Answers
Our initial assumption that S is non-empty must be false. Therefore, for every x ε W, f(x) < x.
To prove the given statement, let's assume that (W, <) is a well-ordered set and f: WW is an increasing function. We need to show that f(x) < x for each x ε W.
Since (W, <) is a well-ordered set, every non-empty subset of W has a minimum element. Let's consider the set S = {x ∈ W | f(x) ≥ x}. Suppose S is non-empty.
By the well-ordered property of (W, <), S has a minimum element, let's call it a. Since a is the minimum element of S, it implies that for all x < a, f(x) < x, because if f(x) ≥ x for any x < a, then x would be an element of S smaller than a, contradicting the assumption that a is the minimum element of S.
Now, let's consider f(a). Since f is an increasing function, f(a) ≥ f(x) for all x < a. But we also know that f(x) < x for all x < a. Combining these two inequalities, we get f(a) < x for all x < a, which means f(a) is an element of S smaller than a, contradicting the assumption that a is the minimum element of S.
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Related Questions
State the domain of the graphed function, using interval notation. The domain is ______
Answers
Answer:
[-10,-2) U (-2,2) U [2, 5) U (5, infinity)
Step-by-step explanation:
p/s: I don't have the infinity symbol on my keyboard but you know what it is. Hope this help
Graph the data in the table
Answers
Simplify 15c−8d0
15
c
−
8
d
0
. Write your answer using only positive exponents.
Answers
Answer:
The expression is simplified to:
15/(c^8)
Step-by-step explanation:
I have attached an image to make the question clearer.
15c^(-8)d^(0).
Using the zero exponent property (a^0 = 1),
d^0 = 1. Therefore we have:
15c^(-8)(1) = 15c^(-8).
Using the negative exponent rule [a^(-r) = 1/(a^r)],
c^(-8) = 1/(c^8). Therefore we have:
15 x 1/(c^8) = 15/(c^8).
Therefore, The expression is simplified to: 15/(c^8).
Two angles form a linear pair. One angle measures
2
x
and the other angle measures
10
x
. Find the measure of the smaller angle.
Answers
Answer:
30 degrees
Step-by-step explanation:
a linear pair adds up to 180 degrees. therefore, you can compose the equation 2x+10x=180
12x=180
x=15
the smaller angle is 2x, so 2 times 15 is 30
Me ayudan a resolver 4/3×-2/5=7/5×-1/2
Answers
Answer:
x = 3/2
Step-by-step explanation:
The equation reads:
\(\frac{4}{3} x-\frac{2}{5} =\frac{7}{5} x-\frac{1}{2}\)
So we start by grouping all terms in x on the right, and all pure numerical terms on the left, and then combine like-terms and solve for x:
\(-\frac{2}{5} +\frac{1}{2} =\frac{7}{5} x-\frac{4}{3} x\\\frac{-4+5}{10} =\frac{21-20}{15} x\\\frac{1}{10}=\frac{1}{15} x\\x=\frac{15}{10} \\x=\frac{3}{2}\)
Help pls!! I’ll give points and brainliest!!!
Answers
2.) The measure of MD is 70
*Steps:
1. > Both equivalent
2. > Both supplementary angles 180-110
For y = 4x - 7, fill in the y-values for the following coordinate pairs: (0,_), (1,(2,_)
Answers
The Solution.
Step 1:
We write out the equation.
\(y=4x-7\)Step 2:
We shall substitute the given values of x into the equation to obtain their corresponding values of y.
\(\begin{gathered} \text{For x=0, we get} \\ y=4(0)-7=-7 \\ \Rightarrow the\text{ first coordinate is (0,-7)} \end{gathered}\)\(\begin{gathered} \text{For x=1},\text{ we get} \\ y=4(1)-7 \\ y=4-7=-3 \\ \Rightarrow the\text{ second coordinate is (1,-3)} \end{gathered}\)\(\begin{gathered} \text{For x=2, we get} \\ y=4(2)-7 \\ y=8-7=1 \\ \Rightarrow the\text{ third coordinate is (2,1)} \end{gathered}\)Step 3:
Presentation of the Answer.
The correct answers are (0,-7) , (1,-3) and (2,1)
What are the intercepts of the graph of
the equation 4y - x = 8
Answers
Answer:
x intercept: (-8,0)
y intercept: (0,2)
You want to calculate the height of a tree in your yard. You stand 25 feet from the base of the tree and with a special instrument, you measure the angle of elevation from where you are on the ground to the top of the tree. You find that the angle of elevation is about 52°. What is the approximate height of the tree?
Answers
Between the horizontal line and the line of sight, an angle called the angle of elevation is created. When the line of sight is upward from the horizontal line, an angle of elevation is created.
What is angle of elevation?The angle of elevation is defined in mathematics as "the angle created between the horizontal line and the line of sight when an observer looks upwards." It's always higher than the spectator, usually at a greater height. Angles of depression are created when a person looks downward, and they are the polar opposite of angles of elevation. While studying heights and distances in trigonometry, it is crucial to understand the angle of elevation and depression. Angle, horizontal line, and line of sight are the three general terms used to describe the angle of elevation.
To calculate the height of a tree using trigonometry, you would use the tangent function. Specifically, you would use the tangent of the angle of elevation (52° in this case) and the distance from the base of the tree to where you are standing (25 feet in this case).
The formula is:
height = distance * tangent(angle of elevation)
So, the height of the tree is approximately:
25 * tangent(52) = 25 * 1.19 = 29.75 feet
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13x – 9x + 20 = 30 + 2
What’s the answer
Answers
Answer:
x=3
Step-by-step explanation:
13x-9x+20=30+2 Add common terms
4x+20=32 Subtract 20 from both sides to get 4x alone
4x=12 Divide by 4 on both sides to get x alone
x=3
Answer:
I belive x=3
Am I right?
3/z= 9/12 what is z equal I need a fraction
Answers
9/3=3
12/3=4 so z=4
What is the solution to the system of equations x+y=10 and x+2y=4 using the linear combination method?
Answers
Answer:
The solution:
X = 16 and Y = -6
Step-by-step explanation:
The equations to be solved are:
x+y = 10 ------- equation 1
x+2y = 4 ----------- equation 2
we can multiply equation 1 by -1 to make the value of x and y negative.
This will give us
-x- y = - 10 ------- equation 3
x+2y = 4 ----------- equation 2
We will now add equations 3 and 2 together so that x will cancel itself out.
this will give us
y = -10 +4 = -6
hence, we have the value of y as -6.
To get the value of x, we can put this value of y into any of the equations above. (I will use equation 1)
x - 6 = 10
from this, we have that x = 4
Therefore, we have our answer as
X = 16 and Y = -6
f(x)=5/8x+5/2 find inverse function
Answers
The inverse function for the function f(x) = 5/8x + 5/2 is found to be 8/5x - 4
what are inverse functions?An inverse function in mathematics is a function that "undoes" another function.
In other words, if f(x) yields y, then y entered into the inverse of f yields the output x. x .
An invertible function is one that has an inverse, and the inverse is represented by the symbol f - 1.
Hence inverse functions like in the problem. the output of f(x) when substituted into the input of g(x) gives same out put
for f(x) = y = 5/8x + 5/2
y = 5/8x + 5/2
y - 5/2 = 5/8x
8/5(y - 5/2) = x
interchanging x and y
y = 8/5(x - 5/2)
y = 8/5x - 4
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d is none of the above , and yes
Answers
Answer:
\( = 2 {}^{2} - 3(2) = - 2 \\ 3 {}^{2} - 3(3) = 0 \\ 4 {}^{2} - 3(4) = 4 \\ 5 {}^{2} - 3(5) = 10\)
I’m not good with these somebody please help me
Answers
Answer:
la c es porque 2+2 4 de nada
In an ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even. (Round your answer to four decimal places.) (b) What is the probability that a subject would guess more than 20 correct in a series of 36 trials?
Answers
The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001
How to find the pobability that a subject would guess more than 20 correct in a series of 36 trialsIn a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.
Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.
The probability of guessing more than 20 correct is:
P(X > 20) = 1 - P(X ≤ 20)
Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).
Therefore: P(X > 20) = 1 - 0.9999 = 0.0001
So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).
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Write an equation of the line that passes through the given point
and is (a) parallel and (b) perpendicular to the given line.
(6,2)
Answers
Answer:
B FS
Step-by-step explanation:
Rewrite the area formula with the info given from the problem then find the value of x , then how many feet of fencing should me Korber buy ?
Answers
Since the triangle is a right isosceles triangle and each leg measures x, its area is given by:
\(A=\frac{1}{2}x^2\)Now, let's use the given area and solve it for x:
\(\begin{gathered} 4232=\frac{1}{2}x^2\\ \\ x^2=8464\\ \\ x=92\text{ ft} \end{gathered}\)Since the "path" already has fence, the amount of fence needed is 2x:
\(2x=2\cdot92=184\text{ ft}\)3. Jenny puts two wooden blocks together. One block has a length of 5 in., a width of 4 in., and a
height of 5 in. The other block has a height of 4 in., a length of 5 in., and a width of 2 in. What is the
combined volume of the blocks?
Answers
Answer:
140 inches cubed
Step-by-step explanation:
Use the formula V = length * width * height to find the volumes of each block, then add them together to get the combined volume. So, (5 * 4 * 5) + (4 * 5 * 2) = 140 inches cubed, which is the combined volume.
Hopefully this helps- let me know if you have any questions!
find the equation of the line that contains The given point and is perpendicular to the given line. Write the equation in slope intercept form, if possible. (21,7); 7x-5y=6
Answers
Answer:
an = 63(-1/3)^(n-1)
Step-by-step explanation:
This is a geometric sequence with first term 63 and common ratio -1/3.
The equation for the nth term is
an = 63(-1/3)^(n-1).
Please evaluate 7/13×8/11
should be in fraction form!
will be marked brailiest
Answers
Answer:
56/143 (\(\frac{56}{143}\))
Answer:56/143
Step-by-step explanation:
In an international film festival, a penal of 11 judges is formed to judge the best film. At last two films FA and FB were considered to be the best where the opinion of judges got divided. Six judges where in favor of FA whereas five in favor of FB. A random sample of five judges was drawn from the panel. Find the probability that out of five judges, three are in favor of film FA.
Answers
Answer:
The answer is "0.4329 ".
Step-by-step explanation:
P( three in favor of FA)
Select 3 out of 6 FA supporters then select 2 out of 5 FB supportive judges
\(=\frac{^{6}_{C_{3}}\times ^{5}_{C_{2}}}{^{11}_{C_{5}}}\\\\=\frac{\frac{6!}{3!(6-3)!}\times \frac{5!}{2!(5-2)!}}{\frac{11!}{5!(11-5)!}}\\\\=\frac{\frac{6!}{3! \times 3!}\times \frac{5!}{2! \times 3!}}{\frac{11!}{5! \times 6!}}\\\\=\frac{\frac{6 \times 5 \times 4 \times 3!}{3 \times 2 \times 1\times 3!}\times \frac{5 \times 4 \times 3!}{2 \times 1 \times 3!}}{\frac{11 \times10 \times 9 \times 8 \times 7 \times 6! }{5 \times 4 \times 3 \times 2 \times 1 \times 6!}}\\\\\)
\(=\frac{ (5 \times 4) \times(5 \times 2)}{(11 \times 3 \times 2 \times 7 )}\\\\=\frac{ 20 \times 10 }{(11 \times 42)}\\\\=\frac{ 200 }{462}\\\\=\frac{100 }{231}\\\\=0.4329\)
2) 45+ 17 = 62
3) X + 5/6 = 7/16
4) Y + 1/7 = 5/8
Answers
9514 1404 393
Answer:
2) true
3) X = -19/48
4) Y = 27/56
Step-by-step explanation:
3) Subtract 5/6 from both sides
X = 7/16 -5/6 = (7·6 -16·5)/(16·6) = (42 -80)/96
X = -19/48
__
4) Subtract 1/7 from both sides
Y = 5/8 -1/7 = (5·7 -8·1)/(8·7)
Y = 27/56
There were 120 planes on an airfield. if 75% of the plane took off for a flight, how many planes took off?
Answers
Answer:
90 planes
Step-by-step explanation:
Take the total number of planes and multiply by the percentage of planes that took off
120 * 75%
120 * .75
90
20 POINTS! HELP!
Which operations can be applied to both sides of the inequality 8 < 10 such that it remains a true statement?
4 ANSWERS!!
Add -4
Divide by 8
Multiply by -2
Subtract -7
Divide by -3
Multiply by 1/2
Answers
Answer:
64 is the answer
Step-by-step explanation:
A commuter plane provides transportation from an international airport to surrounding cities. One commuter plane averaged 260 mph flying to a city and 140 mph returning to the international airport. The total flying time was 4 h. Find the distance between the two airports.
Answers
Answer:
364 miles
Step-by-step explanation:
Rate Time Distance
Flight #1 260 x 260x
Flight #2 140 4-x 140(4-x)
Because each flight was to or from the same airports the distance traveled by flight #1 and flight #2 must be the same. This means that you can set the two calculated distances equal to each other.
260x = 140(4-x)
260x = 560 - 140x
400x = 560
x = 1.4 hours This is the amount of time flight 1 spent in the air.
now we can use this and plug it into the distance formula (260x) to find the distance
260(1.4) = 364
so the distance between the two airports is 364 miles
In the diagram, the parallel lines are cut by transversal BC−→−.If BD−→− bisects ∠ABC and m∠3 = 80, what is m∠ABD?
Answers
The value of m ∠ABD will be;
⇒ ∠ ABD = 50°
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
In the diagram, the parallel lines are cut by transversal BC.
And, BD bisects ∠ABC and m∠3 = 80.
Now,
Since, The parallel lines are cut by transversal BC.
Hence, We get;
⇒ ∠ 3 + ∠ 2 = 180°
⇒ 80° + ∠ 2 = 180°
⇒ ∠ 2 = 180 - 80
⇒ ∠ 2 = 100
And, We have;
⇒ ∠ 2 = ∠ ABC
⇒ ∠ ABC = 100°
Since, BD bisects ∠ABC.
Hence, We get;
⇒ ∠ ABD = 100 / 2
⇒ ∠ ABD = 50°
Thus, The value of m ∠ABD = 50°
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PLEASE I NEED HELP the question is,
In the diagram of triangle LAC and triangle DNC below, LA = DN, CA = CN, and DAC is perpendicular to LCN.
a) Prove that triangle LAC = triangle DNC.
b) Describe a sequence of rigid motions that will map triangle LAC onto triangle DNC.
Answers
Answer:
1244 DCD
Step-by-step explanation:
raul wants to know if reading a book or watching a movie has a lower cost per minute the book Costs $15 and takes Raul 200 minutes to read the movie costs 14 and takes Raul 2 hours and 39 minutes to watch does the book or the movie have a lower cost per minute
Answers
The book has a lower cost per minute than the movie.
To find the cost per minute of the book, we divide the cost by the number of minutes:
cost per minute of book = $15 / 200 minutes = $0.075 per minute
To find the cost per minute of the movie, we need to convert the time to minutes.
2 hours and 39 minutes is equal to:
2 hours x 60 minutes/hour = 120 minutes
39 minutes = 39 minutes
Total minutes = 120 + 39 = 159 minutes
cost per minute of movie = $14 / 159 minutes = $0.088 per minute
Therefore, the book has a lower cost per minute than the movie.
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Find the third iterate x3 of f(x) = 2x + 3
for an initial value of x0 = 2
a. 7
b. 15
c. 17
d. 37
Answers
For the function f(x) = 2x + 3 the third iterate x₃ is 37
To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,
we can apply the function repeatedly.
Starting with x₀ = 2:
x₁ = f(x₀)
= 2(2) + 3
= 7
x₂ = f(x₁)
= 2(7) + 3 = 17
x₃ = f(x₂)
= 2(17) + 3
= 37
Therefore, the third iterate x₃ is 37.
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