For each given set S and the mapping f(z) in [(a)-(d)], answer the following questions[(i)-(ii)]: (i) Sketch the set S and determine if it is open/closed/domain.Justify your answer. (ii) Sketch the image of the set S under the mapping f(z) and and determine if the image is open/closed/domain. (a) the set S = {z € C: |2|<√√2, < Arg(2) <} under the mapping f(z) = z² e¹7 + 2 4 (b) the set Re(z) ≥ 0 and Im(z) ≥ 0 under the mapping f(2)= z²+2+4i under the mapping f(z) = 2iz² (c) the set S = {z € C: 1 ≤|z| ≤ 2,7 < Arg(z) < (d) The line Im(z) = 5 under the mapping f(z) = 2² +2

Answer:

1. First, add 64 to bith sides, cancelling one out and taking it to the other side, then dividing by two, giving you x=32.

2. Subtract 2x and take it to the other sude of the equation. Then divide -2 by -64, giving you x=32, due to the negative cancelling (turning to a positive).

Answer:

A. 2y-7

Step-by-step explanation:

2y-7

That's twice y and then subtracting 7.

The correct option is option( A).

Using the property of Obtuse Triangle, the triangle with sides { 8, 10, 14 } is an Obtuse Triangle.

Obtuse Triangle:

An obtuse triangle is a triangle with one interior angle greater than 90 degrees. In geometry, a triangle is represented as a closed 2D figure with three sides of equal or unequal length and three angles of equal or unequal measurements.

Obtuse triangle property:

we have given the sides of triangle so, we use the fourth property for check the triangle formed by given sides are obtuse triangle or not .

8² + 10² = 164; 14² = 196 -> obtuse

9² + 12² = 225; 15² = 225 -> not obtuse

10² + 14²= 296 ; 17²= 289 --> not obtuse

12² + 15² = 369; 19²= 361 --> not obtuse

Hence, the required triangle is triangle with sides 8, 10, 14.

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Complete Question:

which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle

A. 8, 10, 14

B. 9, 12, 15

C. 10, 14, 17

D. 12, 15, 19

Answer: the answer is A 8, 10, 14.

Step-by-step explanation: it show below.

Answer:

17/36 try using cymath it helps

Answer:

The two clock will chime together in 75 minutes

Step-by-step explanation:

- The two clock will chime together in the multiples of 15 and 25

- Lets find the first common multiple of 15 and 25

∵ 15 = 5 × 3

∴ The prime factors of 15 are 3 and 5

∵ 25 = 5 × 5

∴ The prime factor of 25 is 5

∴ The lowest common multiple of 15 and 25 = 5 × 3 × 5 = 75

∴ The two clocks will chime together every 75 minutes

Answer: y=10x

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is y=1x+2

If one of the longer sides of the Isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

Let's solve the problem step by step:

1. Identify the given information:

  - The triangle is isosceles, meaning it has two equal sides.

  - The two equal sides, labeled "a," are longer than the base, labeled "b."

  - The perimeter of the triangle is 15.7 centimeters.

  - One of the longer sides is 6.3 centimeters.

2. Set up the equation based on the given information:

  Since the triangle is isosceles, the sum of the lengths of the two equal sides is twice the length of the base. Therefore, we can write the equation:

  2a + b = 15.7

3. Substitute the known value into the equation:

  One of the longer sides is given as 6.3 centimeters, so we can substitute it into the equation:

  2(6.3) + b = 15.7

4. Simplify and solve the equation:

  12.6 + b = 15.7

  Subtract 12.6 from both sides:

  b = 15.7 - 12.6

  b = 3.1

5. Interpret the result:

  The length of the base, labeled "b," is found to be 3.1 centimeters.

Therefore, if one of the longer sides of the isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

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Answer:

B

Step-by-step explanation:

jimmy woo

The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.

Specificity and memory are two crucial properties that determine adaptive immunity. Both specificity and memory pertain to the adaptive immune system's capacity to recognize and attack certain diseases, as well as to promptly react to pathogens to which it has already been exposed.

Adaptive immunity can offer an enduring defense, perhaps for the duration of a person's lifespan. In certain circumstances, such as with chickenpox, it does not confer permanent protection; for instance, a person who recovers from measles is now protected against measles for the rest of their life.

Specificity, diversity, specialization, memory, and self/non-self identification are the immunologic characteristics that define adaptive immunity, and these cells both create and show antigen-binding cell surface receptors.

The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.

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The probability of a student doing well on an exam given that they spend time reading is approximately 0.983 or 98.3%.

To calculate the probability of a student doing well on an exam given that the student spends time reading, we need to use conditional probability.

Let's denote:

P(R) as the probability of a student spending time reading (P(R) = 0.59),

P(E) as the probability of a student doing well on an exam (P(E)),

P(E|R) as the probability of a student doing well on an exam given that they spend time reading (P(E|R) = 0.58).

The formula for conditional probability is:

P(E|R) = P(E and R) / P(R).

Given that P(E and R) = 0.58 (the probability of a student doing well on an exam and spending time reading) and P(R) = 0.59 (the probability of a student spending time reading), we can substitute these values into the formula:

P(E|R) = 0.58 / 0.59 = 0.983.

Therefore, the probability of a student doing well on an exam given that the student spends time reading is approximately 0.983 or 98.3%.

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The table of values represented from 60 = 12m is

m      5

f(m)   60

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

60 = 12m

To determine the table of values, we start by solving for m in the equation 60 = 12m

So, we have

12m = 60

Divide both sides by 12

m = 5

So, the equation can be expressed as

f(m) = 12m

This implies that the table of values is

m      5

f(m)   60

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The probability of rolling a sum of 6 exactly 6 times out of 10 rolls is approximately 0.0599, or about 6%.

The probability of rolling a sum of 6 on a pair of standard dice is 5/36, because there are 5 possible ways to roll a sum of 6 (1+5, 2+4, 3+3, 4+2, and 5+1) out of a total of 36 possible outcomes.

To calculate the probability of rolling a sum of 6 exactly 6 times out of 10 rolls, we can use the binomial distribution formula:

P(X = k) = (n choose k) × p^k × (1 - p)^(n - k)

where P(X = k) is the probability of getting k successes (in this case, rolling a sum of 6) out of n trials (in this case, 10 rolls), p is the probability of success on a single trial (in this case, 5/36), and (n choose k) is the number of ways to choose k successes out of n trials.

Plugging in the values for this problem, we get:

P(X = 6) = (10 choose 6) × (5/36)⁶ × (31/36)⁴

= (210) × (5/36)⁶ × (31/36)⁴

= 0.0599 (rounded to four decimal places)

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Answer:

$450.40

Step-by-step explanation:

I=(PRT)/100

I=(5630*4*2)/100=$450.40

The statement that best analyzes the role this event plays in The Necklace plot is A. It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.

There are both planned and unplanned events, and the start and end times may be noted. Event types include accidents, celebrations, natural disasters, and rallies. The event is the occurrence of the event.

Loisel is well-liked and adored by all. As she walks away, she searches for the pendant and discovers it has gone missing. After days of searching, she and her husband decide to replace it with something similar. It takes her ten decades to pay for the successor, which costs the same as your salary.

In this case, it best analyzes the role this event plays in leading to the resolution where Mathilde learns a lesson about the downfall that can come from vanity and greed The plot of The Necklace.

Therefore, the correct option is A.

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Complete question

Which statement best analyzes the role this event plays in The Necklace plot?

“Oh, my poor Mathilde! Why, my necklace was paste! It was worth at most only five hundred francs!”

It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.

It is the climax of the story since the reader is most excited at this point.

It serves as a complicating incident because Mathilde will have to suffer the consequences of her actions.

It serves as the falling action because it shows that Mathilde will have to get used to her place in life.

Answer:

x = 3

y = 7

Step-by-step explanation:

y=3x-2

y=4x-5

then 3x-2 = 4x-5

reduce

x = 3

y = 7

Answer:

SOLVE FOR Y

y=

2

x+5

​

SOLVE FOR X

x=2y−5

Step-by-step explanation:

Answer:

\(\bold{m=\frac{7}{8}}\)

Step-by-step explanation:

Formula:

\(\frac{y_2-y_1}{x_2-x_1}\)

(-2, -2)

(-10, -9)

Identify the values:

\(x_1 = -2\)

\(x_2 =-10\)

\(y_1 = -2\)

\(y_2=-9\)

Plug the points into the formula:

\(\frac{-9(-2)}{-10-(-2)}\)

\(=\frac{7}{8}\)

Therefore, the slope of these points is \(\bold{\frac{7}{8}}\).

The distance traveled to reach the boxcar is 54.4 m.

Part A: How long does it take him to catch up to the empty boxcar

A fugitive hops on a freight train that travels at a constant speed of 5.2 m/s, and just as an empty boxcar passes him, the fugitive starts from rest and accelerates to his maximum speed of 6.2 m/s, with an acceleration of a = 1.4 m/s2. We need to determine how long it would take him to catch up to the empty boxcar.

The distance traveled by the boxcar is equal to the distance traveled by the fugitive when he caught up with the boxcar. Therefore, we can use this equation:

distance = 1/2(a)t² + vt

where, v is the initial velocity, a is the acceleration, t is time, and distance is the distance traveled by the fugitive to catch up with the empty boxcar.

Substituting the given values:

v = 0 m/s (because he started from rest)

a = 1.4 m/s²t =  (what we are solving for)

distance = nee to find

We know that the boxcar has already traveled a certain distance before the fugitive starts accelerating. So the total distance traveled by the fugitive is the distance traveled by the boxcar plus the distance traveled by the fugitive after he started accelerating.

t = (6.2 m/s - 0 m/s)/1.4 m/s²t

 = 4.43 s (to two significant figures)

Therefore, it takes the fugitive 4.43 seconds to catch up with the empty boxcar.

Part B:

What is the distance traveled to reach the boxcar

To find the distance traveled by the fugitive, we use the same equation:

distance = 1/2(a)t² + vt

distance = 1/2(1.4 m/s²)(4.43 s)² + (5.2 m/s)(4.43 s)

distance = 54.4 m (to two significant figures)

The distance traveled to reach the boxcar is 54.4 m.

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Working together, Shayna and Huong can clean an attic in 6.16 hours. Had she done it alone, it would have taken Huong 11 hours. Therefore, Shayna can clean the attic alone in 80 hours.

Let's denote the amount of work to be done by x units. The work done by Shayna in one hour is y.

Shayna and Huong work together for 6.16 hours, so in one hour they do 1/6.

16 of the work together.According to the problem:

x/6.16 = 1/6.16 units per hour

Therefore, the amount of work done by Huong in one hour is (x/11).

Now, we can express the amount of work done by Shayna and Huong in one hour as:

(x/11) + y = 1/6.16

To determine the value of y, we can solve the above equation. Solving the equation:

(x/11) + y = 1/6.16y = (1/6.16) - (x/11)y = (11-6.16x)/(11 × 6.16)

So the amount of work done by Shayna in one hour is y = (11-6.16x)/(11 × 6.16).

To find how long it would take Shayna to do it alone, we have to express the amount of work done by Shayna alone in one hour as x/h.

Using the unitary method we have:

x/h = yx/h = (11-6.16x)/(11 × 6.16)

hx = 11 × 6.16 - 6.16x

hx + 6.16x = 11 × 6.16

hx = (11 × 6.16)/0.84 = 80 hours

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Answer:

Tank: 9 Bowl: 9

9 + 9 = 18

Step-by-step explanation:

Pls, choose me as brainliest!

Step-by-step explanation:

option a and option d ,

since highest degree of variable x is 2 in both cases

Answer:

third number of answer isquadritic

Answer:

B

Step-by-step explanation:

Becuase 1 divide 1/2

You make the division sign a multiplication sign

1 time 1/2

get the recipricol of 1/2 wich is 2

1 times 2/1

is 2

Answer:

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When they work the same duration, the time the husband and wife works is approximately 2,071 hours each

When they contribute the same amount, the wife, works for x = 1,500 hours, while the husband works for y = 3,125 hours

Step-by-step explanation:

The amount the couple intends to save in 13 years = $75,000

The amount the wife makes  per hour = $25

The amount the husband makes per hour = $12

The number of working hours in 13 years is given as follows;

Total number of hours = 40 hr/week × 52 weeks/year × 13 years = 27,040 hours

However, when the husband alone works, we have;

75,000/12 = 6,250 hours

Let 'x' and 'y' represent the number of hours the wife and husband works respectively, we have the following system of equations;

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When the couple work equal times

25·x + 12·y = 75,000...(1)

x = y...(2)

From equation (1), we have;

25·x + 12·y = 75,000

25·x + 12·x = 75,000

x = 75,000/37 ≈ 2,071 hours = y

The number of hours each will work is approximately 2,071 hours

When the husband and wife contribute the same amount, we have;

25·x = 12·y = 75,000/2

x = 75,000/(2 × 25) = 1,500

∴ x = 1,500 hours

The number of hours the wife works = 1,500 hours

y = 75,000/(2 × 12) = 3,125

∴ y = 3,125 hours

The number of hors the husband works = 3,125 hours

Answer:

What's the question doe?

Step-by-step explanation:

Always start on the y-axis.

rise/run

First things first, you have to know your positives, negatives, zeros, and undefined.

To make an equation from the graph you have to know your formula.

y=mx+b

You do the rise first. The rise on the graph is 3. The run is 2. So, that'll make it 3/2. m=slope.

b=y-axis. b=1.

y=3/2x+1 (Example from the image)

The pattern in y = x² exhibits a nonlinear increase in y as x increases, forming a U-shaped curve, while the pattern in y = 15 + x shows a linear increase in y as x increases at a constant rate.

The patterns in the equations y = x² and y = 15 + x differ in terms of the direction of change. In the equation y = x², the pattern shows an increase in y as x increases.

As x increases from negative to positive values, the corresponding y values also increase, forming a symmetric U-shaped curve. The rate of increase for y becomes steeper as x moves further away from zero.

On the other hand, in the equation y = 15 + x, the pattern shows a linear increase in y as x increases. As x increases, the corresponding y values increase in a straight line.

The rate of increase for y remains constant at one unit per increase in x. This linear pattern reflects a constant upward shift of the graph as x increases.

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The options for scatter diagram that accurately represents the data are yes, yes and yes

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

A graph is a type of non-linear data structure composed of nodes, also known as vertices and edges. Any two nodes, often referred to as vertices, in a network are connected by edges. The vertex numbers in this graph are 1, 2, 3, and 5, while the edge numbers are 1, 2, 1, 3, 2, 4, and 5, respectively.

The estimate aa of the intercept \alphaα is the average of yy decreased by the product of the estimate of the slope and the average of xx.

Because the point close to the residual plot's right edge is substantially farther to the right than the other points, the plot exhibits an outlier.

Furthermore, this outlier has a significant impact because the pattern in the points to the left clearly slopes upwards, suggesting that the regression model does not adequately account for the vast majority of the data.

Hence the correct options are

yes, yes, and yes.

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The correct option is d. The term used to describe the science of organizing and analyzing information to make the information more easily understood is statistics.

Statistics is a branch of mathematics concerned with the collection, analysis, interpretation, and presentation of data. This subject deals with data collection, organization, analysis, interpretation, and presentation. It is used in almost every field, including science, social science, business, and government.

Studying statistics is essential for understanding the data and making decisions based on it. Statistical analyses can help businesses make better decisions by providing a comprehensive understanding of trends, patterns, and potential risks. It can help to identify trends and predict future events based on past data.

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The expression that models Tyrell's net proceeds algebraically is d-(1.03ns + 15)  .

In the question ,

it is given that ,

Tyrell bought n shares for s dollars

So the price Tyrell paid for shares = $ ns .

Tyrell also paid 3% commission ,

so the total cost price Tyrell paid for shares = price of share + commission

total cost price = ns + 3% of ns

= ns + 0.03ns        ....as 3% = 0.03

= 1.03ns         ...(i)

Tyrell sold the stocks for d dollars .

Tyrell also paid the flat fee of $15 .

So, the selling price for stocks = d-15 ......(ii)

The Tyrell's Net Proceeds can be calculated using the formula

Net Proceeds = Selling Price - Cost price

Substituting the values of selling price and cost price from (i) and (ii) ,

we get ,

Net Proceeds = (d-15)-(1.03ns)

= d-15-1.03ns

= d-(1.03ns + 15)

Therefore , the expression that models Tyrell's net proceeds algebraically is d-(1.03ns + 15)  .

The given question is incomplete , the complete question is

Tyrell bought n number of shares for s dollars and paid a 3% commission. He sold the stock for d dollars and paid a flat fee of $15. Write an expression to model Tyrell’s net proceeds algebraically.

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