the laplace transform of the function sin2t/t is

Answers

Answer 1

The Laplace transform of sin²t/t is ln(s)/2 - ln(s² + 4)/4.

To find the Laplace transform of sin²t/t, we can follow these steps:

Express sin²t in terms of cos(2t):

sin²t = (1 - cos(2t))/2

Split the fraction and take the Laplace transform of each term separately:

L{sin²t/t} = (1/2) * L{(1 - cos(2t))/t}

Apply the linearity property of Laplace transforms:

L{sin²t/t} = (1/2) * [L{1/t} - L{cos(2t)/t}]

Calculate the Laplace transform of 1/t:

L{1/t} = ln(s)

Calculate the Laplace transform of cos(2t)/t:

L{cos(2t)/t} = (1/2) * ln((s² + 4)/s)

Substitute the Laplace transform results back into the equation:

L{sin²t/t} = (1/2) * [ln(s) - (1/2) * ln((s² + 4)/s)]

Simplify the expression:

L{sin²t/t} = (1/2) * [ln(s) - (1/2) * ln(s² + 4) + ln(s)]

Combining the logarithmic terms:

L{sin²t/t} = (1/2) * [ln(s²) - (1/2) * ln(s² + 4)]

Further simplify the expression:

L{sin²t/t} = (1/2) * [ln(s²) - (1/2) * ln(s² + 4)]

= (1/2) * [(2/2) * ln(s) - (1/2) * ln(s² + 4)]

= ln(s)/2 - ln(s² + 4)/4

For more such information on Laplace transforms, visit:

https://brainly.com/question/28167584

#SPJ8


Related Questions

By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0​

Answers

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

For more such questions on graph

https://brainly.com/question/19040584

#SPJ8

Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x - 5y = -2 2x + y = 3 Responses A Multiply first equation by -3 and second equation by 2, solution (1, -1).Multiply first equation by -3 and second equation by 2, solution (1, -1). B Multiply first equation by -2 and second equation by 3, solution (1, -1).Multiply first equation by -2 and second equation by 3, solution (1, -1). C Multiply first equation by -2 and second equation by 3, solution (1, 1).Multiply first equation by -2 and second equation by 3, solution (1, 1). D Multiply first equation by -3 and second equation by 2, solution (-1, 1)

Answers

Answer:

(C) Multiply first equation by -2 and second equation by 3, solution (1, 1)

Step-by-step explanation:

Simultaneous equations:

Simultaneous equations are set of equations which possess a common solution. The equations can be solved by eliminating one of the unknowns by multiplying each of the equations in a way that a common coefficient is obtained in the unknown to be eliminated.

Given the simultaneous equations:

3x - 5y = -2

2x + y = 3

First step:

Multiply first equation by -2 and multiply second equation by 3,

-6x + 10y = 4

6x + 3y = 9

Second step:

Add the two equations together,

13y = 13

Divide both sides by 13

y = 1

Third step:

Put y = 1 in the first equation

3x - 5(1) = -2

3x - 5 = -2

3x = 5 - 2

3x = 3

Divide both sides by 3:

x = 1

solution (x,y) = (1,1)

Option C

Learn more about simultaneous equations: https://brainly.com/question/30293776

#SPJ1

. In a fort, there were provisions for 400 men for 23 weeks. 60 more men joined them. How long will the provisions
last?

Answers

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

for such more question on provisions

https://brainly.com/question/1216161

#SPJ8

domain of fx=underroot x+2 is equal where {} denotes the fractional part

Answers

The domain of the function f(x) = {√(x + 2)} is x ≥ -2, where {} denotes the fractional part.

To find the domain of the function, we need to consider the values of x for which the expression inside the square root is defined. In this case, the expression x + 2 must be non-negative (since we cannot take the square root of a negative number). So we set x + 2 ≥ 0 and solve for x.

x + 2 ≥ 0

x ≥ -2

Therefore, the domain of the function is x ≥ -2. This means that the function is defined for all real numbers greater than or equal to -2.

In the second paragraph, we explain that the domain of the function f(x) = {√(x + 2)} is x ≥ -2. The function involves taking the square root of (x + 2) and then considering the fractional part of the result.

The expression inside the square root must be non-negative, which means x + 2 ≥ 0. Solving this inequality, we find x ≥ -2. Thus, any real number greater than or equal to -2 is included in the domain of the function.

For example, if we choose x = -2, the expression inside the square root becomes 0, and taking the square root of 0 gives us 0. The fractional part of 0 is also 0. As we move to x > -2, the square root expression becomes positive, resulting in non-zero fractional parts.

So, the function is defined and has a non-zero fractional part for all real numbers greater than -2. However, for x < -2, the expression inside the square root becomes negative, which is not defined in the real number system. Therefore, the domain of the function is x ≥ -2.

for such more questions on  function

https://brainly.com/question/11624077

#SPJ8

1. A. What is the formula for the Pythagorean Theorem? (1 point)

B. Find the missing leg of the triangle using the Pythagorean Theorem. Remember that drawings may not be to scale (Round to the nearest tenth).
Show your work. (4 points)
20 ft
18 ft
x

Answers

Answer:

side 1^2 + side 2 ^2 = hypotenuse ^ 2

18^2 + 20^2 = hypotenuse^2

324 + 400 = 724

hypotenuse^2 = 724

hypotenuse = 26.9072480941474

hypotenuse = 26.9

Step-by-step explanation:

help fast please.........................

Answers

The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)

What are angles on parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;

They can be;

supplementary

alternate exterior

alternate interior

vertically opposite

and corresponding

The property between angle 3 and angle 6 is that they are alternate interior to each other.

Therefore angle 3 and angle 6 are alternate interior angles.

learn more about angle on parallel lines from

https://brainly.com/question/24607467

#SPJ1

a) If 12 quintals of weight is equal to 1200 kg, how many kilograms are there in 1 quintal?​

Answers

1200 kg / 12 quintal

= 100 kg per quintal

so 1 quital = 100 kg

A small deck of twenty cards consists of eight red cards and twelve green cards. Draw five cards at random, without replacement. Are the draws independent?

Answers

The draws of the cards are not independent in this scenario.

Independence in random draws means that the outcome of each draw does not affect the probabilities of subsequent draws. However, in this case, the draws are dependent because the number of red and green cards in the deck changes after each draw.

To understand this, let's consider the first draw. The probability of drawing a red card on the first draw is 8/20, and the probability of drawing a green card is 12/20. After the first draw, there are only 19 cards left in the deck, and the number of red and green cards has changed.

Therefore, the probability of drawing a red card on the second draw, given that a green card was drawn on the first draw, is now 7/19, and the probability of drawing a green card is 12/19.

This pattern continues for subsequent draws. The probabilities of drawing red or green cards change after each draw, depending on the outcomes of the previous draws. This dependency arises from the fact that the deck does not remain the same throughout the process, and the composition of the deck affects the probabilities of the subsequent draws.

In conclusion, the draws in this scenario are dependent because the outcomes of the previous draws affect the probabilities of the subsequent draws.

For more such question on independent visit:

https://brainly.com/question/25223322

#SPJ8

write 464000 in correct scientific notation​

Answers

Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

Enter the transaction below to practice using your bank register. Once you have finished and understood the scenario presented, continue to the project assessment for the scenario that you will be completing by yourself and submitting for a grade.

Enter the following transaction in your bank register to verify the calculator is working properly.

You opened the account with $300 on October 1st.
You bought a pretzel from"Doughy Pretzel" with check 100 for $3.18 on October 1st.
You bought gas with your debit card for $34.35 on October 5th.
You bought "River Rider's Extreme" with your debit card for $265.17 on October 6th.
There was an overdraft fee of $38 on October 7th.
You deposited $755.49 on October 13th.
Once you have updated your bank register to include the transactions listed above, view the completed bank register below to verify you entered everything correctly.

You have just started your first job and decide that it is time to open a checking account. At your local bank, you open a new checking account with $275 from your paycheck on October 2nd. You choose to opt-in to overdraft protection. The bank gives you some starter checks and you head home.

When you get home on October 2nd, you pay the electric bill from Volts-R-Us with check 100 for $85.67.

On October 6th, you deposit $20 that your friend gave you, then go shopping. Using your debit card, you buy the following:

2 packs of gum from In-Convenience for $1.75
gas from Dino Car for $38.67
new shoes from Foot Pods for $67.85
lunch from the Food Court for $11.23
a new cabinet from The Hanging Box for $74.89
groceries from Food on the Shelf for $105.89.
Unfortunately, since your last purchase overdrew your account, the bank will charge you $38 per transaction, which results in a total of $152 in overdraft fees on October 7th.

You deposit your $544.61 paycheck on October 13th


please fill out the excel sheet

Answers

The final balance in the bank register is $1020.49 on October 13th.The Excel sheet for the given transaction is shown below. In the given scenario, the transactions that have been made by the customer are recorded in the bank register. The register contains information about all the transactions made by the customer, whether it is a purchase, deposit, or a fee.

The bank register helps the customer to keep track of the balance in their bank account and to reconcile the balance with the bank statement. It is important to enter the transactions in the bank register as soon as they are made to avoid any errors and to keep the balance up-to-date. Excel sheet: Explanation of the transactions: -

The account is opened with $300 on October 1st. - A pretzel is purchased from "Doughy Pretzel" with check 100 for $3.18 on October 1st. - Gas is bought with the debit card for $34.35 on October 5th. - "River Rider's Extreme" is bought with the debit card for $265.17 on October 6th. - There is an overdraft fee of $38 on October 7th. - $755.49 is deposited on October 13th. Therefore, the final balance in the bank register is $1020.49 on October 13th.

For more question on transaction

https://brainly.com/question/26138968

#SPJ8

I NEED HELP NOW PLS, What is the total length of the markers that are 5.5 inches or shorter?

Answers

The total length of the markers that are 5.5 inches or shorter is equal to 48.75 inches.

How to complete the five number summary of a data set?

In order to determine the five-number summary for the length of markers, we would arrange the data set in an ascending order:

4, 5.5, 4.25, 5, 6.25, 6, 5.5, 5.25, 6.25, 4, 6.25, 5, 4.75, 6, 5.5, 6.75, 6.25

Based on the information provided about the length of markers, we would use a graphical method (box plot) to determine the five-number summary for the given data set as follows:

Minimum (Min) = 4.First quartile (Q₁) = 4.875.Median (Med) = 5.5.Third quartile (Q₃) = 6.25.Maximum (Max) = 6.75.

For the required length of markers, we have:

Total length = 4 + 4 + 4.25 + 4.75 + 5 + 5 + 5.25 + 5.5 + 5.5 + 5.5

Total length = 48.75 inches.

Read more on boxplot here: brainly.com/question/29648407

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Express the inequality b >
13

Provide your answer below:
9
using interval notation.

Answers

The interval notation (13/9, +∞) represents all real numbers greater than 13/9.

The inequality b > 13/9 can be expressed in interval notation as (13/9, +∞). In interval notation, a parenthesis "(" indicates an open interval, meaning that the value is not included, and the "+" symbol represents positive infinity, indicating that the interval extends indefinitely in the positive direction.

To explain further, the fraction 13/9 represents the value 1.44444... (repeating decimal) approximately. Since b is greater than this value, we use an open interval to exclude it.

Any value of b that is greater than 1.44444... satisfies the inequality b > 13/9. This interval notation provides a concise and clear representation of the solution set for the given inequality.

For such more questions on numbers

https://brainly.com/question/26460978

#SPJ8

Find the polar equation of the conic with focus at the pole, directrix y=3 and eccentricity of 2.

Answers

To find the polar equation of a conic with focus at the pole, directrix y=3, and eccentricity of 2, we can use the definition of a conic in polar coordinates.

The general form of the polar equation for a conic with focus at the pole is given by:

r = [tex]\frac{ed}{1+e\cos(\theta-\theta_0)}[/tex]

Where:

- r is the distance from the origin (pole) to a point on the conic.

- e is the eccentricity.

- d is the distance from the pole to the directrix.

- θ is the angle between the polar axis and the line connecting the pole to a point on the conic.

- θ_0 is the angle between the polar axis and the line connecting the pole to the focus.

In this case, the focus is at the pole, so θ_0 = 0. The directrix is y = 3, which means its distance from the pole is d = 3. The eccentricity is given as 2, so e = 2.

Substituting these values into the general equation, we get:

r =[tex]\frac{2\cdot3}{1+2\cos(\theta-0)}[/tex]

Simplifying further:

r =[tex]\frac{6}{1+2\cos(\theta)}[/tex]

Therefore, the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2 is:

r =[tex]\frac{6}{1+2\cos(\theta)}.[/tex]

This equation describes the shape of the conic in polar coordinates, where r represents the distance from the origin to a point on the conic, and θ represents the angle between the polar axis and the line connecting the origin to the point.

For more such question on polar equation

https://brainly.com/question/9363127

#SPJ8

A triangular prism is 10 millimeters long and has a triangular face with a base of 6 millimeters and a height of 4 millimeters. The other two sides of the triangle are each 5 millimeters. What is the surface area of the triangular prism?

Answers

The surface area of the given triangular prism is 204 square millimeters.

The surface area of a triangular prism can be calculated by finding the area of its two triangular faces and the area of its three rectangular faces. Let's break down the steps to find the surface area of the given triangular prism.

Step 1: Calculate the area of the triangular face.
The base of the triangle is given as 6 millimeters, and the height is given as 4 millimeters. The formula to find the area of a triangle is 1/2 * base * height. Plugging in the values, we get:
Area of triangular face = 1/2 * 6 mm * 4 mm = 12 mm².

Step 2: Calculate the area of the rectangular faces.
The length of the triangular prism is given as 10 millimeters, which is the length of the rectangular faces. The width of the rectangular faces is equal to the base of the triangular face, which is 6 millimeters. The formula to find the area of a rectangle is length * width. Plugging in the values, we get:
Area of each rectangular face = 10 mm * 6 mm = 60 mm².

Step 3: Calculate the total surface area.
Since the triangular prism has two triangular faces and three rectangular faces, we need to add up the areas of all five faces to find the total surface area.
Total surface area = 2 * Area of triangular face + 3 * Area of rectangular face.
Total surface area = 2 * 12 mm² + 3 * 60 mm².
Total surface area = 24 mm² + 180 mm².
Total surface area = 204 mm².

For more such questions on triangular

https://brainly.com/question/17264112

#SPJ8

Divide x2−5x+21/x−2. What is the divisor? What is the dividend? What is the quotient? What is the remainder? Check your answer by showing that the product of the divisor and the​ quotient, plus the​ remainder, is the dividend. Show your work(the steps)!

Answers

The divisor is x - 2, the dividend is x^2 - 5x + 21, the quotient is x - 3, and the remainder is 15.

To divide the expression x^2 - 5x + 21 by x - 2, we will use long division. Let's break down the steps:

Divisor: x - 2

Dividend: x^2 - 5x + 21

Step 1: Divide the first term of the dividend by the first term of the divisor.

x^2 / (x) = x

Step 2: Multiply the quotient (x) by the divisor (x - 2) and subtract the result from the dividend.

x(x - 2) = x^2 - 2x

[tex](x^2 - 5x + 21) - (x^2 - 2x) = -3x + 21[/tex][tex]x^2 / (x) = x[/tex]

Step 3: Bring down the next term of the dividend.

-3x + 21

Step 4: Divide the new term (-3x) by the first term of the divisor (x).

-3x / (x) = -3

Step 5: Multiply the new quotient (-3) by the divisor (x - 2) and subtract the result from the previous result.

-3(x - 2) = -3x + 6

(-3x + 21) - (-3x + 6) = 15

Step 6: There are no more terms to bring down, so we have the final remainder, which is 15.

Quotient: x - 3

Remainder: 15

To check our answer, we can multiply the divisor (x - 2) by the quotient (x - 3) and add the remainder (15) to see if it equals the original dividend (x^2 - 5x + 21).

(x - 2)(x - 3) + 15

[tex](x^2 - 3x - 2x + 6) + 15[/tex]

(x^2 - 5x + 21)

As we can see, the product of the divisor and the quotient, plus the remainder, is indeed equal to the dividend, confirming our answer.

Therefore, the divisor is x - 2, the dividend is x^2 - 5x + 21, the quotient is x - 3, and the remainder is 15.

for more such question on dividend visit

https://brainly.com/question/30126004

#SPJ8

Need help on this question pls help!!!!!!!

Answers

The mean is 3 and I don’t know what MAD is, sorry!

Explanation for mean:

There are 15 dots total throughout 5 lines. 15/5=3. For the mean you add up the total number of dots and divide it by the amount of categories.

Determine if the lengths shown create an acute, obtuse, or right triangle 4, 6, 7

Answers

It is an acute triangle

How to determine the triangle

To determine if it is an acute or obtuse or right triangle, we need to consider the angle measures.

We have that;

In an acute triangle, all angles are less than 90 degreesIn an Obtuse triangle, one angle is greater than 90 degrees.In a right triangle, one angle is equal to 90 degrees

Using the law of Cosines:

For the cosine of A =[tex]\frac{b^2 + c^2 - a^2}{2bc}[/tex]

Substitute the values, we have;

cos A = [tex]((6^2 + 7^2 - 4^2) / (2 * 6 * 7))[/tex]

find the square values

cos A =[tex]((36 + 49 - 16) / (2 * 6 * 7))[/tex]

cos A =69 / 84

cos A = 0.8214

A = 34. 77 degrees

The largest angle in the triangle is 34.77degrees, thus, an acute triangle

Learn more about triangles at: https://brainly.com/question/14285697

#SPJ1

The complete question:

Determine if the lengths shown create an acute, obtuse, or right triangle The lengths are 4, 6, 7

Select the correct answer from each drop-down menu.
A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estimates it will take
students an average of 2 minutes to complete each multiple-choice question and an average of 3.5 minutes to complete each short-answer question.
Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.
✓45
Reset
Next

Answers

The teacher can include up to 8 questions of each type (multiple-choice and short-answer) in Order for the test to take students less than 45 minutes to complete.

A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estimates it will take students an average of 2 minutes to complete each multiple-choice question and an average of 3.5 minutes to complete each short-answer question.

Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.The test has the same number of multiple-choice and short-answer questions, so let n be the number of each type of question.

The time taken to complete multiple-choice questions is 2n, while the time taken to complete short-answer questions is 3.5n.Using the inequality of time, if the test must take students less than 45 minutes to complete, then;2n+3.5n<45.Distribute the number of questions (n)2n+3.5n=5.5n5.5n<45

Divide both sides of the inequality by 5.5n<45/5.5n<8.18...n≤8

Therefore, the teacher can include up to 8 questions of each type (multiple-choice and short-answer) in order for the test to take students less than 45 minutes to complete.

For more questions on Order .

https://brainly.com/question/550188

#SPJ8

Final answer:

The teacher is creating a test with an equal number of multiple-choice and short-answer questions. The time equation for the test can be written as 2n + 3.5n < 45, where n represents the number of questions. This inequality can be solved to find the maximum number of questions the teacher can include.

Explanation:

The subject of this question is an inequality that involves the total time taken by students to complete the test. In this case, the teacher is creating a test that has an equal number of multiple-choice and short-answer questions. Each multiple-choice question takes an average of 2 minutes, while each short-answer question takes an average of 3.5 minutes. The total time for the test should be less than 45 minutes.

Since the same number of multiple-choice (2n minutes) and short-answer questions (3.5n minutes) are present, the inequality will be:

2n + 3.5n < 45

This is the inequality representing how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete. By solving this inequality, the teacher can determine the maximum number of questions that can be included in the test.

Learn more about Inequality here:

https://brainly.com/question/32625151

#SPJ2

he graph represents a relation where x represents the independent variable and y represents the dependent variable. A coordinate plane with points at negative 3 comma 4, negative 1 comma 1, 0 comma negative 2, 2 comma 0, and 4 comma negative 1. What is the domain of the relation? {−3, −2, −1, 0, 1, 2, 4} {−3, 0, 1, 4} {−2, −1, 0, 1, 4} {−3, −1, 0, 2, 4}

Answers

The domain of the relation include the following: D. {−3, −1, 0, 2, 4}.

What is a domain?

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

The horizontal section of any graph is typically used for the representation of all domain values. Additionally, all domain values are both read and written by starting from smaller numerical values to larger numerical values, which means from the left of a graph to the right of the coordinate axis.

By critically observing the coordinates of the graph above, we can logically deduce the following domain and range for this relation:

Domain = {−3, −1, 0, 2, 4} or [-3, 4].

Range = {-2, -1, 0, 1, 4} or [-2, 4].

Read more on domain here: brainly.com/question/9765637

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

D. Which transformations (vertical shift, horizontal shift, dilations, and reflections) change the domain of a function.
Support your answers with equations and graphs.

Answers

The transformations that change the domain of a function are given as follows:

Horizontal shift.Dilation.Reflection over the y-axis.

What is the domain of a function?

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

Horizontal shift, which are f(x + a) and f(x - a).Dilation, which are f(ax).Reflection over the y-axis, which is f(-x).

Learn more about domain and range at https://brainly.com/question/26098895

#SPJ1

What is the value of X using similarity?

Answers

Hello!

YH // YV

so Thalès !!

YA/YH = YB/YV

17/YH = 16/(16+22)

17/YH = 16/38

YH = 17 x 38 ÷ 16 = 40.375

YH = x = 40.375

So x = 40.375

HELP
ME
NOW
PLEASE ANYONE QUICK

Answers

The area of each labelled face is as follows:

area of A =  12 m²

area of B =  14 m²

area of C = 42 m²

How to find area?

The diagram above is a cuboid or a rectangular prism. The area of each labelled face is as follows:

Therefore,

area of A = lw

where

l = lengthw = width

Therefore,

area of A =  2 × 6 = 12 m²

area of B =  7 × 2 = 14 m²

area of C = 7 × 6 = 42 m²

learn more on area here: https://brainly.com/question/28981069

#SPJ1

Angie and Kim are sharing a large sub sandwich. Angie ate

of the sandwich, and Kim ate another

of the sandwich. How much of the sandwich did they eat altogether?

Answers

The amount of sandwich they eat altogether is 2/3

How to determine the amount

A fraction can be defined as the part of a whole number, a whole number, a whole element.

The different types of fractions are listed as;

Mixed fractionsProper fractionsImproper fractionsSimple fractionsComplex fractions

From the information given, we have that;

Angie ate 1 / 3 of the sandwich

Kim ate another 1 / 3 of the sandwich

To determine the total amount, we have;

1/3 + 1/3

add the values

1 + 1/3

add the values, we get;

2/3

Learn more about fractions at: https://brainly.com/question/11562149

#SPJ1

The complete question:

Angie and Kim are sharing a large sub sandwich. Angie ate 1 / 3 of the sandwich, and Kim ate another 1 / 3 of the sandwich. Please work out in detail.

What is -10.6x -8.05=

Answers

Answer:

85.33 or 85.3

Step-by-step explanation:

both versions of the answer should be correct. the second one is just the first one without an extra 3.

im not totally sure if you also need the graph version and/or if that was what you were referring to.

i rlly hope this helps.

if you need answers for graphing i recommend using desmos. its pretty helpful for getting answers really fast.

hope this helps!!! :) <3 (pls rate and like bc every time i answer a question no one ever does it :,) )

Nikhil and Mae work at the same company. Nikhil has been at the company 4 time+s as long as Mae. Nikhil's time at the company is 8 more than 2 times Mae's time. The following system of equations models the scenario: x = 4y x = 8 + 2y How many years has each person been employed by the company? Nikhil has been with the company for 16 years, while Mae has been there for 4 years. Nikhil has been with the company for 24 years, while Mae has been there for 6 years. Nikhil has been with the company for 20 years, while Mae has been there for 5 years. Nikhil has been with the company for 12 years, while Mae has been there for 3 years

Answers

Applying the system of equations given, we can conclude that: a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

How to Apply a System of Equations?

To solve the system of equations, let's substitute the value of x from the first equation into the second equation:

x = 4y

8 + 2y = 4y

Simplifying the equation, we get:

8 = 2y

Dividing both sides by 2:

4 = y

Now, substitute the value of y back into the first equation to find x:

x = 4y

x = 4(4)

x = 16

Therefore, Nikhil has been employed by the company for 16 years, and Mae has been employed for 4 years.

The correct answer is option a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

Learn more about System of Equations on:

https://brainly.com/question/13729904

#SPJ1

4y + 3y + 2y =

A. 9y

B. 9y²

C. 9y³

D. 24y

E. none of these

Answers

The answer is 9y since you combine like terms

Answer:

Step-by-step explanation:

Like terms are terms that have the same letter or letters. They can be collected together by adding or subtracting. 9y, 3y and 2y are like terms because they contain the letter y and only the letter y.

4y + 3y + 2y = 9y

1.2 Generate a three-column table where you evaluate how learning takes place according to: • Piaget • Vygotsky • Bruner (15)​

Answers

While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

Here's a three-column table evaluating how learning takes place according to Piaget, Vygotsky, and Bruner:

Theorist Approach to Learning Key Concepts

Piaget Constructivism 1. Schema: Individuals actively construct their knowledge through assimilation and accommodation, organizing information into mental structures called schemas. 2. Stages of Development: Learning occurs through cognitive development stages, from sensorimotor to formal operational, where individuals progressively acquire more complex mental abilities. 3. Active Exploration: Children learn best through hands-on exploration and interactions with the physical world.

Vygotsky Sociocultural Theory 1. Zone of Proximal Development (ZPD): Learning takes place within the gap between a learner's actual developmental level and their potential level with guidance from a more knowledgeable other. 2. Social Interaction: Learning is facilitated through social interactions with peers and adults, such as cooperative learning and scaffolding. 3. Cultural Tools: The use of language, symbols, and cultural artifacts plays a central role in cognitive development and learning.

Bruner Constructivism 1. Scaffolding: Instruction should provide support and guidance tailored to the learner's current abilities to help them progress to higher levels of understanding. 2. Discovery Learning: Learners construct knowledge by actively exploring and discovering concepts and relationships on their own. 3. Spiral Curriculum: Learning is organized in a spiral manner, revisiting key concepts and building upon previous knowledge in a progressive and interconnected way.

While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

For more questions on perspectives

https://brainly.com/question/6993294

#SPJ8

the volume of a pyramid is given by the formula V=1/, where B is the area of the base and h is the height?

Answers

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

pls help and explain how you got the answer

Answers

The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

What is an equation ?

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

Learn more on equations of conic sections here: https://brainly.com/question/30989935

#SPJ1

Value of 13 ( 1/2 ) - [4 ( 1/2 ) - {3- ( 2 - ( 1/2 ) )}] will be

Answers

The value of the expression 13 * (1/2) - [4 * (1/2) - {3 - (2 - (1/2))}] is 6.

To simplify the expression, let's start by solving the innermost parentheses first:

1/2 = 0.5

2 - (1/2) = 2 - 0.5 = 1.5

Now we can substitute these values back into the expression:

13 * (1/2) - [4 * (1/2) - {3 - 1.5}]

Next, we'll simplify the remaining parentheses:

4 * (1/2) = 2

3 - 1.5 = 1.5

Now we have:

13 * (1/2) - [2 - {1.5}]

Let's continue simplifying the expression inside the brackets:

2 - {1.5} = 2 - 1.5 = 0.5

Now we have:

13 * (1/2) - 0.5

Multiplying 13 by (1/2):

13 * (1/2) = 6.5

Now we have:

6.5 - 0.5

Finally, subtracting 0.5 from 6.5:

6.5 - 0.5 = 6

Therefore, the value of the expression 13 * (1/2) - [4 * (1/2) - {3 - (2 - (1/2))}] is 6.

For such more questions on Simplified Expression

https://brainly.com/question/28595186

#SPJ8

Other Questions
How many moles of ketone can be reduced by one mole of the following borohydride specie - Na[CH 3 CH 2 OBH 3 ]. b) If 3.0 g of this borohydride species (MM=81.8) and 10.0 g of 9-fluorenone (MM= 180.2 ) are reacted, then what is the theoretical yield (in grams) of 9 fluorenol (MM=182.2)? 2. a) 3 moles b) 10.1 g (NOTE: 9-fluorenone is the limiting reagent) Sunland Company purchased 90 Rinehart Company 10x,10-year, $1,000 bonds on January 1, 2022, for $90,000, The bonds pay interest annkally on fanuary 1. On Jantary 1,2023, after receipt of interest, Sunland Company sold 60 of the bonds for $56,700. Pepare the journal entries to record the transactions described above (List all debit entrles before credit entries. Credit occount titles are autamaticaliy Indented when ansount is entered, Do not indent manualiy. If no entryls requlred, select Wo entry for the account titles and enter Ofor the amounts. Record lournal entries in the order presented in the problem. Marine ple is a multi-national company that manufactures boats and other accessories for scuba diving. The company is currently paying 30 per-cent tax on profit. Marine plc has in issue five million ordinary shares with a market value of RM2.80 per share. The equity beta of the company is 1.2. The yield on short-term government debt is 4.5% per year and the equity premium is approximately 5% per year. In addition, the company has recently (assume today is 1 January 2010) issued two million 10% RM1.50 preferred shares with a market value of RM2.00 per share. The preference shares are redeemable at par on 31 December 2025. A flotation cost of 10 per-cent was incurred on issue of new preference shares. The debt finance of Marine ple consists of bonds with a total book value of RM2 million. These bonds pay annual interest before tax of 8%. The par value and market value of each bond are RM100. Required: Calculate the after-tax weighted average cost of capital of Marine plc. Balance SheetLiquid assets$5,300Tangible assets$35,800Investment assets$21,600Short-term liabilities$3,800Long-term liabilities$30,600Income StatementGross income$65,800Taxes paid$7,900Debt repayment$15,100Rent payment$900All other expenses$1,800Total expenses$25,700Calculate their net worth. The three prerequisites for __________ are repeatable work, reliable equipment, and minimal quality issues.Group of answer choicesA. communicationB. quality specificationsC. Standardized WorkD. Kaizen 3. In the graph shown, why can you infer that the population grows quickly and then slows?A. The death rate dropped quickly, so the population grew until the birth rate also dropped.B. The death rate dropped, and the birth rate increased at the same time.C. The birth rate dropped quickly, and the death rate stopped slowly.D. The death rate and birth rate decreased at the same time. Three human resources roles and responsibilities in effectiveorganizational design Legendary Motors has 6,000 defective autos on hand which cost $11,040,000 to manufacture. Legendary can either sell these defective autos as scrap for $7,000 per auto, or spend an additional $17,320,000 on repairs and then sell them for $11,000 per unit.What is the net advantage to repair the autos compared to selling them for scrap?a. $66,000,000b. $17,320,000c. $6,680,000d. $42,000,000 You can purchase a share of stock in Peru for 50 Peruvian sol. The stock typically pays a 5 sol per share dividend and you expect it will trade in 1 years' time at 60 sol. Assume the current spot rate for 1 US dollar is 4 sol and the dollar is expected to rise to 5 sol in a years' time. The expected net return on Peruvian stock(assuming it is sold ex-dividend) expressed in terms of US dollars is ___%? Acort Industries has 10 million shares outstanding and a current share price of $35 per share. It also has long-term debt outstanding. This debt is risk free, is four years away from maturity, has an annual coupon rate of 12%, and has a $112 million face value. The first of the remaining coupon payments will be due in exactly one year. The riskless interest rates for all maturities are constant at 7.2%. Acort has EBIT of $108 million, which is expected to remain constant each year. New capital expenditures are expected to equal depreciation and equal $10 million per year, while no changes to net working capital are expected in the future. The corporate tax rate is 35%, and Acort is expected to keep its debt-equity ratio constant in the future (by either issuing additional new debt or buying back some debt as time goes on). a. Based on this information, estimate Acort's WACC. b. What is Acort's equity cost of capital? You own a portfolio that is 32% invested in Stock X, 20% in Stock Y, and 48% in Stock Z. The expected returns on these three stocks are 6%, 19%, and 15%, respectively. What is the expected return on the portfolio? (Do not round intermediate calculations. Round the final answer to 2 decimal places.) Portfolio expected return % Question 70 (1 point) Sheila is provided with a company-owned automobile that is available to her 365 days of the year. The total purchase price of the automobile, including taxes, was $30,125.00. During the year, she drove 80,000 km of which 25,000 km were for personal use. She did not pay the employer a reimbursement for her personal use of the vehicle. Calculate Sheila's total annual taxable benefit for the use of the car, assuming that she has asked to company to use the optional method of calculating the operating cost benefit. Question 6Consider the following dataX y0 25 44 3What is the sample variance of x? What is the sample standard deviation of x?O Sample variance is 7, and sample standard deviation is 2.65O Sample variance is 7, and sample standard deviation is 2.16O Sample variance is 4.67, and sample variance is 2.16O Sample variance is 7, and sample standard deviation is 4.67 Brief Exercise 13-32. Continuous Flow vs. Departmental Manufacturing Objective 4 Example 13.6 During the week of August 21, Parley Manufacturing produced and shipped 4,000 units of its machine tools: 1,500 units of Tool SK1 and 2,500 units of Tool SK3. The cycle time for SK1 is 0.73 hour, and the cycle time for SK3 is 0.56 hour. The following costs were incurred: 1. Assume that the value-stream costs and total units shipped apply only to one model (a single-product value stream). Calculate the unit cost, and comment on its accuracy. 2. Assume that Tool SK1 is responsible for 60% of the materials cost. Calculate the unit cost for Tool SK1 and Tool SK3, and comment on itss accuracy. Explain the rationale for using units shipped instead of units produced in the calculation. 3. Calculate the unit cost for the two models, using DBC. Explain when and why this cost is more accurate than the unit cost calculated in Requirement 2. In its December 31, 2022 balance sheet, what would be the total cash and cash equivalents?A. $75,000B. $88,000C. $38,000D. $40,000 : For the following exercise, write a formula for the function that results when the graph of a given toolkit function is transformed as described. 1 The graph of f(x) is vertically compressed by a factor of units, then shifted to the left 3 units and down 6 units. g(x)= Preview TIP gas exchange in the lungs occurs across the respiratory membrane by the process of Consider the following cash flows of two mutually exclusive projects for Tokyo Rubber Company. Assume the discount rate for both projects is 8 percent.YearDry PrepregSolvent Prepreg0-$1,700,000-$750,0001$1,100,000$375,0002$900,000$600,0003$750,000$390,000a. Based on the payback period, which project should be taken?b. Based on the NPV, which project should be taken?c. Based on the IRR, which project should be taken?d. Based on this analysis, is incremental IRR analysis necessary? If yes, please conduct the analysis. On Janusy 1, Parson Freight Company iswes 7.5\%, 10 year bonds with a paf value of $3,00.000. The bonds pry interest weltiannuaby. The market tate of interest is 8.5. and the bond seling perice was 52.889,352. The bond issuance thould be recorded as: Mateple Choke Debit Casn 5900000 credt 8snas Prye04e $300000. Multiple Choice Debit Cash $3,100,000; credit Bonds Payable $3,100,000 Debit Cash $2,889,352; credit Bonds Payable $2,889,352. Debit Cash $3,100,000; credit Bonds Payable $2,889,352; credit Discount on Bonds Payable $210,648. Debit Cash $2,889,352, debit Discount on Bonds Payable $210,648; credit Bonds Payable $3,100.000. Debit Cash $2,889,352; debit interest Expense $210,648, credit Bonds Payable $3,100,000. You've observed the following nominal returns on Regina Computer's stock over the past five years: 20%, -12%, 17%, 20%, and 10%. suppose the average inflation rate over this period was 1.7% and the average T-bill rate over the period was 4.6%. a. What was the average real return on Regina's stock? (Do not round intermediate calculations Round the final answer to 2 decimal places.) Average real return b. What was the average nominal risk premium on Regina's stock? (Do not round intermediate calculations Round the final answer to 2 decimal places.) Average nominal risk premium % %