Let U § C be a region containing D(0; 1) and let f be a meromorphic function on U, which
has no zeros and no poles on dD (0;1). If f has a zero at 0 and if Ref (z) > 0 for every
ZE AD (0;1), show that f has a pole in D(0; 1).

Step-by-step explanation:

1/5 + 3/5 = 3/5 + 1/5 = 4/5

I am not sure what your teacher wants to see on the right side of the second equation.

it would be the whole equation again :

4/5 = 1/5 + 3/5 = 3/5 + 1/5

Answer:

B, C, and F

Step-by-step explanation:

y = 1/2x

y = 1/2(4)

y = 2

y = 1/2x

y = 1/2(-2)

y = -1

y = 1/2x

y = 1/2(2)

y = 1

Answer:

Step-by-step explanation:

Use Pythagorus to find the length of the unmarked length

c^2 = a^2 + b^2

a = 5

b = 17 -10 = 7

c = ?

c^2 = 5^2 + 7^2

c^2 = 25 + 49

c = sqrt(74)

c =8.602

P = 5 + 10 + 17 + 8.602

P = 40.602

According to the given measurement, the total amount of intake is 621.0435 ml

Here we have given the following measurements they are listed as follows:

=> 1/2 cup of orange juice,

=> 2/3 glass of milk, full cup of lemonade,

=> full glass of water,

=> 1 popsicle (3 ounces) and

=> 4 ounces ice chips.

Here we also know that

1 cup = 8 oz

1 glass = 6 oz

And as per the Si measurements,

1 oz = 29.5735 ml.

To order to calculate the total amount of intake we have to sum all the given measurements, then we get,

=> 1/2(8) + 2/3(6) + 6 + 3 + 4

When we simplify this one then we get,

=> 4 + 4 + 6 + 3 + 4 = 21

Now, we have to convert ounce into milliliter, for that we have multiply 29.5735 with the total measurement, then we get,

=> 21 x 29.5735 = 621.0435 ml

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Wyatt's mix will be more watery compared to Emma's mix.

What does it mean for a mixture to be "more watery"?

The percentage of water in a mix is an essential factor that determines its taste, texture, and consistency. A higher percentage of water in a lemonade mix will make it more watery and less concentrated. In contrast, a lower percentage of water will make the mix less watery and more concentrated. The right balance of water and lemon mix is crucial to make a perfect lemonade.

Calculation for percent of water in the lemon drink mix:

To find the percent of water in the lemonade mixes, we need to divide the amount of water by the total volume of the mix and then multiply by 100.

For Wyatt's mix:

Percent of water = (2 cups water / (2 cups water + 1 cup lemon mix)) x 100

Percent of water = 66.67%

For Emma's mix:

Percent of water = (12 cups water / (12 cups water + 7 cups lemon mix)) x 100

Percent of water = 63.16%

From the calculations, we can see that Wyatt's mix has a higher percentage of water than Emma's mix. Therefore, Emma's mix will be less watery compared to Wyatt's mix.

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So the answer is 1.3 after rounding to 10.

Answer:

54.7

Step-by-step explanation:

16.7 + 11 + 11 + 8 + 8 = 54.7

Note

I don't know how you are wrong but I showed my work and I got the same answer which is weird.

Answer:

I think its D

Step-by-step explanation:

It's obviously not A, because A has an x instead of y. B makes no sense because the range is 2-6. C makes no sense. D is the only logical answer.

The range of the function for this situation is 17 ≤ w ≤ 47

An equation is an expression used to show the relationship between two or more variables.

Let x represent the number of textbooks in the box

The company requires a student to order at least 2 books, hence:

x ≥ 2.

w(2) = 7.5(2) + 2 = 17

Also they do not require more than 6 books, hence:

x ≤ 6

w(6) = 7.5(6) + 2 = 47

The range of a function is the set of possible dependent variables.

Hence, the range of the function for this situation is 17 ≤ w ≤ 47

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Answer:

(question no.1 answer).  x=2, y=1

Step-by-step explanation:

here given ,  y = 6x-11 and -2x-3y= -7

or,  -2x-3x(6x-11) = -7   [putting the value of y]

or,  -2x-18x+33= -7

or, -20x= -40

or, x = 2

also,

y= 6x-11

or, y = 6*2-11

y= 1

Answer:

We will need 4 pitchers to fill with water the new cylinder.

Step-by-step explanation:

The volume of the first cylinder is:

\(V_{1}=\pi r^{2}h\)  (1)

Where:

Using the values of the problem we have:

\(V_{1}=\pi 4^{2}9\)

\(V_{1}=452.4\: in^{3}\)

We know that it can fill a certain pitcher, so the volume of the pitcher is 452.4 in³.

Let's find the new volume of the second cylinder to find how many of these pitchers can this cylinder.

We know that the cylinder has the same height and the radius is 2 times the older one.

\(V_{2}=\pi (2r)^{2}h\)

\(V_{2}=\pi (2*4)^{2}9\)

\(V_{2}=1809.6\: in^{3}\)

Now, we just need to divide V(2) by V(1) to find the number of pitchers (np).

\(np=\frac{1809.6}{452.4}=4\)

Therefore, we will need 4 pitchers to fill with water the new cylinder.

I hope it helps you!

Answer:

0.4 Pints

Step-by-step explanation:

The equation for the price of house after x years is,

Simplify the equation to obtain the equation for value of house after x years.

So option B is correct.

B = -9/2

Hopefully this helps and this is what you're looking for.

Option C, The greatest common factor of −20x³y − 8\(xy^4\) + 4xy³ is 4xy by simplifying expressions and solving equations.

To find the greatest common factor (GCF) of the given terms, we need to factor out any common terms that they share.

First, we can factor out 4xy from each term:

−20x³y − 8\(xy^4\) + 4xy³ = 4xy(-5x² - 2y³ + y)

Now we need to check if any further common factors can be factored out from the remaining expression (-5x² - 2y³ + y). However, there are no other factors that can be factored out from this expression.

As it enables us to factor out frequent terms and reduce the expression to its most basic form, the GCF is beneficial for simplifying expressions and solving equations.

Therefore, the GCF of the original terms is 4xy, option (c).

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Answer:

4xy

Step-by-step explanation:

I did the test and got it right !

It is the greatest common factor of 20, 8, and 4. And we add the “xy”.

Answer:

2 classes at Hilltop, 3 classes at Serra; and $20,600

Step-by-step explanation:

We can generate two equations from the problem

Equation 1: Dr. Lum can teach up to 5 classes per semester at both colleges. If 'h' represents the number of classes taken at Hilltop College, and 's', the number of classes taken at Serra College,

Equation 1 becomes: h + s = 5

Equation 2: Dr. Lum spends 3 hours per week preparing for Hilltop classes, and 4 hours for Serra classes, subject to a maximum of 18 hours per week.

Equation 2 becomes: 3h + 4s = 18

Now solving using substitution method,

We can derive an equation 3 from equation 1, as follows.

Equation 3: h = 5 - s.

Substituting equation 3 into equation 2, equation 2 becomes

3(5 - s) + 4s = 18

= 15 - 3s + 4s = 18

= 15 + s = 18

= s = 3.

With s = 3, using equation 3, h = 5 - 3 = 2.

Therefore, Dr. Lum should teach 2 classes at Hilltop, and 3 classes at Serra.

His income will be

$4,000 (2) + $4,200 (3)

= $20,600.

Answer:

500

Step-by-step explanation:

Answer:

500

When rounding to the nearest hundred, like we did with 545  we use these rules

first you would have to round the number up to the nearest hundred if the last two digits in the number are 50 or above.

then you would have to   round the number down to the nearest hundred if the last two digits in the number are 49 or below.

lastly you would have to  see if  the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

The relative importance of unique events may decrease as the probability of a super event increases, it is important to consider all potential risks and their unique characteristics in a comprehensive approach to risk management.

The relationship between the probability of a super event and the importance of a unique event is complex and depends on several factors. Generally speaking, as the probability of a super event increases, the importance of a unique event may decrease in relative importance.

This is because the focus shifts from rare events to more probable ones. As the probability of a super event increases, there may be a greater need to allocate resources toward preventing or mitigating the effects of such events. This can mean that resources that were previously allocated to mitigating the risks of unique events may be redirected towards addressing the more significant risk posed by the super event.

However, it is important to note that the importance of unique events should not be overlooked or underestimated. These events may still pose significant risks and may require specific measures to prevent or mitigate their effects. Additionally, unique events may have consequences that cannot be addressed by measures intended to address super events.

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Answer:

7.425 pints

Step-by-step explanation:

Given that Tamia uses white and blue paint and 1/4 of the amount is white paint then the fraction of blue paint

= 1 - 1/4

= 3/4

Given that the total quantity of paints is 9.9 pints, the number of blue pints used to paint her bedroom walls

= 3/4 * 9.9

= 29.7/4

= 7.425 pints

Answer:

C

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

First, you subtract 4 by 36 which is 32. Then, divide 32 by 8 which equals 4 therefore the answer is 36.

The height of the building is 12 feet.

Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c² = a² + b²

Given that:

Length of the ladder (hypotenuse) = 13 feet

Distance of the ladder's bottom from the house (base) = 5 feet

Let's denote the height of the house (vertical side) as 'b'.

Using the Pythagorean theorem, we have:

13² = 5² + b²

b² = 13² - 5²

b² = 169 - 25

b² = 144

Taking the square root of both sides:

b = √144

b = 12

Therefore, the value of b is 12 feets.

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Explanation: A linear function would be a diagonal line from left to right either moving up or down in direction. An exponential function would be a straight line on the x axis from left or right until it reaches y axis, then a sharp curve up or down. A quadratic function would be a U shape either facing up or down.

Linear equation: y = mx + b
Exponential equation: y = abˣ
Quadratic function: y = axˣ + bx + c

The graph listed in the picture would be a quadratic function according to the explanation.

Isabella earns $9.50 per hour. She would've earned $475 for the entire 50 hours.

Answer:

Isabella earns $9.50 per hour. She earned $475 for the 50 hours.

Step-by-step explanation:

It takes approximately 1.63 seconds for the baseball to hit the ground after it is hit.

We are given the equation \(h(t) = -16t^2 + 40t + 5,\) which represents the height (h) of a baseball in feet as a function of time (t) in seconds after it is hit. We need to determine the time it takes for the baseball to hit the ground. To find the time when the baseball hits the ground, we need to find the value of t when the height (h) is equal to 0. This is because the baseball will be on the ground when its height is 0 feet.

Step 1: Set the height (h) equal to 0 and solve for t.
\(0 = -16t^2 + 40t + 5\)

Step 2: Solve the quadratic equation for t.
This can be done using the quadratic formula, factoring, or completing the square. We will use the quadratic formula:

\(t = (-B ± \sqrt{(B^2 - 4AC)})/ 2A\)

Where A = -16, B = 40, and C = 5.

Step 3: Plug in the values and solve for t.
\(t = (-40 ± \sqrt{(40^2 - 4(-16)(5))}) / (2(-16))\)

\(t = (-40 ± \sqrt{(1600 + 320)}) / (-32)\)

\(t = (-40 ± \sqrt{(1920)}) / (-32)\)

We get two possible values for t, but since time cannot be negative, we will only consider the positive value.

t ≈ 1.63 seconds

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A part of the question is missing which is;

What is the minimum duration for which an apartment remained empty for the company to update the kitchen appliances? Round to the nearest whole number.

Answer:

133 days

Step-by-step explanation:

We are given;

Population mean; μ = 85 days Population standard deviation; σ = 29 days

significance level; α = 5% = 0.05

Critical value of z at significance level of 0.05 = 1.645

Now, formula for z-score is;

z = (x - μ)/σ

Where x is the minimum duration for which an apartment remained empty for the company to update the kitchen appliances.

1.645 = (x - 85)/29

(1.645 × 29) = x - 85

47.705 = x - 85

x = 85 + 47.705

x = 132.705

x ≈ 133 days

Answer: 37 days

Step-by-step explanation: