A football match started by 10.25am and ended by 1.35pm. how long did it last?​

The area of the rectangle is A = L w, A = 4 * 3√5 = 12√5 Unit²

What is rectangle short answer?

the points (-1 , 2) and (3 , 2 ) form one the of the rectangle w =     \(\sqrt{( 3 + 1 )^{2} + ( 2 - 2 )^{2} }\)

= \(\sqrt{4^{2} + 0 }\)

= √ 16

= 4

The length can be obtained by finding distance between the points (-1,2) and ( -1, - 5)  = \(\sqrt{( -1 -2 )^{2} + ( -5 + 1)^{2} }\)

                 = \(\sqrt{(-3)^{2} + ( -6)^{2} }\)

                 = √9 + 36

                  = √45 = 3√5

The perimeter of the rectangle is: P = 2( w + L) = 2( 4 + 3√5) ⇒ 8 + 6√5 unit

The area of the rectangle is A = L w, A = 4 * 3√5 = 12√5 Unit²

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According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

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Answer:

-7

-3

28

-3

-6

-20

-6

-42

6

15

The number of valid solutions is the return value of the solution function.

To solve this problem, we can use a brute force approach by generating all possible combinations of digits for the letters in the cryptarithm. Since there are at most 10 digits (0-9) and the length of each word can be at most 35, the number of combinations to check is manageable.

We can start by creating a list of unique letters in the cryptarithm to determine the total number of variables. Then, we generate all possible permutations of the digits from 0 to 9 using itertools.permutations. For each permutation, we assign the digits to the corresponding letters and check if the arithmetic equation holds true. We need to consider the constraint that no leading digit can be zero.

If we find a valid solution, we increment a counter. After checking all possible permutations, we return the counter as the number of valid solutions.

Here's the implementation:

from itertools import permutations

def solution(crypt):

   letters = set(''.join(crypt))

   counter = 0

   for perm in permutations(range(10), len(letters)):

       if 0 in perm and (crypt[0][0] in letters or crypt[1][0] in letters or crypt[2][0] in letters):

           continue

       mapping = dict(zip(letters, perm))

       nums = [int(''.join(str(mapping[ch]) for ch in word)) for word in crypt]

       if nums[0] + nums[1] == nums[2]:

           counter += 1

   return counter

The time complexity of this solution is proportional to the number of permutations, which is at most 10!. Since the maximum number of permutations is relatively small, this solution should run within the given time limit.

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Answer:

x=4/9

Step-by-step explanation:

We first let 0.4 (4 being repeated) be x.

10x=4.4

10x-x=4.4-0.4

9x=4

x=4/9

Answer:

1

Step-by-step explanation:

From -3 to -7 the distance is 4 (-3--7=4). Midpoint means that point -3 bisects the segment into two equal parts. So, the other endpoint is 4 units away from -3. Since -3+4=1, 1 is answer.

Answer:

42,195

Step-by-step explanation:

Answer:

3-4

Step-by-step explanation:

the square root of 14 is 3.7.....

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Answer:

180 orange marbles

Step-by-step explanation:

the 2 part of the ratio refers to the amount of yellow marbles.

divide amount of yellow marbles by 2 to find the value of one part of the ratio.

120 ÷ 2 = 60 ← value of 1 part of the ratio , then

3 parts = 3 × 60 = 180 ← number of orange marbles

Answer:

Slope intercept form is y=-5/2x+9

Step-by-step explanation:

the y-intercept is −9 and the point is (0,−9)

the x-intercept is −3.6 and the point is (−3.6,0)

Explanation:

First, we find the slope and y-intercept

Now, the equation of a line is of the form

y=mx+c

Where,

m is the slope of the line and c is the y-intercept.

Let us write the given line in the standard form:

y=−5x2−82⇒y=−5x2−9

Comparing y=mx+c

to the given equation, y=−5x2−9

m=−52 and c=−9⇒Slope =−52and

y-intercept =−9

Next, we work out the

x-intercept.

the x-intercept is the point where the line cuts the x-axis. i.e. to find the point when y=0.

The equation in slope-intercept form for the line is y = -5x/2+9

The slope intercept formula y = mx + c is used when you know the slope of the line to be examined and the point given is also the y intercept (0, c).

Given that, a line has equation 5x + 2y = 18

The general form of the slope-intercept form for the line is y = mx+c, where m is the slope and c is the y-intercept.

Therefore, the required equation will be =

5x+2y = 18

2y = 18-5x

y = -5x/2+9

Hence, the equation in slope-intercept form for the line is y = -5x/2+9

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Solving for Y

3x+y=2

y=2-3x

y=2-3x,x R

Solving for X

3x+y=2

3x=2-y

x= 2/3-1/3y

x=2/3-1/3y

Find the x-intercept

3x+y=2

3x+0=2

3x=2

x=2/3

Find the y-intercept

3x+y=2

3 times 0+y=2

y=2

Answer:

correct answer is (3)

Methord in the pic

Answer:

10/8 or 5/4

Step-by-step explanation:

It is pretty easy. If you look at the problem it says "1/8 of a gram of honey to make 1/10 of a cake" That means that we should multiply 1/8 by 10 so it will become a whole cake.

1/8 * 10 = 10/8

If you want we can simplify it.

5/4

And that's your answer!

The number of squares in a 10*10 chessboard would be

= 1² + 2² + 3² + 4²+ ............... + 10² = 204 + 9² + 10² = 385.

What is a square?

As a square has four equal sides and four equal angles, it is a regular quadrilateral. It can alternatively be explained as a rectangle with two neighbouring sides that are of equal length.

Given,

The number of squares in an 8*8 chessboard = 204

The squares are of varying sizes.

This can be solved when starting with 1 square.

          number of  squares of dimension  1 * 1 = 4 squares

              number of  squares of dimension 2*2 = 1 square

               So total number of squares in 2*2 = 1 +4  = 1² + 2²

        number of squares of dimension 1*1 = 9

         number of squares of 2 *2 = 4

       number of squares of 3 * 3 = 1

So total number of squares =  1 + 4 + 9 = 1² + 2² + 3²

        Number of 1*1 = 16

  number of 2*2 =  9

  number of 3*3 = 4

number of 4*4 = 1

Total number  = 1 + 4 + 9 + 16 = 1² + 2² + 3² + 4²

For 8*8 = 1² + 2² + 3² + 4² + ........... + 8² = 204

Therefore the number of squares in a 10*10 chessboard would be

= 1² + 2² + 3² + 4²+ ............... + 10² = 204 + 9² + 10² = 385.

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Answer:

Relation 1,2,and 4 are functions, but relation 3 not is a function.

Step-by-step explanation:

function 1 input, no function with the same input like m in relation 3.

The arrival rate is found to be 30 emails per hour and the service rate is calculated to be 45 emails per hour.

It has been mentioned in the question that in every 2 minutes, customers send emails to a help desk of an online retailer, on an average, and the standard deviation of the inter-arrival time is also given to be 2 minutes. The online retailer has three employees for answering those emails.

It takes almost 4 minutes to write a response email to the customer, on average. The standard deviation (SD) of the service times is 2 minutes. This is a g/g/k type queue.

Therefore the arrival rate per hour is given by the following relation:

Arrival rate in 1 hr = No. of minutes in an hr / inter arrival time of email taken in minutes

Given here,

No. of minutes in an hour = 60 minutes

Inter arrival time of the email taken in minutes = 2 minutes

∴ Arrival rate in 1 hr = 60 / 2

                                = 30 emails / hr

Hence the arrival rate is 30 emails per hour.

Now for finding out the service rate we have the following formula:

Service rate = No. of minutes in an hr x No. of employes answering/ average time that is required to write response email

Given here,

No. of minutes in an hr = 60 minutes

No. of employes answering = 3

Average time that for writing response email = 2 minutes

∴ Service rate = 60 * 3 / 4

                       = 45 emails / hr

Hence the service rate is 45 emails per hour.

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Answer:

The count of the basic operation in the algorithm for an instance of input size n=10² is: C(10²) = (10²)² log10 ((10²)³) = (10,000) log10 (1,000,000) ≈ 40,000

The total running time of the algorithm can be estimated using: T(n) = 0.9 * C(n) * C where C is the time taken by the basic operation.

In this case, C = 2ns or 2 x 10⁻⁹s. Substituting the values, we get: T(10²) = 0.9 * 40,000 * 2 x 10⁻⁹ = 7.2 x 10⁻⁶ s

Converting this to minutes, we get: 7.2 x 10⁻⁶ s * 1 min/60 s ≈ 1.2 x 10⁻⁷ min

Therefore, the estimated total running time of the algorithm to solve a problem instance with input size n=10² is approximately 1.2 x 10⁻⁷ minutes.

Step-by-step explanation:

The estimated total running time of the algorithm to solve a problem instance with input size n=10² is approximately 1.998 minutes.

To estimate the total running time of the algorithm, we need to calculate the number of times the basic operation is executed and multiply it by the time it takes to execute it.

First, let's calculate the number of times the basic operation is executed for an input size of n=10². We can do this by plugging n=100 into the equation for C(n):

C(100) = 100² log10 (100³)

C(100) = 10000 log10 (1000000)

C(100) = 10000 * 6

C(100) = 60000

So the basic operation is executed 60,000 times for an input size of n=10².

Next, let's calculate the time it takes to execute the basic operation:

C = 2ns

C = 2 * 10^-9 s

C = 2 * 10^-9 / 60 (converting to minutes)

C = 3.33 * 10^-11 min

Finally, we can estimate the total running time of the algorithm:

Total running time = basic operation time * number of times basic operation is executed

Total running time = 3.33 * 10^-11 min * 60,000

Total running time = 1.998 min

Therefore, the estimated total running time of the algorithm to solve a problem instance with input size n=10² is approximately 1.998 minutes.

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The probability that the last passenger end up in his/her assigned seats is 0.20.

In the given question, there are 6 people in line to board a plane with 6 seats.

The first person has lost his boarding pass, so he takes a random seat.

Everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat.

We have to find the probability the last passenger ends up in his/her assigned seat.

Given 6 people with 6 Seats.

The probability that the last passenger end up in his/her assigned seats = 1/5

The probability that the last passenger end up in his/her assigned seats = 0.20.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

It is expected that 300 participants out of the 900 who participate in the survey would receive a coupon for sleigh rides.

To determine the number of participants expected to receive a coupon for sleigh rides, we need to divide the total number of participants (900) by the number of coupon options (3) since each option has an equal chance of being received.

The expected number of participants receiving a coupon for sleigh rides can be calculated as follows:

Total participants / Number of coupon options = Expected number of participants receiving a sleigh ride coupon

900 participants / 3 coupon options = 300 participants.

Therefore, it is expected that 300 participants out of the 900 who participate in the survey would receive a coupon for sleigh rides.

It's important to note that this calculation assumes an equal chance of receiving each type of coupon and does not consider any specific preferences or biases that participants may have.

The calculation is based on the assumption of a random distribution of coupons among the participants.

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Answer:

It's at the beginning of x+4, the 2nd symbol of 4x-4, and the beginning of X+1.

Step-by-step explanation:

No explanation for you! Just choose them! It's right!

Answer: Should be 13

Step-by-step explanation:

The length of the segment M′E′ when segment ME  is rotated 270∘ counterclockwise about the origin is 13 inches.

Rotation of a figure is the transformation of it about a point in either clockwise or anticlockwise direction. By rotating, a figure changes the point of the figure.

For example, let suppose a line segment has the end point (0,3) and (0,6). By rotating it from one of its end point (0,3) 90 degree clockwise will change its location.

The new location of the line will be (0,3) and (3,3) as it is rotated  90 degree clockwise. Here, the initial length of the line is 3 units. After the rotation, the length is still 3 units long.

So, it can be concluded that rotation of a figure does not change the length of it.

The rotation of a line segment does not change the length of it. Hence, the length of the segment M′E′ when segment ME  is rotated 270∘ counterclockwise about the origin is 13 inches.

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When the inequality sign will be changed, the system of inequalities will have a solution.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The solution of the system of inequalities y>2x+(2/3) and y<2x+(1/3) will have no solution as can be seen below, in the first graph.

The solution of the system of inequalities y<2x+(2/3) and y>2x+(1/3) will have a solution of x and y as,

(-1/3) < x < (-1/6)

(1/3) < y < (2/3)

Hence, when the inequality sign will be changed, the system of inequalities will have a solution.

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The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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Answer:

y- 24 = -5 (x+6)

Step-by-step explanation:

In order to find the slope, you need to put it in the form y2-y1/ x2-x1. With this set up it would look like (-31-24)/ 5+6. This gives you -55/11 which can be simplified to -5. You then have to put it in the form y-y1= m(x-x1) (m is your sloe) and that is how you get the answer y-24= -5(x+6)

Answer:

Step-by-step explanation:

The two have a total of 5+2 = 7 "ratio units" so have a total of 140 cars.

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The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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