What is the difference between real function and complex function?

Answers

Answer 1

A real function, usually referred to as a real-valued function, is one whose domain is the real numbers.  A function from complex numbers to complex numbers is referred to as a complex function.

What is complex function?A true function is a prescription that gives values to its input parameters. According to the notation y = f (x), the function f assigns the value y to the argument's value x. Additionally, we occasionally write the function f as f: x y, which means that it sends x to y. A real function, usually referred to as a real-valued function, is one whose domain is the real numbers. The relation is a function if a vertical line only ever crosses the relation on the graph once in all locations. However, the relation is not a function if a vertical line passes across it more than once. All lines are functions based on the vertical line test, with the exception of vertical lines.A function from complex numbers to complex numbers is referred to as a complex function.

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Related Questions

The dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption. If P(terriers) = 15%, interpret the likelihood of randomly selecting a terrier from the shelter. Likely Unlikely Equally likely and unlikely This value is not possible to represent probability of a chance event

Answers

If P(terriers) = 15%, the interpretation of the likelihood of randomly selecting a terrier from the shelter is; Unlikely

How to find the probability of selection?

Probability of selection is one that defines the probability that a population unit is included in a sample generated by probability sampling.

For any population, the probability of any element within that population to be selected into a sample is calculated as the sample size divided by the population size.

In this case, we are told that the dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption. There are three types of dogs.

We are given;

P(terriers) = 15%

This means the probability of randomly selection the other 2 dogs is way higher than that to select terriers.

Thus, we conclude that the probability of selecting terriers is unlikely due to its' low probability.

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Answer: B: Unlikely

Step-by-step explanation:

Pill bluethooth Speaker conit two emiphere and cyclinder. The diameter of the cylinder and emiphere i 2 inche. The height of the cylinder i a foot. The According to the Statement pleae fill in the blank. Pleae anwer the following in inch format and round it to

Answers

The Volume of the Bluetooth speaker is 0.36cm³

The capacity of the Bluetooth speaker = Volume of both the hemispherical parts + Volume of the cylindrical part

Given that,

The volume of a hemisphere of radius 'r' = 2/3πr³

The volume of a cylindrical = πr²h where r is

the radius of the base of the cylinder and h is the height.

The hemisphere and the cylinder will have the same radius r =0.25cm

Since the total length of the toy is 2 cm, the length of the conical part

will be 2−0.25−0.25=1.5cm

Hence, the Volume of the bluetooth speaker =2×( 2/3*22/7 *0.25³) + (22/7 *0.25²*1.5) = 0.36cm³

Correct question: A BlueTooth speaker is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of the entire capsule is 2 cm The capacity of the Bluetooth speaker is?

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Given △abc ~ △xyz, what is the value of cos(z)? five-thirteenths five-twelfths twelve-thirteenths twelve-fifths

Answers

The value of cos(Z) is 12/13.

Since both triangles are similar, △ABC ~ △XYZ, the corresponding angles are congruent. It means:

m∠C = m∠Z, and

cos C = cos Z

The ratio for cosine is adjacent/hypotenuse. In a right triangle, the hypotenuse is the longest side, while an opposite side is the one across from a given angle, and an adjacent side is the one next to a given angle.

Since the side marked 12 is adjacent to angle C and 13 is the hypotenuse of this triangle; so, we know that:

cos C = 12/13

Thus, because of the angles and cosines for C and Z will be the same, it makes:

cos Z = cos C = 12/13

Hence, the value of cos(Z) is 12/13.

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Find the solution to the system of equations.

Answers

The solution to the system of equations, x = 7y - 3 and x + 7y = 8, is: (5/2, 11/14).

How to Find the Solution tp a System of Equations?

One way to solve a system of equations is to use substitution.

We can start by substituting the first equation into the second equation:

x + 7y = 8

(7y - 3) + 7y = 8

7y + 7y - 3 = 8

14y - 3 = 8

14y = 11

y = 11/14

Now that we know the value of y, we can substitute it back into the first equation to find x:

x = 7y - 3

x = 7(11/14) - 3

x = 11/2 - 3/2

x = 8/2 - 3/2

x = 5/2

So the solution to the system of equations is (x, y) = (5/2, 11/14)

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Add the following polynomials, then place the answer in the proper location on the grid. Write answer in descending
powers of x.
Add: x5-4x4+7x³ + 8, 9x³ +7x2-10, and -2x 5 +7x4-3x + 8.

Answers

The simplified exponential notation of the given expression is 9[tex]a^{2}b[/tex].The following polynomials, then put the resolution in the right spot.

what is expression ?

A mathematical expression is a sentence with at least two variables or integers and one mathematical action. Addition, subtraction, multiplication, or division are all possible outcomes of this mathematical process. The following are the fundamental parts of an expression: Expression: (Math Operator, Number/Variable, Math Operator). A statement that has a least two numbers or variables, at least one mathematical operation, and is called a mathematical expression. Let's get acquainted with expressive writing. A number is 6 more than half of another number, which is known as x. This statement is written as x/2 + 6 in a mathematical expression.

given

the expression as:

=[tex](\frac{18}{2})( \frac{a^{3} }{a})(\frac{b^{2} }{b})[/tex]

know  [tex]\frac{a^{m} }{a^{n} } = a^{m - n}[/tex]

So,   =[tex](\frac{18}{2})( \frac{a^{3} }{a})(\frac{b^{2} }{b})[/tex] =  9[tex]a^{2}b[/tex].

The simplified exponential notation of the given expression is 9[tex]a^{2}b[/tex].The following polynomials, then put the resolution in the right spot.

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!!HELP!! evaluate using order of operations: A = L=50 W= 15 give your answer in simplest form

Answers

The numeric value of the expression A = LW, when L = 50 and W = 15, is given as follows:

A = 750.

How to find the numeric value of a function or of an expression?

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The expression for this problem is defined as follows:

A = LW.

The input values of L and W are given as follows:

L = 50, W = 15.

Then the numeric value of the expression is found replacing the lone instance of L by 50 and the lone instance of W by 15, as follows:

A = 50 x 15

A = 750.

As there is only a single multiplication operation, precedence is not relevant for this problem.

Missing Information


The problem asks for the numeric value of the expression A = LW when L = 50 and W = 15.

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Please help!!! 30+ points! Thank you so much! :)

Answers

Answer:

8/5, -5/8

Step-by-step explanation:

[tex]5x+8y=-8 \\ \\ 8y=-5x-8 \\ \\ y=-\frac{5}{8}x-1[/tex]

So, the slope of the given line is -5/8.

Perpendicular lines have slopes that are negative reciprocals of each other, so the answer for the first question is 8/5.Parallel lines have the same slope, so the answer to the second question is -5/8.

What is the mean of the values below (48,59,70,27,61)

Answers

the answer is 53

48+59+70+27+61= 265
265/5=53

Why is it called a prime number?

Answers

Prime numbers are called prime as they come multiplicative first and other numbers are multiples of prime numbers.

As given in the question,

Prime numbers are called prime:

Meaning of prime is known as first.Prime numbers are multiplicatively first numbers .All the other numbers are multiples of prime numbers other than one.'1' is neither a prime number nor a composite number.prime numbers represents such numbers which has only two factors one and the number itself.Example of prime numbers : 2, 3, 5, 7,.... so on.Other numbers : 4 = 2 × 2 , 12 = 2× 2 × 3 so on.

Therefore, prime numbers are called prime as they are multiplicative first numbers other numbers are multiples of prime number other than one.

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evaluate the integral (2 to 1)( v5 + v6) / 4 dv

Answers

If we evaluate the ∫(2to1)(v^6+v^5)/4 dv  the answer would be 7.16

An integral gives numerical values to functions to represent concepts like volume, area, and displacement that result from combining infinite small amounts of data. Integration is the action of locating integrals.

The signed area of the region in the plane that is circumscribed by the graph of a specific function between two points on the real line can be used to represent definitive integrals.

Traditionally, portions above the plane's horizontal axis are positive, and those below it are negative.

First, calculate the corresponding indefinite integral.

∫(v^6+v^5)/4 dv= v^6(6v+7)/168

According to the Fundamental Theorem of Calculus, ∫(b to a) F(x)dx=f(b)−f(a), so just evaluate the integral at the endpoints

(v^6(6v+7)/168)at (v=2)=152/21.

(v^6(6v+7)/168)at (v=1)=13/168

∫(2to1)(v^6+v^5)/4 dv= (v^6(6v+7)/168)at (v=2) - (v^6(6v+7)/168)at (v=1) = 401/56 = 7.16

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please answer this question and I will give you a brainlist!

Answers

The coordinate of point A are (-2,1), Point B are (-4,-2), Point C are (-4,-6), and Point D are (-1,-3).

What is a coordinate of a graph?

A coordinate of a graph is defined as the point where the line of X axis and y axis meets to form a location on the graph.

To find the coordinates of a point in the coordinate system, you do the opposite. Start at one point and follow the vertical axis vertically up or down. You have x-coordinates. Then do the same thing, but with a horizontal line to find the y-coordinate.

Thus, the coordinates of the following points include the following:

Point A: (-2,1)

Point B: (-4,-2)

Point C: (-4,-6)

Point D: (-1,-3)

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Peter own a total of one hundred and forty four prized baeball card. If he were to add 7 more American League player and three more national league player, hi collection of American to national would be in a ratio of nine five. Find out how many card of each league he ha currently

Answers

The total number of baseball cards that Peter owns is 154.

Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.

Two amounts are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."

Given that,

Peter owns a total of one hundred and forty-four prized baseball cards.

He adds seven more American League players and three more national league players.

Total baseball cards he owns = 144+ 7+3 = 154

The ratio of American to national = 9:5 = 9/5 = 1.8

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If polygons are similar then what do you know about the corresponding sides and the corresponding angles ?

Answers

Answer:

Step-by-step explanation:

In Similar polygons, the corresponding angles are congruent, but the corresponding sides are proportional. So, similar polygons have the same shape, whereas their sizes are different. There would be certain uniform ratios in similar polygons.

Determine which representation has the greatest rate of change.

Answers

The representation that has the greatest rate of change is y = 2 + 3.5x

How to find the representation that has the greatest rate of change

The rate of change in the expression y = 2 + 3.5x is 3.5. This is compared with the equation y = mx + c where m is the rate of change

For the table the rate of change is calculated as follows

m = change in y / change in x

m = (20 - 8) / (5 - 1)

m = 12 / 6

m = 2

For the graph the slope is calculated using the points (2, -1) and (3, -4)

m = (-1 + 4) / (2 - 3)

m = 3 / -2

m = -1.5

The slope of 3.5 from the equation is the greatest

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The polygons are similar, but not necessarily drawn to scale. Find the value of x.

Answers

Answer:

Summary: The polygons are similar but not necessarily drawn to scale, the value of x is 13 units.

Step-by-step explanation:

pls follow 4 more :) tysm

What is inequality give answer?

Answers

An inequality is a mathematical statement that compares two expressions and expresses the relationship between them. It is represented by a symbol such as ">", "<", "≥", or "≤" and can be thought of as a generalization of an equation.

Unlike an equation, which has one unique solution, an inequality can have multiple solutions or no solution at all. The solutions of an inequality are the values that make the inequality true.

Inequalities are used to model real-world situations where there are constraints or limitations, such as determining the range of possible values for a variable. They are also used to describe relationships between variables, such as when one variable is greater than or less than another variable.

There are different types of inequalities, such as linear inequalities, quadratic inequalities, and absolute value inequalities, each with their own set of rules and methods for solving them.

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mala walk her dog 3 times a day each walk is 3/4 mile. which expression tell how many mile mala walks her dog each day

Answers

3×3/4 is the expression which gives the 2.25 miles  mala walks her dog each day.

What is Expression?

An expression is combination of variables, numbers and operators.

Given that mala walk her dog 3 times a day

Each walk is 3/4 mile.

We have to find the expression tell how many mile mala walks her dog each day.

The miles walk by Mala and her dog=3×3/4

=9/4

=2.25 miles.

Hence, 3×3/4 is the expression which gives the 2.25 miles  mala walks her dog each day.

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Which of the following is an advantage of a lossless compression algorithm over a lossy compression algorithm

Answers

A lossless compression algorithm preserves all of the original data, while a lossy compression algorithm may discard some of the original data.

A lossless compression algorithm is a type of data compression algorithm that preserves all of the original data without any loss. This means that when the original data is uncompressed, it is exactly the same as when it was compressed. On the other hand, a lossy compression algorithm is a type of data compression algorithm that discards some of the original data in order to reduce the size of the file. This means that when the original data is uncompressed, it may not be exactly the same as when it was compressed.

The advantage of a lossless compression algorithm over a lossy compression algorithm is that it preserves all of the original data, while a lossy compression algorithm may discard some of the original data.

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How many lines of longitude are there in total Class 6?

Answers

There are 180 lines of longitude in total.

Longitude is a geographic coordinate that specifies the east-west position of a point on the Earth's surface. Lines of longitude run in a north-south direction and measure the angular distance of a location east or west of the Prime Meridian, which is located at 0 degrees longitude. Lines of longitude are also known as meridians. Lines of longitude are drawn on the map and divided into 180 sections of exactly equal size. Each line of longitude is assigned a numerical value of 0 to 180 degrees east or west of the Prime Meridian. In total, there are 180 lines of longitude, which form a band around the Earth and divide it into eastern and western hemispheres. Lines of longitude are important for navigation, since they act as reference points for sailors and pilots, who use them to locate their position. They are also used to measure the time of day across different regions of the world.

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HELP PLEASE
The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. if
P(chocolate chip) = 0.50, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.

Equally likely and unlikely
Likely
Unlikely
This value is not possible to represent probability of a chance event.

Answers

Answer: likely

Step-by-step explanation:

50/50

Answer: 50/50

Step-by-step explanation: It Is equally likely because it is 50% of the total.

Which geometric series diverges? three-fifths + three-tenths + three-twentieths + startfraction 3 over 40 endfraction + ellipsis negative 10 + 4 minus eight-fifths + startfraction 16 over 25 endfraction minus ellipsis sigma-summation underscript n = 1 overscript infinity endscripts two-thirds (negative 4) superscript n minus 1 sigma-summation underscript n = 1 overscript infinity endscripts (negative 12) (one-fifth) superscript n minus 1.

Answers

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4 is ∑∞n=1 (2/3)(-4)ⁿ⁻¹

What are divergent geometric series?

The next term in a geometric sequence is produced by multiplying the previous term by the same number across the whole series.

It can be given as,

a+ar+ar²+ar³+...

Here,

is the sequence's (a) initial term, and (r) stands for common ratio.

It should therefore be a series as geometric series diverge.

|r|>1

the first choice is,

3/5+3/10+3/20+3/40+ ...

The common ratio in this case is,

r = (3/10)/(3/5)

r= 1/2

The average ratio is below one. Option an is therefore incorrect.

second option given as,

-10+4-8/4+18/25- ...

Here, the common ratio is,

r = (4/-10)/(-2/5)

r= -2/5

The usual ratio for the second choice is (-2/5), which is below one. This alternative is also incorrect.

The common ratio in option number c is equal to -4. The common ratio's exact value is,

|r|=|-4|

|r|= 4

This common ratio has a greater absolute value than one. This is the best choice as a result.

The absolute value of this series' common ratio, or option number c, represents the geometric series that diverges.

∑∞n=1 (2/3)(-4)ⁿ⁻¹

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Jason is designing a new board game and is trying to figure out all the possible outcomes how many different possible outcomes are there if he spent a spinner with five equal sized labeled Monday, Tuesday Wednesday, Thursday Friday and spent a spinner with three equal sides section labeled walk when I stop

Answers

Answer:8

Step-by-step explanation:

Can a triangle be constructed with sides 2.5 cm 3.0 cm and 6.5 cm give reason?

Answers

We cannot construct a triangle with side lengths 2.5 cm, 3.0 cm and 6.5 cm as they don't follow the Triangle Inequality Theorem.

It is not possible to construct a triangle using the given side lengths of 2.5 cm, 3.0 cm, and 6.5 cm. This is because of the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, if we take 2.5 cm and 3.0 cm as two sides, the sum of their lengths is 5.5 cm. But the length of the third side (6.5 cm) is greater than 5.5 cm, so these three side lengths cannot form a triangle.

It is important to note that this theorem applies to any triangle, whether it is acute, right or obtuse-angled triangle. It is also important to note that this theorem is necessary for the formation of a triangle, and without it, it would not be possible to form a triangle.

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HELP PLS

Sid has a baseball cap collection. 75% of his caps have sports team symbols. If 24 of the caps have the team symbols, how many total caps does Sid have?

Answers

Actually forget this answer

If p is inversely proportional to the square of q, and p is 20 when q is 7, determine p when q is equal to 2.

Answers

The requried value of the proportional value of p when q = 2 is given as 245.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
p ∝ 1 / q²

So,
p₁/p₂ = q₂² / q₁²
Substitute value in the above equation,
20/p = 2²/7²
20 ×49 / 4 = p
p = 245


Thus, the requried value of p when q = 2 is given as 245.

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please help me with this question thank you very much

Answers

today fever is 100.7 F, today is 2.5 higher than yesterday

yesterday is 2.5 lower than today.

x = temperature of yesterday

x + 2.5 = 100.7

x = 98.2 F

Answer:

B)  Let x = yesterday's body temperature

         x + 2.5° = 100.7 °F

         x = 98.2 °F

Step-by-step explanation:

We want to determine Dud's body temperature yesterday.  Therefore, the unknown variable is:

Let x = yesterday's body temperature

If Dud's body temperature today is 2.5° higher than yesterday's body temperature, then his body temperature today is the sum of yesterday's body temperature and the increase:

x + 2.5° = 100.7 °F

To solve the equation, subtract 2.5° from both sides of the equation:

x + 2.5° - 2.5° = 100.7 °F - 2.5°x = 98.2 °F

Therefore, Dud's body temperature yesterday was 98.2 °F.

Task #3: Felicia's Drive
As Felicia gets on the freeway to drive to her cousin's house, she notices that she is a little low on gas. There is a gas station at the exit she normally takes, and she wonders if she will have to get gas before then. She normally sets her cruise control at the speed limit of 70mph and the freeway portion of the drive takes about an hour and 15 minutes. Her car gets about 30 miles per gallon on the freeway, and
gas costs $3.50 per gallon.

a. Describe an estimate that Felicia might do in her head while driving to decide how many gallons of gas she needs to make it to the gas station at the other end.

b. Assuming she makes it, how much does Felicia spend per mile on the freeway?

Answers

Therefore , the solution of the given problem of unitary method comes out to be  A.$10.5 total cost and $ 0.12 .

What is a unitary method, exactly?

By first multiply the value with one unit by the number of units needed, one can use the unit method to solve a problem. Simply put, the unit function is used to distinguish a single entity unit from a given many. 40 needles may be purchased for 400 rupees, or the price of one pen. There may be a standard method for figuring this out. only one nation. Everything has a unique quality. Algebra, its dialectic and inversion, and matrix logic are all analogous concepts.

Here,

Given:

A) Estimate :

70 * 1.25

80*1.25

=> 80 + 20 = 100

and

100/30 = 3.33

thus, approx 4 gallons of gas felicia needs

=> 4 * 3.5 = 14

thus, $14 total cost

Exact :

=> 70 * 1.25 = 87.5 miles

=> 87.5/30 = 2.92 gallons

thus, approx 3 gallons of gas felicia needs

=> 3*3.5 =10.5

thus, $10.5 total cost

B)

=> per cost / miles

=> 3.5 / 30 = 0.116

=>$ 0.12

Therefore , the solution of the given problem of unitary method comes out to be  A.$10.5 total cost and $ 0.12 .

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Someone help me pleaseeeee

Answers

What you you need help with you should put your question to get a answer back first instead of saying help me.

Mike pitches a ridge tent. The tent is 16 yards wide and the slope of the tent measures 23 yards. What is the height of the tent?
I need help

Answers

If Mike pitches a ridge tent. The tent is 16 yards wide and the slope of the tent measures 23 yards, the height of the tent is 28.07 cm

How to solve for the height

The solution for the height would be gotten with the Pythagorean theorem. The theorem states that in a right angled triangle the sum of the square on the hypotenuse is equal to the sum of the square of the two other sides of same triangle.

This is illustrated mathematically as

C² = A² + B²

where C is the height

A is the width in yards

B is the slope.

Then we have

C² = 16² + 23²

C = √785

C = 28.07 yards

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If AB=6 A B = 6 and BC=11 B C = 11 ,what is the length of AC A C ?

Answers

The length of the third side can be in range of [1, 17].

What are triangles?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane

Given is that in triangle ABC, AB = 6 and BC = 11.

In a triangle, the sum of two sides of a triangle is always greater than the third side. This means -

AB + BC > AC

(6 + 11) > AC

AC < 17

Therefore, the length of the third side can be in range of [1, 17].

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true or false: the more matter a star contains,the longer it is able to shine.Pls help fast Assuming a 12% annual interest rate, determine the present value of a five-period annual annuity of $5,000 under each of the following situations: 1. The first payment is received at the end of the first year, and interest is compounded annually. 2. The first payment is received at the beginning of the first year, and interest is compounded annually. 3. The first payment is received at the end of the first year, and interest is compounded quarterly.Depoosite date: 12/31/17, i=?, n=?, Deposit= $4100, PV - 12/31/16: ?Deposite date 12/31/18, i=?, n=?, Deposit=$4100, PV -12/31/16: ?Deposite date: 12/31/19, i=?, n=?, Deposit= $4100, PV- 12/31/16: ?Deposti date: 12/31/20, i=?, n=?, Depostie= $4100, PV - 12/31/16: ?Deposit date: 12/31/21, i=?, n=?, deposite=$ 4100, PV - 12/31/16: ? Check the items you included.Bacteria perform nitrogen fixationMore bacteria perform nitrification,Nitrogen, in usable form, is taken up by plants,and assimilated into their proteins (becomingpart of the plant).An animal eats the plant and the nitrogenbecomes part of the animal's proteins.An animal dies and decomposes, or excreteswaste, returning the nitrogen to the soil. A person does 15 J of work moving a couch 1.3 m. How much force was used? Canon launch is a 4.0 kg bowling ball with 50 J of kinetic energy what is the bowling ball speed true or false: Gravity plays an important role in the formation of stars.Pls help fast???!!!! HCF of 10,100,1000. A company is making new soccer uniforms for a team. The company uses 2.5 yards of fabric for each shirt. The company uses 82.5 yards of fabric to make shirts and shorts for 15 players. The equation and solution below represents the situation. what is 5/8 + 2 /5 estimate Wayne is working at the overseas branch of his organization. He needs some clarification about a project. He approaches a senior manager thinking he would get a good explanation. However, he is instructed to follow protocol and sent away. Also, he is informed that only team leads are allowed to approach senior managers. This implies that the organization has a ______ score. A) high Individualism/Collective Index B) high Power Distance Index C) low Individualism/Collective Index D) low Power Distance Index E) high Uncertainty Avoidance Index The graph below shows the number of words that Chanel can text each minute. Which of the following equations has a greater rate of change than what is shown in the graph? what the word form of 500.2 Write an equivalent expression by factoring for 6a + 15 Use the diagram below to answer the questions.-17h119GFind m_PCT Answer for brainliest please help asap I will give brainliestanswer choices1071327317 can anyone answe this? Plz help ASAP plz help Tendinous inscriptions are the bands that run vertically across the rectus abdominus. true or false translate this ( )