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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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
Answer:
B.
A cloud of gas and dust
Answer:
The answer is B. cloud of gas and dust
Work out the size angle BCD
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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Touclass there are 60 students if 6 of them were absent. Find the
percent of absent and present students.
Answer:
80%
Step-by-step explanation:
Can i have brainliest please
Worksheet fun balancing equations
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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Please answer this question. *PLEASE*
Answer:
27
Step-by-step explanation:
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
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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use your answer in part (a) to find the two values of m for which (m-2)2 -4(m-2)+2=0
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.
Are 2 3 5 the sides of right angled triangle?
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.
help me
how do i graph
y=3-|x-1|
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
What is a Ratio??????
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:
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
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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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.
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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What is the horizontal line on a graph?
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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What is the length of AB?
Round to one decimal place.
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 triangleIn 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 does y 3x 3 look like on a graph?
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 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
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
Please help
100
75
50
25
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:
please help me out thank you so much whoever does:))!!
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?
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%
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!!!
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
Please please help me
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
Plasserea numbers in ascending Order
Answer:
the pic is 't clear
Step-by-step explanation:
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
Answer:
C. 46.06
Step-by-step explanation:
It's the volume of a sphere/2 plus volume of a cone
How much is a $39 soccer ball at 35% off?
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)
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?
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.
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_____
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.
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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.
Answer:
38^2 - 29^2 = 603 ---> height = sqrt(603) = 24.6 inches
What is the length of a leg of a 45 45 90 right triangle if the hypotenuse measures 5 square root of 2?
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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Someone help me out my grade are bad
Answer:
0.4
Step-by-step explanation:
hope this helps :)
help me out yall!!!! I need answers ASAP
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.