If the perimeter of isosceles trapezoid ABCD is p, and , what is the value of y in terms of p ?
A. 5p/6
B. 7p/6
C. 3p/14
D. 3p/7
E. 10p/7

Answer:

slope =x2-x1/y2-y1

= 0-6/4-0

=-6/4

The weight of the man at the summit of Mt. Everest is 833 kg·m/s^2

The weight of an 85kg man at the summit of Mt. Everest can be calculated using the formula: Weight = mass × acceleration due to gravity.

The acceleration due to gravity is approximately 9.8 m/s^2. Therefore,

In terms of units, this can also be expressed as 833 Newtons (N). The weight represents the force with which the man is pulled towards the center of the Earth.

The weight of an object is directly proportional to its mass. In this case, the mass of the man is given as 85kg. By multiplying the mass by the acceleration due to gravity, we can calculate the weight of the man at the summit of Mt. Everest.

It's important to note that the weight of an object can vary depending on the location due to the variation in the acceleration due to gravity at different elevations. At higher altitudes, such as the summit of Mt. Everest, the acceleration due to gravity is slightly lower than at sea level. However, for this calculation, we have used the standard acceleration due to gravity of approximately 9.8 m/s^2 for simplicity.

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Answer:

1a. x=1/2              1b. x= 4

Step-by-step explanation:

1a. 30x= 16- 2x

(add 2x to both sides)

32x= 16

(divide both sides by 16)

x= 1/2

1b. 2(3x-5)=2x+6

(distribute the 2)

6x-10=2x+6

(add 10 to both sides)

6x=2x + 16

(subtract 2x from both sides)

4x= 16

(divide both sides by 4)

x=4

If person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available.

Mutually beneficial trades are the kind of trades that benefit both parties in a trade agreement. A mutually beneficial trade occurs when two countries or individuals trade and both benefit from the transaction. In the case where person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available. This is because person A would be more willing to trade his good Y for Person B’s good X since person A values good X more than good Y and person B would be more willing to trade his good X for person A’s good Y since person B values good Y more than good X. In this way, both parties would benefit from the transaction because they would be trading the goods they value less for the ones they value more.

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Answer:

√6(x−11)/6

Step-by-step explanation:

f^−1(x)=√6(x−11)/6

Answer:

160

Step-by-step explanation:

5(4)(2)= 40. 40 squared = 160

The worth of the game remains at 3.5 dollars. The second roll is the only one that matters, the expected value is now equal to the average value of a single roll,

a) In the first scenario, where you roll a die and are given an amount in dollars equal to the number on the die, the expected value of the game can be calculated by taking the average of all possible outcomes.

Since the die has six sides and each side is equally likely to come up, the expected value is calculated as (1/6 * 1) + (1/6 * 2) + (1/6 * 3) + (1/6 * 4) + (1/6 * 5) + (1/6 * 6) = 3.5 dollars.

Therefore, if you played this game a lot of times, you would expect to pay an average of 3.5 dollars per game.

b) In the second scenario, where you have the option to roll a second time and are obligated to take the number of dollars from the second roll, the expected value changes. Let's analyze the possible outcomes:

- If you decide to take the money from the first roll, the expected value is the same as in the previous scenario, which is 3.5 dollars.
- If you decide to roll a second time, the expected value is again calculated by taking the average of all possible outcomes.

However, since the second roll is the only one that matters, the expected value is now equal to the average value of a single roll, which is (1/6 * 1) + (1/6 * 2) + (1/6 * 3) + (1/6 * 4) + (1/6 * 5) + (1/6 * 6) = 3.5 dollars.


The worth of the game in the second scenario is the maximum value between the expected value of taking the money from the first roll (3.5 dollars) and the expected value of rolling a second time (3.5 dollars).

Therefore, the worth of the game remains at 3.5 dollars.

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The worth of the game depends on the scenario. In the first scenario, where you only roll once, the worth is around 3.5 dollars. In the second scenario, where you have the option to roll a second time, the worth is less than 2 dollars.

a) If you roll a die and are given an amount in dollars equal to the number on the die, the expected value of this game can be calculated by taking the average of the possible outcomes. Since there are six possible outcomes (numbers 1 to 6), the expected value is the sum of these outcomes divided by 6.

The expected value is (1+2+3+4+5+6) / 6 = 3.5 dollars.

To find what you would pay to play this game, you would ideally want to pay an amount less than the expected value to make it a profitable game. However, if you played this game a lot of times, the law of large numbers suggests that your average outcome will approach the expected value. Therefore, it would be reasonable to pay around 3.5 dollars to play this game.

b) In the second scenario, if you roll the die and have the option to either take the money from the first roll or roll a second time and take the second roll's amount, the expected value changes. Now, you have a 1/6 chance of getting each number from the first roll and a 1/6 chance of getting each number from the second roll.

To calculate the expected value, you need to consider both possibilities. You would calculate the average of the outcomes from the first roll and the outcomes from the second roll, and then take the maximum of these two values.

For example, if you roll a 1 on the first roll, the expected value from the first roll would be 1. If you roll a 2 on the second roll, the expected value from the second roll would be 2. The maximum of these two values is 2. Therefore, the expected value for this game is 2 dollars.

When deciding what this game is worth, you would want to pay an amount less than the expected value to make it profitable. So, in this scenario, you would ideally want to pay less than 2 dollars to play this game.

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Answer:

8x + 7y = 30 ( one solution)

8x - 7y = 2

-8x + 7y = -2 ( infinitely many solutions )

8x - 7y = 2

8x - 7y = 2

-8x + 7y = 2 ( zero solutions )

Answer:

Answer:

8x + 7y = 30 ( one solution)

8x - 7y = 2

-8x + 7y = -2 ( infinitely many solutions )

8x - 7y = 2

8x - 7y = 2

-8x + 7y = 2 ( zero solutions )

Step-by-step explanation:

angle has a measure equal to the sum of the the question is ∠DQS.


According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.

Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.



Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.

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Answer:

ion know bu heyyyyyy

Step-by-step explanation:

Answer:

94

Step-by-step explanation:

Answer:

0.0555 containers

Step-by-step explanation:

We need to find the unit rate for 54 pints of juice in 3 containers. It means we need to find quantity of juice in 1 container.

54 pints = 3 containers

1 pint = \(\dfrac{1}{18}\ \text{containers}\)

or

1 pint = 0.0555 containers

So, unit rate is 0.0555 containers.

There is approximately a 60.3% chance of losing one or more friends when distributing the candies under these conditions.

To calculate the probability of losing one or more friends when distributing the candies, we need to consider the distribution of the red candies among your friends.

Since the bag contains 64 candies and exactly 8 of them are red, the probability of picking a red candy at random from the bag is 8/64 = 1/8.

Now, let's consider the scenario where you give each friend 8 candies. The probability of a friend not receiving a red candy can be calculated by subtracting the probability of them receiving a red candy from 1.

For each friend, the probability of not receiving a red candy is (7/8), as there are 7 red candies left in the bag out of the remaining 56 candies (64 total - 8 red).

Since the candies are identically wrapped, the probabilities are the same for each friend.

To calculate the probability of losing one or more friends, we need to calculate the complement probability, which is the probability that no friend loses out on a red candy.

The probability of no friend losing out on a red candy is (7/8) for each friend.

As we have 8 friends, the overall probability is\((7/8)^8.\)

Finally, the probability of losing one or more friends is equal to 1 minus the probability of no friend losing out on a red candy:

Probability of losing one or more friends \(= 1 - (7/8)^8\)  

Calculating this, we find:

Probability of losing one or more friends ≈ 0.603

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I don't know how you 50th your mind to the fact 7days 7days I know that was 50th and I had no doubt about that can happen in a few months but his dream is the next one to get money to go some other time and do a few more pains in your car and get a better feel of what is the best thing for the use sharks live to the point in which 50th the world is not healthy and it

Answer: 40

Step-by-step explanation: For every 12 people, 1 bag of peanuts is sold. So for 480 people, which is 40 of 12 people, there must be 40 of 1 bag of peanuts, or 40 bags of peanuts, hope this helps!

Answer:

1.9

Step-by-step explanation:

Step by step answer

Answer:

1.9

Step-by-step explanation:

Answer: 2i+5

Step-by-step explanation: so (-2+14i)-(-7+12i)

Multiply (-1) to 7 and -12

Then: -2+14i+7-12i

Common numbers: (7-2) and 14i-12i

Then you get 2i+5

Triangle Congruence

The figure shows two triangles JKL and JML. They have two congruent angles JKL -> JML and KJL -> MJL

Two congruent angles on both triangles guarantee that the third angle is also congruent because the sum of all the interior anges is 180° on any triangle.

Having this in mind, we have all of the interior angles congruent but the AAA theorem is not enough to prove congruence.

Since the triangles share a common side JL, then we are sure the triangles are not only similar, but congruent.

Thus, the two angle congruence and the common side are enough data to prove the congruence of the given triangles.

AAA theo

Only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane. So, correct option is A.

In the 1H NMR spectrum, the number of singlets corresponds to the number of unique hydrogen environments in the molecule. Each unique hydrogen environment, where the hydrogens are chemically equivalent, will produce a singlet peak.

In 2,2,4,4-tetramethylpentane, all the carbons are identical, and each carbon is bonded to three hydrogen atoms. The four methyl groups (-CH3) are also chemically equivalent to each other. Therefore, all the hydrogens in this molecule are in equivalent environments, and there are no differences between them.

Since all the hydrogens are chemically equivalent, they will produce a single peak in the 1H NMR spectrum. This single peak is called a singlet.

Hence, the correct answer is option a, as only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane.

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Answer: Two singlets.

Step-by-step explanation:

The methyl groups are all equivalent with no neighbors, so they all give rise to only 1 peak.

There is a methylene group that gives rise to another peak.

So the total is 2 singlets.

The numbers that cannot be probabilities are: square root of 2, -53, 5/3, and 1.31.

Probability is a measure of the likelihood of a particular event occurring in a random experiment. It is a value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.

In statistics, probability is used to make predictions or draw inferences about a population based on a sample of data. For example, if we were to flip a coin, the probability of getting heads is 0.5, or 50%. In general probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes, which is the mathematical framework behind the random experiments.

From the set of numbers, 0, 0.08, and 3/5 are all possible values of probability.

Therefore, square root of 2, -53, 5/3, and 1.31 cannot be probabilities.

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Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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Answer:

I can't read that..........

Answer:

Step-by-step explanation:

the answer is +3

A) The measure of central tendency that best describes the data for time spent on the internet (min/day) is the median.

The median is the middle value in a set of data when the data is arranged in numerical order. In this case, the data arranged in numerical order is 38, 43, 48, 52, 65, 75, 120. The median value is 52, which is the middle value in the data set.

B) The measure of central tendency that best describes the data for the weight of books (oz) is the mode. The mode is the value that occurs most frequently in a data set. In this case, the data is 12, 10, 9, 15, 16, 10. The mode is 10, as it occurs twice in the data set and is the most frequent value.

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Answer:

previous speed of the aeroplane is 500 km/hr

Step-by-step explanation:

Given: Distance covered by  aeroplane = 1500 km

It covers the same distance in a time which is half an hour less than the previous time if the speed is increased by 100 km/hr

To find: previous speed of the aeroplane

Solution:

Let x denotes the previous speed of the aeroplane.

Time taken by an aeroplane if speed is x km/hr = distance/speed = \(\frac{1500}{x}\) hours

If speed is increased by 100 km/hr, new speed = (x + 100) km/hr

Time taken by an aeroplane if speed is (x + 100) km/hr = \(\frac{1500}{x+100}\) hours

According to question,

\(\frac{1500}{x+100}=\frac{1500}{x}-\frac{1}{2}\\ \frac{1500}{x}-\frac{1500}{x+100}=\frac{1}{2} \\\frac{1}{x}-\frac{1}{x+100}=\frac{1}{3000}\\ \frac{x+100-x}{x(x+100)}=\frac{1}{3000}\\ x^2+100x=300000\\x^2+100x-300000=0\\\)

\(x^2+600x-500x-300000=0\\x(x+600)-500(x+600)=0\\(x-500)(x+600)=0\\x=500\,,\,-600\)

As speed can not be negative, \(x=-600\) is rejected.

So,

previous speed of the aeroplane is 500 km/hr

Step-by-step explanation:

Since y = x + 3

Substitute the value of y for each one into the equation

1. y = 4

4 = x + 3

4 - 3 = x

x = 1

2. y = 8

8 = x + 3

8 - 3 = x

x = 5

3. y = 5

5 = x + 3

5 - 3 = x

x = 5

Hope you got it

Each person gets 0.875 feet of the Italian submarine sandwich.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken. It is the process of sharing a collection of items into equal parts and is one of the basic arithmetic operations in maths

Sharing the sandwich amongst 6 of her friends plus herself; 7

The share = \(6\frac{1}{8}\) x 7

Share = \(\frac{49}{8}\) x 7

Each person has 0.875 feet

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The mass of the pipe is 126 kg

The mass of a rectangular pipe can be calculated by using the given density, dimensions, and length of the pipe.

Given that a boy has a metal of density 14000kg/m³ and intends to use it to make a rectangular pipe with external dimensions of 18cm by 10cm and internal dimensions of 15cm by 8cm with a length of 150cm.

The mass of the pipe can be calculated as follows

External volume of the pipe = (18 cm × 10 cm) × 150 cm

                                               = 27000 cm³

Internal volume of the pipe = (15 cm × 8 cm) × 150 cm

                                             = 18000 cm³

Volume of the metal used to make the pipe = External volume of the pipe - Internal volume of the pipe

                                                                         = 27000 cm³ - 18000 cm³

                                                                         = 9000 cm³

Converting cm³ to m³ we get

9000 cm³ = 0.009 m³

Density = mass/volume

Rearranging the above formula, we get

mass = density × volume

Substituting the given values, we have

mass = 14000 kg/m³ × 0.009 m³

         = 126 kg

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The Braille system uses two vertical columns of three dots each to represent characters. There are 8 possible combinations for each column, giving a total of 64 distinct Braille characters.

The Braille system of representing characters was developed by Louis Braille in the early nineteenth century. This system is used by blind people and consists of raised dots that represent characters. The positions for the dots are selected from two vertical columns of three dots each. At least one raised dot must be present to represent a character.

To determine the number of distinct Braille characters possible, we need to consider the number of ways we can arrange the dots in the two vertical columns. Each column has three dots, and we need to choose which of these three dots to raise to represent a character. This gives us a total of 2^3 = 8 possible combinations for each column.

Since we have two columns, we can multiply the number of possible combinations for each column to get the total number of distinct Braille characters. This gives us 8 x 8 = 64 possible characters.

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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Answer:

The range of the function is:

Range R = {14, 17, 20}

Step-by-step explanation:

Given the function

\(f(x) = 3x + 2\)

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

We are given that the domain of the function is:

Domain D = {4, 5, 6}

Now,

substituting x = 4 in the function

f(4) = 3(4) + 2

f(4) = 12 + 2

f(4) = 14

substituting x = 5 in the function

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

substituting x = 6 in the function

f(6) = 3(6) + 2

f(6) = 18 + 2

f(6) = 20

Thus, we conclude that:

at x = 4, y = 14

at x = 5, y = 17

at x = 6, y = 20

Thus, the range of the function is:

Range R = {14, 17, 20}