Help please :(((((( .

Whave established that the series l~=l an - z converges uniformly for Re(z) ≤ c

What is uniformly?

The keyword "uniformly" refers to the concept of uniform convergence. In the context of the given question, it is stated that the series l~=l an - z converges uniformly for Re(z) ≤ c. Uniform convergence means that the convergence of the series is independent of the value of z within a certain range (Re(z) ≤ c in this case).

To show that the series l~=l an - z converges uniformly for Re(z) ≤ c, where an is a bounded sequence of complex numbers and we choose the principal branch of n - z, we need to demonstrate that for any ε > 0, there exists an N such that for all n > N and for all z with Re(z) ≤ c, the inequality |l~=l an - z| < ε holds.

Given that an is a bounded sequence, there exists an M > 0 such that |an| ≤ M for all n.

Let's consider the series l~=l an - z. We can write it as:

l~=l an - l z.

Now, since |an| ≤ M for all n, we have:

|an - z| ≤ |an| + |z| ≤ M + c.

By choosing N such that M + c < ε, we can ensure that for all n > N and for all z with Re(z) ≤ c, the inequality |an - z| < ε holds.

Now, using the triangle inequality, we have:

|l~=l an - z| ≤ |an - z|.

Since we have shown that |an - z| < ε for n > N and Re(z) ≤ c, it follows that |l~=l an - z| < ε for n > N and Re(z) ≤ c.

Therefore, we have established that the series l~=l an - z converges uniformly for Re(z) ≤ c.

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Answer:

C

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

rate of change = slope

y2 - y1      85 - 67       9

---------- = ------------ = ------- =  9

x2 - x1      34 - 25       1

The percentage of adult spiders that have carapace lengths exceeding a certain value is equal to the area under the standard normal curve that lies to the right of that value.

This is because the normal distribution is symmetric around its mean, and the area to the right of a certain value represents the proportion of data points that are greater than that value. Therefore, by calculating the area under the standard normal curve to the right of a certain value, we can determine the percentage of adult spiders with carapace lengths exceeding that value.

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The value of DE is 6

Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent.

The ratio of corresponding sides of similar triangles are similar. For two triangles to be similar the corresponding angles must be equal.

Therefore;

represent DE by x

x/9 = 12/18

18x = 12 × 9

18x = 108

x = 108/18

x = 6

Therefore the value of DE is 6

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To transform constraint #3 from a hard to a soft constraint is option B: 3,000X2 + d3+ - d3- < 10,000.

To transform a hard constraint into a soft constraint, we introduce slack variables and add them to the objective function with suitable weights. The slack variables allow the objective function to penalize deviations from the hard constraint.

In this case, the third constraint is a hard constraint. We can transform it into a soft constraint by introducing a slack variable d3:

3,000 X2 + d3 = 10,000

Then, we can add the slack variable to the objective function with a suitable weight, say w3:

Min: 2X1 + 2X2 + X3 + w3 d3

The weight w3 represents the cost of violating the hard constraint. A higher weight indicates a higher cost, and the optimizer will try to minimize the violation of the constraint.

Therefore, the correct way to transform constraint #3 from a hard to a soft constraint is option B:

3,000X2 + d3+ - d3- < 10,000

where d3+ and d3- are positive and negative slack variables, respectively, and w3 = M (a large positive number).

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Answer:

f ( x ) = 15

Step-by-step explanation:

Step 1:

f ( x ) = 5 ( 2 - x )          Function

Step 2:

f ( - 1 )          Given

Step 3:

f ( x ) = 5 ( 2 - ( - 1 ) )          Input x

Step 4:

f ( x ) = 5 ( 3 )          Combine Like Terms

Answer:

f ( x ) = 15

Hope This Helps :)

Answer:

15

Step-by-step explanation:

Since there is a -1 in place of the x, that means for every x value, x = the number in place of the x, so in this case every x would equal -1.

f(x) = 5(2-x)

f(-1) = 5(2+1)

f(-1) = 5(3)

f(-1) = 15

Answer:

There Will be one cookie left.

Step-by-step explanation:

She is wrong Becuase if you eat 4 cookies there is two left. So if you put it on 5 there would only be 1 left.

Answer:

B. 2 x 6

Step-by-step explanation:

The expression doesn't have an equal sign, so C and D is wrong.

So, the correct answer is B

B is correct answer.

hope this helps! do mark me brainliest if you can tho <3

Answer:

if they wanted to achive their goals they could maybe go to a resturaun t and ytalk to a chef for some tips. Then the person could practice at home or wherever else and imporve their skills. Finally if they make mistakes you caould ask somebody you know to help you.

Answer:

17

Step-by-step explanation:

you multiply 5 and x and you get 15 plus 2 equals 17

Step-by-step explanation:

270°/360° ×π×13²

Area of sector=398.20

Answer:

You know what :)

Step-by-step explanation:

I feel bad so if you ever need help you can ask me! :)

Answer:

hi yaar, mai hu indian

nice too meet you

my name Ankit kumar

any doubt

The primary eight candles or oil lamps must be on a plane that is higher or lower than the shamash.

A nine-branched candelabrum known as a Hanukkah menorah, also known as a hanukkiah, is lighted during the eight-day Jewish festival of Hanukkah. Eight of the nine branches are held up by lights (candles or oil lamps), which stand throughout the eight nights of the festival. One additional light is lighted each night until all eight branches are illuminated on the last night. The candle on the ninth branch, known as the shamash (Arabic for "helper" or "servant"), is used to light the other eight branches.

The seven-branched menorah used in the first Temple in Jerusalem is commemorated by the Hanukkah menorah, which is separate from it. It's one of the most commonly manufactured pieces of Jewish ritual art, along with the Star of David and the menorah with seven branches.

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So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

Given

r= 2cost and theta = 9t

To Find

the velocity and acceleration vector

Solution

We can start by expressing the position vector r in terms of the Cartesian coordinates x and y:

x = r cos(theta) = 2cos(t)

y = r sin(theta) = 2sin(t)

To find the velocity vector, we can take the time derivative of the position vector:

v = (dx/dt) i + (dy/dt) j

where i and j are the unit vectors in the x and y directions, respectively.

Taking the derivatives:

dx/dt = -2sin(t)

dy/dt = 2cos(t)

Substituting these back into the velocity vector equation:

v = (-2sin(t)) i + (2cos(t)) j

To find the acceleration vector, we can take the time derivative of the velocity vector:

a = (d^2x/dt^2) i + (d^2y/dt^2) j

Taking the derivatives:

d^2x/dt^2 = -2cos(t)

d^2y/dt^2 = -2sin(t)

Substituting these back into the acceleration vector equation:

a = (-2cos(t)) i + (-2sin(t)) j

So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

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The correct answer is option A which is y = 25x + 100.

Given the following:

To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month

We need to write an equation for the cost (y) based on the number of months.

To solve the above problem, the answer is;a. y = 25x + 100

Explanation; Let's break down the problem

The $100 sign-up fee is a fixed cost that is added only once to the monthly fee which is $25. Thus the equation for the cost (y) based on the number of months can be expressed as; y = 25x + 100 where:y is the cost for the number of monthsx is the number of months

Therefore the correct answer is option A which is;y = 25x + 100.

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To join a local square dancing group,

Jan has to pay a $100 sign-up fee plus $25 per month.

The equation for the cost (y) based on the number of months is

y = 25x + 100,

where x is the number of months.

Option A is the correct equation for the cost based on the number of months.

Writing the equation:

y = 25x + 100

Where:

y = Cost based on the number of months

x = Number of months

Therefore, when Jan has been part of the local square dancing group for 1 month, the total cost will be:

$25 * 1 + $100 = $125

And if Jan has been a part of the group for 4 months, then the total cost would be:

$25 * 4 + $100 = $200

Therefore, option A is the correct answer.

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The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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Answer:

$840.5

Step-by-step explanation:

x=800\((1.025)^{2}\)

x=840.5

both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.

China is using the comparative advantage perspective in regards to not trading silk with Germany in exchange for automobiles. According to the theory of comparative advantage, a country should specialize in producing and exporting the goods or services that they can produce more efficiently or at a lower opportunity cost compared to other goods and services.

In this case, China has a comparative advantage in producing silk and a comparative disadvantage in producing automobiles compared to Germany, which has a comparative advantage in producing automobiles and a comparative disadvantage in producing silk.

Hence, both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.

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Answer:

The independent quantity in the situation is the length of the diameter.

Step-by-step explanation:

Consider a relationship between two variables.

Of the two variables one variable is dependent upon the other.

Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variable values are changed.

Independent variables are the variables that are being altered to see a proportionate change in the dependent variable.

In this case, it is provided that Grissom knows there is a relationship between the volume of the sphere and the length of its diameter.

With every sphere that Grissom draws, the volume of the sphere changes according to its diameter length.

That is the volume of the sphere depends upon the length of its diameter.

Thus, the independent quantity in the situation is the length of the diameter.

zw in polar form is zw = 24√2(cos(75°) + i*sin(75°)).

z/w in polar form is z/w = (4√2/3)(cos(-15°) + i*sin(-15°)).

1/z in polar form is 1/z = (1/8)(cos(-30°) + i*sin(-30°)).

Now that we have z and w in polar form, we can find the polar forms for the products and reciprocal of these complex numbers.

Product (zw): To multiply two complex numbers in polar form, we multiply their magnitudes and add their arguments. Applying this to z and w, we have: zw = 8(cos(30°) + isin(30°)) * 3√2(cos(45°) + isin(45°))

Multiplying the magnitudes: |zw| = 8 * 3√2 = 24√2

Adding the arguments: θzw = 30° + 45° = 75 degrees

Therefore, zw in polar form is zw = 24√2(cos(75°) + i*sin(75°)).

Division (z/w): To divide two complex numbers in polar form, we divide their magnitudes and subtract their arguments. Applying this to z and w, we have: z/w = 8(cos(30°) + isin(30°)) / 3√2(cos(45°) + isin(45°))

Dividing the magnitudes: |z/w| = 8 / (3√2) = 8 / 3√2 = 8 / (3 * √(2)) = (8 / 3) * (1 / √(2)) = (8 / 3) * (√(2) / 2) = (4√2) / 3

Subtracting the arguments: θz/w = 30° - 45° = -15 degrees

Thus, z/w in polar form is z/w = (4√2/3)(cos(-15°) + i*sin(-15°)).

Reciprocal (1/z): To find the reciprocal of a complex number in polar form, we take the reciprocal of its magnitude and negate its argument. Applying this to z, we have: 1/z = 1 / [8(cos(30°) + i*sin(30°))]

Taking the reciprocal of the magnitude: |1/z| = 1 / 8 = 1/8

Negating the argument: θ1/z = -30°

Hence the 1/z in polar form is 1/z = (1/8)(cos(-30°) + i*sin(-30°)).

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Given:

Coyotes pay their aging kicker $725,000 a year.

He agrees to a 15% pay cut.

To find:

His new salary.

Solution:

Annual salary before pay cut = $725,000

Annual salary after pay cut = \(725,000-\dfrac{15}{100}\times 725,000\)

                                             \(=725,000-15\times 7250\)

                                             \(=725,000-108,750\)

                                             \(=616,250\)

So, monthly new income is

\(\dfrac{616,250}{12}\approx 51354.167\)

Therefore, his new salary is $51,354.167 per month.

Answer:

616,250

Step-by-step explanation:

15 percent of 752,000 is 108,750.

752,000 minus 108,750 is 616,250.

Thats your answer

Answer:

12

Step-by-step explanation:

5^2 + b^2 = 13^2

25 + b^2 = 169

169-25= 144

take the square root of 144

answer: 12

Answer:

(4,-2)

Step-by-step explanation:

To find units from a point, you count by integers. So your x coordinate is -1. Add 5 and you arrive at 4. Your y coordinate has not changed, so the point is now at (4,-2)

Answer: 2 − 1 c 2 − 1 0 + 1 0

Step-by-step explanation: tysm for brainliest, gl!

Answer:

3rd option

38, 45, 80, 210, 360

Step-by-step explanation:

The correct order from least to greatest for your options is л 7л < 38° < 4 < 80° < 6 < 2x, the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The options A,B,C and D

Now,

To order numbers and angles from least to greatest, you need to compare their values and arrange them in ascending order. For numbers, you can use a calculator1 or a number sorter2 to help you. For angles, you need to measure their size in degrees using a protractor3 and then classify them as acute (< 90°), right (= 90°), obtuse (> 90°) or reflex (> 180°) angles4. The smallest angle is an acute angle and the largest angle is a reflex angle.

Therefore, by algebra the answer will be л 7л < 38° < 4 < 80° < 6 < 2x

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Answer:

3.14 cube .yd

Step-by-step explanation:

Volume of cylinder= πr^2h

Answer:

D

Step-by-step explanation:

Here, we want to get the equation of the line perpendicular to;

y = -3x + 2

From here, we can compare with the standard form of the equation of a straight line which is;

y = mx + c

From here m = -3

The slope is -3

Now, if two lines are perpendicular, the product of their slopes is -1

Thus;

-3 * m = -1

m = 1/3

So we want to select an equation out of the options that has a slope of 1/3

Let us take a look at the last option

x -3y = 3

3y = x-3

divide through by 3

y = x/3-1

So here the coefficient of x is 1/3 which is the slope of the perpendicular line that we are looking for and is our slope