Find c, yenvelope(x,t), and ycarrier(x,t). express your answer in terms of a, k1, k2, x, t, ω1, and ω2. separate the three parts of your response with commas. recall that yenvelope (the second term) varies slowly whereas ycarrier (the third term) varies quickly. both yenvelope and ycarrier should be trigonometric functions of unit amplitude.

Answers

Answer 1

Answer:

\(C,Y_{envelope}(x,t), Y_{carrier}(x,t)=2A, \cos ((k_1-k_2)x/2-(\omega_1 -\omega_2)t / 2 ) , \sin ((k_1+k_2)x / 2 - (\omega_1 +\omega_2)t / 2 )\)

Step-by-step explanation:

Given

\(Y_1(x,t)=A \sin(K_1x- \omega _1 t)\\\\Y_2(x,t)=A \sin(K_2x- \omega _2 t)\)

using a trigonometrical identity

sin p + sin q = 2 sin ( p+q/2) cos ( p-q/2)

and here the condition is

the choice is in between sinax and cosax

where a > b

so we get using above equation

\(C,Y_{envelope}(x,t), Y_{carrier}(x,t)=2A, \cos ((k_1-k_2)x/2-(\omega_1 -\omega_2)t / 2 ) , \sin ((k_1+k_2)x / 2 - (\omega_1 +\omega_2)t / 2 )\)


Related Questions

what is the company's total contribution margin? begin by identifying the formula.

Answers

Total contribution margin is an accounting metric that evaluates how well a company's sales income covers its variable expenses. The company's total contribution margin can be found using the formula: Total Contribution Margin = Total Revenue - Total Variable Costs.

To calculate the total contribution margin, follow these steps:


1. Determine the total revenue: This is the amount of money the company makes from selling its products or services. You can find this by multiplying the selling price of each product by the number of units sold.

2. Determine the total variable costs: These are the costs that change depending on the level of production or sales. Examples of variable costs include raw materials, direct labor, and shipping costs. Calculate the variable cost for each product by multiplying the variable cost per unit by the number of units produced or sold.

3. Subtract the total variable costs from the total revenue to find the total contribution margin. This value represents the amount of money the company has remaining after covering its variable costs, which can be used to cover fixed costs and contribute to profit.

So, to calculate the company's total contribution margin, use the formula: Total Contribution Margin = Total Revenue - Total Variable Costs, and follow the steps above.

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HAPPY NEW YEAR EVERYONE. HERE IS TODAY'S OPTIONAL CHALLENGE
What is 1567238932 * 1456788345
Try to do this on paper and not with a calculator.
This is optional and if you decide to do it, good luck.

Answers

Answer:

This is a bit complicated, but the answer would be 2.28831354(v)x10(^)18, or otherwise known as 2283135409967847400.

Step-by-step explanation:

Answer:

D A N G uh,

Step-by-step explanation:

i dont think any person can physically do that

proof i tried ;-;

HAPPY NEW YEAR EVERYONE. HERE IS TODAY'S OPTIONAL CHALLENGEWhat is 1567238932 * 1456788345Try to do this
HAPPY NEW YEAR EVERYONE. HERE IS TODAY'S OPTIONAL CHALLENGEWhat is 1567238932 * 1456788345Try to do this

Your uncle wants to create a dog small enough to fit into a purse. Of the hundreds of dogs on his farm, he breeds only the smallest 10% of them. He then breeds only the smallest 10% of their offspring, and continues to breed only the smallest 10% of each generation. Over 20 years, he observes that his group of dogs did become smaller (though not small enough to fit into a purse). Which line of support does he have that his dogs have evolved?.

Answers

A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.

The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.

Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.

In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.

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a rectangle has dimensions 3 cm by 5cm. what happens to the perimeter if the width is doubled and if the length is double plus both width and length is double. What will happen to the perimeter?

all in the list please answer not in advance.



( please I nede to finish sooner!)

Answers

if the width is doubled, the perimeter increases by 10 cm, and if both the length and width are doubled, the perimeter increases by 16 cm.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees. Area of rectangle is A = a*b

The perimeter of a rectangle is the sum of the lengths of all four sides. The original rectangle has dimensions 3 cm by 5 cm, so its perimeter is:

P = 2(3 cm + 5 cm) = 16 cm

Now let's consider the effects of the changes to the dimensions:

If the width is doubled, the new dimensions are 3 cm by 2(5 cm) = 10 cm. The new perimeter is:

P' = 2(3 cm + 10 cm) = 26 cm

The perimeter is increased by 10 cm.

If the length is doubled and both the width and length are doubled, the new dimensions are 2(3 cm) = 6 cm by 2(5 cm) = 10 cm. The new perimeter is:

P'' = 2(6 cm + 10 cm) = 32 cm

The perimeter is increased by 16 cm.

Therefore, if the width is doubled, the perimeter increases by 10 cm, and if both the length and width are doubled, the perimeter increases by 16 cm.

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A number cube is tossed 60 times.


Outcome Frequency
1 12
2 13
3 11
4 6
5 10
6 8

Determine the experimental probability of landing on a number greater than 4.
17 over 60
18 over 60
24 over 60
42 over 60

Answers

The experimental probability of landing on a number greater than 4 is 18/60

Determining the experimental probability

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

Outcome Frequency

1 12

2 13

3 11

4 6

5 10

6 8

So, we have

Greater than 4 = 5 and 6

This gives

Frequency = 10 + 8

Frequency = 18

And we have

Total frequency = 60

The experimental probability of landing on a number greater than 4 is

Probability = 18/60

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Simplify this question

Simplify this question

Answers

\(4 + \sqrt{ - 16} \\ = 4 + \sqrt{ - 2 \times 2 \times 2 \times 2} \\ = 4 + 2\sqrt{ - 4} \\ = 2(2 + \sqrt{ - 4} )\)

Hope you could get an idea from here.

Doubt clarification - use comment section.

\(\\ \sf\longmapsto 4+√-16\)

\(\\ \sf\longmapsto 4+√16i\)

\(\\ \sf\longmapsto 4+4i\)

Take 4common

\(\\ \sf\longmapsto 4(1+i)\)

The coefficient of determination Group of answer choices cannot be negative is the square root of the coefficient of correlation is the same as the coefficient of correlation can be negative or positive

Answers

Answer:

Postive, The coefficient of determination is a measure of how well the regression line fits the data points. It represents the proportion of variation in the dependent variable that can be explained by the independent variable. The coefficient of determination ranges from 0 to 1, with higher values indicating a stronger relationship between the variables. Importantly, it cannot be negative.

The coefficient of determination is equal to the square of the coefficient of correlation, which measures the strength and direction of the linear relationship between two variables. However, unlike the coefficient of determination, the coefficient of correlation can be negative or positive. A negative value indicates an inverse relationship between the variables, while a positive value indicates a direct relationship.

The coefficient of determination, also known as R-squared, is a measure of how well the regression line fits the data. It represents the proportion of variation in the dependent variable that can be explained by the independent variable(s). R-squared ranges from 0 to 1, with higher values indicating a better fit. It cannot be negative, as it is a squared value. The square root of the coefficient of correlation is equal to the coefficient of determination. The coefficient of correlation can be negative or positive, indicating the direction of the relationship between the variables.

Hhjjfjfjdjdjdjdjjdnsnsnsn

Answers

Answer:

thanks for the point

have a great day

Answer:

hey ! my name is maniya k.. i am from Nepal

cnnbc recently reported that the mean annual cost of auto insurance is 1007 dollars. assume the standard deviation is 241 dollars. you take a simple random sample of 99 auto insurance policies. find the probability that a single randomly selected value is less than 971 dollars.

Answers

Using the normal distribution, the probability that a single randomly selected value is less than 971 dollars is 0.2123.

In the given question,

CNNBC recently reported that the mean annual cost of auto insurance is 1007 dollars.

The standard deviation is 241 dollars.

We take a simple random sample of 99 auto insurance policies.

We have to find the probability that a single randomly selected value is less than 971 dollars.

From the question,

Mean = 1107 dollars

Standard Deviation = 241 dollars

So the probability that a single randomly selected value is less than 971 dollars.

Using the normal distribution

z = (x−mean)/Standard Deviation

P(x<971) = P(z<(973−1107)/241)

Simplifying

P(x<971) = P(z<(−134)/241)

P(x<971) = P(z<−0.56)

P(x<971) = 0.2123

Hence, the probability that a single randomly selected value is less than 971 dollars is 0.2123.

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answer please image is below 35 points btw

answer please image is below 35 points btw

Answers

Vertical angles not sure for the second one

The ratio of a model car to a regular car is 1:16. The model is 2:35 inches long. What is the length of the actual car in feet and inches?

Answers

Answer:

27.26

Step-by-step explanation:

m = -1; (-2, – 3)

please helpppp

m = -1; (-2, 3)please helpppp

Answers

The answer is that 379-28..28

Which best describes the relationship between the lines with equations – 7x + 2y = 3 and
-6x + 3y = 2?

Which best describes the relationship between the lines with equations 7x + 2y = 3 and-6x + 3y = 2?

Answers

The association between the given lines is that they are 'neither perpendicular nor parallel.'

To prove, let's convert the given equations in their slope-intercept form i.e. 'y = mx + b'

-7x + 2y = 3

2y = 7x + 3

y = 7/2x + 3/2

-6x + 3y = 2

3y = 6x + 2

y = 2x + 2/3

This shows that both the lines have different slopes, as well as, intercepts of y. And,

\(m_{1} * m_{2}\) = 2 * 7/2 ≠ -1

Thus, it is not perpendicular also.

Therefore, option D i.e. 'neither perpendicular nor parallel' is the correct answer.

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I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult packages. After two weeks I spent 108 to donate six children packages and 4 adult packages. What is the price of each type of package

Answers

Answer:

Step-by-step explanation:

Let the price for children and adults package be represented with x and y respectively.

For the first week the sum of the package will be as follows:

3x+8y = 126

For the two weeks after:

6x+4y= 108

So, we will be having two equations

3x+8y = 126..... (1)

6x+4y= 108.......(2)

These are simultaneous equations

From equation 1

3x+8y = 126

3x = 126-8y

X = 126-8y/3 ............. (3)

Put equation 3 into 2

6 ( 126-8y)/3 +4y = 108

756-48y/3 +4y = 108

756-48y+12y/3 = 108

Cross multiplying

756-48y+12y= 108×3

756-48y+ 12y = 324

Collecting like terms

756-324 = 48y-12y

432= 36y

Divide both sides by 36

432/36 = 36y/36

y= 12

Substituting y into equation 1

3x+8= 126

3x+96=126

3x= 126-96

3x= 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Hence for each of the packages for children and adults. It will be 10 and 12 respectively.

If y varies directly with x and y=-16 when x=8, find y when x=2

Answers

Answer:

y=-4

Step-by-step explanation:

The answer is going to be -4 as when y=-16 x=8.

PLZ I NEED ANSWER ILL GIVE BRAINLIEST

PLZ I NEED ANSWER ILL GIVE BRAINLIEST

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 3 / 2 - (-1)

-6 / 3

= -2

y = -2x + b

3 = -2(-1) + b

3 = 2 + b

1 = b

Give examples of matrices A for which the number of solutions to Ax = b is (a) 0 or 1, depending on b. (b) [infinity], regardless of b. (c) 0 or [infinity], depending on b. (d) 1, regardless of b.

Answers

(a) An example of a matrix A for which the number of solutions to Ax = b is 0 or 1, depending on b, is a 2x2 matrix with either a nonzero determinant or a zero determinant and a nonzero nullspace.

(b) An example of a matrix A for which the number of solutions to Ax = b is ∞, regardless of b, is a matrix with a zero determinant and a nonzero nullspace.

(c) An example of a matrix A for which the number of solutions to Ax = b is 0 or ∞, depending on b, is a 2x2 matrix with a zero determinant and a nonzero nullspace.

(d) An example of a matrix A for which the number of solutions to Ax = b is 1, regardless of b, is a matrix with a nonzero determinant and a nullspace of zero.

If the determinant of A is nonzero, then there is only one solution to Ax = b, regardless of b.

This type of matrix is known as a singular matrix. The nullspace of such a matrix is nonempty, and since any vector in the nullspace is a solution to Ax = b, there are infinitely many solutions.

If the right hand side of the equation b is orthogonal to the nullspace of A, then the equation Ax = b has no solutions. However, if b lies in the nullspace of A, then the equation Ax = b has infinitely many solutions.

A matrix A for which solutions to Ax = b is 1, regardless of b, is a matrix with a nonzero and a nullspace of zero. This type of matrix is known as a nonsingular matrix, and in this case there is only one solution to Ax = b, regardless of the value of b.

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Which of the following series is a power series 1 representation of the function f(x) = - in the x+2 interval of convergence? O 1 1 -X 2 1 2 4 O 11 —— + 2 4 O O 1 nit 2

Answers

Among the given options, the power series representation of the function f(x) = -x/(x+2) with an interval of convergence can be identified as 1/(x+2).

A power series representation of a function is an infinite series in the form of Σ(aₙ(x-c)ⁿ), where aₙ represents the coefficients, c is the center of the series, and (x-c)ⁿ denotes the powers of (x-c). In this case, we are looking for the power series representation of the function f(x) = -x/(x+2) with an interval of convergence.

Analyzing the given options, we find that the power series representation 1/(x+2) matches the form required. It is a representation in the form of Σ(aₙ(x-c)ⁿ), where c = -2 and aₙ = 1 for all terms. The power series representation is valid in the interval of convergence where |x - c| < R, where R is the radius of convergence.

Therefore, among the given options, the power series representation 1/(x+2) is a representation of the function f(x) = -x/(x+2) with an interval of convergence.

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A right cylinder-shaped water ta is used to supply water to a reservoir. If the cylinder has a diameter of 16 feet and a height of 22 feet, what is a reasonable estimate of the maximum amount og water the tank can hold

Answers

Answer:

The tank can hold  4423.36 feet³ of water.

Step-by-step explanation:

Given that,

Height = 22 feet

Diameter = 16 feet

We need to calculate the maximum amount of water

Using formula of volume

\(V=\pi r^2h\)

Where, h = height of cylinder

r = radius of cylinder

Put the value into the formula

\(V=\pi\times(8)^2\times 22\)

\(V= 4423.36\ feet^3\)

Hence, The tank can hold  4423.36 feet³ of water.

Which expressions are equivalent to (5g+3h+4)•2?

Answers

Answer:

nc

Step-by-step explanation:

nc

In the year 2003, a person bought a new car for $13500. For each consecutive year after that, the value of the car depreciated by 7%. How much would the car be worth in the year 2005, to the nearest hundred dollars?

Answers

13500x0.07 = 945

945 x 2  = 1890

13500 - 1890 = 11610

To the nearest hundred dollars: 11,600

ANSWER: 11,600

the variables y and x have a proportional relatinship and y=9 when x=2 what is the value of y when x=30

Answers

The value of y for proportional relationship when x = 30 is y = 135.

What is proportional relationship?

Relationships among two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relation, one variable is consistently equal to the other's constant value.

A "constant of proportionality" is the name of this constant.

the importance of proportional relationship are-

Students' grasp of numerous areas in science and maths depends on their ability to use ratios and proportions. They play a crucial role in the development of slopes, uniform rate of change and other concepts and abilities that are essential to understanding and mastering algebra.

Calculation the for the value of y.

According to the question,

The variables y and x have a proportional relationship.

Where, y=9 when x=2

Thus,

y/x = 9/2

Cross multiplying the above result;

2y = 9x

The value of y when x = 30.

2y = 9×30

2y = 270

 y = 135

Therefore, the value of y when x=30 is 135.

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Twenty more than the number n is 125. What is the value of n?
145
125
105
20

Answers

Answer:

105

Step-by-step explanation:

n=105 as 20 more than 105 is 125. Hope it helps!

Answer:

105

Step-by-step explanation:

twenty more that the number n is 125 so n+20=125subtract twenty on both sides125–20=n125–20=105n=105

The wording is really word but I'm pretty sure this is correct

Find the greatest common factor for each problem.use the t-chart to slow?
16 and 40
Gcf:

Answers

The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

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At the local dairy farm, kareem buys a 32-oz container of yogurt for $2. 56. Jonah buys a 6-oz container of yogurt for $0. 48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? explain. Write an equation to represent this relationship.

Answers

Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

Given:

At the local dairy farm, kareem buys a 32-oz container of yogurt for $2. 56. Jonah buys a 6-oz container of yogurt for $0. 48.

y varies directly as x :

y = kx

k = constant of proportionality

y = 2.56 and x = 32

y = kx

k = y/x

= 2.56/32

k = 0.08

substitute k we get

y = 0.08x.

so x and y are directly proportional.

Therefore Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

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hi guys can u guys answer this question​

hi guys can u guys answer this question

Answers

Answer:

a= 77, b= 77, c= 103.

Step-by-step explanation:

a= 77 (vertically opposite)

b= a= 77 (corresponding angles)

c= 180-77

 = 103 (angles on a straight line)

24n³ + 30n² + 20n + 25

Answers

Answer:

(4n+5)(6n2+5)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

I factored it I don't know if that's what you wanted

Which equation represents a line that has a slope of 1/3 and passes through point (-2,1)?

Answers

Answer:

The equation would be y - 1 = 1/3(x + 2)

Step-by-step explanation:

In order to find this, we simply plug the values we have into point slope form.

y - y1 = m(x - x1)

y - 1 = 1/3(x - -2)

y - 1 = 1/3(x + 2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope = m = 1/3

(-2 , 1)

\(y - y_{1}= m(x - x_{1})\\y - 1 = \dfrac{1}{3}(x -[-2] )\\\\y - 1 = \dfrac{1}{3}(x + 2)\\\\y - 1 =\dfrac{1}{3}x + \dfrac{1}{3}*2\\\\y=\dfrac{1}{3}x+\dfrac{2}{3}+1\\\\y=\dfrac{1}{3}x +\dfrac{2}{3}+\dfrac{3}{3}\\\\y=\dfrac{1}{3}x +\dfrac{5}{3}\)

Which is equivalent to (15x2 + 3x – 6)-(15x2 + 3x + 6)?

Answers

Answer:

creo que es hay 15también eso yo pienso

find the value of x

find the value of x

Answers

Answer:

x = 3

Step-by-step explanation:

When chords intersect inside a circle, the product of the lengths of the two segments of one chord equals the same product of the other chord.

10x = 5 × 6

10x = 30

x = 30/10

x = 3

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US Government has used crowdsourcing initiatives since 2010 with the launching of Challenge.gov. Visit that website and choose one of the challenges listed there. Then, using your own word summarize the challenge (not just copy and paste). In your summary you will include the following: Brief description about what the challenge all about (problem to be addressed, objectives and others) The deadline The prize Government entity that posts the challenge Judging criteria (if any) URL Link to the challenge How have capital flows been affected due to the Covid-19 pandemic and the war in Ukraine? Conditionals often run on {} instructions.Aif / elseBif / thenCunless / untilDup to / at least please help, identify the correct kind of commandjust say the letter answer :)1. Tiren la basura!a. nosotros b. informal affirmativec. formal negatived. plural affirmative2. Trabajemos de voluntarios!a. nosotros b. informal affirmativec. formal negatived. plural affirmative wat does Raul mean when he says the following statement?You are more comfortable with myth than manA. People cannot always handle the truth, so they hide themselvesB. People will judge you all the time even if you are rich.C. If you are confident, you will always show your true self.D. People enjoy gossip because it is entertaining. PLEASE HELP WITH QUESTIONIn January, the ratio of the number of butterflies to the number of bees in a garden was 7 : 3. In February, the butterfly population decreased by 20% while the bee population increased by 30%.(a) What was the percentage change in the combined butterfly and bee population?(b) If there were 168 butterflies left in February, what was the butterfly population in January? What are Joe Bidens government principles/ American ideals referenced The average time a subscriber spends reading The Press-Republican Journal is 45 minutes. Assume the standard deviation is 15 minutes and that the times are normally distributed. What percentage of subscribers spend between 40 minutes and 70 minutes reading the journal? (Choose the closest answer)a. 0.5808 b. 0.3707 C. 0.4192 O d. 0.9515 in 2017 , sharjah unfurled the worlds largest flag measuring 70m in length and 35m in width.the flag broke the guiinness world record for the largest flag hoisted on a fixed flagpole . there are 4 colours that occupy almost the same area in the flag . based on the above information , how much area will the black part occupy why does health include sex education? HELP FAST WILL GIVE BRAINLIEST AND 5 STARS ALSO 30 POINTS!Select the correct answer.Which sequence of transformations proves that shape I is similar to shape II?A. a 90 counterclockwise rotation about the origin, and then a dilation by a scale factor of 2B. a reflection across the x-axis, and then a dilation by a scale factor of 3C. a reflection across the x-axis, and then a dilation by a scale factor of 2D. a 90 counterclockwise rotation about the origin, and then a dilation by a scale factor of 3 When an individual taxpayer sells depreciable real property used in a business for an amount that exceeds its original cost/original basis, how is the gain taxed the table shows the daily temperatures for a city what is the mean absolute deviation for this dataA) 2 B) 10 C) 70D) 71 What is -3(5x-1)=-27? 10. A vehicle averages 68 km/h. How many kilometres can the car travel in 3 hours? A student is a passenger in the front seat of a moving car. Which object is the BEST frame of reference for the student to determine how fast the car is moving relative to the ground?A) A signpost on the side of the roadB) A truck traveling in the lane next to the carC) The driver sitting next to the studentD) A person sitting in the backseat of the car Simplify the expression.-2 + 2/5b - 1/4b +6= What are the two different ways to say "you" in Spanish? First, practice your speech on your own. Consider practicing your speech for friends or family members. After that you must present the speech to your teachers or class. Keep the following instructions in mind when preparing for the speech:Be aware of the time limit of the presentation.Know and understand the material that is being delivered.Plan the delivery of every point in the speech.Create notecards to help you remember the important information.Also, consider the following practices when delivering a speech:Speak naturally, clearly, and loudly enough that everyone can hear you.Make eye contact with various people in the audience.Use hand gestures when you need to emphasize a point.Vary your tone and volume for emphasis.Stand straight but comfortably.Dress in a neat and presentable manner.Before delivering your speech to your chosen audience, practice delivering the speech in front of a mirror or a smaller audience such as close friends or family members. Then, you will deliver the speech to your chosen audience. You can also use an audio recording tool, to record your speech and submit an audio version of your speech to your teacher, if your teacher agrees. However, this is not mandatory. five phylogenetic trees of a group of algal species have been proposed. trees a and b each require 32 homoplasies, but tree a requires 40 synapomorphies and tree b requires 26 synapomorphies. tree c requires 20 homoplasies and 36 synapomorphies. tree d requires 24 homoplasies and 27 synapomorphies.tree e requires 29 homoplasies and 21 synapomorphies. according to the principle of parsimony, which is the best tree?