Do these 3side lengths from a right triangle 13,80and 81

Answers

Answer 1

Answer:

no

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 81

81² = 6561

13² + 80² = 169 + 6400 = 6569

Since 6561 ≠ 6569 then they do not form a right triangle

Answer 2

Using reverse Pythagoras theorem, the three sides of lengths of triangle does not form right triangle.

What is reverse Pythagoras theorem?

Reverse Pythagoras theorem states that "the square of the longest side is equal to the sum of the squares on the other two sides then the triangle is right triangle".

What is right triangle?

A triangle in which "one angle is 90° and the other two sides are perpendicular to each other is called right triangle."

According to the question,

Three sides lengths of triangle 13, 80 and 81. In order to find this triangle is right triangle or not.

Let a = 13, b=80, and c = 81

Reverse Pythagoras theorem  c² = a² + b²

(81)² = (13)² + (80)²

6561 = 169 + 6400

6561 ≠ 6569

Hence, using reverse Pythagoras theorem, the three sides of lengths of triangle does not form right triangle.

Learn more about reverse Pythagoras theorem here

https://brainly.com/question/343682

#SPJ2


Related Questions

7 Keira wants new carpet in her hall. The hall is a rectangle that measures 4 m long by 90 cm wide. Work out the area of carpet that she needs.​

Answers

A = l × w

Step-by-step explanation:

A = 4 × ( 90 ÷ 100 ) m

A = 4 × 0,9

A = 3,6 m²ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ

orᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ

A = ( 4 × 100 ) cm × 90

A = 400 × 90

A = 36000 cm²ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ ᅠᅠᅠ

#Hopethishelp

_____

Moumocl!

Use the Order of Operations to evaluate this expression
(-2+1square2) +5 (12/3) -9
Type the correct answer in the box. Use numerals instead of words.

Answers

(-2+1^2)+5(12/3)-9
(1)+5(4)-9
1+20-9
21-9
12

The answer when simplified gives the expression as 11.

What is the BODMAS rule?

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here the expression as -2+1²×2+5×12/3 -9=0+4×5-11

                                                                                = 11

Hence, The answer when simplified gives the expression as 11.

                                                       

Learn more about the BODMAS rule here:

https://brainly.com/question/29795897

#SPJ2

PLEASE ANSWER ASAP!!!

PLEASE ANSWER ASAP!!!

Answers

Answer:

the third one

Step-by-step explanation:

Answer:

it is (5^4)^2/5^8

Step-by-step explanation:

Please Help me - You will get 60 points for the rapid reply- Use isosceles trapezoid ABCD to determine the following measurements-

Please Help me - You will get 60 points for the rapid reply- Use isosceles trapezoid ABCD to determine

Answers

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

what is the main difference between k-means and generalized k-means algorithm

Answers

While k-means assumes exclusive cluster assignments and equal variance, generalized k-means allows for more flexible and overlapping cluster assignments, accommodating a wider range of data types and cluster structures.

The main difference between the k-means and generalized k-means algorithms lies in their flexibility and the type of data they can handle.

In the k-means algorithm, each data point is assigned to one and only one cluster, and the center of each cluster is calculated as the mean of the data points belonging to that cluster. This algorithm works well with numeric data and assumes spherical clusters with equal variance.

On the other hand, the generalized k-means algorithm allows for more flexible cluster assignments. It assigns data points to multiple clusters with varying degrees of membership. This algorithm is suitable for data that may not conform to the assumptions of k-means, such as non-numeric data or data with unevenly sized or shaped clusters.

Learn more about k-means here : brainly.com/question/1000626

#SPJ11

The polygons are similar. Find the value of x.

The polygons are similar. Find the value of x.

Answers

Answer:

x= 28

Explanation:

find the measure of ∠6 please help! answer and how to do it?

find the measure of 6 please help! answer and how to do it?

Answers

Answer:

56 degrees

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Opposite angles of two parallel lines formed by crossing by third line are equal

show how to add 24+9 by making tens.

show how to add 24+9 by making tens.

Answers

20 + 2 + 2 + 9,  20 + 4 + 9 add 24+9 by making tens.

What is an example of tens and ones?

There are always tens and ones in two-digit numerals. As an illustration, the tens place of the number 56 is represented by 5 and the ones place by 6, respectively.

                      Here, each rod is one ten and is made up of ten ones. First fact: As 1 ten, 2 tens, 3 tens, 4 tens, and so on, the numbers 10, 20, 30, 40, and so forth can be written.

Where do the ones and tens go?

A location with a value of 1 in the system of places and values. In the number 23, the one's place is occupied by 3. a place with a value of 10 in the system of place-values. 2, which is in the tens place, is the number 23.

24+9 by making tens

= 20 + 2 + 2 + 9

    20 + 4 + 9

Learn more about ones and tens

brainly.com/question/13401005

#SPJ1

Use the relationship between the angles in the figure to answer the question.

Which equation can be used to find the value of x?

Drag and drop the equation into the box.

Use the relationship between the angles in the figure to answer the question.Which equation can be used

Answers

Answer:

x= 180 - 31 + 40

Step-by-step explanation:

Answer:

Its the first one  X = 180 - 31 + 40 :))

what is the measure of each angle in a regular nonagon?

Answers

Answer:

140°

Step-by-step explanation:

a regular polygon is equiangular, equal angles.

a nonagon is a 9 sided polygon

the sum of the interior angles of a polygon is

sum = 180° (n - 2 ) ← n is the number of sides

here n = 9 , then

sum = 180° (9 - 2) = 180° × 7 = 1260° , then

each angle = 1260° ÷ 9 = 140°

Identify the equation which obeys the law of conservation of mass.

Identify the equation which obeys the law of conservation of mass.

Answers

Answer:

1 gv CX hxuz yu v tvdhzgd hj hg Ysid

Answer:

2H2O2 --------> 2H20+O2

why would you perform multivariate analysis instead of univariate analysis? a. to get a deeper understanding of the data b. to identify differences across groups c. to identify relationships between variables d. these are all reasons to perform multivariate analysis.

Answers

I'll perform multivariate analysis instead of univariate analysis to identify  relationships between variables

An univariate analysis means analysis of one variable. The prefix "uni" means one ,It doesn’t deal with causes or relationships and it’s major purpose is to takes data, summarizes that data and finds patterns in the data.

The multivariate analysis is used to the analysis of more than one variable. You can remember this because the prefix “multi” means “more than one.”

It is used to study more complex sets of data than what univariate analysis methods can handle. This type of analysis is almost always performed with software.

Univariate analysis allows us to understand the distribution of values for one variable while multivariate analysis allows us to understand the relationship between several variables

Hence , I'll perform multivariate analysis instead of univariate analysis identify  relationships between variables

To know more about Univariate analysis here

https://brainly.com/question/25513808

#SPJ4

Suppose you have a job that pays $13.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable I, that gives the amount of money, y, you will earn for working 2 hours in one week. y = _____ , Preview with ____ <= x <= ____ b. Use the function rule you have written in part a. to find the y values for the given z values: x = 10, y = ___ x = 20, y= ___
x = 30, y = ____. x = 40, y = ____ c. Construct a line graph from the information found in b. 520+ -480+ 440+ 400- 360 320- 280- 240 200 160+ 120+ 80- 40+ 10 20 30 40 Clear All Draw: Line Dot Open Dot d. State the domain and range of this function. Domain: ____ <= x <= ______
Range: <= y <= _____
e. What is the minimum amount you can earn in a week with this job? You'll earn at least $ ______.
What is the maximum amount? You can earn up to $ ____.

Answers

The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

To learn about Domain

brainly.com/question/29452843

#SPJ11

Identify the location of the values square root of 10, square root of 13, and twenty two ninths on the number line.

Number line with points plotted at two and four tenths labeled point A, three and two tenths labeled point B, and three and six tenths labeled Point C.

Point A is twenty two ninths, point B is square root of 10, and point C is square root of 13.
Point A is square root of 10, point B is square root of 13, and point C is twenty two ninths.
Point A is twenty two ninths, point B is square root of 13, and point C is square root of 10.
Point A is square root of 10, point B is twenty two ninths, and point C is square root of 13.

Answers

The location of the values square root of 10, square root of 13, and twenty two ninths on the number line will be A. Point A is twenty two ninths, point B is square root of 10, and point C is square root of 13.

How to calculate the square root?

The square root of 10 will be 3.16

The square root of 13 will be 3.6

Twenty two ninths will be 22/9 = 2.44

Therefore, the location of the values square root of 10, square root of 13, and twenty two ninths on the number line will be Point A is twenty two ninths, point B is square root of 10, and point C is square root of 13.

In conclusion, the correct option is A.

Learn more about square root on:

brainly.com/question/28326994

#SPJ1

What is the major difference between the alternate hypothesis and the null hypothesis?.

Answers

The null hypothesis of a test always predicts no effect or no association between variables, but the alternative hypothesis reflects the effect or relationship that your research predicts.

Hypothesis;-

A put forward explanation for a phenomenon is called a hypothesis (plural: hypotheses).

A hypothesis cannot be called a scientific hypothesis unless it can be tested using the scientific process. Observations from the past that cannot be fully explained by the body of knowledge at this time often serve as the foundation for scientific ideas.

A scientific hypothesis is distinct from a scientific theory, despite the fact that the phrases "hypothesis" and "theory" are sometimes used interchangeably.

A working hypothesis is a theory that has been accepted provisionally and is put forth for further investigation[1], beginning with an educated guess or way of thinking.

As a result, the alternative hypothesis of a test indicates the effect or relationship that your research predicts, whereas the null hypothesis of a test always predicts that there will be no effect or no association between variables.

Learn more about hypothesis here;

https://brainly.com/question/29708875

#SPJ4

How much, in total, did Noel spend to cash her three most recent paychecks?

How much, in total, did Noel spend to cash her three most recent paychecks?

Answers

The total amount of money that was spent by Noel to cash her three (3) most recent paychecks is equal to $10.99.

What is a paycheck?

A paycheck can be defined as a financial document that is issued by an employer to an employee as payment for the work done over a period of time.

How to calculate the amount spent.

From the table, we can see that the amount of money charged by the bank as check processing fee is equal to $1.99, as well as 1.99% (0.0199) of the amount being cashed by a customer.

Thus, we would compute the amount of money spent by Noel as follows:

Noel = (0.0199 × 100.53) + (0.0199 × 119.38) + (0.0199 × 122.52) + (1.39 × 3)

Noel = 2.00 + 2.38 + 2.44 + 4.17

Noel = $10.99.

Read more on paycheck here: https://brainly.com/question/26174938

Please check the attached picture, please answer thoroughly!

Please check the attached picture, please answer thoroughly!

Answers

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

for more such question on intended visit

https://brainly.com/question/31252264

#SPJ8

assuming the population standated deviation is known, which of the following statements is true about the standard deviation of the sample mean x

Answers

Assuming the population standard deviation is known and the standard deviation of the sample mean x : option (b) is correct : the standard error of the sample mean decreases.

Central Limit theory:

In probability theory, the central limit theorem (CLT) states that the distribution of a sample variable approximates a normal distribution (i.e., a “bell curve”) as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population's actual distribution shape.

Standard deviation:

Standard deviation is a calculation of the dispersion or variation in a set of numbers. If the standard deviation is a small number, it means the data points are close to their average value. If the deviation is large, it means the numbers are spread out, further from the mean or average.

There are different ways to write out the steps of the population standard deviation calculation into an equation. A common equation is:

                          σ = ([Σ(x - u)2]/N)1/2

Where:

σ is the population standard deviation

Σ represents the sum or total from 1 to N

x is an individual value

u is the average of the population

N is the total number of the population

Sample Mean:

A sample mean is an average of a set of data . The sample mean can be used to calculate the central tendency, standard deviation and the variance of a data set. The sample mean can be applied to a variety of uses, including calculating population averages.

Learn more about Standard Deviation:

https://brainly.com/question/23907081

#SPJ4

The function table below is intended to represent the relationship y = 5x-1. However, one of the entries for y does not correctly fit the relationship with x.

Answers

Solution

We have the following info:

x y

1 4

2 8

3 14

4 19

The relationship is:

y= 5x-1

If we look for the second row we have this:

y= 5*2 -1 = 10 -1= 9

Then we can conclude that the incorrect value is:

x=2

a family has 5 natural children and has adopted 2 girls. each natural child has equal probability of being a girl or a boy, independent of the other children. find the pmf of the number of girls out of the 7 children.

Answers

PMF probability mass function:

2 - 0.03125, 3 - 0.15625, 4 - 0.3125, 5 -0.3125, 6 - 0.15625, 7 - 0.03125.

Define the term Probability?

The probability of such a function is the degree to which an event will occur as a rational number.

A family has 2 adopted girls and 5 biological daughters.

Each naturally occurring child does have an equal chance of being a boy or a girl.

Out of the seven offspring, the probability mass function for girls is as follows:

B should stand for Boy, and G should stand for G.

Consequently, this is the probability mass function:

P(GGBBBBB) = ⁵C₀ x (0.5)⁰ x (0.5)⁵

                      = 0.03125

P(GGGBBBB) = ⁵C₁ x (0.5)¹ x (0.5)⁴

                      = 0.15625

P(GGGGBBB) = ⁵C₂ x (0.5)² x (0.5)³

                      = 0.3125

P(GGGGGBB) = ⁵C₃ x (0.5)³ x (0.5)²

                      = 0.3125

P(GGGGGGB) = ⁵C₄ x (0.5)⁴ x (0.5)¹

                      = 0.15625

P(GGGGGGG) = ⁵C₀ x (0.5)⁵ x (0.5)⁰

                      = 0.03125

Thus, the probability mass function for girls out of the 7 children is obtained.

To know more about the Probability, here

https://brainly.com/question/13604758

#SPJ4

Find g(3) -7
help please

Find g(3) -7help please

Answers

Answer:

- 10

Step-by-step explanation:

g(x) = - x² + 2x

g(3) - 7 = - (3)² + 2(3) - 7 = - 10

Consider the nonhomogeneous system 2x; – 6x2 + 3x3 = -4 -x} + x2 + x3 = 5 2.x, + 6x, -5x, = 8 Determine an inverse matrix by using adjoint's method. Find the unique solution of the linear system

Answers

The unique solution of the linear system is given by:

x1 = 43/5 + x/2 - x2/10 + x3/10

x2 = 11/5 + x/10 - x2/10 + x3/10

x3 = -2 - 2x/5 + x2/10 + x3/10

For finding the inverse matrix using the adjoint method, follow these steps:

Step 1: Write the given system of equations in matrix form:

 [ 2  -6   3  | -4 ]

 [-1    1     1  |  5 ]

 [ 2   6  -5  |  8 ]

Step 2: Define matrix A as the coefficient matrix:

A = [ 2  -6   3 ]

      [-1    1    1 ]

      [ 2   6 -5 ]

Step 3: Define matrix B as the column vector of constants:

B = [ -4 ]

     [  5 ]

     [  8 ]

Step 4: Calculate the matrix of cofactors, C, and the matrix of minors, M:

C = [ C11  C12  C13 ]

     [ C21 C22 C23 ]

     [ C31 C32 C33 ]

M = [ M11  M12  M13 ]

     [ M21  M22 M23 ]

     [ M31  M32 M33 ]

Step 5: Calculate the determinant of A, denoted as |A|, using the formula:

|A| = 2C11 - 6C12 + 3C13

Step 6: Find the adjugated matrix, adj(A), by transposing the matrix of cofactors, C.

Step 7: Calculate the inverse matrix, A^(-1), using the formula:

A^(-1) = adj(A) / |A|

Step 8: Substitute the corresponding values for Cij and |A| to find A^(-1).

Step 9: Solve the system of equations by multiplying both sides of the matrix equation by A^(-1).

Therefore, the inverse matrix is found, and the unique solution of the linear system is obtained.

Learn more about inverse matrices:

brainly.com/question/32710292

#SPJ11

HELPPPPPPPPP
Which table represents a quadratic function?
A-first pic
B-second pic
C-third pic
D-last pic

HELPPPPPPPPPWhich table represents a quadratic function?A-first picB-second picC-third picD-last pic
HELPPPPPPPPPWhich table represents a quadratic function?A-first picB-second picC-third picD-last pic
HELPPPPPPPPPWhich table represents a quadratic function?A-first picB-second picC-third picD-last pic
HELPPPPPPPPPWhich table represents a quadratic function?A-first picB-second picC-third picD-last pic

Answers

Answer:

D-last pic

Step-by-step explanation:

Check the rate of change in the f(x) column.

The first 3 have linear change (arithmetic sequence) and the last one has different pattern.

Correct option is D

The quotient of 462 and 28 written in decimal notation is.

Answers

The quotient of 462 and 28 is 16.5 when written in decimal notation.

To calculate this, you divide 462 by 28:

462 ÷ 28 ≈ 16.5

The division process involves dividing the digits of the dividend (462) by the divisor (28) and obtaining the result. In this case, the result is approximately 16.5. The decimal point is placed after the digit 5, indicating the presence of a fractional part.

Please note that this is an approximation because the exact result would involve an infinite decimal expansion, which is typically rounded to a certain number of decimal places for practical purposes.

To know more about quotient,

https://brainly.com/question/29053761

#SPJ11

was solving an equation, but when he checked his answer, he saw his solution was incorrect.
He knows he made a mistake, but he can't find it. Where is Diego's mistake and what is the solution to the equation?
- 4(7 - 2x) = 3(x + 4)
-28-8x = 3x + 12
- 28 = 11x + 12
- 40 = 11x
06
11
ーン

Answers

The solution to the equation is x = 16/11.

what is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

Diego's mistake is in the step where he subtracts 3x from both sides of the equation. The correct subtraction should be 28, not 12.

Here's the correct solution:

4(7 - 2x) = 3(x + 4)

28 - 8x = 3x + 12

28 - 12 = 3x + 8x

16 = 11x

x = 16/11

Therefore, the solution to the equation is x = 16/11.

To learn more about algebra from the given link:

https://brainly.com/question/24875240

#SPJ1

Suppose that a team of campaign volunteers surveyed 175 likely voters to gauge support of a school levy that will be on the ballot in an upcoming election. Respondents were asked whether they support the levy and whether they have children attending school in the district. The results of this survey are shown below. Support Levy Opposed to levy
71 23 Have children attending school in district Have no children attending school 43 38
in district
Click to download the data in your preferred format if you wish. Crunchſt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc Determine the probability, P(support children), that a randomly selected respondent supports the levy given that he or she has children attending school in the district. Give your answer as a decimal, precise to three decimal places. P(support children) = Determine the probability, P(children | support), that a randomly selected respondent has children attending school in the district given that he or she supports the levy. Give your answer as a decimal, rounded to three decimal places. P(children | support) =

Answers

The values of probabilities P(support children) and P(children | support) are 0.755 and  0.623 respectively.

To determine the probability P(support children) that a randomly selected respondent supports the levy given that he or she has children attending school in the district, we can follow these steps:

1. Find the number of respondents with children attending school in the district who support the levy. In this case, it is 71.


2. Find the total number of respondents with children attending school in the district.

This is 71 (support levy) + 23 (opposed to levy) = 94.


3. Divide the number of respondents supporting the levy with children attending school by the total number of respondents with children attending school:

P(support children) = 71/94 = 0.755

To determine the probability P(children | support) that a randomly selected respondent has children attending school in the district given that he or she supports the levy, follow these steps:

1. Find the number of respondents supporting the levy who have children attending school in the district.

This is 71 (as calculated earlier).


2. Find the total number of respondents who support the levy.

This is 71 (have children attending school) + 43 (have no children attending school) = 114.


3. Divide the number of respondents with children attending school who support the levy by the total number of respondents who support the levy:

P(children | support) = 71/114 = 0.623



Learn more about probability:

https://brainly.com/question/13604758

#SPJ11

The marginal price dpdx at x units of demand per week is proportional to the price p. There is no weekly demand at a price of $100 per unit [p(0)=100]​, and there is a weekly demand of 4 units at the price of $78.38 per unit [p(4)=78.38]. Use the given information to answer the questions.
Question content area bottom
Part 1
a) Find the​ price-demand equation.
p(x)=enter your response here
(Type an exact answer in simplified form. Round all decimal values to the nearest hundredth as​ needed.)

Answers

The price-demand equation is p(x) = -5.64x + 100

How to find the price-demand equation.

We can use the given information to set up a system of two equations.

The first equation is p(0) = 100, which tells us that when there is no demand, the price is $100 per unit.

The second equation is p(4) = 78.38, which tells us that when there is a demand of 4 units per week, the price is $78.38 per unit.

We can use these two equations to solve for the slope and y-intercept of the line that represents the relationship between price and demand.

Solving for the slope, we get dp/dx = (78.38 - 100)/(4 - 0) = -5.64.

Since we know that the marginal price dp/dx at x units of demand per week is proportional to the price p, we can write dp/dx = kp, where k is a constant of proportionality.

Substituting in our value for dp/dx and solving for k, we get k = -5.64/100 = -0.0564.

Now we can use the point-slope form of a linear equation to write the price-demand equation: p - 100 = -0.0564(x - 0), which simplifies to p(x) = -5.64x + 100.)

Learn more about demand at

https://brainly.com/question/25910814

#SPJ11

carly got a model train set for her birthday, and it came with 200 assorted pieces of train track. she randomly picks some pieces of track out of the box. so far, she has picked 8 straight, 7 curved, 4 cross, and 5 switch tracks. based on the data, what is the probability that the next piece of track carly picks will be straight?

Answers

The probability that the next piece of track Carly picks will be straight is 8/24 or 1/3

From the given information, Carly has picked 8 straight, 7 curved, 4 cross, and 5 switch tracks.

The total number of pieces of the track she has picked is 8 + 7 + 4 + 5 = 24

The probability that the next piece of track Carly picks will be straight is calculated as follows:

Probability = Number of straight tracks/Total number of tracks= 8/24= 1/3T

Therefore, the probability that the next piece of track Carly picks will be straight is 1/3.

Know more about Probability here :

https://brainly.com/question/24756209

#SPJ11

Answer: 1/3

Step-by-step explanation: i did this question and got it right

solve quadratic equation by graphing x2-4x=0

Answers

Answer

Vertex = (2, -4)
Y intercept = (0, 0)
X intercept ( 4, 0)

See attached

solve quadratic equation by graphing x2-4x=0

\( 8 d \) transformation is be applied to Select one: a. disjoint b. overlap

Answers

Transformation doesn't depend on the shape of the figure if it has an overlap or not

The transformation \(8d\) can be applied to a figure with overlap or not with overlap.

Transformations are operations on a plane that change the position, shape, and size of geometric figures.

When a geometric figure is transformed,

its new image has the same shape as the original figure.

However,

it is in a new position and may have a different size.

Let's talk about different types of transformations.

Rotation:

It occurs when a shape is turned around a point, which is the rotation center.

Translation:

It moves the shape from one point to another on a plane.

Reflection:

It is an operation that results in the mirror image of the original shape.

Scaling:

The shape is transformed by changing the size without changing its orientation.

Transformation on \(8d\):

In the given problem, the transformation of \(8d\) can be applied to the figure with or without overlap.

This means that \(8d\) transformation doesn't depend on the shape of the figure if it has an overlap or not.

To Know more about rotation visit:

https://brainly.com/question/1571997

#SPJ11

Other Questions
On June 30, 2019, AJ Specialties Ltd, received its bank statement from RBC, showing a balance of $13.410. The company's gege showed a cash balance of $13,757 at that date. A comparison of the bank statement and the accounting reconds revealed the owns information: 1) The company had written and mailed out cheques totaling $3,150 that had not yet cleared the bank 2) Cash receipts of 51,125 were deposited after 3.00 p.m, on June 30. These were not reflected on the bank statement for lune 3) A cheque from one of Ar's customers in the amount of $260 that had been deposited during the last week of June was returned with the bank m 4) Bank service charges for the month were $32. 5) Cheque #2166 in the amount of $920 which was a payment for office supplies was incorrectly recorded in the general ledger $250 6) During the month, one of AJ's customers paid by electronic funds transfer. The amount of the payment, $550, was not recorded in the general ledger equired: (8 marks) Fepare a bank reconciliation as at June 30, 2019. How do I start a percentage See where you can find cool animals around the world. Where can youfind1. Axolotl?20N, 105W2. Markhors?30N, 70E3. Red Pandas?30N, 105E4. Narwhals?75N, 05. Okapis? This is it number five0, 20E6. Banana Slugs?40N, 120W Which of the following are sustainability projects covered in the report on 'The Future of Cities' (select all that apply, there are one to four possible correct answers)?Bricks made out of discarded plastic in Karachi, PakistanA floating schoolhouse in Makoko, Nigeria, that allows kids to continue their schooling even during times of floodingA fog catcher to collect water from the air in PeruWater bottles turned into solar lightbulbs in Manila, PhilippinesThe first smart city, Songdo, South Korea, with highly efficient infrastructure and a waste management system that carries trash and recyclables through underground tunnels to their processing facilitiesAn electric rickshaw that residents in Santiago de Chile can ride for free This civilization conquered almost all of Western Europe and allowed free movement from province to province once you became a citizen. Question 15 options:GreeceRomeEgypt Persia Convert 0.4 J to kJ. Please show working in a study, researchers studied a christian school by sitting in the back of a classroom and taking notes without interacting much with anyone, though they nodded and raised their hands when the teacher asked general class questions. the researcher is best referred to as a(n) Ethan earns $10 every hour for walking Ms. Barn's two dogs, plus an additional $7for brushing the dogs after their walk. If Ethan earned $32 on Monday, findthe equation which best represents the situation? a motorboat can maintain a constant speed of miles per hour relative to the water. the boat makes a trip upstream to a certain point in minutes; the return trip takes minutes. what is the speed of the current? What are the products of dna replication composed of? Help pls! 37 points. Please answer question 8 1. What is the density of a block with a mass of 36 g and a volume of 9 cm3?A. 45 g/cm3B.27 g/cm3C.4 g/cm3D. 0.25 g/cm3Plsss help Bach and Handel were both born in 1685, the same year as George Washington. Both lived during, and were leaders in, the Baroque Period, but were very different in many ways. Do you have a preference? Why? please help meee ;((( Which is the correct answer for 36 = 4 x 9A) 4 is 9 times as many as 36B) 9 is 4 times as many as 36C) 36 is 9 times as many as 4D) 36 is 4 times as many as 9 Kiran and clare live 24 mile away from each other along a rail trail. One Saturday the two friends started walking toward each other along a trail at 8:00 am with a plan to have a picnic when they meet. Kiran says "If I walk 3 miles per hour toward you, and you walk 3.4 miles per hour toward me, it's the same as if you stay put and I jog 6.4 miles per hour." Question 1. If you were to engineer some non- adhesive cells to express E-cadherin at either high levels or low levels and then mixed the E-cadherin high cells with the E-cadherin low cells, what do you predict will happen? Can someone tell me how to get the words step by step explanation and answer bold when answering a math question? I also want to know how to get the numbers/equations in that italic font. Shown below is the formation reaction of ammonia. How does the catalyst used in the industrial production of ammonia affect the activation energies of the forward and reverse reactions?N2+3H22NH3A. activation energy decreased for the forward reaction, increased for the reverse reactionB. activation energy increased for the forward reaction, decreased for the reverse reactionC. activation energy decreased both the forward and reverse reactionsD. activation energy increased for both the forward and reverse reactions