, it follows that the length of segment, DE is; |-3-6| = 9.

Consequently, since the ratio of Df to FE ls 2:3

It follows that point F is at -3 + (2/5) × 9.

Point F is therefore at 0.6 on the number line.

Read more on line division by ratio;

https://brainly.com/question/13930834

#SPJ1

The number of plants Ethan has are 5.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of plants Ethan has.

Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.

If he starts with 32 ounces of water and ends up with 14.5 ounces

Total of 32 - 14.5 = 17.5 ounces of water.

As given the amount of water used is equal to the amount of water per plant times the number of plants:

3.5x = 17.5

Divide both sides by 3.5

x=5

Hence, , Ethan has 5 plants.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ9