mary and max are playing a game with complex numbers. mary has a score of 3+2i. Wat must Max's score be so that the product of their score is one?

Answers

Answer 1

Since Mary and Max are playing a game with complex numbers, Max's score must be equal to 1/(3 + 2i), so that the product of their score is one.

What is a reciprocal function?

A reciprocal function simply refers to a type of function which comprises a constant on its numerator and an algebraic expression or complex number in its denominator such as: f(x) = 2/3 + 7i.

In Mathematics, a reciprocal function is typically used when describing relationships that are inversely proportional to one other.

Let the variable n represent Max's score. Therefore, a mathematical expression which models the product of both Mary and Max's score is given by the following:

Product = 3 + 2i × n = 1

Making n the subject of formula, we have the following as Max's score;

n = 1/(3 + 2i)

Check:

3 + 2i × 1/(3 + 2i) = 1

(3 + 2i)/(3 + 2i) = 1

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Related Questions

Christopher has 95 toy cars. He arranges his cars in 5 equal rows. Write numbers in the boxes to complete the partial quotient model and the equation to find the number of cars in each row. 95 + 5 = cars​

Answers

The number of boxes to complete the partial quotient model is found to be as 19 cars .

On dividing 95 from 5 we will get 19 as the quotient.

95 / 5 = 19

The quotient is the number that is produced when two integers are divided. It is the outcome of the division process , when we divide a number from another the result is known as quotient.

In arithmetic division, four primary terms are used which are  divisor, dividend, quotient, and remainder. In this post, each phrase will be defined and shown using examples.

Dividend = Divisor + Quotient + Remainder

If the divisor is not able to completely divide the dividend then it leaves a remainder.

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Someone help me out my grade are bad

Answers

Answer:

0.4

Step-by-step explanation:

hope this helps :)

Worksheet fun balancing equations

Answers

The values of x are 16, 15, and 13 respectively after balancing equations 19 - 17 = x - 13, 18 - x = 19 - 16, and 17 - 12 = 18 - x.

what is equations ?

It is thought that a number's simplest form is represented by its smallest equivalent fraction. finding the simplest form: what to do. For shared factors, look into the numerator and denominator. Examine a fractional integer to determine if it is a prime number. An equation is a statement that has two equal sides and an equal sign in the middle. In the general form of any equation, the degrees of all the variables are listed in descending order. The common representation of a linear equation is an x + b = 0. x + b y + c = 0 is the general form of a two-variable linear equation (or something similar). Identity or conditional equations are the two categories under which equations fall. An identity holds true regardless of how the variables are valued.

given

balancing equations

a) 19 - 17 = x - 13

x = 16

b ) 18 - x = 19 - 16

x = 15

c) 17 - 12 = 18 - x

x = 13

The values of x are 16, 15, and 13 respectively after balancing equations 19 - 17 = x - 13, 18 - x = 19 - 16, and 17 - 12 = 18 - x.

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Which question best describes the diagram above? Answer the question. 120 is 25% of what? 25% of 120 is what? 6 is what percent of 120? 120 is what percent of 25?​

Answers

Answer:

1. 480
2. 30
3. 5
4. 480%

Step-by-step explanation:

1.
25% = 120
100% = 120 x 4 = 480
2.
100% = 120
25% = 120 : 4 = 25
3.
120 = 100%
6 = 6/120 x 100 = 5%
4.
25 = 100%
120 = 120/25 x 100 = 480%

Suppose that a recent poll found that 47​% of adults believe that the overall state of moral values is poor. For 350 randomly selected​ adults, compute the mean and standard deviation of the random variable​ X, the number of adults who believe that the overall state of moral values is poor. What is the mean of X and the standard deviation of X?

Answers

Answer:

The mean of X is 164.5 and the standard deviation is 9.34.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they believe that the overall state of moral values is poor, or they do not. The probability of an adult believing this is independent of any other adult, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Suppose that a recent poll found that 47​% of adults believe that the overall state of moral values is poor.

This means that [tex]p = 0.47[/tex]

350 randomly selected​ adults

This means that [tex]n = 350[/tex]

What is the mean of X and the standard deviation of X?

Mean:

[tex]E(X) = np = 350*0.47 = 164.5[/tex]

Standard deviation:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{350*0.47*0.53} = 9.34[/tex]

The mean of X is 164.5 and the standard deviation is 9.34.

what is the approximate volume of the composite figure? use 3.14 for pi. round to the nearest hundredth.

a. 29.31 cm^3
b. 33.49 cm^3
c. 46.06 cm^3
d. 62.80 cm^3​

Answers

Answer:

C. 46.06

Step-by-step explanation:

It's the volume of a sphere/2 plus volume of a cone

Which of these describes a nebula?

A. star close in size to the sun

B. cloud of gas and dust

C. star much larger than the sun

D. cloud of gravity and pressure

Will mark brainliest

Answers

Answer:

B.

A cloud of gas and dust

Answer:

The answer is B. cloud of gas and dust

no links will give brainly
A certain television is advertised as a 38-inch TV (the diagonal length). If the width of the TV is 29 inches, how tall is the TV? Round to the nearest tenth of an inch.

Answers

Answer:

38^2 - 29^2 = 603 ---> height = sqrt(603) = 24.6 inches

How much is a $39 soccer ball at 35% off?​

Answers

Answer:

$25.35

Step-by-step explanation:

Because 39 x 0.35 is 13.65, and 39 - 13.65 is 25.35

Hope this helps!

(yes i corrected this after realizing i mistyped)

Using a pencil
, pair of compasses and ruler, construct a triangle with sides 7cm,5cm and 6cm.
Measure the size of the angle between the 5cm and 7cm sides to the nearest degree. ​

Answers

The angle between the 5cm and 7cm sides to the nearest degree should measure approximately 71 degrees.

To construct a triangle with sides 7cm, 5cm and 6cm, start by drawing a straight line of 7cm length using the ruler. Next, use the compasses to draw an arc from one end of the line, with a radius of 5cm. Then, draw another arc from the same point of the line, with a radius of 6cm. Where the arcs intersect, draw a straight line connecting them to complete the triangle.

To measure the size of the angle between the 5cm and 7cm sides, use the compasses to draw a small arc from the vertex of the angle, and measure the angle using the ruler. To ensure accuracy, divide the angle into smaller, easier-to-measure angles. Repeat the process until the angle is measured to the nearest degree. In this case, the angle between the sides of 5cm and 7cm is approximately 71 degrees.

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Work out the size angle BCD

Answers

By using the fact that the interior angles should add up to 360°, we will see that:

C = 142°

How to find the missing angle?

We know that for any polygon of N sides, the sum of the interior angles is equal to:

S = (N - 2)*180°

In this case, the polygon has 4 sides, then:

S = (4 -2)*180° = 360°

Then we can write the equation:

A + B + C + D = 360°

Replacing the known angles we get:

68° + 43° + C + 107° = 360°

And now we can solve this for C.

C = 360° - 107° - 43° - 68°

C = 142°

That is the measure of the angle BCD.

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help me

how do i graph

y=3-|x-1|

Answers

Answer:

- x= 10-6y+y²

Step-by-step explanation:

|x-1|=3-y

(|x-1|)²=(3-y)²

x-2x+1=9-6y+y²

-x=9-6y+y²+1

Please please help me

Answers

The slope is -2/3 for a line parrell

Answer:

the slope is -2/3 for the line parallel

Step-by-step explanation:

slope of the line is the gradient so can be calculated using the formulae

y2-y1 / x2-x1

0-2 / 3-0

-2/3


help me out yall!!!! I need answers ASAP

Answers

Answer:

199

Step-by-step explanation:

Ok, lets do the math, 41,790 is going to be the number we divide by, and than we use 210 to divide it with, meaning the final answer is 199.

Plasserea numbers in ascending Order

Answers

Answer:

the pic is 't clear

Step-by-step explanation:

please help me out thank you so much whoever does:))!!

Answers

Angle V: 49 degrees

Please help

100


75


50


25

Answers

Answer:

im sorry but can you post like something to go with it cause i dont get it like you only put numbers

Step-by-step explanation:

What is the length of a leg of a 45 45 90 right triangle if the hypotenuse measures 5 square root of 2?

Answers

If the leg of the triangle is equal to a, then:

The second leg is also equal to a.

the given hypotenuse is a√2.

The given area is equal to a²/2; and

The perimeter equals a (2 + √2).

Now, looks easy, but from where does it come? There are various of methods to prove that equation, the most popular of them are:

By using the Pythagorean theorem, we can do that.

As you know one leg length a, then you know the length of the other as well, as both of them are equal.

The given 45 45 90 triangle shows the remaining parameters. Now you know that:

hypotenuse length is - 9 in * √2 = 12.73 in.

area is - 9 in * 9 in / 2 = 40.5 in²; and

perimeter - 9 in + 9 in + 9 in * √2 = 30.73 in.

Find the hypotenuse from the Pythagorean theorem:

a² + b² = c² => a² + a² = c² so c = √(2a²) = a√2

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Please answer this question. *PLEASE*

Answers

Answer:

27

Step-by-step explanation:

Touclass there are 60 students if 6 of them were absent. Find the
percent of absent and present students.​

Answers

Answer:

80%

Step-by-step explanation:

Can i have brainliest please

What is a Ratio??????

Answers

Answer:

the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Step-by-step explanation:

Answer:

a ratio is a part to whole for example chance of getting a one on a dice. so 1:6 or 1/3

Step-by-step explanation:

What does y 3x 3 look like on a graph?

Answers

On a graph, y 3x 3 would be a line that is 3 units below the line y = 3x. It would have the same slope but lower y-intercept.

To graph y 3x 3, we can first graph y = 3x. To do this, we can pick any two points along the line and plot them. For example, if we choose (0,0) and (1,3), the line would look like this:

(0,0) -------------------------- (1,3)

Now, to graph y 3x 3, we want to move the line 3 units down. Therefore, the new points that we plot should be (0,-3) and (1,0). The graph should look like this:

(0,-3) -------------------------- (1,0)

This line is 3 units below the line y = 3x. It has the same slope, but a lower y-intercept.

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A beehive contains 5 gallons of honey. A beekeeper removes 4 gallons, 1 pint, and 2 ounces. How much honey remains in the beehive?
how many quarts_____ and how many ounces_____

Answers

Answer:

3 quarts and 14 ounces of honey remain in the beehive.

Step-by-step explanation:

Pint = 16 ounces

Gallon = 128 ounces

Quart = 32 ounces

So, we start with a total of 640 ounces of honey. The beekeeper removes 530 ounces, leaving 110 behind. 32 ounces in a quart means that there are 3 full quarts in the hive as well as 14 ounces.

Are 2 3 5 the sides of right angled triangle?

Answers

Answer:

No

Step-by-step explanation:

Since [tex]2^2+3^2 \neq 5^2[/tex], the side lengths do not satisfy the Pythagorean theorem.

18 points ! The shape of Gretchen's data can be described as 1) skewed left 2) skewed right 3) symmetrical.



Because of this, the 1) mean 2) median would be the best measure of center for this data set. The actual value for the best measure of center is 1) 7, 2) 9, 3) 9. 1, 4) 9. 6​

Answers

The first blank is skewed left, the second blank is median, and the third blank is 9 is correct options.

What is  skewed left?

A distribution that is left-skewing has a lengthy left tail.

Distributions that are negatively skewed are also known as left-skewed distributions.

This is due to the number line having a significant negative tail.

Additionally, the peak is to the left of the mean.

The right tail of a right-skewed distribution is lengthy.

It's a widespread misperception that "peakness" is defined by the distribution's peak.

To put it another way, a peak that leans left indicates a left-skewed distribution.

Hence, The first blank is skewed left, the second blank is median, and the third blank is 9 is correct options.

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A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concretar are needed for the floor

Answers

This question is incomplete

Complete Question

Consider greenhouse A with floor dimensions w = 16 feet , l = 18 feet.

A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?

Answer:

96 cubic feet

Step-by-step explanation:

The volume of the floor of the green house = Length × Width × Height

We convert the dimensions in feet to inches

1 foot = 12 inches

For width

1 foot = 12 inches

16 feet = x

Cross Multiply

x = 16 × 12 inches

x = 192 inches

For length

1 foot = 12 inches

18 feet = x

Cross Multiply

x = 18 × 12 inches

x = 216 inches

The height or depth = 4 inches deep

Hence,

Volume = 192 inches × 216 inches × 4 inches

= 165888 cubic inches

From cubic inches to cubic feet

1 cubic inches = 0.000578704 cubic foot

165888 cubic inches = x

Cross Multiply

x = 16588 × 0.000578704 cubic foot

x = 96 cubic feet

Therefore, 96 cubic feet of concrete is needed for the floor

Mr. Wú needs to buy new carpet for his
office. The length of the office is 12 feet
and the width is 10 feet. If each square
foot of carpet costs $3, how much will it
cost Mr. Wú to buy carpet for his office? NEED HELP PLS!!!

Answers

Answer:

A - $360

Step-by-step explanation:

Length times width equals area.

12 × 10 = 120

His office has 120 sq ft of space. If each sq ft costs $3

120 × 3 = $360

A

Answer:

A ($360)

Step-by-step explanation:

imagine a rectangle with one side 12ft and one side 10ft

multiply the length and the width to find the square footage:

12*10=120ft^2

each square foot is $3 so multiply 3 by 120

$3*120ft^2= $360

oops didn't realize someone already answered sorry

What is the length of AB?
Round to one decimal place.

Answers

Answer:

5.4

Step-by-step explanation:

"The 'Angle Bisector' Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle."

thus,

DB/AB = DC/AC

2.8/AB = 3/5.8

multiply both sides by AB to make it a numerator

2.8 = 3*AB/5.8

multiply both sides by 5.8/3 to isolate AB

2.8 * 5.8/3 = AB = 5.413 ≈ 5.4

Therefore , the solution of the given problem of triangle comes out to be

AB length = 5.4 units.

Defining a triangle

In a plane, any three points can be joined to form triangles, which have three sides and three angles. They were among the first geometrical forms to be investigated. Because each polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle, they are especially significant.

Here,

According to the "Angle Bisector Theorem," a triangle's opposing side will be divided into two segments that are proportional to the other two sides.

thus,

DC/AC = DB/AB.

2.8/AB = 3/5.8

By multiplying both sides by AB, the numerator is created.

2.8 = 3*AB/5.8

To distinguish AB, multiply both sides by 5.8/3.

2.8 * 5.8/3 = AB = 5.413 ≈ 5.4

Therefore , the solution of the given problem of triangle comes out to be

AB length = 5.4 units.

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What is the horizontal line on a graph?

Answers

The horizontal line of the graph is known as x axis,

The term graph in math is defined as the visual representation of data or the function in math.

Here we have to find the definition for the horizontal line on a graph.

Here we know that the straight line that is mapped from left to right and it is parallel to the X-axis in the plane coordinate system.

On the other hand, we all also know that the straight line that does not make any intercept on the X-axis and it can have an intercept on Y-axis is called horizontal line.

And we all also know that the straight line that is parallel to the x-axis and where all the points on the line have the same y-coordinate and basically all horizontal lines are parallel to each other.

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use your answer in part (a) to find the two values of m for which (m-2)2 -4(m-2)+2=0​

Answers

Answer:

Step-by-step explanation:

Replace m - 2 with x.  Then we have x^2 - 4x + 2 = 0.

Completing the square, we get x^2 - 4x + 4 - 4 + 2 = 0, or

x^2 - 4x + 4 - 2 = 0, or

(x - 2)^2 - 2 = 0, or (x - 2)^2 = 2

Solve for x:  Take the square root of both sides.  Then:

x - 2 = ±√2 and x = 2 + √2 and x = 2 - √2

But x = m - 2; therefore, x = m - 2 = 2 - √2.  Solving for m, we get

m = 4 - √2.    

Also:  m - 2 = 2 + √2 leads to m = 4 + √2.  

The given equation is true for these two values of m.        

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