What is the value of the current I?

Answers

Answer 1

The current value of "i" in the complex numbers is √(-1)

The value of I as current is expressed as Amperes

In order to know what "i" is and what its value is, we must first know what kind of number it is.

How is current expressed?

The current is the flow of electric charge, it is denoted with the letter "I" and its unit of measure is Amperes, it can take any value even complex numbers.

Complex numbers

Complex numbers are known as imaginary numbers and can be defined as an extension of the set of real numbers, since in its structure it has a real number followed by an imaginary number denoted with the letter "i".

In function to this type of numbers there is a particular value and it is the "i" which is the result of the square root of -1, then we have:

√(-1) = i

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Related Questions

11. Solve the Right Triangle.

Answers

The sides of the right triangle are as follows:

AC = 3.2 metres

AB = 12.4 metres

How to solve right triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sum of angles in a right triangle is 180 degrees.

Therefore, the sides of a right triangle can be found using trigonometric ratios.

Hence, let's find AC

tan 15 = opposite / adjacent

tan 15 = AC / 12

cross multiply

AC = 12 tan 15

AC = 12 × 0.26794919243

AC = 3.21539030917

AC = 3.2 metres

Let's find AB

cos 15 = adjacent / hypotenuse

cos 15 = 12 / AB

AB = 12 / cos 15

AB = 12 / 0.96592582628

AB = 12.423314503

AB = 12.4 units

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What is the slope of 3x 5y =- 15?

Answers

Answer:

m = -3/5

Step-by-step explanation:

We have to get to the equation y = mx + b

3x 5y = -15

We subtract 3x from both sides

5y = -3x - 15

Then we divided by 5 into both sides

y = -3/5x - 3

We know our equation is y = mx + b

m = the slope

b = y-intercept

The slope is -3/5

Why is i squared equal to 1?

Answers

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

Given that,

We have to find why i squared is equal to negative 1.

We know that,

The imaginary numbers are denoted as i.

We occasionally obtained negative integers in equations when using the radican (square root) symbol to solve them. When they realized this, some would halt and respond, "no actual solution," which is technically accurate. We can further simplify radicals by using the imaginary number I which is the square root of real numbers. We occasionally even manage to get rid of the fictitious element, which provides us with actual solutions.

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

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What is the probability distribution of getting a sum of 4?

Answers

Probability of getting the sum as 4 when a pair of dice is rolled is 1/12.

Define probability.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Value of probability can be greater than 1?

No, probability is aways between 0 to 1.

Find total number of possible outcomes

Here it is given that a pair of dice is rolled

So the event points are

= { (1,1), (1,2), (1,3), (1,4),(1,5),(1,6),(2,1), (2,2), (2,3), (2,4),(2,5),(2,6),(3,1), (3,2), (3,3), (3,4),(3,5),(3,6),(4,1), (4,2), (4,3), (4,4),(4,5),(4,6),(5,1), (5,2), (5,3), (5,4),(5,5),(5,6),(6,1), (6,2), (6,3), (6,4),(6,5),(6,6)}

So the total number of possible outcomes = 36

Let A be the event that of getting a sum of 4

So the event points are (1,3) , (2,2) , (3,1)

So total number of possible outcomes for the event A is 3

Hence the required probability= P(A)= no. of favorable cases to event A/total no of outcomes

=3/36

=1/12

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Exponential functions have the form f(x)= b^x. What type of an exponential function would you have (increasing or decreasing) if the value of b is greater than one?.

Answers

An exponential function with a base greater than 1 will be increasing in nature.

This is because when the base of an exponential function is greater than 1, the exponent is raised to a power greater than 1, and the result will always be greater than the original number. This means that as the value of x increases, so too will the value of the function. To illustrate this, the formula for an exponential function with base b can be written as f(x) = b^x. As x increases, b^x will become larger and larger, resulting in a continually increasing function. For example, if b = 2, then f(x) = 2^x. As x increases, 2^x will increase exponentially, resulting in a function that is always increasing.

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factor completely? please

Answers

By Quadratic Formula factors of [tex]a^2+4b^2[/tex] are [tex](a+2bi),(a-2bi)[/tex].

What is Quadratic Formula?

The quadratic formula in elementary algebra is a formula that gives the solution(s) to a quadratic equation. In addition to the quadratic formula, there are various methods for solving quadratic equations, including factoring (direct factoring, grouping, and the AC technique), completing the square, graphing, and others.

The following general quadratic equation is given:

[tex]ax^2+bx+c=0[/tex]

The quadratic formula is:

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}, \frac{-b-\sqrt{b^2-4ac} }{2a}[/tex];

where x stands for an unknown, a, b, and c are constants, and a≠0.

Each of these two answers is also referred to as a quadratic equation root (or zero). These roots, which are clearly stated as [tex]y = ax^2 + bx + c[/tex], are the x-values at which any parabola crosses the x-axis geometrically.

Calculation:

Given;

[tex]y=a^2+4b^2;\\[/tex]

By comparing this with general equation [tex]x=a,a=1,b=0,[/tex][tex]c=4b^2[/tex]

By substituting in the formula;

[tex]x=\frac{-0+\sqrt{(0)^2-4(1)(4b^2)} }{2(1)} =2bi\\(or) x=\frac{-0-\sqrt{(0)^2-4(1)(4b^2)} }{2(1)} =-2bi[/tex]

That gives us;

[tex]y=(a+2bi)(a-2bi)[/tex]

By Quadratic Formula factors of [tex]a^2+4b^2[/tex] are [tex](a+2bi),(a-2bi)[/tex].

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A"B"C"D" is the image of ABCD after the composition of transformations
T(-2,0) R180° about the origin.

What is the sum of the x and y coordinates of D"

Answers

The sum of the x and y coordinates of D" is 6

How to determine the sum of the coordinates

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

D = (-1, -3)

The transformation rule is given as

T(-2,0) R180° about the origin.

Mathematically, this can be represented as

(x, y) = (-x + 2, -y)

So, we have the following representation

D" = (1 + 2, 3)

Evaluate the like terms

D" = (3, 3)

When the coordinates are added, we have

Sum = 3 + 3

Evaluate

Sum = 6

Hence, the sum is 6

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Complete question

A"B"C"D" is the image of ABCD after the composition of transformations

T(-2,0) R180° about the origin.

What is the sum of the x and y coordinates of D" if the coordinate of point D is (-1, -3)?

How do you count 1 in an array?

Answers

To count 1 in an array, one can use a looping structure to iterate through each element in the array and increment a counter every time the element is equal to 1.

This can be accomplished using a while loop, a for loop, or a for-each loop. A while loop would use a variable to track the index of the array, and then use a conditional statement to check if the value at the current index is equal to 1. Then, the loop can increment the counter and the index variable. A for loop can be used in the same manner, but with the index variable declared within the loop.

A for-each loop can be used to iterate through the elements of the array, and a conditional statement can be used to check if the current element is equal to 1 and increment the counter if necessary. Whichever looping structure is used, the result should be the same. The counter will hold the number of 1s present in the array after the loop completes.

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!Please Help.! I'm falling behind in the math and don't how to do this.

Answers

Answer:

m = 12

Step-by-step explanation:

The equation is y=mx +b

Where m is the slope

So, in this case slope is 12

12 is an integer, so my answer is correct!

y = mx + b

m = slope

b= y-intercept

So

m = 12 and b = 6

Answer for is one would be 12.

Don’t be scared. You got it.

Is Circumcentre and centroid of a triangle same?

Answers

Answer:

no, they are different in their different ways

How many months before you can loan at SSS?

Answers

Members who have made at least 36 months' worth of contributions overall and six months' worth within the previous 12 months are eligible to apply for a loan through SSS.

One month's worth of salary is equal to the amount of the salary loan. If you have at least 72 months of posted contributions and six months of contributions during the last 12 months, you may also be eligible to apply for a two-month wage loan.

If you have a job, your employer is responsible for keeping your loan payments and monthly contributions current. Additionally, you need to keep up with payments on all of your other loans.

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What are the three identities?

Answers

Answer: (a+b)2 = a2 + b2 + 2ab., (a-b)2 = a2 + b2 – 2ab.,a2 – b2 = (a+b) (a-b)

Step-by-step explanation:

Pleaseee help me out

If\(\triangle XYZ\sim\triangle EDFV), the measure of angle F is

Answers

Answer:

63 degrees

Step-by-step explanation:

similar triangles have the same angles.

XYZ is similar to EDF. Therefore the measure of angle Z is the same as angle F. The measure of angle Z is 63, so the measure of angle F is also 63.

What is the reason or purpose of solving system of equations?

Answers

The main reason behind solving an equation system is to find the value of the variable that satisfies the condition of all the given equations true.

What is solving system?

Solving system can be defined as solution set of a system of equations to the collection of all solutions. Solving the system also means finding all solutions with formulas involving some number of parameters.

There are three methods used to solve systems of equations such as:

GraphingSubstitution Elimination

Therefore the main reason behind solving an equation system is to find the value of the variable that satisfies the condition of all the given equations true.

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What is the equation of the line that passes through the point (5,-5) and has a slope of -1/5

Answers

Considering the definition of a line, the equation of the line that passes through the point (5, -5) and has a slope of -1/5 is y= -1/5x -4.

Linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Line in this case

In this case, you know that:

The line has a slope of -1/5.The line passes through the point (5, -5).

Substituting the value of the slope m and the value of the point in the expression of a line, the value of the ordinate to the origin b can be obtained as follow:

-5= -1/5×5 + b

-5= -1 + b

-5 +1= b

-4= b

Finally, the equation of the line is y= -1/5x -4.

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What additional information do you need to prove ∆ ABC ≅ ∆ def by the ASA postulate?

Answers

Answer:

⭐2 corresponding, congruent angles

⭐1 corresponding, congruent side length that is included between the 2 angles

Example (figures not drawn to scale);

Select all the points that segment ge¯¯¯¯¯ contains. triangle d e f with sides d e and e f congruent. segment e g is drawn from vertex e to base d f such that it bisects the base. segment e g also divides the vertex angle d e f into two angles, d e g with measure 3 y plus 4, and f e g with measure 5 y minus 10.

Answers

The segment e g contains the points e and g, and it bisects the triangle d e f into two congruent parts.

The points that segment e g contains are the points e and g.

Segment e g bisects triangle d e f, which means that it cuts the triangle into two equal parts. This means that the two sides d e and e f are congruent, and that the vertex angle d e f is divided into two equal angles, d e g with measure 3 y plus 4, and f e g with measure 5 y minus 10.

This can be expressed using the following formula:

Let d e = x

Then d e g = 3x + 4

f e g = 5x - 10

and d e + e f + f e g = 180°

Substituting the values for d e g and f e g, we get:

3x + 4 + x + 5x - 10 = 180°

9x = 196

x = 21.77

Therefore, the length of the sides d e and e f is 21.77.

Since segment e g bisects the base d f, it divides the base into two equal parts, each of length 10.88. The segment e g also divides the vertex angle d e f into two angles, d e g with measure 3 x + 4 = 67.33, and f e g with measure 5 x - 10 = 108.67.

Therefore, segment e g contains the points e and g, and it bisects the triangle d e f into two congruent parts. The segment also divides the vertex angle d e f into two angles, d e g with measure 67.33, and f e g with measure 108.67.

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Solve the equation. Show your work. Express your answer as both a simplified mixed number and as a decimal.

-2.25 + 0.4x = -2.8

Answers

The value of x in the equation -2.25 + 0.4x = -2.8 is -12.625

How to calculate the equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

The equation is given as:

-2.25 + 0.4x = -2.8

Collect like terms

0.4x = -2.8 + 2.25

0.4x = -5.05

Collect like terms

x = -5.05 / 0.4

x = -12.625

The value of x is -12.625.

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The solution to the given linear equation, -2.25 + 0.4x = -2.8, is x = -1.375 or x = -1 3/8

Solving Linear Equations

From the question, we are to solve the given equation

The given equation is

-2.25 + 0.4x = -2.8

To solve the equation, we will determine the value of the unknown variable.

In the given equation, the unknown variable is x

Solving for x

-2.25 + 0.4x = -2.8

Add 2.25 to both sides of the equation

-2.25 + 2.25 + 0.4x = -2.8 + 2.25

0.4x = -0.55

Divide both sides of the equation by 0.4

0.4x/0.4 = -0.55/0.4

x = -1.375

Convert to a mixed number

x = -1.375 = -1375/1000

x = -11/8

x = -1 3/8

Hence, the solution is -1.375 or  -1 3/8

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What is the base of x2?

Answers

The given expression x² is an algebraic expression where x is the base and 2 is the exponent.

Therefore, the answer is x.

In an expression aᵇ, a is the base and b is the exponent. Here the expression aᵇ implies the base a is multiplied b times. For example x² implies x multiplied twice, that is

x² = x × x

Base number is the number which is multiplied to itself and the exponent denotes the number of times it is multiplied to itself. For example

x⁰ = 1

x¹ = x

x² = x×x

x³ = x×x×x

x⁴ = x×x×x×x

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What is the sum of ​182330+23​ ?

18 25/33

18 13/30

19 13/30

19 25/33

❗quick please❗

Answers

Answer:

19 and 13/30

Step-by-step explanation:

First make 2/3 have a common denominator with 23/30

You can do this by multiplying the numerator and denominator of 2/3 to get 20/30

Now add

20/30 + 23/30  = 43/ 30

Simplify this fraction

1 and 13/30

add this to 18

18 + 1 and 13/30 = 19 and 13/30

Does the following equation has no real roots 3x² 4 √ 3x 4 0?

Answers

Yes, the equation has no real roots.

To solve this equation, we first move the constant terms to the right side and the terms with x to the left side.

3x² - 4√3x = -4

Next, we square both sides of the equation.

(3x² - 4√3x)² = (-4)²

9x⁴ - 24√3x² + 16x = 16

Next, we move the constant terms to the right side of the equation.

9x⁴ - 24√3x² = -16

Next, we factor the left side of the equation.

(3x² - 8√3)(3x² + 8√3) = 0

Finally, we set each factor equal to zero and solve for x.

3x² - 8√3 = 0

3x² + 8√3 = 0

However, these equations have no real solutions, so the original equation has no real roots.

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What is the z-score for a height of 67 inches?

Answers

Simply said, a z-score, also known as a standard score, informs you of how much a data point deviates from the mean.

It is not possible to determine the z-score for a height of 67 inches without additional information.

What is mean?

The sum of all values divided by the total number of values determines the mean  of a dataset.

What is z-score?

A z-score, also known as a standard score, informs you of how much a data point deviates from the mean.

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The diameter of a circle is 6 m. What is the area of the circle to the nearest square meter?

Answers

Answer:

To find the area of a circle, we can use the formula A = πr^2, where A is the area of the circle, π is a constant with a value of approximately 3.14, and r is the radius of the circle. To use this formula, we first need to find the radius of the circle. We can do this by dividing the diameter of the circle by 2:

r = Diameter / 2

r = 6 m / 2

r = 3 m

Substituting this value for r into the formula for the area of a circle, we get:

A = πr^2

A = 3.14 * 3^2

A = 3.14 * 9

A = 28.26

Therefore, the area of the circle is 28.26 square meters. Rounded to the nearest whole number, this is equal to 28 square meters.

In the pair of linear equation a1x b1yc1=0 and a2xb2yc2=0,if a1/a2 i not equal to b1/b2 then the equation have no olution. (True or fale)

Answers

The statement is false. In the pair of linear equation, if a₁/a₂ ≠  b₁/b₂ then the equations have unique solution.

Given that,

The pair of linear equation

a₁x +b₁y +c₁=0 and

a₂x +b₂y +c₂=0

We have to prove if a₁/a₂ ≠  b₁/b₂ then the equations have no solution.

We know that,

In the pair of linear equation

a₁x +b₁y +c₁=0 and

a₂x +b₂y +c₂=0

If a₁/a₂ ≠  b₁/b₂ then System is called consistent and have a unique Solution

Lines intersect each other at unique point

a₁/a₂ =  b₁/b₂ = c₁/c₂ then consistent (infinite solution) as both Equation represent same line

a₁/a₂ =  b₁/b₂ ≠ c₁/c₂ then inconsistent (no Solution) as Lines are parallel and never intersect each other

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2y+(4+5y) please answer

Answers

Answer:

7y + 4

Step-by-step explanation:

2y+(4+5y)

2y + 4 + 5y

combine y terms:

7y + 4

4x + 6 = 2(3x - 7)
Solve

Answers

Answer:

x = 10

Step-by-step explanation:

Method 1: Algebraically

1. 4x+6 = 2(3x-7) - Multiply out the 2

2. 4x+6 = 6x-14 - make x the subject of the formula first by subtracting 4 from both sides

3. 6 = 2x-14 - add 14 to both sides

4. 20 = 2x - divide by 2 to solve for x

5. 10 = x - Answer

Method 2: Graphing

Use a graphing calculator to solve for the answer

1. set one side to y1 and the other to y2

2. set the correct window

3. press 2nd then trace

4. Select option 5 to find the intersection

How do you simplify an equation?

Answers

Answer:

see explanation below

if you have any questions on equation you can send it to me

Step-by-step explanation:

We have various of ways in which we can simplify an equation

for example

simplify: 2x – 4 = 10

soln

2x – 4 = 10

since we are looking for x we need to collect like terms

2x = 10 + 4

2x = 14

Then we will divide both sides by 2 to get x

x = 14/2

x = 7

N.B:- after solving an equation if you want to check the answer just substitute for the value

2x – 4 = 10

2(7) – 4 = 10

14 – 4 = 10

10 = 10

LHS = RHS

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Tori and Matias work as jewelers. Tori has an hourly wage of $24 and gets overtime for every hour she works over 40 hours. The overtime pay rate is 150% of the normal rate. Matias makes 5% commission on all jewelry he sells. Who earns more money in a week if Tori works 60 hours and Matias sells $21,000 worth of jewelry? Explain.

Answers

Tori earns more money.

How to find the commission rate?Add the sales income and the sales commission rate together to get the payable commission. A $10,000 product transaction would result in a $1,000 commission at a 10% commission rate.This is a pretty straightforward computation based on percentages. Simply take the selling price, multiply it by the commission rate, then divide the result by 100.Divide the base for that period by the appropriate commission rate to determine your commission for that period. For instance, if your commission rate is 5% and you generated $30,000 worth of sales between January 1 and January 15, you would multiply $30,000 by.05 to arrive at your $1,500 commission payout.

Given data :

Tori : $24/h; 150% OT

Calculate Tori's overtime (OT) pay

Convert OT rate to decimals --> 150% = 1.

Tori's OT wage is 1.5*$24 = $36

Tori worked for 20h OT. (60h-40h = 20h)

(Regular pay X regular hours worked) + (OT wage X OT hours worked)

= ($24 X 40h) + ($36 X 20h)

= $1680

Matias : 5% commission

Convert 5% to decimals --> 0.05

(Jewelry sold) X (commission rate)

= $21000 X 0.05

= $1050

Since $1680 > $1080, Tori earns more.

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Whats a mean example?

Answers

The mean of the given data set is 29.5.

The term "mean" refers to the arithmetic average of the data set and is derived by dividing the total number of data points in the data set by the total number of data points. It is a data point that represents the average of all the data points in the collection.

Example :

Find the mean of the following data set.

10, 20, 36, 12, 35, 40, 36, 30, 36, 40

Given,

xi = 10, 20, 36, 12, 35, 40, 36, 30, 36, 40

n = 10

Mean = ∑xi/n

= (10 + 20 + 36 + 12 + 35 + 40 + 36 + 30 + 36 + 40)/10

= 295/10

= 29.5

Therefore, the mean of the given data set is 29.5.

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Find the mean of the following data set.

10, 20, 36, 12, 35, 40, 36, 30, 36, 40

Given,

xi = 10, 20, 36, 12, 35, 40, 36, 30, 36, 40

n = 10

Mean = ∑xi/n

= (10 + 20 + 36 + 12 + 35 + 40 + 36 + 30 + 36 + 40)/10

= 295/10

= 29.5

Consider the enlargement of the rectangle. A small rectangle with length of 4 and width of 2. A larger rectangle with length of 12 and width of 6. Which proportional statements are true of the enlargement? check all that apply. Startfraction width original over length original endfraction = startfraction width enlargement over length enlargement endfraction startfraction length original over length enlargement endfraction = startfraction width original over width enlargement endfraction startfraction width original over length enlargement endfraction = startfraction length original over width enlargement endfraction startfraction width enlargement over length enlargement endfraction = startfraction width original over length original endfraction startfraction length original over width enlargement endfraction = startfraction length enlargement over width original endfraction.

Answers

The two given rectangles are proportional to each other since they have a width-to-length ratio of 2 and the area ratio between them is equal to 9.

Two rectangles are proportional to each other when both have the same length-to-width ratio. The area ratio is defined by the following formula:

r' = (l' · h')/(l · h)      (1)

Where:

l' - Length of the enlarged rectangle.

l - Length of the original rectangle.

h' - Length of the enlarged rectangle.

h - Length of the original rectangle.

Now we determine the length-to-width ratio of each rectangle:

Original rectangle

s = 4/2

s = 2

Enlarge rectangle

s' = 12/6

s' = 2

The two rectangles have the same length-to-width ratio.

The area ratio is:

r' = (12 · 6)/(4 · 2)

r' = 72/8

r' = 9

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Two rectangles are proportional to each other when both have the same length-to-width ratio. The area ratio is defined by the following formula:

r' = (l' · h')/(l · h)      (1)

Now we determine the length-to-width ratio of each rectangle:

Original rectangle

s = 4/2

s = 2

Enlarge rectangle

s' = 12/6

s' = 2

The two rectangles have the same length-to-width ratio.

The area ratio is:

r' = (12 · 6)/(4 · 2)

r' = 72/8

r' = 9

Other Questions
A customer contact audit is done by A society is productive inefficient when O a. it produces at a point on its PPF. O b. it does not produce the maximum amount of output with its given resources and technology O c. it can produce more of one good only by giving up some of another good. O d. it produces at a point beyond its PPF Research some professional organizations and agencies related to the healthcare field and examine the roles that each play. List at least one organization related to the diagnostics pathway and one related to the therapeutics pathway, and discuss how healthcare professionals benefit from being members. Why did some black abolitionists become increasingly militant? Are teachers respected in Vietnam? What are 2 major benefits that have resulted from NAFTA? co2 gas in a closed container has a partial pressure of 0.400 atm. if all the co2 is consumed in the reaction below, what is the partial pressure of the o2 formed? (assume constant volume and temperature.) a car owner decides to leave his car outside on a cold winter day. the next morning, the driver noticed ice on the windshield, a product of deposition. choose the best reason explaining this phenomenon. what happened? You are tasked with scanning across the network space 192.168.2.x and identifying what operating systems are presently running. Select the correct tool and command-line switch necessary to determine what operating systems are running on that subnet.A. nikto -Version 192.168.2.0B. nmap -O 192.168.2.0/24C. syslog -network 192.168.2.0-192.168.2.254D. netstat -a 192.168.2.0 /24 Why did people immigrate to Chicago? What is the moral lesson of Huckleberry Finn? What does a barter economy rely on? you have been asked to configure high availability for your dhcp service in your network by your chief technology officer. she has requested that you utilize an option that preserves lease information, even if one server fails, and efficiently utilizes all servers for lease assignment. what should you use? in b2b marketing, in which of the following buying situations is the decision making most complex and elaborate?a. modified rebuyb. strayght rebuyc. new buyd. with the RFH Process dorothy watched news reports about a devastating tornado in a neighboring state and in response she decides to quadruple the amount of home insurance that she currently has. Dorothy's decision is the result of what are the three steps for correcting an amount posted to an incorrect column? Write the slope-intercept equation of the line throughthe coordinates (4,5) and (-4,-3). What are the D words? g which of the following is the most effective way to describe multivariate relationships? group of answer choices schedules graphs equations schedules and graphs How do you reverse a 2 digit number?