Marco walked 27/100 kilometer to the park. Then he walked 3/10 kilometer to the library. What fraction of a kilometer did walk in all. The answers are 57/100. 30/10. 30/100 57/10

Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function

Step-by-step explanation:

M(-2, 7)

13 units away from point M similar to the radius of the circle with the center Point M.

so, the point of N(x, y) could be anywhere and should follow the rules :

(x +2)²+(y-7)² = 13² or

(x + 2)² + (y -7)² = 169

The N(x, y) point should match with circle equation (y + 2)² + (x - 7)² = 169.

What is general form of equation of circle ?

We should know about the circle equation first. It can be written as

(y - y1)² + (x - x1)² = r²

where r is the radius of the circle and the middle point is (x1, y1).

From the question above, we know that:

the middle point is ( -2, 7)

the radius is = 13

By substituting the parameters, we can determine the N(x,y)

(y - y1)² + (x - x1)² = r²

(y - (-2))² + (x - 7)² = 13²

(y + 2)² + (x - 7)² = 169

Hence, the N(x, y) point should match with circle equation (y + 2)² + (x - 7)² = 169.

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Answer:

HCF=4

LCM=10080

HCF x LCM = Product of the two given numbers is verified because 403200=40320

Step-by-step explanation:

HCF of 160 and 252

HCF is the product of common prime factors

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

HCF= 2x2

HCF=4

40 and 63 doesn't come in any other table together so,

HCF= 2 x 2 = 4

Now, finding LCM of 160 and 252

LCM is the product of all factors of both numbers, while if any factor is common, it is considered once.

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

In the given factors 2x2 is common so, it is considered once.

LCM= 2x2x2x2x2x3x5x7

LCM= 10080

Now, checking:

HCF x LCM = Product of the two given numbers.

4x10080=160x252

403200=40320

So, It is verified that HCF x LCM = Product of the two given numbers.

A 2 x 2 matrix A such that -3 [B] and B - -3 - are eigenvectors of A with eigenvalues 5 and -1, respectively is given by\[A is (5 - 3)(-3 - 3)\]\[A = 2(-6)\]\[A = -12\]

Thus, the matrix A is -\[A = \begin{bmatrix}-12 & 0\\ 0 & -12\end{bmatrix}\]  we can choose A to be any matrix.

Step-by-step answer:

We are given that -3 [B] and B - -3 - are eigenvectors of A with eigenvalues 5 and -1, respectively. Let v1 be the eigenvector corresponding to the eigenvalue 5.

Thus, Av1 = 5v1. Also, we have

v1 = -3[B],

so Av1 = A(-3[B])

= -3(A[B]).

Thus,-3(A[B]) = 5(-3[B]).\[AB

= -\frac{5}{3} B\]

Thus B is an eigenvector of A with the eigenvalue -5/3.Similarly, let v2 be the eigenvector corresponding to the eigenvalue -1.

Thus, Av2 = -v2. Also, we have

v2 = B - (-3)[B]

= 4[B].

Thus Av2 = A(4[B])

= 4(A[B]).

Thus,\[AB = -\frac{1}{4}B\]

Thus, B is an eigenvector of A with the eigenvalue -1/4. To solve for A, we can solve the system of equations given by\[AB = -\frac{5}{3}B\]\[AB = -\frac{1}{4}B\]

Multiplying the first equation by -4/15 and the second equation by -15/4, we get\[\frac{4}{15}AB = B\]\[-\frac{15}{4}AB

= B\]

Multiplying the two equations, we get\[(-1) = \det(AB)\]

Using the formula for the determinant of a product of matrices, we get\[\det(A)\det(B) = -1\]

Since B is nonzero, we have \[\det(B) \neq 0\].

Thus,\[\det(A) = -\frac{1}{\det(B)}\]

Since A is a 2 x 2 matrix, we have\[\det(A) = ad - bc\]where

A = [a b; c d].

Thus,\[-\frac{1}{\det(B)} = ad - bc\]

We know that B is an eigenvector of A, so AB = kB, where k is the eigenvalue of B. Substituting this in the expression for det(A), we get\[-\frac{1}{k} = ad - k\]

Using the eigenvalues of B, we get\[\frac{5}{3} = ad + \frac{5}{3}\]\[\frac{1}{4}

= ad + \frac{1}{4}\]

Solving for a and d, we get a = -6 and

d = -6.

Thus, A is given by\[A = \begin{bmatrix}-6 & 0\\ 0 & -6\end{bmatrix}\]

Note: Here, we are assuming that B is nonzero. If B is the zero vector, then it cannot be an eigenvector of any matrix except the zero matrix. In this case, we can choose A to be any matrix.

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Answer:

Step-by-step explanation:

Given information

x = 2

Given expression

2y - 5x + 10 = 0

Substitute values into the expression

2y - 5(2) + 10 = 0

Simplify by multiplication

2y - 10 + 10 = 0

2y = 0

Divide 2 on both sides

2y / 2 = 0 / 2

\(\boxed{y=0}\)

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

Given information

y = 5

Given expression

2y - 5x + 10 = 0

Substitute values into the expression

2(5) - 5x + 10 = 0

Simplify by multiplication

10 - 5x + 10 = 0

20 - 5x = 0

Add 5x on both sides

20 - 5x + 5x = 0 + 5x

20 = 5x

Divide 5 on both sides

20 / 5 = 5x / 5

\(\boxed{x=4}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(i) x = 2

Substituting value in the equation,

2y - 5(2) + 10 = 0

2y - 10 + 10 = 0

2y = 0

y = 0

(ii) y = 5

Substituting value in the equation,

2(5) - 5x + 10 = 0

10 - 5x + 10 = 0

20 - 5x = 0

20 = 5x

5x = 20

x = 20/5

x = 4

The profit made by Gavin at the end of the game is $0.87 per bottle.

The profit can be calculated by taking the difference of selling price and the cost price.

Given that,

The number of bottles bought for $18.50 is 48 and sold for $1.25 each.

Then, the cost for one bottle is 18.50/48 = $0.38.

As per the question the profit made can be calculated as the difference of selling price and cost price as,

Profit = Selling price - Cost Price

         =  1.25 - 0.38

         = $0.87

Hence, the profit earned by Gavin is given as $0.87 for each bottle.

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The line CD is the bisector line that divides the line segment AB into two equal parts that are AE = EB.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is the m:n ratio, finding the mid-point of the line, etc.

Make an opposite bisector of the Stomach muscle and mark the convergence point of line E. To check your outcome, measure AE and EB and the points between the bisector and Stomach muscle.

The line CD is the bisector line that divides the line segment AB into two equal parts that are AE = EB.

The diagram is given below.

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The smallest possible value of x is 8.

Given:

LCM of x and 60 = 240

240 = 2*2*2*2*3*5

= \(2^{4} *3*5\)

60 = 2*2*5*3

= \(2^2*5*3\)

so x must have the same primes as 240.

x = \(2^i*3^j*5^k\)

i<=4 and j,k <= 1

so,

x = \(2^4\)

x = 8.

Therefore the smallest possible value of x is 8.

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Answer:

44/100 will be reduced to 11/25

Step-by-step explanation:

Answer:

11/25

Step-by-step explanation:

First, we know 44% can be changed to 44/100, since 44 is 44% is 100.

Now, we can simplify 44/100:

44/100

= 22/50

= 11/25

So, 44% is equivalent to 11/25

Answer:

B

Step-by-step explanation:

i believe it's plot 1 & 2

The power of substitutes is one of the five forces in Porter's Five Forces framework and it is a measure of how easy it is for customers to switch to alternative products or services. The higher the power of substitutes, the more competitive the industry and the lower the profitability.

The power of substitutes is based on the premise that when there are readily available alternatives to a product or service, customers can easily switch to those alternatives if they offer better value or meet their needs more effectively. This poses a threat to the industry as it reduces customer loyalty and puts pressure on pricing and differentiation strategies.

The availability and quality of substitutes influence the degree to which customers are likely to switch. If substitutes are abundant and offer comparable or superior features, the power of substitutes is strong, increasing the competitive intensity within the industry. On the other hand, if substitutes are limited or inferior, the power of substitutes is weak, providing more stability and protection to the industry.

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1. 4 is the median.

2. 8.

Hope this helps T^T

Answer:

1) median

2) 8

Step-by-step explanation:

Median is whatever the middle number is which 4 in the first one and 8 in the second

Answer:

You are to write a five paragraph literary essay based on one of the 4 prompts and what you have read and learned in this module. These are your options:

1. How do the events of "The White Umbrella" teach the narrator a lesson about shame and acceptance?

2. What role does creativity play in "The Bat-Poet"?

3. How does the character of Squeaky change over the course of "Raymond's Run"?

4. Discuss the influences of older family members on the protagonists and speakers in the stories and poems of this unit.

You are to write a five paragraph literary essay based on what you have read and learned in this module. Your final submission should meet the following requirements.

• Submit completed pre-writing and outline documents.

• Write an essay that contains an introduction with hook and thesis statement, supporting paragraphs with evidence and at least one quotation, and a conclusion that restates the thesis and reviews main points.

• Use transitions appropriate to the pattern of organization.

• Use vocabulary to create tone and voice.

• Cite primary source (quotation).

• Submit completed revision checklist.

• Vary sentence structure.

• Create sentences with parallel structures.

• Use technology in the writing process.

Step-by-step explanation:

Part A:

Best graphical representation to display data will be line graph.

Given,

Scores of basketball team during the first 13 games of the season

{85, 94, 101, 118, 107, 110, 114, 96, 117, 105, 121, 88, 125}.

Now.

Part B:

We can create line graph with a very simple technique.

Firstly,

On x - axis take the number of season the team has played. In our case the number is 13 so take 13 distinct points on the x - axis.

Secondly,

On y -axis take the scores of the team in each of the 13 seasons corresponding to their values at x - axis.

Then,

Plot the points on the graph for all 13 seasons .

Last step,

Join all the points in the graph with the help of ruler. This will form the required line graph of the question.

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Answer:

Step-by-step explanation:

The transitive property of equality says--in very informal terms--if thing 1 = thing 2 and thing 2 = thing 3, then thing 1 = thing 3.  See how thing 2 appears twice?  That's a "spoiler alert" for this question.

So, what are thing 1, thing 2, and thing 3?

Take a look at how the answer space begins:  9y.  That must be thing 1 because the conclusion of the transitive property is thing 1 = ...

Now, what is mentioned twice?  2x.  That must be thing 2.

The remaining expression is thing 3: 10x - 8y + 3.

So it goes like this:

9y = 2x

2x = 10x - 8y + 3

Therefore, 9y = 10x - 8y + 3

Answer:

A

Step-by-step explanation:

option A has two linear equations that intersect at one point

option B has two linear equations that are parallel and do not intersect

option C has one linear equation and an absolute value equation that intersect at two points

option D has one linear equation and a quadratic equation that intersect at two points

In the big bucks lottery, there are chances that 10 out of 1000 people will win the lottery.

If there are 1000 people in the Big Bucks lottery and there is a 1 percent chance of winning 10 dollars prize if all 1000 people buy the lottery ticket of 10 dollars. If every person buys 10 dollar lottery ticket, then the chances of winning people would be calculated as follows:

Total number of People = 1000

Chances of winning the lottery = 1%

How many people would win 10 dollar lottery = 1000 * 1%

= 1000 * 0.01

= 10 People.

So there are chances that 10 out of 1000 people will win the lottery.

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We would expect to find the middle 98% of most pregnancies in the small rural village in the range of approximately 237 to 303 days.

We can use the properties of the normal distribution to determine the range in which we would expect to find the middle 98% of most pregnancies in the small rural village.

First, we need to find the z-scores associated with the upper and lower tails of the distribution that exclude the middle 2%. We can use a standard normal distribution table or calculator to find these values:

For the upper tail, the z-score is 2.33 (corresponding to a probability of 0.01 or 1%).

For the lower tail, the z-score is -2.33 (corresponding to a probability of 0.01 or 1%).

Next, we can use the formula for transforming a z-score into an actual value:

z = (x - μ) / σ

where z is the z-score, x is the actual value, μ is the mean, and σ is the standard deviation.

Substituting the values we know, we can solve for the upper and lower limits of the range:

For the upper limit:

2.33 = (x - 270) / 14

x - 270 = 32.62

x = 302.62

For the lower limit:

-2.33 = (x - 270) / 14

x - 270 = -32.62

x = 237.38

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There are 12 bit strings of length 5 that either begin with 01 or end with 110.

To count the number of bit strings of length 5 that either begin with 01 or end with 110, we can consider each case separately.

Case 1: Bit strings that begin with 01

In this case, the first two bits are fixed as 01. The remaining three bits can be either 0 or 1, so we have 2 possibilities for each of the remaining three positions. Therefore, there are 2^3 = 8 bit strings that begin with 01.

Case 2: Bit strings that end with 110

In this case, the last three bits are fixed as 110. The first two bits can be any combination of 0 or 1, so we have 2 possibilities for each of the first two positions. Therefore, there are 2^2 = 4 bit strings that end with 110.

To find the total number of bit strings that satisfy either condition, we add the number of bit strings from each case: 8 + 4 = 12.

There are 12 bit strings of length 5 that either begin with 01 or end with 110. The calculation involved considering each case separately and summing up the possibilities.

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Answer:

2

Step-by-step explanation:

slope = rise / run

rise = 20

run = 10

20/10 = 2

Answer:

2/15

Step-by-step explanation:

Answer: y=(2/5)x-3

Step-by-step explanation:

\(\displaystyle\\The\ slope=\frac{2}{5}\ \ \ \ \ (0,3) \\y=\frac{2}{5}x+b \ \ \ \ \ (1)\\\)

Substitute the coordinates of the point (0,3) into equation (1):

\(\displaystyle\\-3=(\frac{2}{5}) (0)+b\\\\-3=b\\\\Thus,\\\\y=\frac{2}{5}x-3\)

The tip of the man's shadow is moving at the speed of 2.25m/s.

Here, we are given-

Length of the pole = 6 meters

Height of the man = 2 meters

Speed of the man = 1.5 m/s

we can form a diagram as shown in the figure below.

Now as the two triangles are similar, the ratio of their sides will be equal-

2/ b = 6/ (a + b)

2(a + b) = 6b

2a + 2b = 6b

2a = 4b

a = 2b

Now, differentiating both sides with respect to time-

da/ dt = 2db/ dt

(1/2)(da/dt) = db/dt

Let a + b = c

⇒ dc/ dt = da/dt + db/dt

dc/ dt = da/dt + da/2dt

dc/ dt = 3/2 × da/ dt

Now, we know that the speed of the man is 1.5m/s ⇒ da/dt = 1.5

dc/dt = 3/2 × 1.5

= 2.25

Thus, the tip of the man's shadow is moving at a speed of 2.25m/s.

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Your question was incomplete. Check for full content below-

a street light is mounted at the top of 6 a -ft-tall pole. a man 2 ft tall walks away from the pole with a speed of 1.5m/s along a straight path. How fast is the tip of his shadow moving when he is 10ft from the pole?

Answer: $6335.76

Step-by-step explanation:

you would do 3,000 times 105% = 3450

then you would do 3450 times 105% = 3967.5 then you would do 3967.5 times 105% = 4562.62 then you would do 4562.62 times 105% = 5247.01 next you would do 5247.01 times 105% = 6034.06 finally you would do 6034.06 times 105% = 6335.76

Answer:

c=30

v=10

30+10=40

4*30=120

6*10=60

120+60=180

The sample mean for urban homes is approximately 22.64 EU/mg, and for farm homes, it is approximately 8.41 EU/mg. The sample medians are 17.0 EU/mg for urban homes and 8.0 EU/mg for farm homes. After removing the smallest and largest observations, the trimmed means are approximately 15.63 EU/mg for urban homes and 7.18 EU/mg for farm homes. The trimming percentage for both samples is approximately 13.33%.

(a) To determine the sample mean for each sample, we add up all the values in each sample and divide by the number of observations.

For urban homes (U):

Mean = (6.0 + 5.0 + 11.0 + 33.0 + 4.0 + 5.0 + 80.0 + 18.0 + 35.0 + 17.0 + 23.0) / 11

Mean ≈ 22.64 (rounded to two decimal places)

For farm homes (F):

Mean = (2.0 + 15.0 + 12.0 + 8.0 + 8.0 + 7.0 + 6.0 + 19.0 + 3.0 + 9.8 + 22.0 + 9.6 + 2.0 + 2.0 + 0.5) / 15

Mean ≈ 8.41 (rounded to two decimal places)

(b) To determine the sample median for each sample, we arrange the values in each sample in ascending order and find the middle value. If there are an even number of observations, we take the average of the two middle values.

For urban homes (U):

Arranging the values in ascending order: 4.0, 5.0, 5.0, 6.0, 11.0, 17.0, 18.0, 23.0, 33.0, 35.0, 80.0

Median = 17.0

For farm homes (F):

Arranging the values in ascending order: 0.5, 2.0, 2.0, 3.0, 6.0, 7.0, 8.0, 8.0, 9.6, 9.8, 12.0, 15.0, 19.0, 22.0

Median = 8.0

(c) To calculate the trimmed mean for each sample by deleting the smallest and largest observation, we exclude the smallest and largest values in each sample and calculate the mean of the remaining values.

For urban homes (U):

Trimmed Mean = (5.0 + 5.0 + 6.0 + 11.0 + 17.0 + 18.0 + 23.0 + 33.0) / 8

Trimmed Mean ≈ 15.63 (rounded to two decimal places)

For farm homes (F):

Trimmed Mean = (2.0 + 2.0 + 3.0 + 6.0 + 7.0 + 8.0 + 8.0 + 9.6 + 9.8 + 12.0 + 15.0) / 11

Trimmed Mean ≈ 7.18 (rounded to two decimal places)

The trimming percentage is the proportion of observations that are trimmed. In this case, we deleted the smallest and largest values, so the trimming percentage is 2 / 15 = 0.1333 or approximately 13.33% for both urban homes and farm homes.

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Exposure to microbial products, especially endotoxin, may have an impact on vulnerability to allergic diseases. The following are data on concentration (EU/mg) in settled dust for one sample of urban homes and another of farm homes.

U: 6.0 5.0 11.0 33.0 4.0 5.0 80.0 18.0 35.0 17.0 23.0    

F: 2.0 15.0 12.0 8.0 8.0 7.0 6.0 19.0 3.0 9.8 22.0 9.6 2.0 2.0 0.5

(a) Determine the sample mean for each sample. (Round your answers to two decimal places.)

urban homes EU/mg

farm homes EU/mg

(b) Determine the sample median for each sample.

urban homes EU/mg

farm homes EU/mg

c) Calculate the trimmed mean for each sample by deleting the smallest and largest observation. (Round your answers to two decimal places.)

urban homes EU/mg

farm homes EU/mg

What are the corresponding trimming percentages? (Round your answers to two decimal places.)

urban homes %

farm homes %

Answer:

thursday

Step-by-step explanation:

so the complete 100% accurate answer would be 0, youd have to pick the closest to that which is -2.

Answer:

The answer is Thursday -2.

Step-by-step explanation:

on edge

On solving the provided question we can say that on permutation choose which two of the six positions contain the two digits = 685464000

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order.

Assuming we regard upper and lower case letters as different, there are  52^4 ways = 7311616 ways

sequences of four letters and 100 sequences of two digits

there are 15 ways choose which two of the six positions contain the two digits = 685464000

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