The value the function given by (A ∪ B) = {1, 2, 4, 5, 7, 9, 11, 12, 15, 16, 18} and (A ∩ B) = {7}.
What is union of sets?We carry out specific operations in mathematics, such as addition, subtraction, multiplication, etc. Generally speaking, these operators accept two or more operands and output a result dependent on the operation carried out. Similar to this, in set theory, several operations are typically done on two or more sets to obtain a new set of elements depending on the operation. The number of elements supplied by the operation and processing the result of a collective set is represented by the union and overlap of sets. All of the components are taken into account in the outcome when there is a union, but only the ones that are shared when there is an intersection.
The union of the two sets depict all the terms present in both the sets.
Thus, the value of (A ∪ B) is:
(A ∪ B) = {1, 2, 4, 5, 7, 9, 11, 12, 15, 16, 18}
The intersection of the sets depict all the common terms present in the two sets thus the value of (A ∩ B) is:
(A ∩ B) = {7}
Hence, the value the function given by (A ∪ B) = {1, 2, 4, 5, 7, 9, 11, 12, 15, 16, 18} and (A ∩ B) = {7}.
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Need help really please
Answer:
Step-by-step explanation:
No pressure. You just need to look for the number that when added to the other given number, will give the same as the sum on the other side.
For instance, The top-left question:
4+6 = x+8 (let x be the box)
x= 4+6-8
x=2.
OR, since 4 + 6 =10,
you look for a number when added to 8, that gives 10.
That number is 2.
Hope this helps :]
What’s the correct answer answer asap for brainlist NOW
C. "He observes, 'the older, wiser, and better people...proved to be in error...' (Saki 1)" is the passage that is explaining the data (the citation) that was used.
What do you mean by Passage?A passage is a piece of written or spoken text that is typically a part of a larger work or composition, such as a book, article, speech, or poem. Passages can be of varying lengths, ranging from a few sentences to several pages or more, and can be written in different styles and genres. They are usually composed to convey information, express ideas or opinions, tell a story, or evoke emotions in the reader or listener. Passages can be analyzed and interpreted for their literary or rhetorical devices, such as metaphors, similes, allusions, and rhetorical appeals. In academic settings, students are often asked to read and analyze passages as a part of their coursework.
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Write an equation for the line that contains the points (4,-2) and (-2,0)
The linear equation that passes through the two given points is:
y = (-1/3)*x - 2/3
How to write the equation of the line with the two points?A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If a line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
Here we know that the line passes through (4, -2) and (-2, 0), then the slope is:
a = (0 + 2)/(-2 - 4)= 2/-6 = -1/3
y = (-1/3)*x + b
To find the value of b, we can replace the values of any of the points in the equation, if we use (-2, 0) we will get:
0 = (-1/3)*-2 + b
0 = 2/3 + b
-2/3 = b
The linear equation is y = (-1/3)*x - 2/3
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x/q = -5
solve the equation
Answer:
It could be [tex]x=25[/tex] and [tex]q = -5[/tex] or it could be [tex]x=-25[/tex] and [tex]q = 5[/tex]. As both x and q are variables, either of these could be correct.
You are given the three vectors X, Y, and Z. Vector
X=(3, 2), vector Y= {-4, 3), and vector Z= {7, -1}.
What is the magnitude of the resultant vector X-Z+Y?
F. -10
G.-8
H. 8
J. 10
K. 12
Answer:
J.10
Step-by-step explanation:
You just have to add the numbers:
3 + 2 + (-4) + 3 + 7 + (-1) = 10
hope u like it, bye
Why ,do you think, do banks ànd other financial institutions offer cash loans to people that did not apply for it?
Banks and other financial institutions may offer cash loans for reasons like revenue generation and marketing
How to determine the reason banks offer loansBanks and other financial institutions may offer cash loans to people who did not apply for them for several reasons which include
Revenue generation: By offering unsolicited loans, financial institutions can generate revenue from interest charges and fees. Marketing: Offering unsolicited loans to people who did not apply for them can be a way for financial institutions to attract new customers or promote their loan products.Other reasons include:
Risk management, Customer convenience, Mistakes/Errors
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I jsut need some answers thank you mwa
Find x round to the nearest whole number helpppp
Answer:
Below
Step-by-step explanation:
Instead of x , I assume you want the angle.
For RIGHT triangles, remember
cos (angle ) = adjacent leg / hypotenuse
cos ( angle ) = 5 /12
angle = arccos( 5/12) = 65 °
You could also use pythagorean theorem to calculate the misssing side....then use cos law to calculate the angle.
Solve the following equation for y. 22x+2y=-14
Step-by-step explanation:
22x + 2y = -14
2y = -22x - 14
y = -11x - 7
Assume a TCP sender is continuously sending 1,126-byte segments. If a TCP receiver advertises a window size of 6,353 bytes, and with a link transmission rate 10 Mbps an end-to-end propagation delay of 14.4 ms, what is the utilization? Assume no errors, no processing or queueing delay, and ACKs transmit instantly. Also assume the sender will not transmit a non-full segment. Give answer in percentages, rounded to one decimal place, without units (e.g. for an answer of 10.43% you would enter "10.4" without the quotes).
If a TCP receiver advertises a window size of 6,353 bytes, and with a link transmission rate 10 Mbps an end-to-end propagation delay of 14.4 ms, then the utilization is 0.4%.
What is Round trip time?
The round-trip time (RTT) is the time it takes from when a browser submits a request to when it receives a response from a server, measured in milliseconds.
The time it takes for a segment to be transmitted over the link is:
time per segment = 1,126 bytes / 10 Mbps = 0.00009008 seconds
The end-to-end propagation delay is 14.4 ms, or 0.0144 seconds.
The time it takes for an ACK to be sent back from the receiver is the propagation delay plus the time it takes for the ACK segment to be transmitted over the link:
time for ack = 0.0144 seconds + (1 segment / 10 Mbps) = 0.014508 seconds
The time it takes for the sender to receive an ACK after sending a segment is the time it takes for the segment to be transmitted, plus the time it takes for the ACK to be sent back:
round trip time = time per segment + time for ack = 0.00009008 + 0.014508 = 0.0145
The number of segments that can be in flight at any given time is the window size divided by the segment size:
segments in flight = 6,353 bytes / 1,126 bytes = 5.645 segments
We can now calculate the maximum sending rate of the sender by dividing the number of segments in flight by the round-trip time:
max sending rate = segments in flight / round trip time = 387.165 segments per second
The utilization of the link is the sending rate divided by the link rate, multiplied by 100 to get a percentage:
utilization = (max sending rate / 10 Mbps) * 100 = 0.00387165 * 100 = 0.387165%
Rounding to one decimal place, the utilization is 0.4%.
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A washer and a dryer cost $993 combined. The washer costs $43 more than the dryer. What is the cost of the dryer?
Answer:425
Step-by-step explanation:
993-43=950
950/2=425
Answer:
$475
Step-by-step explanation:
Let's call the cost of the dryer x. That means the cost of the washer is x + $43. The combined cost of the two is $993, so we can write the equation:
x + (x + $43) = $993
Expanding the right side:
2x + $43 = $993
Subtracting $43 from both sides:
2x = $950
Dividing both sides by 2:
x = $475
So the cost of the dryer is $475.
PLease help question below
The statement that is true about the graphs is Graph A is a linear function because it has a constant rate of change
What is a graph?A graph is a pictorial representation of a function.
How to find which statemnt is true?Given the graphs A and B, to determine which statement is true, we need to find the characteristics of each graph.
Characteristics of graph AGraph A is a linear graphGraph A has a constant rate of changeGraph A has only one x interceptGraph A has only one y - interceptCharacteristics of graph BGraph B is not a linear graphGraph B does not have a constant rate of changeGraph B has multiple x interceptsGraph B has only one y - interceptComparing all the statements with the given characteristics of both graphs, we see that the statement that is true is Graph A is a linear function because it has a constant rate of change
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Solving linear equations by substitution y=5x-7 -3y-2y=-12
By using the substitution method, the value of x is equal to -1.94 and the value of y is 2.71.
How to solve this system of linear equations?In order to solve the given system of linear equations, we would apply the substitution method. From the information provided in the question above, we have the following system of linear equations:
y = 5x - 7 .......equation 1.
3y - 2x = -12 .......equation 2.
By using the substitution method to substitute equation 1 into equation 2, we have the following:
-3(5x - 7) - 2x = -12
-15x + 21 - 2x = -12
-17x = -12 - 21
17x = -33
x = -33/17 or -1.94
For the value of y, we have:
y = 5(-33/17) - 7
y = -165/17 - 7
y = 2.71
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The average rate of change of a function f(x) = x2 between x = 4 and x = 6 is average rate of change = 6 − 4 = .
On solving the provided question, we can say that The pace at which the y-values change relative to the x-values is the average rate of change for a function, average rate = m = 81-9/6 = 72/6 = 12
What is function?Mathematics is the study of quantities and their variations, equations and related structures, shapes and their locations, and the locations where they can be found. The term "function" refers to the relationship between a set of inputs, each with its own output. A function is a connection between inputs and outputs in which each input leads to a single, distinct result. Each function is assigned a domain and a codomain, also known as a scope. f is commonly used to denote functions (x). The input is an x. Based on the following factors, there are four main types of functions available: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
f(x) =
x1, x2 = 3,9
average rate = f(x2) - f(x1) / 6
average rate = m = 81-9/6 = 72/6 = 12
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Leila is walking from the park at point P to a restaurant at point R. She wants to stop for a break when the distance she has travelled and the distance she has left to travel has a ratio of 3:5, at which point should Leila stop for her break?
Answer: To determine the point where Leila should stop for her break, we need to find the midpoint of the line segment connecting points P and R, since the midpoint will represent equal distances from both points.
Let the distance between points P and R be d, and let's call the point where Leila stops for her break point B.
Since the ratio of the distance travelled to the distance remaining is 3:5, we know that the distance from B to P is 3/8 of the total distance d, and the distance from B to R is 5/8 of the total distance d.
Therefore, point B is the midpoint of line segment PR, and can be found by dividing the distance between P and R by 2.
Step-by-step explanation:
An online furniture store sells chairs for $150 each and tables for $350 each. Every day, the store can ship no more than 22 pieces of furniture and must sell at least $4800 worth of chairs and tables. If
x
x represents the number of tables sold and
y
y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer: x+y=22; 150x+350y=4800
Step-by-step explanation:
Piecewise linear relations
The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).
What is a piecewise function?A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).
The graph is given in the question, as shown
f(x) = 2x + 4 if [-2, 0]
This the sub-function define between the interval [-2, 0].
f(x) = 4 if [0, 2)
This the sub-function define between the interval [0, 2).
f(x) = -2x + 8 if [2, 4)
This the sub-function define between the interval [2, 4).
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Pieto brought a wristwatch for $250 and sold it for $300. What is his percentage gain.
Answer: 83%
Step-by-step explanation: Take 250 and divide it by 300
In △ABC', BD is the perpendicular bisector of ADC . Based upon this information, which statements below can be proven? I.BD is a median. II. BD bisects ABC III. △ABC is isosceles.
(1) I and II, only
(3) II and III, only
(2) I and III. only (4) L I and II
Based upon this information, (2) I and III only statements can be proven.
From the given information, we can prove that statement II is true, i.e., BD bisects ABC.
Proof:
Since BD is the perpendicular bisector of ADC, we have AD = CD and ∠ADB = ∠CDB = 90°. Thus, triangles ABD and CBD are congruent (by the hypotenuse-leg congruence criterion), which implies AB = BC and ∠ABD = ∠CBD. Therefore, BD bisects ∠ABC.
However, we cannot prove that statements I or III are true based solely on the given information.
Statement I (BD is a median) would be true if we had additional information that AD = DB = DC, but this is not necessarily true based on the given information.
Statement III (△ABC is isosceles) would be true if we had additional information that AB = BC, but this is not necessarily true based on the given information. In fact, it is only guaranteed that AB = BC if AD = BD = DC, which is not necessarily the case.
Therefore, the correct answer is (2) I and III, only.
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The United States produced 0.815 million bikes. The total world production that year totaled 126 million bikes. world's total production of bikes is contributed by The United States? Round your answer to the nearest tenth.
The percent of the world's total production of bikes that is contributed by United States is 0.65%.
What does production mean?Production refers to the process of combining different inputs, both material and immaterial, to produce output. Ideally, this output will be a valuable good or service that adds to people's utility.
Data
Number of bikes produced by US = 815,000 bikes.
Number of bikes produced by the world population = 126 million bikes.
The percent of the world's total production of bikes that is contributed by U.S will be:
= (0.815/126) × 100
= 0.00646825396 * 100
= 0.65%.
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You have a wire that is 35 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum?
The circumference of the circle is 110 m.
What is the circumference of the circle?Let us assume that the wire has been cut into two equal halves thus the radius of the circle would be 35 m/2 = 17.5 m
Then;
C = 2πr
C = circumference
r = radius
"pi" is a mathematical constant approximately equal to 3.14 and "r" is the radius of the circle. If the diameter of the circle is known, the radius can be calculated by dividing the diameter by 2.
C = 2 * 3.142 * 17.5
C = 110 m as we can see here
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0.5(1.2)^x percentage
Answer:
20%
Step-by-step explanation:
1 + r = 1.2 = 1 + 0.2 = 1 + 20%
r = 20%
The percent growth is 20%.
mrs.musick splits her students into 2 equal groups. 2/3 of the first group have an A and 40% of second group have an A. what fraction of the class has a A
Hi there, here's your answer:
Given a class is divided into 2 equal groups, i.e. Group A has 1 : 2 of the students in the class and group B has 1 : 2 of the students in the class.
Also [tex]\frac{2}{3} rd[/tex] of group A have an A
While 40% of group B have an A
To find:
Fraction of the class that has A
Solution:
First, we find the % of students in group A who have an A:
Since [tex]\frac{2}{3} rd[/tex] of group A have an A,
[tex]\frac{2}{3}[/tex] × [tex]50[/tex] (∵ 1 : 2 = 50 : 100)
[tex]= \frac{100}{3} = 33.33[/tex] (i)
Therefore, % of students in group A who have an A = 33.33%
Now, we find the % of students in group B who have an A:
Since 40% of group B have an A:
[tex]\frac{40}{100}[/tex] × [tex]50[/tex] (∵ 1 : 2 = 50 : 100)
= 4 × 5 = 20 (ii)
Adding (i) and (ii), we get
33.33 + 20 = 53.33%
Thus, the fraction of the class that has an A = [tex]\frac{53.33}{100}[/tex]
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mz1 = (2x +29)° and mz2 = (5x+20)°. If 21 and
22 are vertical angles, what are mz1 and mz2?
Answer:
Step-by-step explanation:
m∠2 = 90° - 56° = 34°. So, m∠1 = m∠2 = 34°
here the answers
Hassan finds the product of two multiples of 10 the answer is 6000 list 5 different calculations Hassan could write
The two ways of writing the number 6000 will be 10 x 600 and 100 x 60.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
Multiplication is the process of determining the product of two or more numbers in mathematics.
Given that Hassan discovers that the result of two multiples of 10 is 6000.
The two ways can be calculated as:-
10 x 600 = 6000
100 x 60 = 6000
Hence, the two ways are 10 x 600 = 6000 and 100 x 60 = 6000.
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What is the slope of the line that passes through the points ( 6 , 7 ) (6,7) and ( 16 , 22 ) (16,22)? write your answer in simplest form.
Answer:
Step-by-step explanation:
The slope of a line is the change in y (the vertical axis) divided by the change in x (the horizontal axis).
Given the two points (6,7) and (16,22), we can calculate the slope as follows:
Change in y = 22 - 7 = 15
Change in x = 16 - 6 = 10
Therefore, the slope of the line passing through the two points is:
slope = change in y / change in x = 15 / 10 = 3/2
So the slope of the line is in its simplest form, 3/2.
Regenerate response
The temperature in a certain location was recorded each day for two months. The mean temperature was 28.8°F with a standard deviation 7.4°F. What can you determine about these data by using Chebyshev's Inequality with =K3?
Using Chebyshev's Theorem, it is found that at least 89% of days have a high temperature between 6.6ºF and 51ºF.
What does Chebyshev’s Theorem state?When the distribution is not normal, Chebyshev's Theorem is used. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100\left(1 - \frac{1}{k^{2}}\right)[/tex].Considering k = 3, the percentage is of at least 89% and the bounds are given as follows:
28.8 - 3 x 7.4 = 6.6ºF.28.8 + 3 x 7.4 = 51ºF.More can be learned about Chebyshev's Theorem at https://brainly.com/question/2927197
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ill give brainliest to whoever can answer
Robert uses f(x) = 1000(1.06)^x to calculate the interest he earns each year for his savings account. What is the yearly interest rate as a percent?
Please help me with this question
Answer: it’s C. My dear <3
Step-by-step explanation: hope this helps (btw I’m just being nice so don’t ask)
In a certain college, 4 instructors are single out of 24 instructors employed. What is the ratio of single to married instructors?
A. 1 to 6
B. 1 to 5
C. 24 to 4
D. 20 to 24
Answer:
(B) "1 to 5."
Step-by-step explanation:
The ratio of single to married instructors is 1 to 5. Since 4 instructors are single out of 24 total instructors, the ratio of single instructors to married instructors is 4 to (24 - 4) = 4 to 20. Simplifying the ratio to its simplest form, we get 4:20 = 1:5, which is the answer choice (B) "1 to 5."