Sooo my math teacher who’s a pain in the behind was the only one gave us homework while we’re out for and extended 1 day so if you would please help me bc I have to go back and turn this in tomorrow, please and thank you :/ (just 8-16)

3+(5+4)(8-6)

3+(9)(2)

3+18

21

The only perfect squares between 150 and 250 that satisfy this condition are 169, 196, and 225, as we found earlier. Therefore, these are the only possible Square numbers that Lara could have chosen.

Lara rounds her chosen square number to the nearest hundred, and the result is 200. This means that her chosen square number must be greater than or equal to 150 and less than or equal to 250.

The first perfect square greater than or equal to 150 is 169, which is 13 squared. The next perfect square is 196, which is 14 squared. The last perfect square less than or equal to 250 is 225, which is 15 squared.

Therefore, Lara could have chosen any of the following three square numbers:

- 169

- 196

- 225

To verify that these are indeed the only possible square numbers that could have been rounded to 200, we can use the formula for rounding to the nearest hundred:

rounded number = 100 * (original number rounded to the nearest hundred)

If the original number is a perfect square, then we can write it as n^2, where n is a positive integer. Substituting this into the formula above, we get:

200 = 100 * (n^2 rounded to the nearest hundred)

Simplifying this expression, we get:

2 = (n^2 rounded to the nearest hundred) / 100

Since the right-hand side is an integer, it follows that n^2 rounded to the nearest hundred must be a multiple of 200. The only perfect squares between 150 and 250 that satisfy this condition are 169, 196, and 225, as we found earlier. Therefore, these are the only possible square numbers that Lara could have chosen.

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Answer:

44 months

Step-by-step explanation:

If you subtract 24,000 by 2,000 it equals 22,000 then you divide that by 5 and have 44

Answer:

44 months

Step-by-step explanation:

24000 - 2000= 22000

500 x 44= 22000

Answer:

Option E = $170

Step-by-step explanation:

Since it's not his money, its not profit for the owner. If he had not stolen the money the man would have had his $100 in the cash register and $70 more for whoever buys the bag.

Answer:

I think your right! like idek how the hell that would be wrong-

Step-by-step explanation:

Answer: its just 12 because a is just a variable

Step-by-step explanation: so like 5 - 7n its just 5 - 7 which in 2 so 12a is just 12

Answer:

-79

Step-by-step explanation:

an=5-7n This is the given equation

Now, we substitute 12 for n and do the equation

a(12)=5-7(12)

a(12)=5-84

a(12)=-79 This is our answer, negative 79

Answer:

y=2x-6

Step-by-step explanation:

subtract 6x from each side. divide each side by -3.

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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Answer:

x = 15

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )

Thus

x² = 9 × (9 + 16) = 9 × 25 = 225 ( take the square root of both sides )

x = \(\sqrt{225}\) = 15

The choice function c satisfies finite nonemptiness and choice coherence, but there does not exist a utility function U , which does not contradict the Fundamental Theorem of Mindless Economics.

A. To show that the choice function c satisfies finite nonemptiness, we need to demonstrate that for each choice set Bn, c(Bn) is non-empty.

To show that the choice function c satisfies choice coherence, we need to demonstrate that for any two choice sets Bn and Bm, if Bn ⊆ Bm, then c(Bn) ⊆ c(Bm).

From the given information, we have B1 = {x, y}, B2 = {y, z}, and B3 = {x, z}. Let's consider the possible pairs of choice sets:

B1 and B2: B1 ⊆ B2 since {x, y} is a subset of {y, z}. In this case, c(B1) = {x} and c(B2) = {y}. We can observe that {x} ⊆ {y}, which satisfies the condition of choice coherence.

B1 and B3: B1 ⊆ B3 since {x, y} is a subset of {x, z}. In this case, c(B1) = {x} and c(B3) = {z}. We can observe that {x} ⊆ {z}, which satisfies the condition of choice coherence.

B2 and B3: B2 ⊈ B3 since {y, z} is not a subset of {x, z}. Therefore, the condition of choice coherence does not apply in this case.

Overall, the choice function c satisfies finite nonemptiness and choice coherence, except for the pair of choice sets B2 and B3.

B. To show that there does not exist a utility function U: {x, y, z} → R that can produce these choices via the usual formula c(Bn) = {x ∈ Bn : U(x) ≥ U(y) for all y ∈ Bn}, we need to demonstrate that such a utility function does not exist.

Let's consider the pairs of choice sets B1 and B2:

For B1 = {x, y}, we have c(B1) = {x}. To satisfy the usual formula, we would need a utility function U(x) ≥ U(y). However, since there is no order or preference provided for x, y, and z, we cannot assign numerical values to them in a way that U(x) ≥ U(y) holds.

Similarly, for B2 = {y, z}, we have c(B2) = {y}. Again, we cannot assign numerical values to y and z that satisfy U(y) ≥ U(z) since there is no preference or order specified.

Therefore, there does not exist a utility function U: {x, y, z} → R that can produce these choices via the usual formula.

C. The answers to parts (a) and (b) do not contradict the Fundamental Theorem of Mindless Economics because the choices made by the individual in this scenario do not adhere to the assumptions of utility maximization based on preferences.

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The complete question is:

Suppose X = {X, Y, Z}, And B = {B1 , B2 , B3} Where B1 = {X, Y}, B2 = {Y, Z} And B3 = {X, Z}. We Have The Following Information About An Individual’s Choice Function: C (B1) = {X}, C (B2) = {Y}, And C (B3) = {Z}, A. Show That C Satisfies Finite Nonemptiness And Choice Coherence. B. Show That There Does Not Exist A Utility Function U : {X, Y, Z} → R, That Can.

Suppose X = {x, y, z}, and B = {B1 , B2 , B3} where B1 = {x, y}, B2 = {y, z} and B3 = {x, z}. We have the following information about an individual’s choice function:c (B1) = {x}, c (B2) = {y}, and c (B3) = {z},A. Show that c satisfies finite nonemptiness and choice coherence.

B. Show that there does not exist a utility function U : {x, y, z} → R, that can produce these choices via the usual formula (discussed in class): c (Bn) = {x ∈ Bn : U (x) ≥ U (y) for all y ∈ Bn} , for n = 1, 2, 3.

C.Explain why your answers to parts (a) and (b) do not contradict the Fundamental Theorem of Mindless Economics.

Option (c) is the correct option.

9/10 is rational and a real no. but not an integer.

What is a rational number?

A number with the form p/q, where p and q are integers and q is not equal to 0, is said to be rational.

What is an integer?

In the category of real numbers are irrational numbers, fractions, and rational numbers like positive and negative integers.

What is a real number?

Integers, which can be both negative and positive and include zero, are numbers without a decimal or fractional component.

Our objective is to find a number which is rational and a real number but not an integer.

√2 is not rational and not a real number.

-5 is rational and a real number but It is an integer.

9/10 is rational and a real number and also not an integer.

Hence, (c) is the correct option.

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The z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.

Given that the z score separates the 56% of the distribution from the area in the tails of the standard normal distribution.

In a normal distribution in with mean μ and standard deviation σ, the z score of a measure X is as under:

Z=(X-μ)/σ

It is used to measure how many standard deviations the measure is from the mean.

After finding the z score we have to look at the z score table and find the p value associated with this z score, which is the percentile of X.

The normal distribution is symmetric which means that the middle 56% is between the 11th and 67th percentile. Looking at the z table the z scores are Z=±0.77.

Hence the z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.

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The solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

To fathom the given differential equation, xy'' + y' = 0, we will begin by expecting a control arrangement of the frame y = ∑(n=0 to ∞) a_nx^n, where a_n speaks to the coefficients to be decided.

Separating y with regard to x, we get:

\(y' = ∑(n=0 to ∞) a_n(nx^[(n-1))] = ∑(n=0 to ∞) na_nx^[(n-1)]\)

Separating y' with regard to x, we get:

\(y'' = ∑(n=0 to ∞) n(n-1)a_nx^[(n-2)]\)

Presently, we substitute these expressions for y and its subsidiaries into the differential condition:

\(x(∑(n=0 to ∞) n(n-1)a_nx^[(n-2))] + (∑(n=0 to ∞) na_nx^[(n-1))] =\)

After improving terms, we have:

\(∑(n=0 to ∞) n(n-1)a_nx^[(n-1)] + ∑(n=0 to ∞) na_nx^[n] =\)

Another, we compare the coefficients of like powers of x to zero, coming about in a boundless arrangement of conditions:

For n = 0: + a_0 = (condition 1)

For n = 1: + a_1 = (condition 2)

For n ≥ 2: n(n-1)a_n + na_n = (condition 3)

Disentangling condition 3, we have:

\(n^[2a]_n - n(a_n) =\)

n(n-1)a_n - na_n =

n(n-1 - 1)a_n =

(n(n-2)a_n) =

From equation 1, a_0 = 0, and from equation 2, a_1 = 0.

For n ≥ 2, we have two conceivable outcomes:

n(n-2) = 0, which gives n = or n = 2.

a_n = (minor arrangement)

So, the solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

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Step-by-step explanation:

squaring both side

(18√8-8√18)^2=(√n)^2

(18√8)^2+(8√18)^2-(2)(8√18)(18√8)=n

after solving it we will get

3744-3456=n

n=288

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

Explanation:

Simplify the first part of the left side

\(18\sqrt{8} = 18\sqrt{4*2}\\\\18\sqrt{8} = 18\sqrt{4}*\sqrt{2}\\\\18\sqrt{8} = 18*2*\sqrt{2}\\\\18\sqrt{8} = 36\sqrt{2}\)

And do the same for the second part of the left side

\(8\sqrt{18} = 8\sqrt{9*2}\\\\8\sqrt{18} = 8\sqrt{9}*\sqrt{2}\\\\8\sqrt{18} = 8*3*\sqrt{2}\\\\8\sqrt{18} = 24\sqrt{2}\)

For each simplification, you are trying to factor the stuff under the square root so that you pull out the largest perfect square factor possible.

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

The original equation \(18\sqrt{8}-8\sqrt{18} = \sqrt{n}\) turns into \(36\sqrt{2}-24\sqrt{2} = \sqrt{n}\)

We have the common factor of \(\sqrt{2}\) so we can combine like terms on the left side ending up with \(12\sqrt{2}\)

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

So,

\(18\sqrt{8}-8\sqrt{18} = \sqrt{n}\\\\36\sqrt{2}-24\sqrt{2} = \sqrt{n}\\\\12\sqrt{2} = \sqrt{n}\\\\\sqrt{n} = 12\sqrt{2}\\\\\left(\sqrt{n}\right)^2 = \left(12\sqrt{2}\right)^2\\\\n = 288\)

Yes it is possible to express \(18\sqrt{8}-8\sqrt{18}\) as multiples of the same square root. In this case, we can express the left hand side of the original equation as 12 multiples of \(\sqrt{2}\)

The eighth power of (3 - 2i) is approximately -1.634 × 10^6 - 1.222 × 10^6i.

To use DeMoivre's theorem, we need to write the complex number in polar form, which is given by:

r = √(a^2 + b^2) = √(3^2 + (-2)^2) = √13

θ = tan^-1(b/a) = tan^-1(-2/3) ≈ -0.588 radians

Therefore, the polar form of (3 - 2i) is:

(3 - 2i) = √13 cis(-0.588)

Using DeMoivre's theorem, we have:

(3 - 2i)^8 = (√13 cis(-0.588))^8 = (√13)^8 cis(-0.588 * 8) = 371293 cis(-4.704)

To write the result in standard form, we need to convert back to rectangular form:

371293 cis(-4.704) ≈ -1.634 × 10^6 - 1.222 × 10^6i

Therefore, the eighth power of (3 - 2i) is approximately -1.634 × 10^6 - 1.222 × 10^6i.

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The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.

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Answer:

Step-by-step explanation:

let us calculate area of pentagon.

it consists of 5 isosceles triangles with base=5 cm

apothem h=3.6 cm

area of pentagon=5×1/2×5×3.6≈45 cm

area of 2 pentagons (top and bottom)=2×45=90 cm²

lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²

Total surface area=90+300=390 cm²

True. Seasonality refers to a regular, repeating pattern in the data that takes longer than one year to complete. It can occur in various forms such as monthly, quarterly, or even weekly patterns.

These patterns are usually associated with external factors such as weather, holidays, or other events that influence consumer behavior. By identifying seasonality in the data, businesses can use it to predict future trends and adjust their strategies accordingly. This information can be valuable in a range of industries such as retail, tourism, and agriculture.

Overall, understanding the repeating patterns in data is essential for making informed decisions and staying ahead of the competition.

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1. A graph of two similar, but not equal, right triangles using segments of line AB as the hypotenuse of each triangle is shown below.

2. The three pair of corresponding angles and sets of proportionate sides include:

ΔACE ≅ ΔBDF, ΔAEC ≅ ΔBFD, and ΔCAE ≅ ΔDBF.

AC = BD, EC = FD, and AE = BF

3. Yes, the slope of line is the same between any two points on the line.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Part 1.

In this exercise, we would use an online graphing tool to create two similar, but not equal, right triangles by using line segments AB as the hypotenuse of each triangle.

Part 2.

Based on the side, side, side (SSS) similarity theorem, we can logically deduce the following congruent (similar) triangles and sets of proportionate sides:

Part 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using this formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope AC = (0 + 1)/(-3 + 5)

Slope AC = 1/2.

Slope BD = (3.5 - 2)/(4 - 1)

Slope BD = 1/2.

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Answer:

7 and 8

Step-by-step explanation:

\( {x}^{2} + 7x + 12\)

(x+3)(x+4)

\( {x}^{2} + 8x + 12\)

(x+2)(x+6)

The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Mean The formula for finding the mean is: mean = (sum of observations) / (number of observations).

Therefore, the mean for the daily production of cell phones is: Mean = (7+10+12+15+18+19+20) / 7

= 101 / 7

Mean = 14.43

Variance The formula for finding the variance is: Variance = (sum of the squares of the deviations) / (number of observations - 1) Where the deviation of each observation from the mean is: deviation = observation - mean First, calculate the deviation for each observation:7 - 14.43

= -7.4310 - 14.43

= -4.4312 - 14.43

= -2.4315 - 14.43

= 0.5718 - 14.43

= 3.5719 - 14.43

= 4.5720 - 14.43

= 5.57

Now, square each of these deviations: 56.25, 19.62, 5.91, 0.33, 12.75, 20.9, 30.96 The sum of these squares of deviations is: 56.25 + 19.62 + 5.91 + 0.33 + 12.75 + 20.9 + 30.96

= 147.72

Therefore, the variance for the daily production of cell phones is: Variance = 147.72 / (7-1) = 24.62 Standard deviation ) Mean = 14.43b) Variance per Day = 24.62c) Standard Deviation = 4.96

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Yes, it is widely known that 100-200 high-frequency words account for about 50% of the words used in school texts. This highlights the importance of explicitly teaching these words to students in order to improve their reading fluency and comprehension.

Among these high-frequency words, almost 25% are permanently irregular, meaning that they do not follow standard spelling and pronunciation rules. This makes it even more important for students to learn these words through direct and systematic instruction, as they can greatly impact their reading and writing abilities. By focusing on these high-frequency words, educators can help students build a strong foundation of vocabulary knowledge, which can lead to improved reading outcomes and success in school.

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Answer:

Quadrant I

Step-by-step explanation:

Reflection is a type of solid transformation in which an object or a point is flipped with respect to a reference point or plane to produce its image. It changes the orientation of an object, but not its shape and size.

Reflecting the point X across x-axis produces an image in quadrant II. Now, reflecting it across the y-axis would fix its image now in quadrant I.

Therefore, reflecting point X across the x-axis and then y-axis would produce its image in quadrant I.

Answer:

4.8kg

Step-by-step explanation:

Answer:

Step-by-step explanation:

24 / 5 = 4.8.

20% of 24 kg is 4.8kg

Answer: 135%

Step-by-step explanation: Given

Europe =  35%

Asia = 10%

Australia* = 20%

North America = ?

To find

Europe + Asia + Australia =

35% + 10% + 20% = 65%

Then the total subtracted from the given

200 - 65 = 135

Therefore,

North America = 135%

Confirm

To make sure that is the correct answer, add it all together.

35 + 10 + 20 + 135 = 200

Which means it is correct.

Given:

Addition and subtraction of integers.

To find:

The value of each expression.

Solution:

We know that,

\((+)(+)=(+),(+)(-)=(-),(-)(+)=(-),(-)(-)=(+)\)

Adding Integers :

1) 85+ (-96) = 85 - 96 = -11

2) 80 + 57 = 137

3) 86 + (-38) = 86 - 38 = 48

4) 22 + (-41) = 22 - 41 = -19

5) -18 + (-45) = -18 - 45 = -63

6) -32 + 48 = 16

7) 6+ (-33) = 6 - 33 = -27

8) 6 + (-47) = 6 - 47 = -41

9) (-78) + 69 = -78 + 69 = -9

10) -72 + (-30) + 10 = -72 - 30 + 10

                              = -102 + 10

                              = -92

11) -83 + (-36) + 20 = -83 - 36 + 20

                              = -119 + 20

                              = -99

Subtracting Integers :

1) 1-3 = -2

2) 2-(-5) = 2 + 5 = 7

3) 6-(-9) = 6 +9 =15

4) -7 - (-1) = -7 + 1 = -6

5) -7 - 4 = -11

6) 3- (-2) = 3 + 2 = 5

7) 1-9 = -8

8) 2-9 = -7

9) -8 - (-1) =​ -8 + 1 = -7

Answer:

2.3333333333333333333333333333333 sec

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

Answer:

Days       Hours

  1              24

  2             48

  3             72

  4             96

  5            120

  6            144

Step-by-step explanation:

hope this helped:) just add lines and it will be a table