What is the value of h(2)

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

SR = 17.56

Step-by-step explanation:

Formula = PR * RT = SR * RQ

60 * (4x - 26) = 38 * (2x - 1)

Solve for x

240x - 1560 = 76x - 38

164x = 1522

x = 9.28

Solve for SR

2x - 1

2(9.28) - 1

SR = 17.56

The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔPQR is similar to the triangle ΔTSR. Then the ratio of the corresponding side will be constant.

SR / RQ = RT / PR

(2x - 1) / 38 = (4x - 26) / 60

(2x - 1) / 19 = (2x - 13) / 15

19(2x - 13) = 15(2x - 1)

Simplify the equation further, then we have

38x - 247 = 30x - 15

38x - 30x = 247 - 15

8x = 232

x = 232 / 8

x = 29

Then the length of the side SR will be given as,

SR = 2(29) - 1

SR = 58 - 1

SR = 57

The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.

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The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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Answer:

The value of k is 1.

Step-by-step explanation:

You have to apply Indices Law :

\( {a}^{m} \times {a}^{n} = {a}^{m + n} \)

For this question :

\( {( \frac{4}{5} )}^{2} \times {( \frac{4}{5} )}^{5} = {( \frac{4}{5} )}^{6k + 1} \)

\( {( \frac{4}{5}) }^{2 + 5} = {( \frac{4}{5}) }^{6k + 1} \)

\(by \: comparison\)

\(2 + 5 = 6k + 1\)

\(7 = 6k + 1\)

\(7 - 1 = 6k\)

\(6k = 6\)

\(k = 6 \div 6\)

\(k = 1\)

Answer:

k = 1

Step-by-step explanation:

\(a^{m} * a^{n} = a^{m+n}\\\\(\frac{4}{5})^{2}*(\frac{4}{5})^{5}=(\frac{4}{5})^{6k+1}\\\\\\(\frac{4}{5})^{2+5}=(\frac{4}{5})^{6k+1}\\\\(\frac{4}{5})^{7}=(\frac{4}{5})^{6k+1}\)

Compare the powers,

6k + 1 = 7         {subtract 1 from both sides}

     6k = 7 - 1

    6k  = 6     {Divide both sides by 6}

  6k/6= 6/6

k = 1

A scatterplot is a graphical representation of the relationship between two variables, and it can provide valuable insights into the nature and strength of the relationship between those variables.

Without access to the scatterplot or additional information, it is impossible to determine how much memory would be available on the computer if you installed 4 programs. T

he scatterplot could show a positive, negative, or no correlation between the number of programs installed and the amount of memory available, and the range of values for each variable could vary widely.

Therefore, we cannot make any meaningful prediction without further data.

However, without knowing the specific characteristics of the scatterplot, we cannot determine how much memory would be available on a computer if 4 programs were installed.

We would need additional information such as the slope, intercept, and correlation coefficient of the regression line, as well as the range and distribution of the data points for each variable, in order to make a meaningful prediction.

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The first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers, the number 3406 belongs to the set of whole numbers.

The set of whole numbers includes all the natural numbers (or counting numbers) and zero. It does not include negative numbers or fractions.

In this case, the number 3406 is a positive integer and does not contain any fractional or decimal parts. Therefore, it falls under the category of whole numbers. Whole numbers are often used to represent quantities or values that cannot be divided into smaller parts, such as the number of objects or items.

To further clarify, natural numbers are the set of positive integers starting from 1 (1, 2, 3, 4, ...), while integers include both positive and negative whole numbers (-3, -2, -1, 0, 1, 2, 3, ...). Rational numbers include all numbers that can be expressed as a ratio of two integers, including fractions and terminating or repeating decimals. Real numbers encompass all rational numbers as well as irrational numbers, which cannot be expressed as a fraction or terminating decimal. Since 3406 is a positive whole number, it is correctly classified as a whole number.

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g(x) = - 4(-3)

= 12.........

In a sampling distribution of means, the distribution will approximate the normal distribution, the mean of the sampling distribution will equal the mean of the population and the standard deviation of the sampling distribution is based on Central Limit Theorem, option A.

The central limit theorem (CLT) of probability theory states that, under the assumption that all samples are of equal size and regardless of the population's actual distribution shape, the distribution of a sample variable approaches a normal distribution (i.e., a "bell curve") as the sample size increases.

In other words, the central limit theorem (CLT) is a statistical assumption that, given a sufficiently enough sample size from a population with a limited degree of variance, the mean of all sampled variables from the same population will be roughly equal to the mean of the entire population. According to the law of large numbers, these samples also resemble a normal distribution, with their variances almost equaling the variation of the population as the sample size increases.

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Complete question:

In a sampling distribution of means... 1. the distribution will approximate the normal distribution (bell curve). 2. the mean of the sampling distribution will equal the mean of the population 3. the standard deviation of the sampling distribution is called the standard error. This is based on the...

Central Limit Theorem

Standardization of Transformation

Z-Score Distribution Table

Relative Frequency of Probability

Answer:

Her proportion does not have corresponding parts in the same position.

Step-by-step explanation:

Sharon is drawing up a plan for building a reduced Eiffel Tower on her backyard patio. She has room to make a base of 5 feet. Her work is shown below.

What was Sharon’s error in finding the missing height measurement for her reduced tower?

Her proportion does not have corresponding parts in the same position.

For cross products, she needed to multiply 1050(328) and 5(x).

She needed to divide both sides by 1640, instead of 1050.

She needed to round down to 1.5 feet.

Height : base = 1,050 : 328

She has room to make a base of 5 feet.

Height : base = x : 5

1,050 : 328 = x : 5

1,050 / 328 = x / 5

Cross product

1,050 * 5 = 328 * x

5,250 = 328x

Divide both sides by 328

x = 5250 / 328

= 16.006

Approximately 16

Sharon's error:

Her proportion does not have corresponding parts in the same position.

Answer:

A

Step-by-step explanation:

Answer:

x= -4

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

6x-2x=-7-9

4x=-16

x=-16/4

x=-4

The multiplicative identity of -4 + 8i is (B) 1.

To find the multiplicative identity of -4 + 8i:

Therefore, the multiplicative identity of -4 + 8i is (B) 1.

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The correct question is given below:
What is the multiplicative identity of the complex number –4 + 8i?

(A) 0

(B) 1

(C) –4 + 8i

(D) 4 – 8i

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

to find unit rate, divide the denominator with the numerator in a way that the denominator becomes

Radioactive Decay Calculator: Complex Fracti

Multiplying Exponents Calculator: Greater Than

Frequency Distribution Calculator:  (1/4) × (2/2) = (1 × 2) / (4 × 2) = 2/8

(1/4) × (4/4) = (1 × 4) / (4 × 4) = 4/16     (1/4) × (3/3) = (1 × 3) / (4 × 3) = 3/12

Answer:

9 portions and 15 grams in each portion

Answer:

D

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

A and D

The number of apartments booked that produces the maximum revenue is 500. The maximum revenue is $200,000.

To determine the number of apartments that yield the maximum revenue for Jane's Vacation Rentals, we can use the given revenue function: R(x) = 400x - 0.4x, where x represents the number of apartments booked. The revenue function is a linear equation that accounts for both the base revenue of $400 per apartment and a decrease of $0.40 per apartment. To find the maximum revenue, we need to identify the x-value that corresponds to the vertex of the parabolic graph formed by the revenue function.

To find the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation in standard form. In this case, the coefficient of x² is zero, and the coefficient of x is -0.4. Plugging these values into the formula, we have x = -(-0.4) / (2 * 0.4) = 0.4 / 0.8 = 0.5.

Hence, the number of apartments booked that generates the maximum revenue is 500. To find the maximum revenue, we substitute this value into the revenue function: R(500) = 400 * 500 - 0.4 * 500 = $200,000.

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Answer:

My summary is on Happy Death Day

Basically there is this girl, she got murdered in the night but before being murdered she spent the entire day being mean and making choices she would later on regret, but when she dies she wakes up again in her room and the same exact things that happened the day the died happened, it was exactly the same. This happened over and over again and she kept dying no matter what she did, it was like a time loop that restarted whenever she was murdered. She had to solve it by killing the one who murdered her or stopping it somehow, she tried everything to avoid being killed. She even got herself sent to jail but still died there, she made a list and tried figuring out who the murderer was. She spent one day being nice to everyone, thinking she had figured out how to stop the murderer because she wanted her day to be great because she thought she wouldnt be killed that night as she thought she knew how to survive. She ate the cupcake her roommate offered her and wasnt murdered that night (the other days she ignored her roommate) Before she went to sleep she said a quote when she was making her Birthday wish (she died on her birthday, hence the name happy death day) "What do you wish for?" "Tomorrow."

"Just...Tomorrow?" "Yeah." She then woke up again in the time loop, and the day repeated. She was confused to why this happened when at the end of the day her roommate offered her the cupcake. She realized the cupcake had poison in it and killed her roommate. But she died again, still in the time loop. She was so confused, all she knew was that her killer wore a mask. Then, after research she figured out it was a mentally ill patient who was killing her. Her best friend (boy friend/guy friend) then  sacrificed himself for her taking the hit so she could live, she finally was able to escape the killer. But she realized, if she broke out of the time loop, it would continue so that her guy friend/boy friend was dead. The one who sacrificed himself for her, so she (I don't want this answer to get taken down for describing what she did, but let's say she died on purpose) And woke up again in the time loop. This time she rushed to kill the patient who had been killing her every night in the time loop, and the time loop was broken. That's the summary.

Answer:

will a summary of sinister do?

Summary of "Sinister'

so basically it all starts out with a family downsizing their house because of the dad's job. So they move into the house and they find a weird box in the attic, with a few old tapes and a projector, so the dad starts watching the tapes. (on the tapes their are murders of like 5 other families but he doesnt know that.) so then creepy stuff starts happening like first the attic where they found the creepy box keeps opening by itself. then the little girl starts drawing pictures of  murders and her with mr.boogie, and the boy keeps waking up with bruises and injuries, and at the end the girl kills the whole family.

Answer:

20 inches

Step-by-step explanation:

Since there are 480 miles in total, we have to divide it by 12 so we can see how many half inches that would be.

480÷12 = 40

That would mean you can fit forty 12's in 480. Since 12 miles equals 1/2, you would multiply it by 40.

1/2 × 40 =20

This means that the distance between the cities on the map would be 20 inches.

Answer:

2

Step-by-step explanation:

ok so let's start

were starting off with -3/4 and were adding 2 3/4 to that and it's equal to 2 3/4 subtract 3/4

-3/4 + 2 3/4 = 2 3/4 - 3/4

2 3/4 - 3/4 = 2

-3/4 + 2 3/4 = 2

it's 2 my dude or girl i don't know

We can't simplify -49/88 any further because it's already reduced to the least common factor in the numerator and denominator.

We'll leave it as it is;

-49/88

\(--------------------------------\)

No podemos simplificar más -49/88 porque ya está reducido al mínimo común divisor en el numerador y el denominador.

Lo dejaremos como está;

-49/88

Answer:

choose d is correct one good

The time Billy should get up to be right on time for school is 6:52 am.

The formula to calculate the time Billy should get up to be right on time for school is as follows: Time Billy Should Get Up = School Start Time - (Time to Get Dressed + Time to Eat Breakfast + Time to Walk to School). In this case, the formula is: Time Billy Should Get Up = 8:35 am - (32 minutes + 13 minutes + 17 minutes). In order to solve this equation, first we must convert the minutes to hours. 32 minutes is equal to 0.53 hours and 13 minutes is equal to 0.22 hours. 17 minutes is equal to 0.28 hours. Thus, the formula is: Time Billy Should Get Up = 8:35 am - (0.53 hours + 0.22 hours + 0.28 hours). Now, we can solve for the time Billy should get up. 8:35 am minus 0.53 hours is 7:42 am. Then, 7:42 am minus 0.22 hours is 7:20 am. Finally, 7:20 am minus 0.28 hours is 6:52 am. Therefore, the time Billy should get up to be right on time for school is 6:52 am.

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f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

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Step-by-step explanation:

all answers and steps are in picture

Answer: 61 apples

Step-by-step explanation:

Given:

1 apple

+2 apples = +10 minutes

1 hour = 60 minutes

60/10 = 6 x 2 = 12 apples/hr

12 x 5 = 60 apples for 5 hours

60 + 1 = 61 apples

\((1)... \frac{x}{5} = 2 \\ x = 5 \times 2 \\ x = 10 \\ (2).. \frac{a}{3} + 1 = 3 \\ \frac{a + 3}{3} = 3 \\ a + 3 = 9 \\ a = 9 - 3 = 6 \\ (3) \: \: \frac{p}{4} - 1 = 2 \\ \frac{p - 4}{4} = 2 \\ p - 4 = 8 \\ p = 8 + 4 = 12\)

\((4) \frac{2x}{5} = 7 \\ 2x = 35 \\ x = \frac{35}{2} = 17.5\)

Answer:

angle pts is a 45 degree angle

Step-by-step explanation:

The total number of games the team played last year was 80 (option C). In the first half of the year, the team won 60 percent of their games, indicating that they won 6 out of every 10 games played.

In the second half of the year, the team played 20 games and won 3 of them. This means that in the second half, they won only 3 out of 20 games, which is equivalent to winning 15 percent of their games.

To find the overall percentage of games won, we can calculate the weighted average of the two percentages. Since the team won 50 percent of their games overall, we can assign equal weights to the first and second halves of the year. Therefore, the average winning percentage for the team would be the midpoint between 60 percent and 15 percent, which is (60% + 15%) / 2 = 37.5%.

Let's assume the total number of games played last year was x. Since the team won 37.5% of the games, they won 0.375x games. We can set up an equation based on the information given:

0.375x = 50% of x

0.375x = 0.5x

0.5x - 0.375x = 0

0.125x = 0

x = 0 / 0.125

x = 0

However, we have arrived at an invalid result. It seems there is an error in the information provided or the calculations made.

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