In each case, write the principal part of the function at its isolated singular points and determine whether that point is a removable singular point, an essential singular point or a pole (please also determine the order m for a pole). Then calculate the residue of the corresponding singular point. a) ( nett for isolatod singular point = = -1 b) (x - 1)2022 exp(-) for isolated singular point = 1.

Answer: t=p

Step-by-step explanation:

t=P

Because if is true

The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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Answer:

620 cm²

Step-by-step explanation:

First I'll describe the net. There are 3 rectangles and 2 triangles. The triangles are identical and 2 out 3 of the rectangles are the same.

So, we know that the two similar rectangles have measurements of 13cm x 10cm. So, that's 130 cm² for one such rectangle. Add the other one and we get 260 cm².

The bottom rectangle has dimensions of 10cm x 24 cm, or 240 cm². Add that to our previous total and we'll get 500 cm².

On to the triangles. Now, we know that 1. these are isosceles triangles, and 2. they have a height of 5 cm. We can pretend to cut them in half at their highest point, which would give us 4 triangles with height 5 and length 12. Now, if you put two identical triangles together, it's a four-sided shape, and you can just multiply length by width. Let's do that.

Now we have 2 rectangles, each with width 5 and length 12. Calculate the area for each, and now we have 2 rectangles with area 60 cm². Add them together....120cm².

Add that to our previous total, and we'll get 620 cm². That should be the surface area of your prism :D

Answer:

17b + bx + a over 34 =x

Answer:

Shoot I don't know but this is as far as I got until I got confused.

Step-by-step explanation:

17b + bx = 24x - a

-17b        =   - 17b

-24x       =   -24x

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

-24x + bx = -17b - a

-24x + bx/b = -17b/b - a/b

-24x + x = -17b - a/b

-23x = -17b - a/b

-23x/-23 = -17b/-23 - a/b/-23

x =

The transformation of the rectangles ABCD and ABCD is for the 90-degree clockwise rotation about the origin and a translation of 7 units down.

Here the transformed rectangle is  the result of two steps, including the steps of  rotation and  translation from the x-y axis, near the origin.

Here change is in such a way that,  the first rotation is a 90 clockwise rotation about the origin, where the vertex c is near to the origin,  again there is a translation of 7 units down, considering the rotated rectangle As A'B'C'D'. here the proper explanation of the process is shown in the image attached.

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The probability of landing on Deep Space Transmitter is 2 out of 16 spins, or 2/16, which simplifies to 1/8 or 12.5%.

Based on the data, the probability of landing on Deep Space Transmitter is 2 out of 16 spins, or 2/16, which simplifies to 1/8 or 12.5%.

Probability is a numerical value, ranging from 0 to 1, assigned in the delineation of the likelihood of an event happening.

A 0 mark portrays that an incident is inconceivable, while a 1 proposes that it will certainly arise. In order to measure probability, one must split the favored outcomes by the sum total of prospective happenings in given circumstances.

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Kimberly just got a new board game, Adventures in Space. Each player is gl

eship to start. When players land on a square with a picture of a rocket, they spin the

her and get a special part to put onto their spaceship. The spinner is divided into six

qual sections. Before the game starts, Kimberly spins the spinner 16 times to see what

gets.

Escape pod = 2 times

Asteroid shield = 1 time

Teleport pad = 3 times

Turbo boost button = 4 times

Deep space transmitter = 2 times

Antimatter generator = 4 times

based on the data, what is the probability of the transmitter landing on deep space transmitter

Answer:

OOOOOOOOHHH SHUTE BROTHER SORRY WISHED I COULD HELP but im blonde so sowwy

Principle of mathematical induction, the statement holds for all integers n ≥ 1 .we have proved that bn = 2n + 1 for each integer n ≥ 1.

Base case

Let's first check if the statement holds for the base case n = 1.

When n = 1, we have b1 = 3. And indeed, 2^1 + 1 = 3. So, the statement holds for the base case.

Inductive step

Assume that the statement holds for some integer k, i.e., assume that bk = 2k + 1.

Now, let's prove that the statement holds for k + 1, i.e., we need to show that b(k+1) = 2(k+1) + 1.

Using the given recursive definition of the sequence, we have:

b(k+1) = 3b(k) - 3b(k-1) - 25(k+1-2)

= 3(2k + 1) - 3(2(k-1) + 1) - 25k

= 6k + 3 - 6k + 3 - 25k

= -19k + 6

= 2(k+1) + 1

So, the statement holds for k + 1.

By the principle of mathematical induction, the statement holds for all integers n ≥ 1.

Therefore, we have proved that bn = 2n + 1 for each integer n ≥ 1.

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Answer:

8x8 > 9x7 (64 > 63)

Step-by-step explanation:

Answer:

24×36×5=4,320

4,320÷6=720

Answer:

I don't understand your question.

Answer:

0.06944444444 as a fraction equals 6944444444/100000000000

Answer:

yeah ur right lol

Step-by-step explanation:

Answer:

yes it's but I am not good at it but also

according to me that correct

Answer:

Let's call the number of packs of skimmed milk "S" and the number of packs of full cream milk "F".

We know that the total number of packs of milk is 1350:

F + L + S = 1350

We also know that there are 150 more packs of skimmed milk than low fat milk:

S = L + 150

And we know that there are 465 packs of low fat milk:

L = 465

We can substitute L=465 into the equation S=L+150 to get:

S = 465 + 150 = 615

Now we can use the first equation to solve for F:

F + L + S = 1350

F + 465 + 615 = 1350

F = 270

Therefore, there are 270 packs of full cream milk.

Based on our analysis, the median remains the same, but the mean is increased. So, the correct answer is (C).

To answer this question, let's consider the impact of the correction on the mean and median separately.

1. Mean: The mean is the sum of all values divided by the number of values. The original mean was calculated as follows:
(Σx)/99 = 24
Σx = 24 * 99

When we correct the maximum value from 40 to 50, the sum of all values changes:
New Σx = (24 * 99) - 40 + 50
New mean = (New Σx) / 99
Since the new sum is greater than the original sum, the new mean will be greater than the original mean.

2. Median: The median is the middle value in a sorted data set. Given that the sample has 99 values and the median was 24.5, it indicates that there are 49 values below 24.5 and 49 above it. The erroneous value (40) must have been one of the 49 values above the median. Correcting it to 50 will not change the position of the median, as it will still have 49 values below and 49 above it. Thus, the median remains the same.

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Answer:

Both lines are perpendicular

Step-by-step explanation:

We want to determine the relationship between the two lines.

The best thing to do is to calculate the slope of the two lines;

Mathematically;

Slope = y2-y1/x2-x1

For PQ; slope will be;

(-3-17)/(1-(-4) =-20/5 = -4

For RS

slope = (4-3)/(-5-(-9)) = 1/4

Now we have -4 and 1/4 as slopes

The product of both is 1/4 * -4 = -1

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

We can conclude that both lines are perpendicular to one another

Answer:

\(m<-\frac{185}{k};\quad \:k>0\)

Step-by-step explanation:

\(-mk-110>75\\\\\mathrm{Add\:}110\mathrm{\:to\:both\:sides}\\\\-mk-110+110>75+110\\\\Simplify\\\\-mk>185\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-mk\right)\left(-1\right)<185\left(-1\right)\\\\Simplify\\\\mk<-185\\\\\mathrm{Divide\:both\:sides\:by\:}k;\quad \:k>0\\\\\frac{mk}{k}<\frac{-185}{k};\quad \:k>0\\\\Simplify\\\\m<-\frac{185}{k};\quad \:k>0\)

Answer:

D.(1,-2)

Step-by-step explanation:

y= -3x+1

when x=1

y= -3*1 +1

y=-3+1

so

y=-2

Answer:

if the teacher buys 4 packa of markers and 3 packs of pens she would have the same amount

False. Mendel's findings did lend support to the independent assortment idea.

Mendel's tests with pea plants demonstrated that the inheritance of one feature has no effect on the inheritance of another. The inheritance of seed color, for example, had no effect on the inheritance of seed form. This is known as the independent assortment principle.

Mendel's findings on the inheritance of two qualities at the same time confirmed this idea, as he discovered that the two features were inherited independently of each other. This supported the independent assortment hypothesis, which claims that various genes assort independently of one another during gamete production. Mendel's work with pea plants established the contemporary knowledge of genetics.

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The ratio of the related flanks is not identical. Then the triangles are not similar.

A triangle has three sides which are straight lines. The aggregation of the interior angle of the triangle is 180°.

If two triangles are equivalent, the ratio of the matching sides will not change.

The ratio is given as,

AE / EC = FA / FB

9 / 3 = 10 / 5

3 ≠ 2

The ratio of the related flanks is not identical. Then the triangles are not similar.

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The complete question is given below.

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(3\sqrt{20} + 4\sqrt{5}\)

1st: Split up the numbers under the radical into possible factors.

\(3\sqrt{5*4} + 4\sqrt{5}\)

2nd: Take out the perfect square (in this case 4)

\(3*2\sqrt{5} + 4\sqrt{5}\)

3rd: simplify

\(6\sqrt{5} + 4\sqrt{5}\)

4th: Combine like terms

\(10\sqrt{5}\)

Answer:

\(\sf 10\sqrt{5}\)

Step-by-step explanation:

      Prime factorize 20 and simplify 3√20

\(\sf 3\sqrt{20} = 3\sqrt{2*2*5}=3*2*\sqrt{5}=6\sqrt{5}\)

\(\sf 3\sqrt{20}+4\sqrt{5}=6\sqrt{5}+4\sqrt{5}\)

                   \(\sf = 10\sqrt{5}\)

The butterfly spread is constructed using the following three calls: - Buy 1 call with an exercise price of 120 at a price of $15.40.- Sell 2 calls with an exercise price of 125 at a price of $13.50 each.- Buy 1 call with an exercise price of 130 at a price of $11.35.


A butterfly spread involves buying one option with a lower exercise price, selling two options with a middle exercise price, and buying one option with a higher exercise price. In this case, we buy the call with an exercise price of 120, sell two calls with an exercise price of 125, and buy the call with an exercise price of 130.

To analyze the strategy, we need to consider the stock price at expiration. The breakeven stock prices are calculated by adding and subtracting the net debit or credit from the middle exercise price. In this case, the net debit is $1.60 ($15.40 – 2*$13.50 + $11.35), so the breakeven prices are $121.40 ($125 - $1.60) and $128.60 ($125 + $1.60).

The maximum profit of $1.60 occurs when the stock price is exactly at the middle exercise price of 125 at expiration. In this case, the two sold calls expire worthless, and the two bought calls have intrinsic value of $5 each. The minimum profit of -$1.40 occurs when the stock price is below $121.40 or above $128.60 at expiration. In this situation, all the options expire worthless, resulting in a loss of the net debit.

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After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

45 degrees

Step-by-step explanation:

As ABCD is a rhombus, all four sides are congruent. Therefore, angle CBD is equal to angle ABD. Since the sum of the angles in a triangle is 180 degrees, the measure of angle ABD plus the measure of angle ADB plus measure of angle CBD equals 180 degrees. Since angle ABD and angle ADB are congruent and add up to 90 degrees, then each angle is (180-90)/2 = 45 degrees. So the measure of angle CBD is also 45 degrees.

False. An n × n matrix that is orthogonally diagonalizable does not necessarily have to be symmetric. A matrix is said to be orthogonally diagonalizable if it can be expressed as PDP^T, where P is an orthogonal matrix and D is a diagonal matrix.

For a matrix to be symmetric, it must satisfy the condition A = A^T, where A^T denotes the transpose of A. While it is true that symmetric matrices are always orthogonally diagonalizable, the converse is not necessarily true. There exist non-symmetric matrices that can still be orthogonally diagonalized. An example of such a matrix is the following:

  [1  2]

A = [3 4]

This matrix is not symmetric, as A^T is:

  [1  3]

A^T = [2 4]

However, it is still orthogonally diagonalizable. The matrix A can be diagonalized as:

A = PDP^T, where P = [0.8507 -0.5257]

[0.5257 0.8507]

          and D = [-0.3723   0     ]

                    [ 0      5.3723]

Therefore, it is not necessary for an n × n matrix that is orthogonally diagonalizable to be symmetric.

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Answer:

40 people

Step-by-step explanation:

Step one:

given data

let the total number of persons be x

There are 28 women

The number of men = 30% of x

Step two:

So the total person is given as

30/100*x+28= x

solve for x

0.3x+28= x

collect like terms

x-0.3x= 28

0.7x= 28

divide both sides by 0.7

x= 28/0.7

x= 40 people

The volume of the cylinder is V ≈ 12,706.64 cubic feet.

The cylinder's volume can be calculated using the formula V = πr²h, where V is the volume, r is the radius, h is the height, and π is the value of pi approximately equal to 3.14.Given that the cylinder has a height of 14 feet and a radius of 17 feet, we can substitute these values into the formula to find the volume: V = πr²hV = 3.14 × 17² × 14V ≈ 3.14 × 289 × 14V ≈ 12706.64Therefore, the cylinder's volume is approximately 12,706.64 cubic feet (rounded to the nearest hundredth and with the given value of π).

A cylinder is a three-dimensional shape with two identical circular faces and a curved surface. To calculate the volume of a cylinder, we use the formula V = πr²h, where V is the volume, r is the radius of the circular face, h is the height of the cylinder, and π is the mathematical constant. Given a cylinder with a radius of 17 feet and a height of 14 feet, we substitute these values into the formula and obtain V = 3.14 x 17² x 14. Therefore, the volume of the cylinder is V ≈ 12,706.64 cubic feet. We round the answer to the nearest hundredth, as specified.

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