Use the following circle to find the indicated measure.

MK
is a diameter.

Find m ∠
LKM

Use The Following Circle To Find The Indicated Measure. MK Is A Diameter.Find M LKM

Answers

Answer 1

The answer of the given question based on finding the m∠LKM from the given circle the answer is the measure of ∠LKM is 140° degrees.

What is Diameter?

In geometry,  diameter of circle is  line segment that passes through  center of  circle and has both endpoints on circle. The diameter is the longest chord (line segment connecting two points on  circumference) of  circle. The length of  diameter is twice the length of radius, which is distance from the center of  circle to any point on  circumference.

The diameter i important property of a circle and is used to calculate other properties, like the circumference and area of the circle

Since MK is a diameter of the circle, it passes through the center of the circle, which we can label as point O. Therefore, ∠LKM is an inscribed angle that intercepts arc LM.

By the Inscribed Angle Theorem, we know that the measure of an inscribed angle is equal to half the measure of the arc that it intercepts. Therefore, to find the measure of ∠LKM, we need to find the measure of arc LM.

We are given that the measure of arc LK is 100° degrees. Since arc LM is the sum of arcs LK and KM, and MK is a diameter (so arc KM is also a semicircle with a measure of 180 degrees), we can write:

m(arc LM) = m(arc LK) + m(arc KM) = 100 + 180 = 280° degrees

Therefore, the measure of ∠LKM is:

m∠LKM = 1/2 * m(arc LM) = 1/2 * 280 = 140° degrees

So the measure of ∠LKM is 140° degrees.

To know more about  Inscribed Angle Theorem visit:

https://brainly.com/question/5436956

#SPJ1


Related Questions

cindy and tom, working together, can rake the yard in 8 hours. working alone, tom takes twice as long as cindy. how many hours does it take cindy to rake the yard alone?

Answers

Cindy and tom, working together, can rake the yard in 8 hours. Working alone, Tom takes twice as long as Cindy, it takes Cindy to rake the yard 2 hours

How do we calculate the time it takes Cindy?

To find the time it takes Cindy to rake the yard alone, let's use the following steps:Let x be the time taken by Cindy to rake the yard alone . Then the time taken by Tom to rake the yard alone will be 2xIt is given that Cindy and Tom can rake the yard in 8 hours when they work together.

Using the formula for working together, we get:[tex]\[\frac{1}{x} + \frac{1}{2x} = \frac{1}{8}\][/tex] Multiplying the equation by the least common multiple of the denominators, we get:[tex]\[16 + 8 = 2x\][/tex] Simplifying, we get:[tex]\[2x = 24\][/tex]Dividing both sides by 2, we get:[tex]\[x = 12\][/tex]Therefore, it takes Cindy 12 hours to rake the yard alone.

See more about calculating the working time at: https://brainly.com/question/20290932

#SPJ11

7 more than twice a number is 35.​

Answers

Answer:

Let's call the number "x".

Then, we can write the equation:

7 + 2x = 35

To solve for x, we need to isolate x on one side of the equation.

Subtracting 7 from both sides:

2x = 28

Dividing both sides by 2:

x = 14

Therefore, the number is 14.

Step-by-step explanation:

Which of the following are equations of straight lines? Select all that apply. Please keep in mind that for questions like this where there are one or more correct answers, Canvas will deduct points for incorrect selections. yhat = 23 + 4w yhat = 2c +34 yhat = 2h yhat= d2 + 3 yhat = 23r+ 4 yhat=2s + 3t yhat= 3

Answers

The equations of straight lines are \hat{y} = 2h, \hat{y} = 23r + 4 and \hat{y}= 2s + 3t. Option(A),(B) and (F) are correct.

A line in the coordinate plane can be described with the help of a linear equation, that is, an equation that has a first-degree expression, like y = 2x – 3.

There are many ways to put the equation of a line in the form y = mx + b,

where m is the slope and

b is the y-intercept,

but they all require the use of algebraic properties of equations, such as addition, subtraction, multiplication, division, and substitution.

The equations of straight lines among the following are:  \hat{y} = 2h,  \hat{y} = 23r + 4 and \hat{y}= 2s + 3t

Hence, the correct options are:Option A: \hat{y} = 2h , Option B: \hat{y} = 23r + 4  and Option F: \hat{y}= 2s + 3t.

To practice more questions about linear equations:

https://brainly.com/question/26310043

#SPJ11

a cup of hot coffee is placed outside where the temperature is 0, assume the coffee cools to approach the outside temperature according to an exponential decay model, if the continuous rate of cooling is determined to be 2 percent per minute and the current temperature of the coffee is 54.8 celsius how many minutes will the coffee cool to 44.9 Celsius

Answers

It will take approximately 27.7 minutes for the coffee to cool from 54.8°C to 44.9°C when following exponential decay model.

What is exponential decay?

A quantity declines over time proportionate to its existing value through a process known as exponential decay. An exponential function of the form f(t) = ab raised to t, where an is the beginning value, b is the decay factor (a number between 0 and 1), and t represents time, mathematically describes this.

Several real-world circumstances, like population increase, radioactive decay, and the loss of electrical charge in a capacitor, exhibit exponential decay.

Given that the situation follows a exponential decay model.

The exponential decay is given as:

[tex]T(t) = T0 * e^{(-rt)}[/tex]

Substituting the values T0 = 54.8, r = 0.02, and T(t) = 44.9.

[tex]44.9 = 54.8 * e^{(-0.02t)}\\0..8208 = e^{(-0.02t)}\\ln(0.8208) = -0.02t\\t = ln(0.8208)/(-0.02) = 27.7 minutes[/tex]

Hence, it will take approximately 27.7 minutes for the coffee to cool from 54.8°C to 44.9°C.

Learn more about exponential decay here:

https://brainly.com/question/13674608

#SPJ1

3. For eacht>0, suppose the number of guests arriving at a bank during the time interval[0,t)follows a Poisson(λt). a. Denote byXthe arrival time of the first guest. What is the distribution ofX? b. Denote byYthe arrival time of the second guest. What is the distribution ofY?

Answers

a. The distribution of the arrival time of the first guest X is exponential(λ). b. The distribution of arrival time of the second guest Y is Gamma(2, λ).

a) The time between events is exponentially distributed. Therefore, in this case, the number of guests arriving at a bank during the time interval [0,t) follows a Poisson(λt). Denote by X the arrival time of the first guest. This means that we want to know how long we have to wait until the first guest arrives. The waiting time until the first arrival in a Poisson process is an exponential distribution with a rate parameter of λ. Therefore, the distribution of X is exponential(λ).

b) Denote by Y the arrival time of the second guest. The waiting time for the first arrival is an exponential distribution with a rate parameter of λ, as we saw above. After the first arrival, the waiting time for the second arrival is also exponentially distributed with a rate parameter of λ. Therefore, the distribution of the time between the first and second arrivals is the minimum of two independent exponential distributions with a rate parameter of λ. This is equivalent to a Gamma distribution with parameters α =2 and β =λ. Therefore, the distribution of Y is Gamma(2, λ).

To learn more about "Poisson distribution": brainly.com/question/17280826

#SPJ11

Where is point c if c 2 units closer to b than it is a?

Answers

As per the points A, B, and C are colinear points and the point C lies between points A and B on the line.

Let's begin by finding the distance between points A and B. Using the distance formula equation, we can substitute the values of the x and y coordinates of A and B:

AB = √((0 - 5)² + (5 - (-5))²)

= √(25 + 100)

= √125

= 5√5

Therefore, the distance between points A and B is 5√5.

Similarly, we can find the distance between points B and C:

BC = √((2 - 0)² + (1 - 5)²)

= √4 + 16

= √20

= 2√5

Finally, we can find the distance between points A and C:

AC = √((2 - 5)² + (1 - (-5))²)

= √9 + 36

= √45

= 3√5

Alternatively, we can use the equation of the line passing through any two of these points and check if the third point lies on that line.

Let's use the points A and B to find the equation of the line passing through them:

y - (-5) = ((5 - (-5)) / (0 - 5))(x - 5)

y + 5 = (10 / (-5))(x - 5)

y + 5 = -2(x - 5)

y + 5 = -2x + 10

y = -2x + 5

Now, let's check if point C lies on this line by substituting its coordinates into the equation:

1 = -2(2) + 5

1 = 1

Since the equation is true, we can conclude that points A, B, and C are collinear. Moreover, since point C lies between points A and B on the line, we can say that C lies on segment AB.

To know more about colinear here

https://brainly.com/question/24244967

#SPJ4

Complete Question:

Given points A, B, and C. Find AB, BC, and AC. Are A, B, and C collinear? If so, which point lies between the other two? A(5, −5), B(0,5), C(2, 1)

Ten percent of customers who walk into a golf store purchase a golf club and 30% of customers purchase golf balls. Six percent of customers purchase both clubs and balls. The percentage of customers who do not purchase clubs or balls is______. A) 0.24 B) 0.34 C) 0.41 D) 0.66

Answers

The percentage of customers who do not purchase clubs or balls is 0.66 or 66%.

Ten percent of customers who walk into a golf store purchase a golf club and 30% of customers purchase golf balls. Six percent of customers purchase both clubs and balls. The percentage of customers who do not purchase clubs or balls is 0.66.

Given that, The percentage of customers who purchase golf clubs = 10%The percentage of customers who purchase golf balls = 30%The percentage of customers who purchase both clubs and balls = 6%To find out the percentage of customers who do not purchase clubs or balls, we have to subtract the percentage of customers who purchase either clubs or balls or both from 100%.

Percentage of customers who purchase either clubs or balls or both = 10% + 30% - 6% = 34% Percentage of customers who do not purchase clubs or balls = 100% - 34% = 66%.

Learn more about Percentage

brainly.com/question/29306119

#SPJ11

Rewrite the following in the form log(c).
log(15) -log(3)

Answers

The logarithmic expression given as log(15) -log(3) when simplified is log(5).

How to rewrite the logarithmic expression

Given that

log(15) -log(3)

The form is

log(c)

Using the logarithmic identity that states log(a) - log(b) = log(a/b), we can rewrite the given expression as:

log(15) - log(3) = log(15/3)

And simplifying the expression inside the logarithm, we get:

log(15) - log(3) = log(5)

So the given expression, log(15) - log(3), can be written in the form log(c) as log(5).

This means that the logarithm of 5 is equivalent to the difference between the logarithms of 15 and 3.

Read more about logarithmic expression at

https://brainly.com/question/28041634

#SPJ1

Find the following percentiles for the standard normal distribution. Interpolate where appropriate. (Round your answers to two decimal places.)a. 81stb. 19thc. 76thd. 24the. 10 th

Answers

The percentiles for the standard normal distribution

a. 0.93

b. -0.88

c. 0.67

d. -0.65

e. -1.28

To determine the percentiles for the standard normal distribution, use the standard normal distribution table. Percentiles for standard normal distribution are given by the standard normal distribution table.

The standard normal distribution is a special type of normal distribution with a mean of 0 and a variance of 1.

Step 1: Write down the given percentiles as a decimal and round to two decimal places.

For example, for the 81st percentile, 0.81 will be used.

Step 2: Use the standard normal distribution table to find the corresponding z-score.

Step 3: Round off the obtained answer to two decimal places.

a) 81st percentile:

The area to the left of the z-score is 0.81.

The corresponding z-score is 0.93.

Hence, the 81st percentile for the standard normal distribution is 0.93.

b) 19th percentile:

The area to the left of the z-score is 0.19.

The corresponding z-score is -0.88.

Hence, the 19th percentile for the standard normal distribution is -0.88.

c) 76th percentile:

The area to the left of the z-score is 0.76.

The corresponding z-score is 0.67.

Hence, the 76th percentile for the standard normal distribution is 0.67.

d) 24th percentile:

The area to the left of the z-score is 0.24.

The corresponding z-score is -0.65.

Hence, the 24th percentile for the standard normal distribution is -0.65.

e) 10th percentile:

The area to the left of the z-score is 0.10.

The corresponding z-score is -1.28.

Hence, the 10th percentile for the standard normal distribution is -1.28.

To know more about the "standard normal distribution": https://brainly.com/question/27275125

#SPJ11

Can some one solve this and show their work please

Answers

Answer:

m = 2n = 7

Step-by-step explanation:

we solve with two equations between the corresponding sides

9m = 7m + 4

9m - 7m = 4

2m = 4

m = 2

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

check

9 x 2 = 7 x 2 + 4

18 = 18

this answer is good

n + 6 = 2n - 1

n + 7 = 2n

7 = n

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

7 + 6 = 2 x 7 - 1

13 = 13

this answer is good

Seven bags of cement weighs 3kg 52g what Is the weight of the each?​

Answers

Answer:

436g

Step-by-step explanation:

1kg=1000g

3kg=3000g

3000+52=3052

3052÷7=436

Kelly took three days to travel from City A to City B by automobile. On the first day, Kelly traveled 2/5 of the distance from City A to City B and on the second day, she traveled 2/3 of the remaining distance. Which of the following is equivalent to the fraction of the distance from City A to City B that Kelly traveled on the third day.A) 1−2/5−2/3B) 1−2/5−2/3(2/5)C) 1−2/5−2/5(1−2/3)D) 1−2/5−2/3(1−2/5)E) 1−2/5−2/3(1−2/5−2/3)

Answers

The equivalent fraction of the distance from City A to City B that Kelly traveled on the third day is D) 1−2/5−2/3(1−2/5).

What is the fraction?

The fraction represents a portion or part of a whole.

There are proper, improper, and complex fractions depending on the value of the numerator and the denominator.

The fractional distance traveled on day one = ²/₅

The remaining fractional distance = ³/₅ (1 - ²/₅)

The fractional distance Kelly traveled on day two = ²/₅ (²/₃ of ³/₅)

The fraction of the distance from City A to City B that Kelly traveled on the third day = ¹/₅ (1 - ²/₅ - ²/₅)

Thus, the equivalent fractional distance Kelly traveled on the third day is Option D.

Learn more about equivalent fractions at https://brainly.com/question/17220365

#SPJ1

Please help me and all my other questions imma fr fail 10th and I need help (Find the perimeter of a Regular Pentagon with consecutive vertices at (-3,4) and (2, 6)

Answers

Answer: 25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

In the morning 134 books were checked out from the library.in the afternoon 254 books were checked out and 188 books were checked out in the evening.how many books were checked out in the library that day?

Answers

Answer:

576 books.

Step-by-step explanation:

134+254+188=576 books in total.

Hopefully this helps!

3gh2x4g3h3 help me please

Answers

Answer:

Step-by-step explanation:

To find the product

Its gonna be

12g^4h^5

ling makes bracelets and necklaces and salesman a different crafts fairs the table shows how much is string is used to make each item
bracelet 7 1/2
small necklace 15
large necklace 19 1/4
ling plans to make at least 20 bracelets
write and solve an inequality to determine the minimum length of string that she needs to buy.
What is the least number of inches of string ling will need

Answers

According to the given information Ling has enough string to produce at least 20 bracelets.

What is a number and what are its many types?

Numbers serve the purpose of counting, measuring, organising, indexing, and other purposes. Natural numbers, whole numbers, rational and irrational numbers, integers, actual values, complex numbers, even and odd numbers, and so on are all distinct forms of numbers.

What exactly is a number?

A number is really a numerical value that is used to express quantity. As a consequence, a number seems to be a mathematical idea that may be used to count, measure, and name objects. As little more than a result, numbers are the foundation of mathematics. Here is one butterfly, and here are four butterflies.

Each bracelet requires 7 1/2 inches of string. So, the total length of string required to make 20 bracelets is:

20 × 7 1/2 = 150 inches

Therefore, Ling needs to buy at least 150 inches of string.

We can write the inequality to represent this situation as:

length of string ≥ 150

To know more about Number visit:

https://brainly.com/question/27733922

#SPJ1

A triangle has a side that is 5 inches long that is adjacent to an angle of 61. In addition, the side oppositethe 61 angle is 4,8 inches long. There are two triangles with these measurements. For each one,determine the other two angles of the triangle and the length of the third side..acute:(a) The triangle in which the angle opposite the 5-inch side-The angle between the two given sides measuresnearest tenth of a degree.)The third angle measuresThe remaining side is approximatelyan inch.)(b) The triangle in which the angle opposite the 5-inch side is obtuse:The angle between the two given sides measuresnearest tenth of andegree.)WThe third angle measuresThe remaining side is approximatelyan inch.)degrees. (Round to thedegrees. (Round to the nearest tenth of a degree.)Ainches long. (Round to the nearest tenth ofdegrees. (Round to thedegrees. (Round to the nearest tenth of a degree.)inches long. (Round to the nearest tenth of an inch

Answers

The two remaining angles are 58°, and the length of the third side of the triangle is 6.5 inch.

In order to determine the other two angles of each triangle as well as the length of the third side, we need to use the Cosine Rule. According to the Cosine Rule, for any triangle with sides of length a, b, and c, and angles of A, B, and C, the following equation holds:



[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]



For the first triangle, we are given that the side of length 5 is adjacent to an angle of 61°. Therefore, a = 5, C = 61°. Using the information provided, we can also determine that b = 4.8. Substituting these values into the Cosine Rule equation, we get:



[tex]c^2 = (5)^2 + (4.8)^2 - 2(5)(4.8) cos(61°)[/tex]



We can solve this equation to get c = 6.5. Therefore, the length of the third side in the first triangle is 6.5. Additionally, we can use the Triangle Angle Sum theorem to determine the other two angles. According to this theorem, the sum of the three angles of a triangle is 180°. Therefore, for the first triangle, the two remaining angles are 180 - 61 - (180 - 61) = 58°.



For the second triangle, we use the same process, but with the given side lengths reversed. That is, we set a = 4.8, b = 5, and C = 61°. Again, substituting these values into the Cosine Rule equation, we get:



[tex]c^2 = (4.8)^2 + (5)^2 - 2(4.8)(5) cos(61°)[/tex]

We can solve this equation to get c = 6.5. Therefore, the length of the third side in the second triangle is also 6.5. We can use the Triangle Angle Sum theorem again to determine the other two angles. Again, for the second triangle, the two remaining angles are 180 - 61 - (180 - 61) = 58°.



In conclusion, for each triangle, the two remaining angles are 58°, and the length of the third side is 6.5 inch.

Learn more about cosine rule: https://brainly.com/question/21568111

#SPJ11

Your monthly take-home pay is $900. Your monthly credit card payments are about $135. What percent of your take-home pay is used for your credit card payments?

i came up with $765

Answers

Answer:15 percent

Step-by-step explanation:

Determine the overall resistance of a 100-meter length of 14 AWA (0.163 cm diameter) wire made of the following materials. a. copper (resistivity = 1.67x10-8 O•m) b. silver (resistivity = 1.59x10-8 O•m) c. aluminum (resistivity = 2.65x10-8 O•m) d. iron (resistivity = 9.71x10-8 O•m)

Answers

On the material was used, the 100-meter flex of 14 AWA wire's entirety would range. If the silver and copper cable are in 0.0013 and 0.0014, aluminum spans 0.002 and 0.004, and iron is between 0.007 and 0.008

What is a case of resistance?

A force that works to slow something down or halt its progress: The air/wind drag slowed the vehicle down. the extent to which a material obstructs an electric charge from passing through it: There is little reluctance in copper.

The resistance (R) of a wire is given by the formula:

R = (ρ x L) / A

where:

ρ is the resistivity of the material

L is the length of the wire

A is the wire's cross-sectional size.

The cross-sectional area (A) of a wire with diameter d is given by the formula:

A = π x (d/2)²

where pi is a number in mathematics. (approximately equal to 3.14).

For a 100-meter length of 14 AWA wire with diameter 0.163 cm, we first need to convert the diameter to meters:

d = 0.163 cm = 0.00163 m

The cross-sectional area of the wire is then:

A = π x (0.00163/2)² = 2.087 x 10⁻⁶ m²

Using this value of A and the given resistivities, we can calculate the resistance for each material:

For copper:

R_copper = (1.67 x 10⁻⁸ O•m x 100 m) / (2.087 x 10⁻⁶ m²) = 0.00134 Ω

For silver:

R_silver = (1.59 x 10⁻⁸ O•m x 100 m) / (2.087 x 10⁻⁶ m²) = 0.00128 Ω

For aluminum:

R_aluminum = (2.65 x 10⁻⁸ O•m x 100 m) / (2.087 x 10⁶ m²) = 0.00199 Ω

For iron:

R_iron = (9.71 x 10⁻⁸ O•m x 100 m) / (2.087 x 10⁻⁶ m²) = 0.00735 Ω

Therefore, the overall resistance of the 100-meter length of 14 AWA wire made of these materials would depend on which material was used. If copper or silver were used, the resistance would be relatively low, around 0.0013-0.0014 Ω. If aluminum were used, the resistance would be higher, around 0.002 Ω. If iron were used, the resistance would be much higher, around 0.007 Ω.

To know more about Resistance visit:

https://brainly.com/question/17563681

#SPJ1

PLEASE HELP ME THIS IS PAST DUE AND I NEED TO GET MY GRADE UP

Answers

Answer:

2916 cm^2

Step-by-step explanation:

Area = side x side = 54 x 54 or 54^2 = 2916 cm^2

Answer:

The other guy is right, 2916 cm^2 is the answer

Step-by-step explanation:

Do you need help with any other questions, if so I'm available to help you.

Will give brainlest to first correct answer!!!
Evelyn has a bag that contains 3 red marbles and 2 blue marbles.
Evelyn randomly pulls a marble from the bag and then puts it back in the bag. She repeats this 20 times. How many times should she expect to draw a red marble from the bag?

Answers

Answer:

She will draw 120 times for a red marble

Step-by-step explanation:

4) Ella drives 60 miles per hour. How far will she drive in 2% hours?​

Answers

Answer: 1.2 miles

Step-by-step explanation:

1 hour = 60 min

60 x 0.02 = 1.2         1 minute and 20 seconds has elapsed

60 miles/ every 60 minutes or 1 mile a minute

1 x 1.2 = 1.2

she has traveled 1.2 miles

Answer: The answer is 120 mph (miles per hour)

Step-by-step explanation:

The one thing you need to do is to figure out how many mph did Ella drive for 2 hours.

So, you need to do 60 x 2, and you will get the answer 120.

And there's your answer!

If an excise tax is levied on the suppliers of tobacco, will the incidence fall mostly on consumers or mostly on producers? Will there be a large amount or small amount of deadweight loss? Will tax revenue from the tobacco tax fall or rise?

Answers

As the demand for tobacco is inelastic so the consumers are the group who are less responsive to a higher price as an outcome of it the consumers will have to bear the largest share of the tobacco tax.

This inelasticity of demand will lead to only a small decline in the quantity demanded after the tax have been leived , therefore the deadloss weight will be in really small degree. the percentage increase in price of any amount will overcome a smaller decline in the quantity which eventually would lead to a rise in the tax revenue collection.

Inelasticity of demand refers to the degree to which the quantity demanded of a particular good or service changes in response to a change in its price. When demand is inelastic, a change in price will result in a proportionally smaller change in quantity demanded. This is typically the case for goods or services that are considered necessities or have few substitutes available.

For example, if the price of insulin, a life-saving medication for diabetics, increases by 10%, it is unlikely that the quantity demanded will decrease by 10%. People with diabetes require insulin to manage their condition, and there are few substitutes available, so they are willing to pay a higher price to maintain their health.

To learn more about Inelasticity of demand visit here:

brainly.com/question/30103518

#SPJ4

Complete Question: -

Suppose the supply of tobacco is elastic and the demand for tobacco is inelastic. If an excise tax is levied on the suppliers of tobacco, will the incidence fall mostly on consumers or mostly on producers? Will there be a large amount or small amount of deadweight loss? Will tax revenue from the tobacco tax fall or rise?

What is the value of this expression when x = -6 and y=-1/2

Answers

The resultant value of the given expression 4(x²+3)-2y is 157 respectively.

What are expressions?

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values.

We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra.

Here, we refer to these letters as variables.

An expression is a group of words with operators between them.

The equation is the union of two expressions joined by the symbol "equal to" (=).

For instance, 3x-8. Ex: 3x-8 = 16.

So, the value would be:

4(x²+3)-2y

Insert values as follows:

=4((-6)²+3)-2(-1/2)

=4(36+3)+1=157


Therefore, the resultant value of the given expression 4(x²+3)-2y is 157 respectively.

Know more about expressions here:

https://brainly.com/question/1859113

#SPJ1

Complete question:

What is the value of this expression when x= -6 and y= -1/2? 4(x2+3)-2y

Construct the first three Fourier approximations to the square wave function f(x) = {1 - pi lessthanorequalto x < 0 -1 0 lessthanorequalto x < pi F_1(x) = -(4/pi)*(sin(x)) F_2(x) = (4/pi)*(sin(x)) F_3(x) = (4/pi)*((sin(x))-(1/3)*(sin(3x)))

Answers

The Fourier series for f(x) is f(x) = (4/π) [sin(x) + (1/3) sin(3x) + (1/5) sin(5x) + ...].

The square wave function can be defined as:

f(x) = {1 -π ≤ x < 0

-1 0 ≤ x < π

To find the Fourier series for this function, we first need to determine the coefficients a_n and b_n.

a_n = (1/π) ∫_0^π f(x) cos(nx) dx

= (1/π) ∫_0^π (-1) cos(nx) dx + (1/π) ∫_(-π)^0 cos(nx) dx

= (2/π) ∫_0^π cos(nx) dx

= (2/π) [sin(nπ) - sin(0)]

= 0

b_n = (1/π) ∫_0^π f(x) sin(nx) dx

= (1/π) ∫_0^π (-1) sin(nx) dx + (1/π) ∫_(-π)^0 sin(nx) dx

= -(2/π) ∫_0^π sin(nx) dx

= -(2/π) [cos(nπ) - cos(0)]

= (2/π) [1 - (-1)^n]

Therefore, the Fourier series for f(x) is:

f(x) = (4/π) [sin(x) + (1/3) sin(3x) + (1/5) sin(5x) + ...]

To find the first three Fourier approximations, we truncate this series at the third term.

F_1(x) = -(4/π) sin(x)

F_2(x) = (4/π) sin(x) + (4/3π) sin(3x)

F_3(x) = (4/π) sin(x) + (4/3π) sin(3x) - (4/5π) sin(5x)

These are the first three Fourier approximations of the square wave function f(x). The more terms we include in the Fourier series, the closer the approximations will be to the original function.

To learn more about the Fourier series

https://brainly.com/question/29672996

#SPJ4

Use the factorization A PDP 1 to compute Ak, where k represents an arbitrary integer. a 7(b-a) 17 a 017

Answers

If A = [tex]PDP^{-1}[/tex], Then [tex]A^{k}[/tex] = [tex](PDP^{-1}) ^{k}[/tex] = [tex]PDP^{-1}[/tex][tex]PDP^{-1}[/tex] .....[tex]PDP^{-1}[/tex] = [tex]PD^{k} P^{-1}[/tex]since [tex]P^{-1}[/tex] P = I, the identity matrix.

Further, the representation can be made as in the following attachment.

To learn more about integers, refer to:

https://brainly.com/question/929808

#SPJ4

question if all other factors are held constant, which of the following results in an increase in the probability of a type ii error? responses the true parameter is farther from the value of the null hypothesis. the true parameter is farther from the value of the null hypothesis. the sample size is increased. the sample size is increased. the significance level is decreased. the significance level is decreased. the standard error is decreased. the standard error is decreased. the probability of a type ii error cannot be increased, only decreased.

Answers

If all other factors are held constant, decreasing the significance level results in an increase in the probability of a type II error. This is true. we can say that the probability of making a type II error increases when the significance level is lowered.

What is a type II error? In hypothesis testing, a type II error occurs when a false null hypothesis is not rejected. When there is a real effect and the null hypothesis is false, this happens. It's a mistake that occurs when a researcher fails to reject a false null hypothesis.

A false negative is another term for a type II error. The power of the test, the size of the sample, the confidence level, and the effect size are all factors that influence the probability of making a type II error. Only if we decrease the significance level can the probability of a type II error be increased.

What is the significance level? The significance level is also known as alpha. It is the probability of rejecting a null hypothesis when it is true. It is represented by α. It is usually set at 0.05 or 0.01 in most studies. When the significance level is lowered, the probability of making a type I error decreases, but the probability of making a type II error increases. Therefore, we can say that the probability of making a type II error increases when the significance level is lowered.

For more such questions on type II error

https://brainly.com/question/30403884

#SPJ11

When a homeowner has a 25-year variable-rate mortgage loan, the monthly payment R is a function of the amount of the loan A and the current interest rate i (as a percent); that is, R = f(A). Interpret each of the following. (a) R140,000, 7) - 776.89 For a loan of $140,000 at 7% interest, the monthly payment is $776.89. For a loan of $140,000 at 7.7689% interest, 700 monthly payments would be required to pay off the loan. For a loan of $140,000 at 7% interest, 776.89 monthly payments would be required to pay off the loan. For a loan of $140,000 at 7.7689% interest, the monthly payment is $700.

Answers

The monthly payment required to pay off a loan of $140,000 at 7% interest would be $776.89 is the correct statement(A).

The statement given is describing a function that relates the monthly payment R of a 25-year variable-rate mortgage loan to the loan amount A and the current interest rate i.

The given values are R = $776.89 and A = $140,000, with an interest rate of 7%. This means that the monthly payment required to pay off a loan of $140,000 at 7% interest would be $776.89.

However, the other statements are incorrect interpretations. For instance, the statement "For a loan of $140,000 at 7.7689% interest, 700 monthly payments would be required to pay off the loan" is incorrect.

This is because the number of payments required to pay off a loan depends not only on the loan amount and interest rate, but also on the term of the loan.

Similarly, the statement "For a loan of $140,000 at 7% interest, 776.89 monthly payments would be required to pay off the loan" is also incorrect, as the number of payments required would be determined by the term of the loan.

Finally, the statement "For a loan of $140,000 at 7.7689% interest, the monthly payment is $700" is also incorrect. This is because, for the given loan amount and interest rate, the monthly payment required would be $776.89, as calculated above.

For more questions like Interest click the link below:

https://brainly.com/question/13324776

#SPJ11

Hi help me with this question

Solve for X

30=5(X+5)

X=?

Answers

The solution for X in equation 30=5(X+5)X is X= 1.

To solve the equation, we can start by distributing the 5 on the right-hand side of the equation, which gives us:

30 = 5X + 25X

Combining like terms, we get:

30 = 30X

Dividing both sides by 30, we get:

X = 1

However, we need to check whether this value satisfies the original equation. Plugging X=1 into the equation gives us:

30 = 5(1+5)(1)

30 = 5(6)

30 = 30

Therefore, the only valid solution is X=1.

Learn more about Equations:

https://brainly.com/question/28871326
#SPJ4

a:b=1:6
a:c=3:1
How many times is b bigger than c?

Answers

Answer:

18 times bigger

Step-by-step explanation:

Other Questions
Commercially available large wind turbines blade span diameters larger than 100 m and over 3 MW of electric power at peak design have generate conditions. Consider a wind turbine with a 75-m blade span subjected to 25-km/h steady winds. If the combined turbinegenerator effi- ciency of the wind turbine is 32 percent, determine (a) the power generated by the turbine and (b) the horizontal force exerted by the wind on the supporting mast of the turbine. Take the density of air to be 1.25 kg/m3, and disregard frictional effects on the mast. Atmospheric deposition is receiving increased attention in the scientific community, and has become the subject of a specific research area in the environmental sciences. Acid rain is detrimental to our ecosystems and can be measured in several ways. Which of the following methods would best identify changes from acid deposition in an area over time?a. Calculating the change in sulfur dioxide emissions from coal-burning power plants over timeb. Mapping out coal-burning power plant locations over the past 50 yearsc. Measuring the pH of rainwater and surface water in affected areasd. Monitoring the long-term chemical and biological parameters of an ecosystem which schedule of reinforcement involves reinforcement being given for the first correct response made after a varied amount of time has passed since the last reinforced response? When a series of goals are set by the company with input from the employee, and the employee receives payment as each goal is reached, this is called a ____ In order to compute equivalent units of production, which of the following must be reasonably estimated?A) Units completedB) The percentage of completionC) Direct material costD) Units started and completedE) None of the above Write the meaning language origin and part of speech of the words to the complete the table below. use a dictionary for this exercise pls pa help di ko kaya to At one point, U.S. presidents accumulated so much power that Arthur Schlesinger Jr. warned of which of the following?an imperial presidencya dynamic presidencya dual presidencyan amorphous presidency Part y Wa g on, Inc., provides musical entertainment at weddings, dances, and various other functions. The company performs adjusting entries monthly but prepares closing entries annually on December 31. The company recently hired Jack Armstrong as its new accountant. Jacks first assignment was to p re p are an income statement, a statement of retained earnings, and a balance sheet usin g an adjusted trial balance given to him by his predecessor, dated December 31, the current year.From the ad j usted trial balance, Jack p re p ared the followin g set of financial statements. Which of the following factors is unique for each substance when calculating the energy change associated with a change in temperature?A) massB) enthalpyC) temperature changeD) specific heat just prior to performing a compulsive action, a small majority of individuals with ocd experience feelings of . !!!50 points!!!Problem 1. What masses of 15% and 20% solutions are needed to prepare 200 g of 17% solution?Problem 2. What masses of 18% and 5% solutions are needed to prepare 300 g of 7% solution?Problem 3. 200 g of 15% and 350 g of 20% solutions were mixed. Calculate mass percentage of final solution.Problem 4. 300 g of 15% solution and 35 g of solute were mixed. Calculate mass percentage of final solution.Problem 5. 400 g of 25% solution and 150 g of water were mixed. Calculate mass percentage of final solution. Adapted from Other than the requirement that has been underlined in the passage, describe TWO other (2x1) criteria that are required in order to be considered for a bachelor degree studies. Find the value of 2 - 3x when x = 72 - 3x is a(n)__________. Please need help in math camille knew that her boss was going to be furious when he learned that she hadn't met her sales quota. rather than face his ire, she quickly arranged a business trip that so she would be out of the office for several days and hoped he'd have cooled off when she returned. which style of conflict resolution is camille using? In a single-flash geothermal power plant, geothermal water enters the flash chamber (a throttling valve) at 230C as a saturated liquid at a rate of 50 kg/s. The steam resulting from the flashing process enters a turbine and leaves at 20 kPa with a moisture content of 5 percent. Determine the temperature of the steamafter the flashing process and the power output from the turbine if the pressure of the steam at the exit of the flash chamber (2) is 1 MPa PLS HELP FAST 50 POINTS + BRAINLIEST The time and money spent in carrying out financial transactions are calledA) economies of scale.B) financial intermediation.C) liquidity services.D) transaction costs. Which of the following audit opinions would most likely be issued if the financial statements are materially misstated due to a misstatement in one particular account balance?a. Disclaimerb. Unqualifiedc. Adversed. Qualified find the current in an 8.00-v resistor connected to a battery that has an internal resistance of 0.15 v if the voltage across the battery (the terminal voltage) is 9.00 v. (b) what is the emf of the battery?