If n(Ax B) = 72 and n(A) = 24, find n(B).
Solving for Cartesian product n(B), we have n(B) = 72 / 24 = 3.
What is Cartesian product?The Cartesian product is a mathematical operation that takes two sets and produces a set of all possible ordered pairs of elements from both sets.
In other words, if A and B are two sets, their Cartesian product (written as A × B) is the set of all possible ordered pairs (a, b) where a is an element of A and b is an element of B.
For example, if A = {1, 2} and B = {3, 4}, then A × B = {(1, 3), (1, 4), (2, 3), (2, 4)}.
By the question.
We know that n (Ax B) represents the number of elements in the set obtained by taking the Cartesian product of sets A and B.
Using the formula for the size of the Cartesian product, we have:
n (Ax B) = n(A) x n(B)
Substituting the given values, we get: 72 = 24 x n(B)
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1
math
pls help geniuses!!
Answer:
Step-by-step explanation:
I believe it is horizontal bc the y is squared
Which of the following inequalities matches the graph?
\(x \leqslant - 1\)
\(x \geqslant - 1\)
\(y \leqslant - 1\)
\(y \geqslant - 1\)
Given the supply of a commodity, x, and the price of a commodity, y, would you expect a positive correlation, a negative correlation, or no correlation?
A. no correlation
B. positive correlation
C. negative correlation **
The expected correlation between the supply of a commodity (x) and the price of a commodity (y) depends on the nature of the commodity and market dynamics. However, in general, we would expect a **negative correlation** between the supply of a commodity and its price. Correct option is C.
The law of supply states that as the supply of a commodity increases, assuming demand remains constant, the price tends to decrease. This is because an increase in supply leads to a higher quantity of the commodity available in the market, potentially causing an excess supply or surplus. In such situations, suppliers may lower prices to attract buyers and reduce their inventory.
Conversely, when the supply of a commodity decreases, assuming demand remains constant, the price tends to increase. A decrease in supply results in a lower quantity available in the market, potentially leading to a scarcity or shortage. In such scenarios, suppliers may increase prices to maximize their profits due to the limited availability of the commodity.
It's important to note that real-world markets can be influenced by various factors, including changes in demand, production costs, technological advancements, government policies, and market competition, which can complicate the relationship between supply and price. Nonetheless, the general expectation is that a decrease in supply tends to lead to an increase in price, and an increase in supply tends to lead to a decrease in price, indicating a negative correlation.
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Can someone please answer these 2 questions
Answer:
part 1: $532.95. Part 2: 16
Step-by-step explanation:
Part 1: 15 * 15.35 = 230.25
30 * 10.09 = 302.70
230.25 + 302.70 = $532.95
Part 2: R = letters in the word desk
there are 4 letters in the word Desk
\(2^{R}\) = \(2^{4}\) = 2 * 2 * 2 * 2 = 4 * 4 = 16 subsets
Solve |y-2|<10
please
Wouldnt the answer be anything above 12? Because if Y is unknown, and you're taking 2 away from it, and it still has to be greater than 10, then it should be anything above 12. Unless it's saying that the number is greater than 10, and you are just taking away 2 from a number and it doesn't have to be greater than 10.
Help please................. :)
Set x is the set of all multiples of 6 between 15 and 70
Hello Human <3
Here is the answer:
X ∈ { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 206, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414 }
Step-by-step explanation:
the ucl and lcl for an chart are 25 and 15 respectively. the central line is 20, and the process variability is considered to be in statistical control. the results of the next six sample means are 18, 23, 17, 21, 24, and 16. what should you do? group of answer choices explore the assignable causes because the second, fourth, and fifth samples are above the mean. explore the assignable causes because there is a run. explore the assignable causes because there is a trend. nothing; the process is in control.
19.8 The process is in control as no point is outside the upper or lower control limit.
What does a math centerline mean?
Simply put, the centerline is the midpoint of the vertical y-distance between the maximum and minimum y-values. In other words, the centerline would be at y = 0 if y = A sinx, amplitude = 1, maximum y = 1, minimum y = 1, and maximum amplitude = 1.The data for the next six means is 18, 23, 17, 21, 24, and 16.
The central line is k = 20
Generally the mean of the next six mean is mathematically represented as
C = 18 + 23 + 17 + 21 + 24 + 16/6
C = 19.8
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The logarithm form of 5^3 =125 is equal to
a. log5 125 = 3 b. log5 125 = 5
c. log3 125 = 5 d. log5 3 = 3
The correct logarithm form is: a. log5 125 = 3
Question is about finding the logarithm form of 5³ = 125 using the given options.
The correct logarithm form is:
a. log5 125 = 3
Here's the step-by-step explanation:
1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.
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the source, format, assumptions and constraints, and other facts concerning certain data are called .
The source, format, assumptions and constraints, and other facts concerning certain data are collectively called 'metadata'.
Metadata provides information about data that helps users understand and use it effectively.
Some examples of metadata include,
The date and time the data was collected.
The file format of the data.
The units of measurement used.
And any assumptions or limitations that were made during the collection or analysis of the data.
By providing metadata along with the data, users can better understand the context and quality of the data.
This can help them make more accurate and informed decisions.
Metadata is classified into three types which are known as descriptive, administrative, and structural.
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PLEASE HELP!!! Find the slope of each side of the triangle.
9514 1404 393
Answer:
AB: -3BC: 2/3AC: -1/4Step-by-step explanation:
The slope of a given segment is the ratio rise/run. The "rise" is the number of vertical divisions between the points. The "run" is the number of horizontal divisions between the points. The "run" is positive left-to-right. The corresponding "rise" is positive up.
Here are the segment slopes (rise/run).
AB = -3/1 = -3
BC = 2/3
AC = -1/4
FILL IN THE BLANK a/an ____________________________ diagram can be used to show how the tables in a database are defined and related..
A/an database schema diagram can be used to show how the tables in a database are defined and related.
This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and their attributes, and the relationships between them.
The database schema diagram helps in the understanding the logical design of the database, including primary keys, for foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in designing, modifying, and querying the database effectively.
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The product of a rational and irrational number is _____
rational
Answer:
The product of any rational number and any irrational number will always be an irrational number. This allows us to quickly conclude that 3π is irrationa
Pls help, mathmatics 50 points
The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106
What is a rectangle and its Properties ?A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.
Rectangles' essential characteristics are as follows:
A rectangle is a parallelogram.
Each inner angle is equal to 90 degrees and the opposite sides are parallel and equal to one another.360 degrees is the total of all interior angles.The diagonals cut each other in half, and both of them are equal in length.The perimeter of a rectangle with side lengths a and b is equal to 2a+2b units.The Perimeter of the rectangle is 2a + 2b where a and b are the two sides
Now , if w is the width of the rectangle then, the length is 4w given in problem.
Perimeter,
2w + 2* 4w
As it is given in the problem
2w + 2* 4w ≤ 106
The first model of inequality satisfy the problem.
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what is 4-4y−5+2 simplified
A hose fills a 10,000-gallon swimming pool at a rate of 10 gallons per minute. what is the domain and range?
Answer:
Domain: 0 minutes to time it takes to fill. Range: 0 to a 10,000 gallons
Step-by-step explanation:
The domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.
It is given that a hose fills 10000 gallon swimming pool at rate of 10 gallons per minute.
We have to find the domain and range.
What do you mean by domain and range ?
The domain is the set of all values for which the function is defined and the range of the function is the set of all values that function takes.
As per the question ;
Capacity of swimming pool = 10000 gallons
Rate of filling = 10 gallons per minute
So ;
Time taken in filling the swimming pool will be ;
= 10000 / 10
= 1000 minutes
So ;
The domain will be from 0 to 1000 minutes i.e., time taken to fill the swimming pool.
Whereas ;
The range will be from 0 to 10000 gallons i.e., amount of swimming pool filled.
Thus , the domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.
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substitution
x+3y=-4 2x+6y=5
Answer:
This system has no roofs
Answer:
No solution
Step-by-step explanation:
In algebra 1 we are taught that the two rules for solving equations are the addition rule and the multiplication/division rule. The addition rule for equations tells us that the same quantity can be added to both sides of an equation without changing the solution set of the equation.
g the following y vs. x data is given x 1 2.25 3.7 5.1 y 4.25 6 13.7 15.1 the data is fit by quadratic spline interpolants given by f(x)
The quadratic spline interpolants f(x) passes through all given data points, x and y.
Given x and y values,
x: 1, 2.25, 3.7, 5.1
y: 4.25, 6, 13.7, 15.1
The quadratic spline interpolant for the given data is given by
f(x) = {4.25(x − 2.25)(x − 3.7)}/(1−2.25)(1−3.7) + {6(x − 1)(x − 3.7)}/(2.25−1)(2.25−3.7) + {13.7(x − 1)(x − 2.25)}/(3.7−1)(3.7−2.25) + {15.1(x − 1)(x − 2.25)}/(5.1−1)(5.1−2.25)
It can be written in the following format:
f(x) = {4.25(x − 2.25)(x − 3.7)}/2.0625 + {6(x − 1)(x − 3.7)}/2.1875 + {13.7(x − 1)(x − 2.25)}/8.97 + {15.1(x − 1)(x − 2.25)}/13.815
The graph of the quadratic spline interpolant is shown below:
quadratic spline interpolant graph
The quadratic spline interpolant f(x) passes through all given data points, x and y.
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A shoe store stocks 4 pairs of boots for every 5 pairs of athletic shoes. When the store stocks 40 pairs of athletic shoes, how many pairs of boots will they stock?
Group of answer choices
A. 16
B. 20
C. 32
D. 35
Answer:
32
Step-by-step explanation:
40/5=8
8×4=32
Answer:32
Step-by-step explanation:the ratio is 4 boots for every 5 athletic shoe so you divide 40 by 5 and get 8 so you have to multiply 8 by 4 which 32 so when they stock 40 pair of athletic shoes they will also stock 32 pairs of boots
Find the value of x when 6-2x=5x-9x+12 .
Answer:
x=3
Step-by-step explanation:
Help me pls, math is my weak point TwT
Answer:
I hope this helps
solving systems equations: substitution
y=6x+5
y=4x+5
Answer:
y=6x+5 →equation 1
y=4x+5 → equation 2
you can either substitute equation 1 in 2 or equation 2 in 1
substituting equation 1 in 2,
y = 4x + 5
6x + 5 = 4x + 5
6x - 4x = 5 - 5
2x = 0
x = 0/2
x = 0
substituting x = 0 in equation 1, (to get y)
y = 6x + 5
y = 6(0) + 5
y = 0 + 5
y = 5
hope it helps you!!
for f(x)=3x+2 and g(x)=x^2-6, find (f o g)(4)
Answer:
32
Step-by-step explanation:
Evaluate g(4), then substitute the value obtained into f(x) , that is
g(4) = 4² - 6 = 16 - 6 = 10, then
f(10) = 3(10) + 2 = 30 + 2 = 32
48 Points I, M, G, and N form a square on the Argand diagram. If points I, M, and G correspond to complex numbers 2+2i, 3−3i, −2−4i, respectively, then find the complex number that corresponds to point N. Find the length of the diagonal of the square IMGN.
Answer:
Since points I, M, G, and N form a square, we know that the diagonal IM is perpendicular to GN and has the same length as GN. Therefore, to find the complex number corresponding to point N, we can find the midpoint of the diagonal IM and then rotate it 90 degrees counterclockwise to get the corresponding point N.The midpoint of IM is (2+3)/2 + (2−3)/2 i = 5/2 − 1/2 i. To rotate this point counterclockwise by 90 degrees, we can swap the real and imaginary parts and negate the new real part. This gives us the complex number −1/2 + 5/2 i, which corresponds to point N.
To find the length of the diagonal IMGN, we can first find the length of the side of the square. The side length is the distance between I and M, which is |3−2i−2−2i| = |1−4i| = sqrt(1^2+4^2) = sqrt(17).
The diagonal IMGN is the hypotenuse of a right triangle with sides of length sqrt(17), so we can use the Pythagorean theorem to find its length:
|IMGN| = sqrt(2)*|IM| = sqrt(2)*sqrt(17) = sqrt(34).
Therefore, the complex number corresponding to point N is −1/2 + 5/2 i, and the length of the diagonal IMGN is sqrt(34).
Answer: Point N: -3+i
Diagonal length: sqrt52
Step-by-step explanation:
You can start by finding point N by graphing all the other solutions on an x-y graph, using a+bi. Where a=the x point, b= the y point. After looking at this you can deduct that point N has to be at -3+i. Because the x between I and M is 1, the distance between G and N has to be 1 too. Repeat with Y.
Next, you use Points N and M to find the distance. You use the same concept that a=x, and b=y and plug this into the distance formula. You would get sqrt(-3-3)^2+(1+3)^2. This evaluates to sqrt52.
What are the solutions of the quadratic equation 2x^2 5x 12 0?
The solutions of the given quadratic equation are 4 and -3/2. Solved using the factoring method to solve a quadratic equation.
what is a quadratic equation?
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation's general form is ax^2 + b*x + c = 0.
where a, b, and c are constant terms and x is the unknown variable.
Here I am using the factoring method to solve a quadratic equation.
Given quadratic equation is
\(2x^2 - 5x -12 = 0.\)
By comparing the General form of the quadratic equation we will get
a = 2, b = -5 and c = -12.
2x^2 - (8-3)x - 12 = 0.
2x^2 - 8x + 3x -12 = 0.
2x(x-4) + 3(x-4) = 0
(x - 4) (2x + 3) = 0.
x - 4 = 0 or 2x + 3 = 0
x = 4 or x = -3/2
Given Question is incomplete complete question here:
What are the solutions of the quadratic equation 2x^2-5x-12 = 0?
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Which class has the smaller inner quartile range?
Mrs. Moore class has the smaller interquartile range
Which class has the smaller interquartile range?From the question, we have the following parameters that can be used in our computation:
Dot plots
On the dotplots, we have the following readings
Mr Kim: Mrs. Moore
Q1 64 62
Q3 69 66
The difference between Q3 and Q1 is the IQR
So, we have
Mr Kim: Mrs. Moore
Q1 64 62
Q3 69 66
IQR 5 4
4 is less than 5
Hence, Mrs Moore class has smaller IQR
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I need help
You are moving to a new apartment and need to hire a moving company. You've researched local moving companies and found these price options.
Company Flat Fee Hourly Rate
Company A $50 $25
Company B $40 $30
Company C $60 $20
Company D $150 $5
If you anticipate that it will take about 4 hours to move everything, which moving company offers the best deal?
A.
Company A
B.
Company B
C.
Company C
D.
Company D
Answer: Company C
Step-by-step explanation:
A: $150
B: $160
C: $140
D: $170
So Company C has the best rate.
Please help me wiyh this
In triangle △WXY, XY ≅ WX and m∠X=38 Find m∠W
Maria is flying to California. When she gets there she plans to rent a car. The cost for the car rental is $42 per day. If Maria has budgeted $200 for the car rental, what is the maximum number of days she can keep the car?
2
3
5
4
The solution is 4 days
The number of days Maria can rent the car is given by the inequality equation 42n < 200 where n is the number of days
The value of n = 4 days
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Let the number of days be = n days
The total amount budgeted by Maria when flying to California = $ 200
The amount required to rent the car per day = $ 42 per day
Now , the total amount for renting the car for n days = amount required to rent the car per day x number of days
Substituting the values in the equation , we get
The total amount for renting the car for n days = 42n
Now , the maximum number of days Maria can rent the car is given by the inequality equation A
42n < 200
Divide by 42 on both sides of the equation , we get
n < 4.76
On approximating the inequality , we get
n < 4 days
Therefore , the value of A is 4 days
Hence , The number of days Maria can rent the car is 4 days
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