1. Do you know the current world population? What units did you use in this estimate? What site did you use to locate this information? 2. What is the increase in the world population over the last 10 years? What site did you use to locate this information? 3. Look at the table below. Compare the population growth in the last ten years to the growth between 1950 -1960. How did you compare the growth over different periods of time? 4. Do you think it would be useful to be able to predict future population? Why? 5. Identify factors that influence population growth? 6. Identify possible consequences of population growth.

To find the subtransient current in per unit for a three-phase fault on bus 4, we need to calculate the fault current using the bus impedance matrix.

Given bus impedance matrix Zbus:

| j0.15 j0.08 j0.04 j0.07 |

| j0.08 j0.15 j0.06 j0.09 |

| j0.04 j0.06 j0.13 j0.05 |

| j0.07 j0.09 j0.05 j0.12 |

To find the fault current on bus 4, we need to find the inverse of the Zbus matrix and multiply it by the pre-fault voltage vector.

The pre-fault voltage vector V_pre-fault is given as:

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

Let's calculate the inverse of the Zbus matrix:

Zbus_inverse = inv(Zbus)

Now, we can calculate the fault current using the formula:

I_fault = Zbus_inverse * V_pre-fault

Calculating the fault current, we have:

I_fault = Zbus_inverse * V_pre-fault

Substituting the values and calculating the product, we get:

I_fault = Zbus_inverse * V_pre-fault

= Zbus_inverse * | 1.0/0° |

| 1.0/0° |

| 1.0/0° |

| 1.0/0° |

Please provide the values of the Zbus matrix and the pre-fault voltage vector to obtain the specific values for the fault current and the per-unit current from generator 2.

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Answer:

Answer:

-2 1/4

Step-by-step explanation:

Answer: 45ft

Step-by-step explanation:

You do 8 x 5 first which you get 40 then you do 10 x 5 which you get 50 you add 40 and 50 you get 90 and since it’s made out of triangles you do bh1/2 so you do 90 x 1/2 or 90 / 2 and you get 45ft

Answer:

Radius of sphere =1unit

SurfaceareaVolume=4πr234πr3=34π(1)3×4π(1)21=31

∴V:S=1:3 cm

Step-by-step explanation:

Hope this helps. If any questions, please ask in comments.

Answer:

\(t=3c-8\)

Step-by-step explanation:

It seems like your question is incomplete, so I will assume it is asking for an expression that represents how many cookies Anna has left.

Let t represent the total number of cookies left. Let's build this expression. If each batch contains c cookies, and there are 3 batches, the total number of cookies baked is 3 times c. Since she ate 8 cookies, 8 must be subtracted from that total. Therefore:

\(t=3c-8\)

Hope this helps!

Answer:

Step-by-step explanation:

five ex square plus five ex plus five

The probability of B given A is approximately 24.9%.

The probability is typically defined as the proportion of positive outcomes to all outcomes in the sample space. Probability of an event P(E) = (Number of positive outcomes) (Sample space) is how it is written.

We can use the formula for conditional probability to solve for P(B | A):

P(B | A) = P(A & B) / P(A)

Substituting the given values, we get:

P(B | A) = 4.2% / 16.9%

        = 0.2485207100591716

To convert this to a percentage rounded to the nearest tenth, we can multiply by 100 and round to one decimal place:

P(B | A) ≈ 24.9%

Therefore, the probability of B given A is approximately 24.9%.

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Answer:

is A B and D

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

im almost certain its 15%

Answer:

60 miles per hour

Step-by-step explanation:

We need to simply divide the total distance he traveled by the total time it took him.

At 10:00 AM, he is 200 miles from New York.

At 12:00 PM, he is 80 miles from New York.

This means that 2 hours has elapsed and the distance he has traveled is:

200 - 80 = 120 miles

Therefore, his average speed is:

120 / 2 = 60 miles per hour

The statement is known as the constructibility of real numbers. It states that a real number r is constructible.

If there exist a sequence of real numbers 0₁, ..., 0ₙ such that 0₁ is rational, 0ᵢ for i = 2, ..., n are quadratic numbers (numbers of the form √a, where a is a rational number), and r can be expressed as a nested quadratic extension of rational numbers using the sequence 0₁, ..., 0ₙ.

To prove the statement, we need to show both directions: (1) if r is constructible, then there exist 0₁, ..., 0ₙ satisfying the given conditions, and (2) if there exist 0₁, ..., 0ₙ satisfying the given conditions, then r is constructible.

The first direction follows from the fact that constructible numbers can be obtained through a series of quadratic extensions, and quadratic numbers are closed under addition, subtraction, multiplication, and division.

The second direction can be proven by demonstrating that the operations of nested quadratic extensions can be used to construct any constructible number.

In conclusion, the statement is true, and a real number r is constructible if and only if there exist 0₁, ..., 0ₙ satisfying the given conditions.

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Answer:

6,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

The number of meals that could

belong in the interval $10.99 - $13.99 is represents the frequency of that interval. The interval is also called the class width. Since there are no decimals, the meals must be greater than or equal to $11 and lesser than $14. Looking at the data, the meals that fall within the interval are

$11, $11, $12,$12, $13, $13, $13,$13

The frequency is 8

Therefore, 8 meals could

belong in the interval $10.99 - $13.99

As given that:

Angle CAB and angle CED are right angles according to given diagram.

E bisects CA and D bisects CD.

E is perpendicular bisector of CA.

AS E and D are bisects CA and CD then they are midpoints of CA and CD respectively.

So according to all these statements ABC ~ EDC

Yes Angle CAB is a right angle.

Answer:

4.5% per year

Answer:

40%

Step-by-step explanation:

:)

Point K is in the 4th quadrant, then it goes into the first quadrant. So this means the rotation could be 90 degrees counterclockwise or 270 degrees clockwise.

The answer is 90 degrees counterclockwise or 270 degrees clockwise.

Answer:

Step-by-step explanation:

1+2

+2v+4

Answer:

A , D

Step-by-step explanation:

Using the z-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.

\(H_0: p \leq 0.5\)

\(H_1: p > 0.5\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

For this problem, the parameters are:

\(n = 48, \overline{p} = \frac{37}{48} = 0.7708, p = 0.5\)

The value of the test statistic is:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.7708 - 0.5}{\sqrt{\frac{0.5(0.5)}{48}}}\)

\(z = 3.75\)

Considering a right-tailed test, as we are testing if the proportion is greater than a value, with a significance level of 0.05, the critical value for the z-distribution is \(z^{\ast} = 1.645\).

Since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.

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this is hard

Step-by-step explanation:

I think its 3.89 p/s

To develop the Branch and Bound (B&B) tree for the given problem, follow these steps:

1. Start with the initial B&B tree, where the root node represents the original problem.

2. Choose \($x_1$\) as the branching variable at node 0. Add two child nodes: one for

\($x_1 \leq \lfloor x_1 \rfloor$ \\(floor of $x_1$) and one for $x_1 \geq \lceil x_1 \rceil$ (ceiling of $x_1$).\)

3. At each node, perform the following steps:

  - Solve the relaxed linear programming (LP) problem for the node, ignoring the integer constraints.

  - If the LP solution is infeasible or the objective value is lower than the current best solution, prune the node and its subtree.

  - If the LP solution is integer, update the current best solution if the objective value is higher.

  - If the LP solution is non-integer, choose the fractional variable with the largest absolute difference from its rounded value as the branching variable.

4. Repeat steps 2 and 3 for each unpruned node until all nodes have been processed.

5. The node with the highest objective value among the integer feasible solutions is the optimal solution.

6. Optionally, backtrace through the tree to retrieve the optimal solution variables.

Note: The specific LP problem and its constraints are missing from the given question, so adapt the steps accordingly.

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The area of the regular polygon with an apothem of 15 inches will be 2338.27 square inches.

Let 'a' be the apothem and 'b' be the regular side length.

Then the area of the regular polygon will be

A = 3 × a × b

We know that each angle of the regular hexagon is 60°.

Then the base length is given as,

b = 2a tan θ

b = 2 x 15 x tan 60°

b = 51.96 in

Then the area of the regular hexagon is given as,

A = 3 × a × b

A = 3 × 15 × 51.96

A = 2338.27 square inches

The area of the regular polygon with an apothem of 15 inches will be 2338.27 square inches.

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Answer:

52 miles per hour

Step-by-step explanation:

I think you're missing some info, so this is all I can help with right now

Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

The worth in Australian dollars is 162.27

Calculation:-

1 US dollar = 105.5 Japanese yen

1 U.S Bollar = 1.63 Australian Dollar

1 Japanese yen = 1/105.5 U.S dollar

SO,

10500 Japanese yen = 1/105.5 × 10500 U.S dollar

                                  = 99.526 U.S dollar

1 U.S dollar = 1.63 Australian dollar

Then 99.526 Us Dollar = 1.63 × 99.526

                                      = 162.227

                                      = 162.27 Australian Dollar

Australia has had a floating exchange rate regime since 1983. This is a popular type of exchange rate regime because it contributes to macroeconomic stability by protecting the economy from shocks and allowing monetary policy to focus on targeting domestic economic conditions. When the dollar rises against the Japanese yen, one dollar buys more Japanese yen.

This also means that dollar buying in the Japanese Yen is declining. If the number of dollars that can be bought with 1 yen decreases, the yen will depreciate against the dollar. If the Australian dollar depreciates or depreciates, less foreign currency is required to purchase a given amount of Australian dollars. This makes goods and services produced in Australia cheaper than they used to be compared to goods and services produced abroad.

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The ratios of\(4\):\(5\) and \(40\):\(3\) are not equal, the initial ratios of \(12\):\(15\) and \(200:15\)are not proportionate.

When two or more numbers or values are compared, the outcome is the ratio, which is expressed as a fraction or a colon. It is used to describe how the relative magnitudes of two or more objects correlate. Ratios can be used to evaluate quantities of the same unit or of different units.

For instance, a ratio of \(3:1\) is used to compare three units to four, while a ratio of \(2:1\) is used to compare two units to one. Ratios can be expressed or simplified in a variety of methods.

The ratio \(6:9\) will become\(2:3\) if both parts are multiplied by\(3\). Ratios can also take the shape of decimals or percentages.

\(12:15 =200:15\)

multiplying both the left side  by\(3\) and right side by \(5\) we get

\(4:5= 40:3\)

Hence it shows that they are not equal so they are not proportionate

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The first step in writing the function in vertex form is (c) Write the function in standard form.

From the question, we have the following parameters that can be used in our computation:

f(x) = 6x² + 5 – 42x

To start with, the function must be rearranged to conform with the standard form of a quadratic function

Using the above as a guide, we have the following:

f(x) = 6x² – 42x  + 5

Hence, the first step in writing the function in vertex form is (c) Write the function in standard form.

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Answer:

Since m∠SRT = 20

Therefore, m∠STR = 20

now

m∠STR +m∠STU = 180 ------------(linear pair angles)

I.e.

20 +4x = 180

i.e. 4x = 180-20

i.e. 4x = 160

i.e. x = 160/4

i.e. x = 40

Thus the value of x is 40 degrees.

Your Welcome!

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Carly purchased 9 1/2 pints of ice cream for a party and that each guest will be served exactly 3/5 pint of ice cream.

The greatest number of guests that Carly can serve will be:

= 9 1/2 ÷ 3/5

= 19/2 ÷ 3/5

= 19/2 × 5/3

= 95/6

= 15 5/6

The greatest number that can be served will be 15