Use MATLAB to plot the following sequences from n = 0 to n = 50, discuss and explain their patterns: x[n] = cos(pi/2 n) x[n] = cos(5 pi/2 n) x[n] = cos(pi n) x[n] = cos(0.2n) x[n] = 0.8^n cos(pi/5 n) x[n] = 1.1^n cos(pi/5 n) x[n] = cos(pi/5 n) cos(pi/25 n) x[n] = cos(pi/100 n^2) x[n] = cos^2 (pi/5 n)

Answers

Answer 1

x[n] = cos(pi/5 n) cos(pi/25 n): This sequence is a product of two cosine waves with frequencies of pi/5 and pi/25, respectively. The resulting wave has a period of 25 and a more complex shape

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.

x[n] = cos(pi/2 n): This is a cosine wave with a period of 4 (i.e., it repeats every 4 samples). The amplitude is 1, and the wave is shifted by 90 degrees to the right (i.e., it starts at a maximum).

x[n] = cos(5 pi/2 n): This is also a cosine wave with a period of 4, but it has a phase shift of 180 degrees (i.e., it starts at a minimum).

x[n] = cos(pi n): This is a cosine wave with a period of 2, and it alternates between positive and negative values.

x[n] = cos(0.2n): This is a cosine wave with a very long period

(50/0.2 = 250), and it oscillates slowly between positive and negative values.

x[n] = [tex]0.8^n[/tex] cos(pi/5 n): This sequence is a damped cosine wave, where the amplitude decays exponentially with increasing n. The frequency of the cosine wave is pi/5, and the decay factor is 0.8.

x[n] = [tex]1.1^n[/tex] cos(pi/5 n): This sequence is also a damped cosine wave, but the amplitude increases exponentially with increasing n. The frequency and decay factor are the same as in the previous sequence.

x[n] = cos(pi/5 n) cos(pi/25 n): This sequence is a product of two cosine waves with frequencies of pi/5 and pi/25, respectively. The resulting wave has a period of 25 and a more complex shape.

To learn more about trigonometry from the given link:

https://brainly.com/question/29002217

#SPJ4


Related Questions

4 kilograms of almonds cost $34. how much does it cost for kilograms of almonds?

Answers

The cost of kilograms of almonds is $8.5 if 4 kilograms of almonds cost $34.

According to the questions,

4 kilograms of almonds cost $34. In order to find one kilograms of almonds  only if we divide 34 by 4.

= [tex]\frac{34}{4}[/tex] = 8.5

Hence, the cost of kilograms of almonds is $8.5 if 4 kilograms of almonds cost $34.

Learn more about kilograms here

https://brainly.com/question/16210757

#SPJ4

help me pleaseeeeeeee

Answers

Answer:

x = -4/3 or x = 3/2

Step-by-step explanation:

Let's solve your equation step-by-step.

6x^2−x−12=0

Step 1: Factor left side of equation.

(3x+4)(2x−3)=0

Step 2: Set factors equal to 0.

3x+4=0 or 2x−3=0

x = -4/3 or x = 3/2

Answer:

x = -4/3 or x = 3/2

How do you find the interior angle of a triangle given the external angle of 125°

Answers

Answer:

<x = 55 degrees

<y = 55 degrees

<z = 70 degrees

Step-by-step explanation:

The 125 degree angle and x are supplementary since they form a straight line, which means that their degrees add up to 180. To find x, the interior angle, we must subtract 125 from 180.

180 - 125 = 55

Angle x is 55 degrees. Since the sides opposite x and y are marked with lines, they are congruent, and since the sides are congruent, the angles must be, too. So, y is also 55 degrees.

Finally, the angles in any triangle add up to 180 degrees. To find z, we must subtract the values of x and y from 180.

180 - 55 - 55 = 70, so z is 70 degrees.

Brainliest, please :)

❄Hi there,

the external angle & the interior angle form a linear pair, which means, if you add these angles together, you'll arrive at 180°.

Using this knowledge let's set up an equation and find x:

[tex]\triangleright \ \sf{125+x=180}[/tex]. We let x be the desired angle.

[tex]\triangleright \ \sf{x=180-125=55}[/tex]

So the interior angle is [tex]\angle\sf{55}\textdegree[/tex].

The sixth grade band students are selling magazines to raise money for new instruments. As a reward for selling, the students earn points to spend on prizes. Each student gets 25 points to start with, and then they earn an additional 5 points for each magazine they sell. If m represents the number of magazines a student sells, write an expression to represent the total number of points the student has.

WRITER

Answers

Answer:

okay he's saying that each student gets 25 points to start with and then they get five more like 25 / 25 * 5 or like 25 + 5 or 25 - 5 like represent those numbers and like get the number or something like that

PLEASE HELP!!!!
Determine if the conclusion is valid. Give a thorough explanation of your answer.
D
B
Given: AB || DC, AD || BC, AB BC
Conclusion: ABCD is a rhombus.

Answers

Answer: Correct

Step-by-step explanation:

The conclusion is valid. Since [tex]\overline{AB} \parallel \overline{DC}[/tex] and [tex]\overline{AD} \parallel \overline{BC}[/tex], we know that ABCD is a parallelogram because it has two pairs of parallel sides. Also, since [tex]\overline{AB} \cong \overline{BC}[/tex], we know that ABCD is a parallelogram with a pair of consecutive congruent sides, making it a rhombus.

Which two statements would produce a tautology? (p q) (p q) (p q) (p q) q (p q) (p q) p

Answers

(p p) would produce Tautology.

Tautology:

It is needless repetition of an idea, statement, or word Rhetorical repetition, tautology ('always and for ever'), banal metaphor, and short paragraphs are part of the jargon.— Philip Howard. b : an instance of such repetition The phrase "a beginner who has just started" is a tautology.

A tautology is an expression or phrase that says the same thing twice, just in a different way. For this reason, tautology is usually undesirable, as it can make you sound wordier than you need to be and make you appear foolish.

Learn more about Tautology on:

https://brainly.com/question/14523081

#SPJ4

8. What do you know about triangles PDX and triangle CRX? Justify your answer.

Answers

If segment PD is parallel to segment CR then triangle PDX is similar to triangle CRX, due to angle PXD and angle CXR being congruent by the vertical angle theorem, and angle PDX and angle CRX being congruent by the alternate interior angle theorem, these 2 triangles are similar by the A.A similarity postulate.

Answer:

The triangles are Congruent for the same reason as the answer above

Step-by-step explanation:

The coordinates of a quadrilateral are (2,1), (-1,3), (-5,-3), and (-2,-5).
The quadrilateral is a because are parallel and since the product of the slopes of both pairs of segments is -1,

Answers

The quadrilateral is a parallelogram because both pairs of opposite sides are parallel and since the product of the slopes of both pairs of adjacent segments is -1, the quadrilateral is a rectangle

Answer:

The guy above is somewhat right.

Hope this helps!

Step-by-step explanation:

The quadrilateral is a rectangle.

To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm. Which inequality can be used to represent the lengths of the glass that will fit in the frame?

12 < x ≤ 12.2
12 > x ≤ 12.2
x > 12 or x ≤ 12.2
x < 12 or x ≤ 12.2

Answers

Considering the definition of an inequality, the inequality that expresses the previous relationship is 12 < x ≤ 12.2

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Inequality in this case

In this case, you know that to fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm.

It means that the length has to be strictly greater than 12 cm but less than or equal to 12.2 cm. In other words, length of frame must be longer than 12 cm means that x>12, while ength of frame not longer than 12.2 cm means x≤12.2

Finally, the inequality that expresses the previous relationship is

12 < x ≤ 12.2

Learn more about inequality:

brainly.com/question/4345175

brainly.com/question/1673645

#SPJ1

The average rainfall in inches in miami from january to may is 1.61, 2.24, 2.99 3.15 5.35 and 9.68 while it is 2.24 2.8 3.03 2.05 2.09 and 6.69 during the same period in tampa. which city gets more rain and how much more.

Answers

Miami gets 6.12 more inches of rainfall more than Tampa.

What is average rainfall?

The annual amount of precipitation that we anticipate is known as normal or typical rainfall (in a given area).

It is calculated and set by estimating the average (mean) of precipitation that has been observed in a region over a long period of time ( at least 30 years). The total amount of daily precipitation in a year is referred to as annual precipitation.

Calculation for the average rainfall-

The average rainfall (in inches) in Miami for 5 months are-

1.61, 2.24, 2.99, 3.15, 5.35, and 9.68,

Thus, the total rainfall in Miami in 5 months,

Total average rainfall = 1.61 +2.24 +2.99 +3.15 +5.35 + 9.68 = 25.02 inches

Similarly,

The average rainfall (in inches) in Tampa for 5 months are-

2.24, 2.8, 3.03, 2.05, 2.09, and 6.69.

Thus, the total rainfall in Tampa in 5 months,

Total average rainfall = 2.24 +2.8 +3.03 + 2.05 + 2.09 + 6.69 = 18.9 inches.

The difference between the total rainfall in Miami and Tampa is

25.02 - 18.9 = 6.12 inches

The total rainfall in Miami is 25.02 inches while the total rainfall in Tampa in the same time period is 18.9 inches.

Therefore, Miami gets 6.12 inches more rainfall during the same time period.

To know more about the annual rainfall graphs​, here

https://brainly.com/question/26690779

#SPJ4

A square has a side length of 10 inches. Congruent isosceles right triangles are cut off each corner so that the resulting octagon has equal side lengths. How many inches are in the length of one side of the octagon

Answers

The length of the side of the octagon is 4.142 inches.

We can find the length of the sides of the octagon as follows:

Let the length of the congruent sides of the isosceles triangle be x.

The hypotenuse of the triangle is given by:

√x+x = √2x

This is also the length of the sides of the octagon. It is given that the sides of the octagon are equal.

It is also given that the length of the square side is 10 inches.

This means that:

x + √2x + x = 10

2x + √2x = 10

(2 + √2)x = 10

(2 + 1.414)x = 10

3.414x = 10

x = 10/3.414

x = 2.929 inches.

The side of the octagon is given by:

√2 × 2.929 = 4.142 inches

Therefore, we have found that the length of the sides of the octagon is 4.142 inches.

Learn more about octagons here: https://brainly.com/question/358118

#SPJ4

what is the value of x

find the value of f​

Answers

Answer:

x = 20°

f = 40°

Step-by-step explanation:

4x + 5x = 180°

because a straight line is 180°

so 9x = 180°

1x = 180 ÷ 9

1x = 20

all angles in a triangle add together is 180°

so 7x + f = 180°

1x = 20

7x = 20 × 7

7x = 140°

f = 180° - 140 °

f = 40°

Answer:

x = 20 , f = 40

Step-by-step explanation:

4x and 5x are a linear pair and sum to 180° , then

4x + 5x = 180

9x = 180 ( divide both sides by 9 )

x = 20

then

5x = 5 × 20 = 100° and 3x = 3 × 20 = 60°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

5x is an exterior angle of the triangle , then

f + 3x = 5x , that is

f + 60 = 100 ( subtract 60 from both sides )

f = 40

Instructions: Find the missing length indicated.
400
144
X

Answers

The missing side of a right triangle x is 24 units.

How to find side of a right angle triangle?

A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.

The side x can be found using similar triangle ratios,

Hence,

x / 400 = 144 / x

cross multiply

x × x = 400 × 144

x² = 57600

square root both sides

√x² = √57600

x = 240

Therefore, the value of x in the right triangle is 240 units.

learn more on right triangle here: brainly.com/question/14324872

#SPJ1

I forgot how to do this, I need an explanation to find the answer

Answers

Answer:

23.53

Step-by-step explanation:

OK so we got sin 52°=0.8 and the cos 52°=0.6

but we need tan 52° because we don't want to spend our time on calculating hypothenuse so

[tex] \frac{ \sin(52) }{ \cos(52) } = 1.3 = \tan(52) [/tex]

so

[tex]1.3 = \frac{x}{18.1} = = = > x = 23.53[/tex]

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. The sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. Think about how each function is related to its reciprocal function.

How are the graphs of the reciprocal functions related to their corresponding original functions? What happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? Describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions.

Answers

The graphs of the reciprocal functions are related to their corresponding original functions based on the information illustrated below.

What are trigonometric functions?

It should be noted that the trigonometric functions are the real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

There are six functions of an angle. They are sine (sin), cosine (cos), tangent (tan), cotangent, secant, and cosecant (csc).

It should be noted that all the y-coordinates of a reciprocal function will be the reciprocals of the y-coordinates of the original function. Then, the graph of a reciprocal function has a vertical asymptote at each zero of the original function. For example, y=arcsinx reflects against y=sinx.

Learn more about trigonometry on:

https://brainly.com/question/24349828

#SPJ1

There are federal excise taxes on the retail price when purchasing fishing equipment. the taxes are intended to help pay for parks and conservation. what is the federal excise tax rate if there is an excise tax of $17.50 on a fishing rod and reel that has a retail price of $175?

Answers

Using proportions, it is found that the federal tax rate is of 10%.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The tax rate is the proportion that $17.50 is of $175, hence:

r = 17.50/175 = 0.1 = 10%.

The federal tax rate is of 10%.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The slope in the simplest form

Answers

Y=5/5x+ 5 or y=1 x + 5

From Andys house to Billys hometown you can travel by 3 roads. And to get from Billys hometown to Willies's house you can travel by 5 roads. How many possible wats are there to travel from andys house to willies house?

Answers

3 roada andy to billy

5 road billy to willies

3×5 =15 it's the answer 15

Pmlease helppp tyyyy

Answers

Answer:

Step-by-step explanation:

Solving quadratic equation using formula:

 5x² - 6x - 2 = 0

a = Coefficient of x² = 5

b = coefficient of x = -6

c = constant = -2

Discriminant = D = b² - 4ac

                           = (-6)² - 4 * 5 * (-2)

                           = 36 +  40

                           = 76  > 0

So, the quadratic equation has two distinct real roots.

[tex]\sf \boxed{\bf x = \dfrac{-b \± \sqrt{D}}{2a}}\\\\[/tex]

     [tex]\sf = \dfrac{-[-6] \± \sqrt{76}}{2*5}\\\\= \dfrac{6 \±8.7}{10}\\\\=\dfrac{6+8.7}{10} \ ; \ or \ x =\dfrac{6-8.7}{10}\\\\=\dfrac{14.7}{10} \ ; \ or \ x = \dfrac{-2.7}{10}[/tex]

x = 1.47  or x = -0.27

Answer: x = 1.5 or (-0.3)

b) x² + 3x = 40

x² + 3x - 40= 0

We can solve the quadratic equation using factor method.

Sum = 3

Product = -40

Factors = 8 , (-5)

 When we add, 8 + (-5) = 3 , we get 5and when we multiply 8 *(-5) = -40, we get -(-40).

Rewrite the middle term of the quadratic equation using the factors.

 x² + 8x - 5x - 40 = 0

x(x + 8) - 5(x + 8)= 0

 (x + 8) (x - 5)    = 0

 x + 8 = 0   or x - 5 = 0

     x = -8   or       x = 5

Answer : x = -8 , 5

The density of a certain material is such that it weighs 5 ounces per gallon of volume what is the density in pounds per cubic meter

Answers

The density in pounds per cubic meter is 83 pounds per cubic metre.

How to find density?

The density is mass of a unit volume of a material substance.

In other words, density is the ratio between mass and volume or mass per unit .

Therefore, density can be represented mathematically as follows:

density = mass / volume

Hence,

mass = 5 ounces

5 ounces = 0.3125 pounds

1 gallon = 0.00378541 pounds

Therefore,

density = 0.3125 / 0.00378541

density = 82.5538052681

density = 83 pounds per cubic metre.

learn more on density here: brainly.com/question/14324872

#SPJ1

Find the measure of the arc or angle indicated by the question mark.

Answers

Answer:

FP is 70 degrees 35 times 2 so PD is 180 half a turn minus 70 = 110 degrees

Step-by-step explanation:

Total area=
Help me please!! Thanks so much

Answers

110 is the area 11*10

A cruise line ship left Port A and traveled 90 miles due west and then 400 miles due north. At this point, the ship docked at Port B What is the shortest distance between Port A and Port B?

Answers

Answer:

410 Miles

Step-by-step explanation:

Please refer to the photo attached. (Apologies for the legitimately terrible drawing)

The Shortest Distance between any 2 points is the distance thats connects the 2 points directly.

In this case, we can use Pythgoras's Theorem to find AB which is the shortest distance between A and B.

By Pythagoras's Theorem,

[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {ab}^{2} = {ac}^{2} + {cb}^{2} \\ {ab}^{2} = {90}^{2} + {400}^{2} \\ab = \sqrt{ {90}^{2} + {400}^{2} } \\ = 410 \: miles[/tex]

8.8÷4=8, point, 8, divided by, 4, equals

\text{ tenths}\div 4 tenths÷4start text, space, t, e, n, t, h, s, end text, divided by, 4

8.8 \div 4 =8.8÷4=8, point, 8, divided by, 4, equals

\text{ tenths} tenthsstart text, space, t, e, n, t, h, s, end text

8.8 \div 4 =8.8÷4=8, point, 8, divided by, 4, equals

Answers

The results of the given task 8.8 ÷ 4 is 2.2.

Division of Decimal

8.8 ÷ 4

= 2.2

Therefore, 8.8 ÷ 4 = 2.2

Learn more about division:

https://brainly.com/question/1622425

#SPJ1

For 3, 5, Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.

Answers

triangle 3: thé SSS postulate.

If the price of gas started at $2.56 per gallon and increased at a rate of 4% per year, after how many years will the price of gasoline per gallon reach or exceed $5?
The price of gas is modeled by f(x) = 2.56(1.04)x.
Use logarithms to find the answer to the question.

Answers

Answer: 18 years

Work Shown:

[tex]f(\text{x}) = 2.56(1.04)^\text{x}\\\\5 = 2.56(1.04)^\text{x}\\\\5/2.56 = (1.04)^\text{x}\\\\1.953125 = (1.04)^\text{x}\\\\\log(1.953125) = \log(1.04^\text{x})\\\\\log(1.953125) = \text{x}*\log(1.04)\\\\\text{x} = \frac{\log(1.953125)}{\log(1.04)}\\\\\text{x} \approx 17.0682937693249\\\\[/tex]

The steps above show f(x) replaced with 5. Then you'd use logarithms to isolate the variable x. The relevant useful log rule is [tex]\log(A^B) = B\log(A)[/tex] so we can pull down the exponent.

From here it seems your teacher wants you to round up to the nearest integer.

If we plugged in x = 17, then f(x) = 4.99 which is one cent too small.

While x = 18 leads to f(x) = 5.19

Therefore, x = 18 has the price reach or exceed $5

Question 14 of 23
Which of the following describes a compound event?
OA. spinning a 3 on a spinner
OB. rolling a 3 on a die
OC. getting tails on a coin toss
OD. rolling a 5 on a die and drawing a 10 from a deck of cards
SUBMIT

Answers

Answer:

B

Step-by-step explanation:

In a 10-year period, Bakersfield, CA population grew from 558,000 to 718,000. What is the percentage of increase? (Round to the nearest tenth of a percent)

Answers

The percent increase to the nearest tenth is 22.2%

Calculating percent increase

Percent increase is the percent it takes from a value to change from its initial value

Given the following

Initial value = 558,000

Final value = 718,000.

Determine the percent increase

% increase = (718,000-558000)/718,000 * 100

% increase = 160000/718000 * 100

% increase = 22.2%

Hence the percent increase to the nearest tenth is 22.2%

Learn more on percent increase here: https://brainly.com/question/11360390

#SPJ1

Can some please help

Answers

Number of rooms left excluding a quarter of 140 is: 105 rooms.

What is a Quarter of a Number?

A quarter is one-fourth. A quarter of a number is therefore, one-fourth of that number or 1/4 part of the number.

Therefore, number of rooms cleaned = 1/4(140) = 35.

A quarter of the 140 rooms is: 35.

Number of rooms left for cleaning in the afternoon = 140 - 35

Number of rooms left for cleaning in the afternoon = 105 rooms.

Learn more about a quarter on:

https://brainly.com/question/334801

#SPJ1

ABC Corporation recently issued an IPO. Shortly thereafter it decides it wants to buy back some of its shares. What time frame restrictions would ABC face in order to buy back their own stock

Answers

The time restriction faced by ABC Corporation for it to buy back its newly issued shares is 4 weeks

What is share buyback?

Share buyback means that the company would repurchase its own shares in the stock market by paying investors holding the shares, then reduce its number of shares outstanding by the number of shares bought back.

The shares repurchased are known as Treasury stocks, which are held until the company decides to reissue them or cancel them.

The restriction placed on a company before it can repurchase its shares is that the shares must be in issue 4 weeks, in other words, the new issued shares through Initial Public Offer(IPO) must be existence for 4 weeks before being repurchased by the company after having issued an IPO.

Find out more about share buyback on:https://brainly.com/question/17008897

#SPJ1

Other Questions
how is 3 x 3/6 the same as 9 x 1/6 Which part of the poem does this excerpt show?the expositionthe rising actionthe falling actionthe resolution Use the volume formula to find the volume of the prism.A. 21 cubic unitsB. 27 cubic unitsC. 42 cubic unitsD. 9 cubic units what will A scale factor that is less than one produce A boy visiting New York City views the Empire State building from a point onthe ground, A, which is 940 feet from foot, C, of the building. The angle ofelevation of the top, B, of the building as seen by the boy is 53 degrees. Find theheight of the building to the nearest foot. Br uh dont even type I cant see the pic Solve both problems and show ur work Someone help me please . And I did not mean to click that answer . What is a limiting factor of a desert frog that requires rocks for shelter & insects for food?a. droughtb. scarcity of rocksc. abundance of insectsd. sheltere. rain What is (2, 4) and (5, 2) in point-slope formula to slope-intercept form For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).218 degreesa.1.21 units clockwisec.7.61 unitsb.3.80 unitsd.1.90 units is this sentence correct or not What is the y intercept of the line 5x-2y=10 All of these statements apply to effective decision makers except:A. They take risks based on intuition and gut feelingsB. They are flexible and resourceful C. They rely on personal scripts that help them manage how to act and reactD. They recognize that the same solution may not apply to similar situations umm pls help me ik how to do it but not sure on this specific one FINISH THE LYRICS BEFORE THIS GETS DELETED-STANKY AND FISHY STANKY AND FISHY... The sum of the real numbers x and y is 25. Their difference is 13. What is the value of xy ? G. 100 H. 104 J. 114 K. 124 I need help with these 2 36 - 40. In order to save for her high school graduation, Marie decided to save P200 pesos at the end of each month. If thebank pays 0.250% compounded monthly, how much will her money be at the end of years? An adult and 5 children rent skates. It costs $4 per adult for skates and a total of$16.What is the equation? Which of the following is equivalent to sec x ?A)adj/opposteB)hypotenuse/adjacentC)hypotenuse/opposite