What is the area of the regular polygon

What Is The Area Of The Regular Polygon

Answers

Answer 1

the area of the square is 100 square units if its side is 10 units.by using area formula of square we can get answer

what is  square ?

A square is a shape with four equal sides and four right angles. It is a regular polygon with four sides, and all of its interior angles measure 90 degrees. In geometry, a square is often represented by the symbol "□"

In the given question,

If the side of a square is 10 units, then the area of the square can be calculated as:

Area of square = Side x Side

Area of square = 10 x 10

Area of square = 100 square units

Therefore, the area of the square is 100 square units if its side is 10 units.

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Related Questions

Determine the answers to the following percentage problems (3): a) A car is travelling at 85km/h and then increases its speed to 115km/h. What is the percentage increase in speed?​

Answers

Answer:

600/7% OR 85.71%

Step-by-step explanation:

increase in speed =v-u

I=115-85

I=30km/h

percentage increase =(I/u) ×100

30/85 ×100

6/17×100

600/7%

Use the point slope formula to write an equation on the line given and the following information write the final answer in slope intercept form the line passes through the point (-4, 1)and a parallel to the line y= 3x+1

Answers

An equation of a line parallel to that passes y = 3x + 1 through the point (-4, 1) is y = 3x + 13.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

Since the line is parallel to y = 3x + 1, the slope is equal to 3.

At data point (-4, 1) and a slope of 3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 1 = 3(x - (-4))  

y - 1 = 3(x + 4)

y = 3x + 12 + 1

y = 3x + 13

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Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
11
12

1
6
q
+
5
6
q

1
3
12
11


6
1

q+
6
5

q−
3
1

Answers

Answer: 2/3q + 7/12

Step-by-step explanation: on khan academy

what is 2 4/5 divided by 7/8?

Answers

16/5 or 3.2 as a decimal:)

Answer: 3.2 or 16/5

Step-by-step explanation:

the mixed number would be 3 1/5

i need help pleaseee!!

Answers

(a)   g(x) = 2f(x) + 3.

b.)

the inverse functions are:

f-1(x) = x/2

g¹(x) = (x - 3)/2

c.)

g¹(x) = 2*f-1(x+3).

d. ) we obtain the graph of g¹(x) = 2f-1(x+3). and  g(x) = 2f(x) + 3.

How do we calculate?

(b) The inverse function of f(x) = 2*x is f-1(x) = x/2.

We found the  inverse function of g(x) = 2f(x) + 3 = 2(x) + 3, by isolating f(x):

g(x) = 2*f(x) + 3

(g(x) - 3)/2 = f(x)

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

(d)   we work on this graph f-1(x) and g¹(x),  by graphing f(x) = 2x and y = x/2 on the same set of axes.

shift the graph of f(x) to the right by 3 units to obtain the graph of f-1(x+3), and stretch it vertically by a factor of 2 to obtain the graph of g¹(x) = 2f-1(x+3).

The resulting graph should have a horizontal asymptote at y = 3 and pass through the points (0, -1.5) and (6, 4.5).

To produce g(x) from f(x), we will use  a vertical stretch by a factor of 2, which results in 2f(x). Then, we shift the graph 3 units upward, which results in g(x) = 2f(x) + 3.

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Solve the following problems using the Polygon Interior Angle Sum Theorem and Polygon Exterior Angle Sum Theorem.

Sum of the measures of the interior angles of the regular nonagon

Measure of each interior angle of the regular nonagon

Measure of each exterior angle of the regular nonagon​

Answers

a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°

b) The measure of each interior angle of the regular nonagon is a = 140°

c) The measure of each exterior angle of the regular nonagon​ is b = 40°

Given data ,

Sum of the measures of the interior angles of a regular nonagon:

The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:

Sum of interior angles = (n - 2) * 180°

For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:

Sum of interior angles = (9 - 2) * 180

Sum of interior angles = 7 * 180

Sum of interior angles = 1260°

So, the sum of the measures of the interior angles of a regular nonagon is 1260°

Measure of each interior angle of a regular nonagon:

Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:

Measure of each interior angle = Sum of interior angles / Number of sides

Measure of each interior angle = 1260 / 9

Measure of each interior angle = 140°

So, the measure of each interior angle of a regular nonagon is 140°

Measure of each exterior angle of a regular nonagon:

The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°

Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:

Measure of each exterior angle = 360 / Number of sides

Measure of each exterior angle = 360 / 9

Measure of each exterior angle = 40°

Hence , the measure of each exterior angle of a regular nonagon is 40°

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Manny uses a sprinkler system to water his lawn. Each lawn sprinkler sprays a distance of 10 feet in every direction. One lawn sprinkler is broken and is only spraying four fifths of the area it usually covers. How many square feet of the yard is being watered by the broken sprinkler? Leave the answer in terms of π.

8π square feet
16π square feet
80π square feet
125π square feet

Answers

Answer:

80π square feet

Step-by-step explanation:

The graph shown below expresses a radical function that can be written in the form f(x) = a * (x + k) ^ (1 / n) + c does the graph tell you about the value of k in this function ? A. k equals zero.
B. k is less than zero.
C. k is greater than zero.
D. It is not possible to tell whether k is greater than or less than zero.

Answers

Answer:

It is not possible to tell from the graph whether k is greater than or less than zero. The graph only shows the shape of the function and the location of its intercepts and does not provide any information about the values of its parameters.

Answer:

Based on the graphed values of f(x) and independent variable x, the graph shows that C. k is greater than zero.

What is the value of k?

We have a c value of -1 which is where the y axis is intercepted.

We know that k isn't zero because the x and y values are not the same. We can also tell that k is not less than 0 because if it was, the f(x) for the smaller x value would lead to a larger f(x) value.

The only logical conclusion therefore, is that k is greater than zero.

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Find the measure of BC

Answers

The measure of BC is 110°

What is a semicircle?

Semicircle is defined as a half circle formed by cutting the circle into two halves. It is formed when a line passes through the center and touches the two ends of the circle. This line is called the diameter of the circle.

line AB is the diameter of the circle and thus, AB gives a semi circle.

This means that, since angle Ina semi circle is 180°, the sum of AC and BC is 180°

therefore, 2x-30+x = 180°

3x = 180+30

3x = 210

divide both sides by 3

x = 210/3 = 70°

therefore BC = 2x-30

= 2×70-30

= 140-30

= 110

therefore the measure of BC is 110°

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Suppose you have $54 to spend on gas for your whole trip. You know that gas prices are $3.60 per gallon. At the most, how many gallons could you buy

Answers

Answer: You can buy a maximum of 15 gallons of gas for $54.

To see why, you can divide the total amount of money you have by the cost per gallon:

$54 ÷ $3.60/gallon = 15 gallons

Step-by-step explanation:

How do you do 6/7 divided by 2/3?

Answers

Answer:

[tex]\frac{9}{7}[/tex]

Step-by-step explanation:

[tex]\frac{6}{7}[/tex] ÷ [tex]\frac{2}{3}[/tex] = [tex]\frac{6}{7}[/tex] · [tex]\frac{3}{2}[/tex] = [tex]\frac{18}{14}[/tex] = [tex]\frac{9}{7}[/tex]

So, the answer is  [tex]\frac{9}{7}[/tex]

Is (-2, 3) a solution to this system of equations? X = -2 2x + 3y = 6 yes or no​

Answers

Answer:

No, (-2, 3) is not a solution

Step-by-step explanation:

Substitute x with -2 and y with -3.

x = -2

-2 = -2   true

2x + 3y = 6

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

-4 + 9 = 6

5 = 6    false

A book sold 31,800 copies in its first month of release. Suppose this represents 8.6% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.

Answers

The total number of copies sold to date is approximately 369,767.

What is equation?

An equation can be described mathematically as a statement that supports the equality of two expressions joined by the equals sign "=". For instance, 2x - 5 = 13. 2x - 5 and 13 are expressions in this case. "=" is the sign that connects these two expressions.

Let's assume the total number of copies sold to date as x.

We know that the number of copies sold in the first month is 31,800, which is 8.6% of the total number of copies sold to date.

So we can set up an equation as follows:

31,800 = 0.086x

To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides by 0.086:

x = 31,800 / 0.086

x = 369,767.44

Therefore, the total number of copies sold to date is approximately 369,767.

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Find the slant height of the pyramid.




7 mm


6 mm


8 mm


5 mm

Answers

Check the picture below.

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{3}\\ o=\stackrel{opposite}{4} \end{cases} \\\\\\ x=\sqrt{ 3^2 + 4^2}\implies x=\sqrt{ 9 + 16 } \implies x=\sqrt{ 25 }\implies x=5[/tex]

Unsure of how to solve not getting answer in the choice list myself

Answers

Option C is correct. probability of choosing man and non drinker is given s 0.932

What is probability?

Probability is a branch of mathematics that deals with the study of random events or experiments, and the likelihood or chance of certain outcomes occurring. It is concerned with quantifying the uncertainty of events and helps us make predictions or informed decisions in situations where the outcome is not certain.

probability of choosing man and non drinker= 209 / 425 + 322 / 425 - 135 / 425

= 0.4917 +0.7576 - 0.3176

= 0.9317

this is approximately 0.932

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The volume of a rectangular prism is 5,890.625 cm3. If the height is 14.5 cm and the length is 25 cm, what is the value of the width?

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.

Substituting these values into the formula, we get:

5,890.625 = 25w(14.5)

5,890.625 = 362.5w

w = 16.25

Therefore, the width of the rectangular prism is 16.25 cm.

Answer:

It's A

Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25

PLEASE HURRY
(Rates MC)
Pedro scored 62 points over his last 3 basketball games. Determine the unit rate for points per game. 3 over 62 points per game 62 over 3 points per game 62 over 65 points per game 3 over 65 points per game

Answers

The unit rate for points per game is determined by dividing the total points scored by the number of games played. In this case, 62 points  3 games = 20.67 points per game (rounded to two decimal places).

What is the expression?

To determine the unit rate for points per game, we need to divide the total number of points scored by the number of games played. In this case, Pedro scored 62 points over the last 3 basketball games.

The unit rate for points per game is found by dividing the total points scored by the number of games played. In this case, Pedro scored 62 points over 3 basketball games, so the unit rate for points per game is:

62 points ÷ 3 games = 20.67 points per game (rounded to two decimal places)

So, none of the given options is correct. The correct answer is 62 over 3 points per game, which is equivalent to 20.67 points per game when rounded to two decimal places.

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Answer:

62.01 i took the test

Step-by-step explanation:

Looking to see how they got the answer for number 9?

Answers

The vertex of the graph of this equation y = x² - x - 2 is equal to -2.25.

What is the vertex form of a quadratic equation?

In this exercise, you are required to determine the vertex form of a quadratic function h(x) that is written in standard form. Mathematically, the vertex form of a quadratic equation is given by this formula:

y = a(x - h)² + k

Where:

h and k represents the vertex of the graph.a represents the leading coefficient.

For the given quadratic function y = x² - x - 2 in question 9, the axis of symmetry can be calculated as follows:

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-1)/2(1)

Axis of symmetry, Xmax = 1/2

Axis of symmetry, Xmax = 1/2.

Next, we would determine the vertex when x = 1/2 as follows;

y = x² - x - 2

y = (1/2)² - 1/2 - 2

y = 1/4 - 1/2 - 2

y = 0.25 - 0.5 - 2

y = -2.25.

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SAMPLE PROPORTIONS
2. Diego also wants to know how many students in his high school watch television shows on a computer. He takes another simple random sample of 100 students at his school and finds that 65 of them watch television shows on a computer.


Part A: What is the sample proportion, , for Diego's data?


Part B: Is Diego's sample large enough to calculate a confidence interval for the population proportion? Explain or prove your answer.


Part C: Use the formula to find the standard error that Diego can use to calculate confidence intervals. Round your answer to the nearest hundredth.


Part D: Use Parts A and C and the empirical rule to calculate the confidence levels for Diego's sample proportion as an estimate for the population proportion. Round all values to the nearest hundredth.

68% confidence interval =
95% confidence interval =
99.7% confidence interval =


Part E: One of Diego's friends, Mary, did a similar study at her school. She took a random sample of 200 students and asked if they watch television shows on a computer. How do you think Mary's 95% confidence interval compared with Diego's? Explain.

Answers

Mary's estimate of the population proportion would be more precise than Diego's.

How to solve

Part A: The sample proportion (p) for Diego's data can be found by dividing the number of students who watch television shows on a computer (65) by the total number of students in the sample (100).

p = 65/100 = 0.65

Part B: To determine if the sample is large enough to calculate a confidence interval, we can use the rule of thumb that both np and n(1-p) should be greater than or equal to 10.

np = 100 * 0.65 = 65

n(1-p) = 100 * (1 - 0.65) = 100 * 0.35 = 35

Since both values are greater than or equal to 10, Diego's sample is large enough to calculate a confidence interval for the population proportion.

Part C: The standard error (SE) can be found using the formula:

SE = sqrt[p(1-p)/n]

SE = sqrt[0.65(1-0.65)/100]

SE = sqrt[0.65 * 0.35 / 100]

SE = sqrt[0.2275/100]

SE = sqrt[0.002275]

SE ≈ 0.048 (rounded to the nearest hundredth)

Part D: Using the empirical rule (68-95-99.7 rule), we can calculate the confidence intervals for Diego's sample proportion:

68% confidence interval = p ± 1 * SE = 0.65 ± 1 * 0.048 = (0.65 - 0.048, 0.65 + 0.048) = (0.602, 0.698)

95% confidence interval = p ± 2 * SE = 0.65 ± 2 * 0.048 = (0.65 - 0.096, 0.65 + 0.096) = (0.554, 0.746)

99.7% confidence interval = p ± 3 * SE = 0.65 ± 3 * 0.048 = (0.65 - 0.144, 0.65 + 0.144) = (0.506, 0.794)

Part E: Since Mary took a larger sample (200 students) compared to Diego (100 students), we would expect her 95% confidence interval to be narrower than Diego's. A larger sample size usually leads to a smaller standard error, which in turn results in a narrower confidence interval.

This means that Mary's estimate of the population proportion would be more precise than Diego's.

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POWERBALL game contains two sets of numbers: One set from 1 through 69 and the second set from 1 through 26. A player need to select five numbers from the first set and one number from the second set.


a) The second prize - won by just matching the first five numbers in any order to the later five numbers drawn is $1,000,000 paid in cash (no annuity option).

What is the probability that the first five selected numbers match the five number that are later drawn?


b) Any time the player match the Powerball, the number picked from the second set, to the later number drawn from the second set, the player wins $4.

What is the probability that the sixth selected number matches the sixth number that is later drawn?


c) The jackpot, starting from 40 million, won by matching the first five numbers picked (in any order) to the same five numbers that are later drawn, and the sixth number must also match the sixth number that is later drawn.

What is the probability of winning the jackpot?

Please, show all of your work.

Answers

Answer: a) The probability of matching the first five selected numbers to the later five numbers drawn is given by the formula:

P = (C(69,5) / C(69,5)) * (C(5,5) / C(26,1))

where C(n,r) is the number of combinations of n items taken r at a time. The first term in the product represents the number of ways to choose the first five numbers from the pool of 69, and the second term represents the probability of choosing the correct number from the second set of 26 numbers.

Simplifying the expression, we get:

P = (1) * (1/26) = 1/26

Therefore, the probability of matching the first five selected numbers to the later five numbers drawn is 1/26.

b) The probability of matching the sixth selected number to the later number drawn from the second set is given by:

P = C(1,1) / C(26,1) = 1/26

Therefore, the probability of matching the sixth selected number to the later number drawn is 1/26.

c) The probability of winning the jackpot is the product of the probabilities of matching the first five selected numbers to the later five numbers drawn and matching the sixth selected number to the later number drawn. Using the results from parts (a) and (b), we get:

P = (1/26) * (1/26) = 1/676

Therefore, the probability of winning the jackpot is 1 in 676.

Step-by-step explanation:

Mrs. Dimitri purchased a case of yogurt cups. Out of every 10 yogurt cups, 6 are strawberry.
There are 30 yogurt cups in the case. Choose True or False for each statement.

Answers

The statements provided about fractions and percentage of yogurt cups and the strawberry flavor are, respectively, true, false, true, false.

TrueFalseTrueFalse

The fraction and percentage of cups

In a case of 30 yogurt cups, 6 out of every 10 are strawberry. Therefore, there are a total of 18 strawberry yogurt cups in the case.

To find the fraction of yogurt cups that are strawberry, you divide the total number of strawberries (18) by the total number of cups (30), which gives 18/30.

The total number of strawberry yogurt cups is 18, based on the fact that there are 30 yogurt cups in the case.

60% of the yogurt cups are strawberry, which is the result of multiplying the fraction of strawberry yogurt cups (18/30) by 100%.

To find the percentage of yogurt cups that are not strawberry, you subtract the percentage of strawberry yogurt cups (60%) from 100%, which gives 40%.

Therefore, we can conclude we have correctly answered this question.

The complete question is the following:

Mrs. Dimitri purchased a case of yogurt cups. Out of every 10 yogurt cups, 6 are strawberry. There are 30 yogurt cups in the case. Choose True or False for each statement.

The fraction of yogurt cups that are strawberry is 18/30.There are a total of 60 strawberry yogurt cups.60% of the yogurt cups are strawberry.30% of the yogurt cups are NOT strawberry.

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Jason bought 3 packs of football cards for $2.65 each, and a deck of basketball cards for $14.81 with two $20 bills. Jason found $7.08 in his pocket. How much change did Jason get?

Answers

$4.32 this is the answer hope it helps

Pls help , this is khan academy if u don’t know . I have home school

Answers

16. The IQR is when you take the beginning of the box on the box plot which in this case is 6, and subtract it with the upper quartile 22. 22-6=16

The following scatter plot represents the distance traveled by a car based on the amount of time driving.

The data is modeled by the function f (x) = 59.3x + 58.3s

What does 59.3 (the coefficient of x) represent in the function?

Answers

Answer: For each hour spent driving, the distance increases by 59.3

miles.

Step-by-step explanation:

Your welcome!

Answer:

C)  For each hour spent driving, the distance increases by 59.3 miles.

Step-by-step explanation:

In the function f(x) = 59.3x + 58.3, the coefficient of x is 59.3.

This coefficient represents the rate of change or slope of the linear relationship between distance traveled (in miles) and time (in hours).

Specifically, it represents the speed of the car in miles per hour (mph).

This means that for each hour spent driving (each unit increase in time), the car travels an additional 59.3 miles, so its distance increases by 59.3 miles each hour. Hence, the car is traveling at a speed of 59.3 mph.

Suppose you are making a model where one block represents 2 feet. About how many blocks tall is your model of the Empire State Building? What is the scale factor? (2 points)

Answers

The scale factor in the example given, which employs 10 blocks, is 62.5.

How to get the scale factor?

We must first make an educated guess as to how many blocks make up your model.

Suppose you utilized 10 blocks.

Since we know that each block is 2 feet tall, the model's height is:

10*2ft = 20ft

Given that the Empire State Building is 1,250 feet tall, we would like to adjust the scale from 20 feet to 1250 feet.

We divide the larger value by the smaller value to obtain that:

k = 1250ft/20ft = 62.5

This indicates that each foot on the model corresponds to 62.5 feet on the actual structure.

Therefore, the scale factor in the example given, which employs 10 blocks, is 62.5.

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Solve the equation
x^2 + 11x - 26 = 0

Answers

x=2,-13

Hope this helps

Find the solution set of the inequality:
−3x+8<15

Answers

Answer:

x>7/3 and x≤ -7/3

Step-by-step explanation:

Solve for x in the inequality

−3x+8<15 is x>7/3 the to find a second solution set, flip the inequality and the switch the sign x≤ -7/3

Answer:

Step-by-step explanation:

−3x+8<15

2x> -7

               

   [tex]3x\\3[/tex]   →   [tex]\frac{-7}{3}[/tex]

divide both side by 3

x→ [tex]-\frac{7}{3}[/tex]

Brian is making tacos for a party. The number of tacos he makes will be determined by how many people attend the party. What is the independent variable?

Answers

Answer: The Tacos

Step-by-step explanation: This is because independent variable is the cause not the effect but i might be wrong because i don't have the answer options

PLEASE HELP BRO ITS DUE IN AN HOUR

Ryan’s chessboard is a square-shaped with an area of 64x^6y^8 square units. Using the formula for the area of a square, A=s^2, write an expression to represent the side length of the board. (hint: S=A^1/3)

Answers

Answer: The area of Ryan's chessboard is given as 64x^6y^8 square units.

We know that the area of a square is given by A = s^2, where A is the area and s is the side length.

To find the side length of the square, we can use the formula for the side length of a square in terms of its area, which is s = √A.

Substituting A = 64x^6y^8, we get:

s = √(64x^6y^8)

Using the properties of square roots, we can simplify this expression as follows:

s = √(2^6 * (x^2)^3 * (y^2)^4)

s = √(2^6) * √((x^2)^3) * √((y^2)^4)

s = 2^3 * x^3 * y^4

Therefore, the expression for the side length of Ryan's chessboard is 2^3 * x^3 * y^4.

Step-by-step explanation:


1.Which of the following statements is true for the expression 2w3 + 7w2 - 4w?

A. The power of the expression is

B. A factor of the expression is -4w.

C. The coefficient of the expression is w.

D. The expression has 3 terms.

Answers

Answer: D

Step-by-step explanation:

The given expression is 2w3 + 7w2 - 4w.

The power of the expression is the highest exponent of the variable w, which is 3. However, this is not one of the options given.

A factor of the expression is a term or expression that divides the given expression completely. -4w is not a factor of the given expression.

The coefficient of a term is the numerical factor that is multiplied by the variable. The coefficient of the first term 2w3 is 2, and the coefficient of the second term 7w2 is 7. The coefficient of the last term -4w is -4. Therefore, the statement "The coefficient of the expression is w" is false.

The given expression has three terms: 2w3, 7w2, and -4w. Therefore, the statement "The expression has 3 terms" is true.

I think the answer is D
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Compare the energy in a pound of gasoline to the energy in a pound of a modern computer battery:a. The gasoline has about the same energy as the batteryb. The battery has 10x more energyc. The gasoline has 10x more energyd. The gasoline has 100x more energy why are winds near the surface typically stronger and more gusty in the afternoon Identify the sampling technique used for the following study. 00:24:26 For budget purposes, a financial advisor needs to know the average length of tenure of instructors at their college. Answer 2 Points i Keypad > Keyboard Shortcuts Next O Census Simple Random Sampling Stratified Sampling O Cluster Sampling Systematic Sampling O Convenience Sampling A beam of electrons, each with kinetic energy K = 9.0 keV, is incident on a potential energy step of U = 5.0 keV. What fraction of the beam is reflected by the potential A 150Hz cosine wave is sampled at a rate of 200Hz.a. Draw the wave and show the temporal locations at which it is measured.b. What apparent frequency is ... suppose x~unif(0, 1). let y = -logx What determines human ABO blood types?Group of answer choicesa. regulatory genesb. structural genesc. multiple genesd. homeotic genes evaluate the line integral, where c is the given curve. c xy dx (x y) dy, where c consists of line segments from (0, 0) to (3, 0) and from (3, 0) to (4, 2) First American advertising agency. Individuals who purchased space in newspapers and sold it to various merchants. Tap the card to flip. Acquisition and Amortization of Intangible Assets. TLM Technologies had these transactions related to intangible assets during the year.Jan 2 Purchased a patent from Luna Industries for$200,000. The remaining legal life of the patent is 15 years, and TLM expects the patent to be useful for 8 years. Jan 5 Paid legal fees in a successful legal defense of the patent of$80,000. June 29 Registered a trademark with the federal government. Registration costs were$12,300. TLM expects to use the trademark indefinitely. sept. 2 Paid research and development costs of $500,000.Required: 1. Prepare the journal entries necessary to record the transactions. If no entry is required, select "No entry required" and leave the amount boxes blank. If an amount box does not require an entry, leave it blank.Jan 2 _____; ____Jan.5 _____; ____June 29 _____; ____ Sepe. 2 _____; ____ West Side Middle School and Jefferson Middle School recycled newspaper and kept track of how many pounds of paper each student collected.2 box plots. The number line goes from 18 to 40. For Jefferson Middle School recycled newspaper, the whiskers range from 18 to 35, and the box ranges from 22 to 19. A line divides the box at 24. For West Side Middle School recycled newspaper, the whiskers range from 19 to 40, and the box ranges from 24 to 34. A line divides the box at 28.Looking at the data as a whole, which school appears to have brought in more newspapers on a daily basis?Jefferson Middle SchoolWest Side Middle SchoolThey brought in equal amounts on a daily basis.This information cannot be determined. if the fed buys $10 billion of bonds and the reserve requirement is 10% (1/10), what would be the total change in the money supply? Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) r(x) = x^2 - 25/x^2 x-intercept (x, y) = ______(smaller x-value) x-intercept (x, y) = ______ (larger x-value) y-intercept (x, y)= ______ a company decided to replace an old machine with a new machine. which of the following is considered a relevant cost? group of answer choices the book value of the old equipment the setup cost of the new equipment the loss on the disposal of the old equipment the depreciation expense on the old equipment I can calculate angle measures in radians and degrees, and can use trigonometric ratios to find information about right triangles.a) Find the six trigonometric ratios of Angle C, given the figure: 100 POINTS!!!!! BRAINLIST TO WHO EVER ANSWER FIRST! Using the substitution method, find the solution to this system of equations. -2x+2y=7 -x+y=4 Be sure to show your work!Based on your results in Problem 1, what do you know about the two lines in that system (graphically)? the motivation for a parent company to purchase the outstanding bonds of a subsidiary may be to: group of answer choices replace current debt with new debt at a lower interest rate. reduce the parent company's acquisition price for the subsidiary. increase the parent company's ownership percentage in the subsidiary. create interest revenue to offset interest expense in future consolidated income statements. electronic commerce provides buyers with an easy way to customize the level of detail in the information they obtain about a prospective purchase. True or file Please answer the question Why is Vincent chins story so important to talk about