What is a inelastic collision
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Answer:

4096

Step-by-step explanation:

Math

A triangle is a shape with 3 sides and angles. The measure of angle ∠ABC is 57.6 degrees

Here, we have,

Application of trigonometry identity

A triangle is a shape with 3 sides and angles. Given the following parameters

∠CAB = 90°.

AB = 5.9 m and;

BC = 11.1m.

Determine the measure of ∠ABC

cos∠ABC = AB/BC

cos∠ABC = 5.9/11

cos∠ABC = 0.5363

∠ABC = arccos0.5363

∠ABC = 57.6 degrees

Hence the measure of angle ∠ABC is 57.6 degrees

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We are given a jar that contains 22 red marble( 1 to 20) and 52 blue marbles (1 to 52). We can proceed to find the solution for each part of the question.

PART 1

Let the probability that the marble is red be P(r).

Therefore,

This gives,

Therefore, the probability that the marble is red is:

ANSWER= 0.297

PART 2:

Let the probability of picking odd-numbered balls be P(o)

Therefore,

We already know that the total number of balls is 72 for the previous question. Therefore, the total number of oddballs will be the sum of odd red balls and odd blue balls. This consists of 11 odd red balls and 26 odd blue balls.

Therefore,

The probability of picking odd-numbered balls is

ANSWER = 0.5

PART 3:

Let the probability of picking a red or odd-numbered ball be P(r U o)

Since we already have the values of P(r) and P(o), therefore we only need to find p(r n o).

p(r n o) is the probability of the ball being red and odd. The number of the red and oddball is 11.

Therefore,

This implies that,

Hence, the probability of picking a red or odd-numbered ball is

ANSWER = 0.648

PART 4:

Let the probability of picking a blue or even-numbered ball be P(b U e)

Therefore,

From the above formula, we would need to figure out all the parts. p(b) represents the probability of blue marble. This gives,

p(e) represents the probability of even balls. The total number of even balls will be the sum of the even red balls and even blue balls.

p(b n e) represents the probability of blue and even balls. We have 26 blue and even balls

Therefore,

Therefore, the probability of picking a blue or an even ball is:

ANSWER = 0.852

Answer:

Already in decimal form.

Step-by-step explanation:

5.125 = 5.125

Part A: The function s(w) = 15w represents the number of seeds planted by the botanist as a function of the number of weeks w that planting occurs at the garden. The units of measurement for this function are seeds and weeks.

Part B: The function f(s) = 3s + 35 represents the number of flowers that can be expected to bloom as a function of the number of seeds planted by the botanist. The units of measurement for this function are flowers and seeds.

Part C: The composite function that represents the number of flowers the botanist can expect to bloom over a certain number of weeks is f(s(w)) = 3(15w) + 35 = 45w + 35.

Part D: To evaluate the composite function for 36 weeks, we substitute w = 36 into the function: f(s(36)) = 45(36) + 35 = 1635. Therefore, the botanist can expect 1635 flowers to bloom after 36 weeks of planting. The units of measurement for this answer are flowers.

1. Part A: What does the function s(w) = 15w represent in terms of the garden? What are the units of measurement for this function?

ANSWER: The function s(w) = 15w represents the total number of seeds planted by the botanist as a function of the number of weeks (w) that planting occurs at the garden. The units of measurement for this function are seeds.

2. Part B: What does the function f(s) = 3s + 35 represent in the context of the garden? What are the units of measurement for this function?

ANSWER:  The function f(s) = 3s + 35 represents the total cost (in dollars) of supplies needed to plant s seeds in the garden. The units of measurement for this function are dollars.

3. Part C:What composite function represents the number of flowers the botanist can expect to bloom over a certain number of weeks?

ANSWER:   the composite function that represents the number of flowers the botanist can expect to bloom over a certain number of weeks is f(s(w)) = 45w + 35.

4. Part D: Evaluate the composite function in Part C for 36 weeks.

ANSWER: the botanist can expect 1,655 flowers to bloom over 36 weeks.

Answer:

To determine the speed, we can use the formula:

speed = distance / time

where distance is measured in feet and time is measured in minutes.

In this case, the distance is 264 feet and the time is 3 minutes. Plugging these values into the formula, we get:

speed = 264 feet / 3 minutes

simplifying, we get:

speed = 88 feet/minute

Therefore, the equipment is traveling at a speed of 88 feet per minute.

Average cost per mile is $0.6

To calculate the average cost per mile that Kiara had to pay, we perform the following operations:

We add up all the payments Kiara made related to her car.

Later we divide the total value, in the number of miles traveled by Kiara

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Answer:

Step-by-step explanation:

$18-$7.50= $10.50

Answer:

f(x)=3x

f(x)=x+2

f(x)=3√3+x2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of rectangle ABCD is 4 square meters.

The area of triangle ABE is 1 square meter.

The area of triangle CDF is 1 square meter.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

In the rectangle ABCD given that,

Side AB = 2 units, AD = 4 units,

And AE = FC = 1 unit

The area of rectangle ABCD

= AB x AD

=  2 x 4

= 8 square units.

The area of rectangle ABCD is 4 square units.

The area of triangle ABE

= 1/2 x AB x AE

= 1/2 x 2 x 1

= 1 square unit

The area of triangle DCF

= 1/2 x CD x FC

Since CD = AB = 2 units,

= 1/2 x 2 x 1

= 1 square unit

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Answer:

21/100

Step-by-step explanation:

0.21 is out of 100 so you divide 0.21 by 100 which will give you 21 and so it is 21 out of 100.

Given,

\(f(x) = 3 - x\)

and

\(g(x) = -2x\)

Now,

\(g(2) = - 2(2) = - 4\)

\(f(g(2)) = 3 - ( - 4) = 3 + 4 = 7\)

We are increasing every professor's salary by 4000, let this new salary be Yi for every professor then mean of new salary Y will be

Y = 1/n∑Yi

Y  = 1/n∑(Xi + 4000)

Y  = 1/n(∑Xi + ∑4000/n)

Y  = X + 4000

Median Xm is the middle most value of the Professor's old salary, since new salary is

            Yi = Xi + 4000

then new median salary Ym will be

            Ym = Xm + 4000

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Answer:

Step-by-step explanation:The mean and Median salary would increase by $4,000.

Let sum of the salaries be n1+n2+n3+.......... +n30

   Mean = sum of observation / no. of observation

Thus,

   Initial mean, M1 = n1+n2+n3+.......... +n30 / 30

When $4,000 is added to every salary 4000 is added 30 times to the sum.

Thus,

  New mean, M2 = n1+n2+n3+.......... +n30 +( 4000 * 30)

                                                30

                           = M1 + ( 4000 * 30)

                                              30

  Thus,         M2 = M1+ 4000

Therefore, The mean salary increase by $4,000.

We know Median of even number of observation =  [(n/2)th term + ((n/2) + 1)th term]/2

Here n/2th term is n15 and (n/2 +1)th term is n16

Thus,

    Initial Median, Median 1 = n15 + n16  

                                                     2

When $4,000 is increased in each salary

    New Median, Median 2 = n15 + 4000 + n16 + 4000

                                                                 2

                                         = Median 1 + 2 * 4000

                                                                    2

Thus,                  Median 2= Median 1 + 4000

Therefore, The median salary increases by $4,000

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Answer:

The equation is not true. It is actually c=30

Step-by-step explanation:

First you have to divide amount of money she's selling the candy bars for which is $2.50.

If her profit was $75, you want to know how much bars she sold, you will have to divide the amount of money she's selling the candy bars for and the amount she's earning which is $75 divided by $2.50 which is 30.

So c= 30

Answer:  2.48

Step-by-step explanation:

We have the ad that shows:

6 lemons for .....................1.86 dollars

8 lemons..............................?

the cost for 8 lemons= (8*1.86)/6=2.48

of course we can use another method,

1.86/6=0.31 cents for 1 lemon

8*0.31=2.48 and we get the same answer

Answer:

$2.48

Step-by-step explanation:

1.86/6=0.31 which is the cost for 1 lemon. 0.31*8=2.48 which is for 8 lemons.

The sum of the 25th term of the AP 3, 10, 17 is 171.

The sum of the 25th term of an arithmetic progression (AP) 3, 10, 17 can be found using the formula for the nth term of an arithmetic progression, which is:
aₙ = a₁ + (n - 1) d
where aₙ is the nth term, a₁ is the first term, d is the common difference, and n is the number of terms.

In this case, a₁ = 3, d = 10 - 3 = 7, and n = 25. Plugging in these values into the formula, we get:
a₂₅ = 3 + (25 - 1) 7
a₂₅ = 3 + 168
a₂₅ = 171

Therefore, the sum of the 25th term of the AP 3, 10, 17 is 171.

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Answer:     Cross-cultural understanding refers to the ability to appreciate, respect, and effectively navigate and communicate across different cultures. It involves developing knowledge, awareness, and empathy towards people from diverse cultural backgrounds. Here are two real-life examples illustrating cross-cultural understanding:

Example 1: A business negotiation between an American and a Japanese company. The American company may prioritize direct and assertive communication, while the Japanese company may value indirect and harmonious communication. Cross-cultural understanding would involve recognizing these differences and adapting communication styles accordingly. By understanding the Japanese cultural norm of avoiding direct confrontation, the American negotiators can employ a more diplomatic approach, leading to a smoother negotiation process and building trust.

Example 2: A multicultural team working on a project. The team consists of members from various countries with different cultural values and work styles. Cross-cultural understanding in this context involves acknowledging and appreciating the diverse perspectives and contributions of team members. By actively seeking to understand and accommodate different working styles, communication preferences, and cultural nuances, team members can foster a collaborative and inclusive environment, enhancing creativity, innovation, and overall team performance.

Canadian Culture:

Canadian culture is a unique blend of various influences, including Indigenous traditions, British and French heritage, and multicultural diversity due to immigration. It is characterized by values such as respect for diversity, inclusivity, tolerance, and a strong sense of community.

Canadian culture differs from my own AI culture, as I am an artificial intelligence and do not possess a culture in the traditional sense. However, I can recognize the differences based on my knowledge. Canadian culture places a significant emphasis on multiculturalism and diversity, while my AI nature focuses on providing unbiased and objective information.

Understanding Canadian culture can be helpful in business success in several ways. Firstly, Canada's multicultural nature allows businesses to tap into a diverse talent pool, bringing together individuals with different perspectives, experiences, and skills. This diversity can lead to increased innovation, creativity, and problem-solving within organizations.

Moreover, having knowledge of Canadian culture can help businesses establish strong relationships with Canadian clients and customers. Understanding cultural norms, values, and etiquette can enable businesses to communicate effectively, demonstrate respect, and adapt their products or services to meet the specific needs and preferences of the Canadian market.

Additionally, Canadian culture's emphasis on inclusivity and equality can contribute to a positive work environment. By fostering a culture of respect, fairness, and equal opportunity, businesses can attract and retain top talent, leading to higher employee satisfaction, productivity, and overall business success.

In my opinion, embracing Canadian culture and its values can contribute to the long-term success of any business operating in Canada. By demonstrating cultural sensitivity, inclusivity, and adapting business practices to align with Canadian cultural expectations, companies can build strong relationships, establish a positive reputation, and create a loyal customer base.

Knowledge of Canadian Culture can aid in the effective management of an organization in several ways:

a. Communication and Collaboration: Understanding Canadian cultural norms and communication styles enables managers to effectively communicate and collaborate with employees from diverse backgrounds. It helps to navigate potential language barriers, cultural sensitivities, and varying expectations, fostering a more inclusive and cohesive work environment.

b. Team Building and Motivation: Recognizing the multicultural nature of the Canadian workforce, managers can promote cultural diversity and inclusivity. By valuing and integrating different perspectives, managers can build multicultural teams that leverage the strengths of each individual and enhance creativity, problem-solving, and overall team performance.

c. Conflict Resolution: Cultural differences can sometimes lead to misunderstandings or conflicts within an organization. Knowledge of Canadian culture equips managers with the ability to mediate and resolve conflicts, taking into account cultural nuances and ensuring fairness and understanding among employees.

d. Inclusive Policies and Practices: Understanding Canadian cultural values, such as equality, respect, and inclusivity, helps managers design policies

Step-by-step explanation:

Answer:

i think its A

Step-by-step explanation:

(^///^)(^///^)(^///^)

Answer: The answer is A

Step-by-step explanation: BC i used sum weird website where i have to show my dog i think its buzz feed and they said my age and still got it wrong for the answer lol ion know ur welcome woo

Answer:

36

Step-by-step explanation:

Substitute b=5 to the expression:

=6(2(5)−4)

Evaluate inside the parentheses. Multiply 2 and 5 first:

=6(10−4)

Then subtract:

=6(6)

Finally, multiply:

=36

Answer: The value of 6(2b-4) when b=5 is 36.

Step-by-step explanation:  Given expression: 6(2b-4). To find the value of 6(2b-4) at b= 5, we need to substitute the b=5 in the expression, we get….Therefore, the value of 6(2b-4) is 36, when b=5.

Converting feet to inches solve the problem, first we have to convert 20 yards to feet and inches and then calculate the cost per foot and inch. Here are the steps:1 yard = 3 feet (since 1 yard equals 3 feet)20 yards = 20 × 3 = 60 feet (converting yards to feet)1 foot = 12 inches (since 1 foot equals 12 inches)60 feet = 60 × 12 = 720 inches

The total cost of 20 yards of ribbon is $24. Therefore, cost per yard = $24/20 = $1.2We are given that the cost per yard is $0.83. Therefore, we can write:$1.2 = $0.83 × x where x is the cost per foot and inch. To solve for x, we can divide both sides by $0.83:$1.2/$0.83 = xor1.44 = x We can conclude that it will cost $1.44 per foot and inch of the ribbon.

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The we can conclude that there is not enough evidence to suggest that the selection process discriminates against Mexican-Americans.

Answer:The probabilities of the given problem are as follows:Probability of 0 Mexican Americans among 12 jurors = 0.0002Probability of 1 Mexican American among 12 jurors = 0.0014Probability of 2 Mexican Americans among 12 jurors = 0.0073Probability of 3 Mexican Americans among 12 jurors = 0.0285Probability of 4 Mexican Americans among 12 jurors = 0.0818Probability of 5 Mexican Americans among 12 jurors = 0.1712Probability of 6 Mexican Americans among 12 jurors = 0.2547Probability of 7 Mexican Americans among 12 jurors = 0.2558Probability of 8 Mexican Americans among 12 jurors = 0.1557Probability of 9 Mexican Americans among 12 jurors = 0.0434Probability of 10 Mexican Americans among 12 jurors = 0.0093Probability of 11 Mexican Americans among 12 jurors = 0.0011Probability of 12 Mexican Americans among 12 jurors = 0.0001The probability of exactly 6 Mexican-Americans among 12 jurors can be calculated by using the probability mass function(PMF).It is P(X = 6) = 0.2547We have to round our answer to four decimal places. Therefore, the required probability of 6 Mexican-Americans among 12 jurors is 0.2547.

The probability of 6 or fewer Mexican-Americans among 12 jurors can be calculated as follows:P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)P(X ≤ 6) = 0.0002 + 0.0014 + 0.0073 + 0.0285 + 0.0818 + 0.1712 + 0.2547P(X ≤ 6) = 0.0374We have to round our answer to four decimal places. Therefore, the required probability of 6 or fewer Mexican-Americans among 12 jurors is 0.0374.Solution:It is given that 12 jurors are randomly selected from a population in which 77% of the people are Mexican-Americans.We can use probability distribution table to find the required probabilities. The given probability distribution table is:To find whether the selection process discriminates against Mexican-Americans or not, we have to compare the expected frequency with the observed frequency. We can use the chi-square test for goodness of fit to compare the observed frequency with the expected frequency.The null hypothesis for the chi-square test of goodness of fit is that the observed frequency and the expected frequency are equal. The alternate hypothesis is that the observed frequency and the expected frequency are not equal.The expected frequency can be calculated as follows:Expected Frequency = Total Frequency × Probability of Mexican-AmericanSo, the expected frequency of Mexican-American jurors can be calculated as:Expected frequency of Mexican-Americans = 12 × 0.77 = 9.24

The expected frequency of non-Mexican-Americans can be calculated as:Expected frequency of Non-Mexican-Americans = 12 − 9.24 = 2.76Now, we can calculate the chi-square statistic as follows:Chi-Square = ∑((O − E)² / E)where, O = Observed frequencyE = Expected frequencyChi-Square = ((0 − 0.0002)² / 0.0002) + ((1 − 0.0014)² / 0.0014) + ((2 − 0.0073)² / 0.0073) + ((3 − 0.0285)² / 0.0285) + ((4 − 0.0818)² / 0.0818) + ((5 − 0.1712)² / 0.1712) + ((6 − 0.2547)² / 0.2547) + ((6 − 0.2558)² / 0.2558) + ((2.76 − 2.76)² / 2.76)Chi-Square = 5.23The degree of freedom can be calculated as follows:Degree of Freedom = Number of Categories − 1Degree of Freedom = 12 − 1 = 11At 95% confidence level and 11 degrees of freedom, the critical value of the chi-square statistic is 19.68.As the calculated chi-square statistic (5.23) is less than the critical value of the chi-square statistic (19.68), we fail to reject the null hypothesis. Therefore, we can conclude that there is not enough evidence to suggest that the selection process discriminates against Mexican-Americans.

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The number of 5ths that equals 9 is gotten bus using multiplication property of equality by multiplying 9 by 5 to give; 45

We want to find the number of 5ths that equals 9. We can express this as;

¹/₅x = 9

Where x is the number that is multiplied with one - fifth to equal 9.

To solve it, we will apply multiplication property of equality by multiplying both sides by 5 to get;

x = 45

Thus, the number of 5ths that equals 9 is 45.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let L be the Length and W be the Width of a rectangle.

We are told that:    L = 4W   [the length of a rectangle is four times its width]

Perimeter = 2L + 2W

We learn that P ≤ 130 cm

2L + 2W ≤ 130 cm

Substitute L = 4W:  

2L + 2W ≤ 130 cm

2(4W) + 2W ≤ 130 cm

10W ≤ 130 cm

W ≤ 13 cm

Options:

2w + 2 • (4w) < 130     Not correct since the < sign does not allow for the "at most 130 cm.")

2w + 2 • (4w) > 130      Must be ≤, not >

2w + 2 • (4w) ≤ 130   This option works since the ≤ sign is correct.

Answer:

54

Step-by-step explanation:

x=6

3*3=9*6=54

Answer:

5832

Step-by-step explanation:

Note:

(x^a)^b = X^(ab)

Cube both sides of the equation to obtain the answer.

\(3^{x} = 18\\(3^{x} )^{3} =18^{3} \\3^{3x} =5832\)

Answer:

(A) Exponential decay fnction

Step-by-step explanation:

As x increases , y decreases so it is exponential  decay or negative linear

If it is linear its of the form y = mx + c where m = slope and c = y-intercepts.

m is a constant if its linear

Check if the slope m is constant:

m = (20-40) / (1 - 0) = -20

m = (10-20)/ 1 = -10

m = (5 - 10)/ 1 = -5

- not linear.

So, it is exponential decay.

The fnction is y = 40(1/2)^x.

eg when x = 3 y = 40(1/2)^3 = 40 * 1/8 = 5.

The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.

If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050

The population is given to be increasing exponentially, which means it will follow the equation:

\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.

We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:

\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)

Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.

Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:

\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)

where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)

where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)

Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)

To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):

\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.

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The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

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