Where do parabolas store their holiday decorations?

Therefore, the Vickers tests of the sample are approximately 959 N/mm² and 1917 N/mm² for loads of 2.5 kg and 5 kg, respectively.

Given :Load = (2.5, 5) kg . diameter of square based pyramid diamond = 0.362 mm To find: Vickers tests of the sample Solution :The Vickers hardness test uses a square pyramid-shaped diamond indenter. It is used to test materials with a fine-grained microstructure or thin layers. The formula used to calculate the Vickers hardness is :Vickers hardness = 1.8544 P/d²where,P = load applied d = average length of the two diagonals of the indentation made by the diamond Now, we can calculate the Vickers hardness using the above formula as follows: For load = 2.5 k P = 2.5 kg = 2.5 × 9.81 N = 24.525 N For load = 5 kg P = 5 kg = 5 × 9.81 N = 49.05 N For both loads, we have the same diameter of square-based pyramid diamond = 0.362 mm .Therefore, we can calculate the average length of the two diagonals as :d = 0.362/√2 mm = 0.256 mm .Now, we can substitute the values of P and d in the formula to get the Vickers hardness :For load 2.5 kg ,Vickers hardness = 1.8544 × 24.525 / (0.256)²= 958.68 N/mm² ≈ 959 N/mm²For load 5 kg ,Vickers hardness = 1.8544 × 49.05 / (0.256)²= 1917.36 N/mm² ≈ 1917 N/mm².

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The function N satisfies the logistic differential equation statement (A) is false, statement (B) is true, statement (C) is false, and statement (D) is true.

The function N satisfies the logistic differential equation dn/dt = n/10(1- n/850) when n(0) = 105. The logistic equation is used to model population growth when there are limited resources available. In this equation, the growth rate is proportional to the size of the population and is also influenced by the carrying capacity of the environment. The carrying capacity is represented by the value 850 in this equation.

(A) The statement lim N(t) - 850 is false. This is because the function N approaches the carrying capacity of 850 as t approaches infinity, but it never equals 850.

(B) The statement Dn/dt has a maximum value when N = 105 is true. To find the maximum value, we can set the derivative of the function equal to zero and solve for N. This gives us N = 105, which is a maximum value.

(C) The statement d2n/dn2 = 0 when N = 425 is false. When N = 425, the second derivative of the function is negative, indicating that the population growth rate is decreasing.

(D) The statement When N >425 dN/dt > 0 and d2n/dt2 <0 is true. This means that when the population size is greater than 425, the population growth rate is positive, but the rate of growth is slowing down.

In summary, statement (A) is false, statement (B) is true, statement (C) is false, and statement (D) is true.

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Answer:

-16

Step-by-step explanation:

b^2 c^-1

We know that c^-1 can also we written as 1/ c

b^2 / c

Let b =8 and c = -4

8^2 / (-4)

64 / -4

-16

Answer:

x/36 is what you're looking for my guy

Answer: I’m not sure how to explain so you look at what I did and if it is an equation then I did solve it but if I should did the two separately then tell me so I can do it , have a great and funny day :)

Step-by-step explanation:

For similar triangle is:

For similar triangle:

and

So

both triangle then :

LE=11 , LD=9 , LM=90, LN=110

For similar triangle ratio of ED and MN is 9/10

Answer:

9 1/10th m/s2 :)

Step-by-step explanation:

The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...

Answer:

y12111097

Step-by-step explanation:

because I know the answer

According to the survey results, 53% of respondents reported having colleagues who are rude or disrespectful. This is a concerning finding, as workplace incivility can have negative effects on employee well-being, job satisfaction, and productivity.

It is important for organizations to address and prevent such behaviors through training, policies, and a culture of respect and accountability. It is also important for individuals to speak up and address rude or disrespectful behavior when it occurs, in a constructive and professional manner. By promoting civility and respect in the workplace, we can create a more positive and productive work environment for everyone.

According to the survey, 53% of respondents reported having colleagues who are rude or disrespectful. This percentage indicates that more than half of the surveyed individuals have experienced unprofessional behavior from their coworkers.

It is essential for everyone in a professional environment to treat their colleagues with respect and maintain a positive work environment.

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The original number is 80 and the sum of the digits of a two-digit number is 8 . When 36 is subtracted from this number, its digits are reversed.

Let us suppose that the two-digit number is '10x + y' (as the number is greater than 9 and less than 100, we can represent it as '10x + y' where 'x' is tens digit and 'y' is units digit).

According to the question,

The sum of the digits of a two-digit number is 8  

⇒ x + y = 8

Also,

When 36 is subtracted from this number, its digits are reversed

⇒ 10x + y - 36 = 10y + x + 36

⇒ 9x - 9y = 72

⇒ x - y = 8

Therefore, the equations are:

x + y = 8   ........ (1)

x - y = 8   ........ (2)

By adding equations (1) and (2), we get:

2x = 16  

⇒ x = 8

By substituting value of 'x' in equation (1), we get:

y = 0

Therefore, the original number is 80.

Conclusion: So, the original number is 80 and the sum of the digits of a two-digit number is 8 . When 36 is subtracted from this number, its digits are reversed.

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The sum of the digits of a two-digit number is 8 . when 36 is subtracted from this number, its digits are reversed.

The original number is 62.

Let's assume the two-digit number is represented by 10a + b, where a and b are the digits of the number.

According to the given information, we have two conditions:

1. The sum of the digits is 8: a + b = 8.

2. When 36 is subtracted from the number, its digits are reversed: (10a + b) - 36 = 10b + a.

Now we can solve these equations to find the values of a and b.

From equation 1, we have a + b = 8.

From equation 2, we have 10a + b - 36 = 10b + a.

Simplifying equation 2, we get:

9a - 9b = 36.

Dividing both sides by 9, we have:

a - b = 4.

Now we have a system of equations:

a + b = 8,

a - b = 4.

Adding these two equations together, we get:

2a = 12,

a = 6.

Substituting the value of a into one of the equations, we can find b:

6 + b = 8,

b = 2.

Therefore, the original number is 62.

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Answer:

I belive it would be HL because its defenitly not SSS

Step-by-step explanation:

HL Postulate is if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

The given distribution is not a probability distribution for a discrete random variable, x. This is because the sum of the probabilities is not equal to 1.
In a probability distribution for a discrete random variable, the sum of the probabilities for all possible values of x must be equal to 1. In the given distribution, the probabilities for x = 3, x = 6, x = 9, x = 12, and x = 15 are not given. Therefore, it is not possible to determine if the sum of the probabilities is equal to 1.
Additionally, the given distribution is not complete as it does not include the probabilities for each possible value of x. A probability distribution for a discrete random variable must include the probabilities for all possible values of x.
Therefore, the given distribution is not a probability distribution for a discrete random variable, x.

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Answer:

I believe it will be 5 minutes for it to reach that.

The number of llamas in the petting zoo has 13, and the number of kangaroos is 34.

Let the number of llamas in the petting zoo be x, and the number of kangaroos in the petting zoo be y.

Thus, we can write two equations from the given conditions:

Equation 1: x + y = 47

Equation 2: 4x + 2y = 120

(since each llama has 4 legs and each kangaroo has 2 legs)

Simplifying equation 2:2x + y = 60

Now we have two equations with two unknowns.

To solve them, we can either use substitution or elimination.

Using substitution, we can solve equation 1 for y in terms of x:y = 47 - x

Now we substitute this expression for y in equation 2:2x + (47 - x) = 60

Simplifying: x + 47 = 60x = 13

Now we can use either equation 1 or 2 to find y:x + y = 47y = 47 - xy = 47 - 13y = 34

Therefore, the petting zoo has 13 llamas and 34 kangaroos.

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Answer:

b= - 8/11

Step-by-step explanation:

-4b-24=7b-16

-4b-24+24=7b-16+24

-4b=7b+8

-4b-7b=7b+8-7b

-11b=8

-11b/-11 = 8/-11

b= - 8/11

Answer:

5.6ft squared

Step-by-step explanation:

4x7 = 28 divided by 5 which is 5.6

Answer:

The STO button stands for store so it will save the number in the memory and to get it back press m

To solve the inequality -1/4a > 3a, we need to first multiply both sides by -4 to get rid of the fraction:
-1a > 12a
Next, we can subtract 12a from both sides to get:
-13a > 0
Dividing both sides by -13 gives us:
a < 0

To solve the inequality b – 12 > -3, we can add 12 to both sides:
b > 9

Now we need to find values of a and b that satisfy both inequalities. Since a < 0, we can try any negative value of a. Let's try a = -1:

-1/4(-1) > 3(-1)
1/4 > -3

This inequality is true, so we can move on to the next inequality. Let's plug in a = -1 and see if it satisfies b > 9:

b – 12 > -3
b > 9

Since -1 satisfies both inequalities, the values that make both inequalities true are: a = -1 and any value of b greater than 9.

Answer:

FG

Step-by-step explanation:

FG is the only line which goes straight across the circle through the centre

Monte Carlo and Historical simulation are widely used tools for risk measurement, generating random inputs based on probability distribution functions. Proper probability distributions are crucial for risk analysis, while statistics aids in risk management by obtaining probabilities and assessing results.

a) Monte Carlo and Historical simulation are the most extensively used tools for measuring risk. The significant difference between these two tools lies in their inputs. Monte Carlo simulation is based on generating random inputs based on a set of probability distribution functions. While Historical simulation, on the other hand, simulates based on the prior actual data inputs.\

b) In risk analysis, the right choice of probability distribution that explains the risk factor's values is of paramount importance as it can give rise to critical decision making and management of financial risks. Probability distributions such as the Normal distribution are used when modeling the return of an asset, or its log-returns. Normal distribution in financial modeling is essential because it best describes the distribution of price movements of liquid and high-frequency assets. Nonetheless, selecting the wrong distribution can lead to wrong decisions, which can be quite catastrophic for the organization.

c) Statistics are used in Risk Management to assist in decision-making by helping to obtain the probabilities of potential risks and assessing the results. Statistics can provide valuable insights and an objective evaluation of risks and help us quantify risks by considering the variability and uncertainty in all situations. With statistics, risks can be easily identified and properly evaluated, and it assists in making better decisions.

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Answer:

16

Step-by-step explanation:

f(x) = 2x + 4

f(6) = 2(6) + 4

=> f(6) = 12 + 4

=> f(6) = 16

The standard form of the number  \((1.5*10^(13))^2\)  is  2.25×\(10^(26)\) .

What is standard form of a number ?

 An equation, an expression, or a set of integers can all be written in standard form using the standard form approach. It is possible to express a number in a way that adheres to certain standards by writing it in its standard form. Standard form refers to any number between 1.0 and 10.0 that may be expressed as a decimal number and multiplied by a power of 10. The term "standard form" in this context refers to the act of condensing a particularly big expanded form of a number.

Here given is ,

=> \((1.5*10^(13))^2\)

=> \(1.5^2\) × \(10^(13)^2\)

=> 2.25×\(10^(26)\)

Therefore standard form of the number is  2.25×\(10^(26)\).

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Answer:

B) 686 cubic units

Step-by-step explanation:

If one cube has a side length of 7, then it equals to 343 cubic units. Since there are 2 cubes, this translates to 686 cubic units.

By using the unitary method and dividing the time into equal intervals, the number of bacteria doubled every 3 hours, the final total of 32,000 bacteria after 14 hours.

Unitary method involves dividing the time interval into equal parts, and calculating the growth for each unit of time before adding them all up to get the total growth.

To start, let's divide the 14 hours into 3 hour intervals. We have

=> 14 hours / 3 hours = 4 intervals.

Next, we need to calculate the growth in each 3 hour interval. Since the number of bacteria doubles every 3 hours, we can find the growth by multiplying the initial number of bacteria by 2.

Starting with the first interval, we have 2000 bacteria * 2 = 4000 bacteria.

We can now repeat this calculation for each interval, multiplying the previous total by 2 each time.

For the second interval, we have 4000 bacteria * 2 = 8000 bacteria.

For the third interval, we have 8000 bacteria * 2 = 16,000 bacteria.

Finally, for the fourth interval, we have 16,000 bacteria * 2 = 32,000 bacteria.

So, at the end of 14 hours, there will be 32,000 bacteria in the culture.

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The equation of the circle of radius 4 and center at (-1, 1) is given as follows:

\((x + 1)^2 + (y - 1)^2 = 16\)

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

In this problem:

Hence, the equation is given as follows:

\((x - (-1))^2 + (y - 1)^2 = 4^2\)

\((x + 1)^2 + (y - 1)^2 = 16\)

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Internal validity explains the association between binge-watching tv and irritability.

In the context of a specific study, internal validity refers to how strongly a piece of evidence supports a claim regarding cause and effect. It is one of the most crucial characteristics of scientific research and a crucial idea when considering evidence more generally.

The extent to which alternative explanations for a study's findings (often, sources of systematic error or "bias") can be ruled out is a measure of its internal validity. In contrast, external validity measures how well data support judgments made regarding other situations (that is, the extent to which results can be generalized).

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The trigonometric ratios of sine, cosine, and tangent can be used  to find the lengths of the sides of the triangle.

A right triangle has one angle that measures exactly 90 degrees. Identify this angle in the triangle.

Label the sides of the triangle as the hypotenuse, adjacent, and opposite sides, relative to one of the non-right angles. The hypotenuse is always the side opposite the right angle.

We know that;

Tan 45 = 5.9/w

w = 5.9/Tan45

w = 5.9

Then;

Tan 35 = 5.9/w + x

0.7 = 5.9/5.9 + x

0.7(5.9 + x) = 5.9

4.13 + 0.7x = 5.9

x = 2.5

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