![What Is The Meaning Of "[tex]ran(R)=\left \{ V:\exists U(u,v) \in R\right \}[/tex]"?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/Tl6w7koqZYEbM8Gm8p78EE0BUt9o53LE.png)
Answers
The meaning of ran R = { v : there exist u, (u, v) ∈ R} is,
⇒ Defined as v, there exist u such that an order pair (u, v) is belon in relation R
We have to given that;
The meaning of,
⇒ ran R = { v : there exist u, (u, v) ∈ R}
Since, WE know that;
''ran R'' is stand for range of relation R.
Which is defined as,
⇒ ran R = { v : there exist u, (u, v) ∈ R}
That's mean,
Let us defined as v, there exist u such that an order pair (u, v) is belon in relation R.
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Related Questions
Please answer! These r my last questions
Answers
Answer:
8. -2a+14
9. w=3/2
Step-by-step explanation:
8.
The distributive property states that we can multiply each component in the parenthesis separately by the number on the outside, and then add that up to get our final answer.
For -2(a-7), this means that we can multiply -2 by a and then -2 by -7 (as 2 is the number on the outside, and a and -7 are the components in the parenthesis), add them up, and get our answer. This can be expressed as
-2 * a + (-2) * (-7) = final answer
= -2 * a + 14
We know that -2 * -7 = 14 because 2 * 7 = 14, and the two negatives in multiplication cancel each other out
9.
Using the subtraction property of equality, we can isolate the variable (w) and its coefficient (-2/3) by subtracting 5, resulting in
(-2/3)w = 4-5 = -1
Next, we can use the multiplication property of equality to isolate the w. To isolate the w, we can multiply its coefficient by its reciprocal. The reciprocal is the fraction flipped over. For (-2/3), its reciprocal is (-3/2), flipping the 2 and 3. We can multiply both sides by (-3/2) to get
w = (-3/2)
To check this, we can plug (-3/2) for w in our original equation, so
(-2/3) * (-3/2) + 5 = 4
-1 + 5 = 4
4 = 4
This works!
Una sala de cine de New York vende las entradas para niños a 3 dólares y las de los adultos a 5 dólares. Si para ver una película pueden ingresar tanto niños como adultos y en un día
ingresan 345 espectadores, recaudando por concepto de venta de boletas 1365 dólares. Se
puede afirmar que el número de niños y adultos que ingresaron fue:
Answers
A la sala de cine ingresaron 180 niños y 165 adultos.
¿Cuántos niños y adultos ingresaron a una sala de cine?
De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:
3 · x + 5 · (345 - x) = 1365
Donde x es el número de niños que asistieron a la sala de cine.
Ahora despejamos la variable correspondiente mediante propiedades algebraicas:
3 · x + 1725 - 5 · x = 1365
1725 - 2 · x = 1365
2 · x = 1725 - 1365
2 · x = 360
x = 180
Ahora, el número de adultos es:
y = 345 - 180
y = 165
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particle travels from(-1/3 ,1, -2) to(9,9,6) . Its motion is described by the position function r(t)=(t^3/3, t^2,2t).
a) Find the distance the particle travels along the path, its average speed, and its
displacement [the distance it could have traveled if in a straight line].
b) List a detailed snapshot of the T,N,B frame for this particle at the halfway point (by
time) including curvature and torsion.
Answers
The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.
To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.
The velocity vector is the derivative of the position function r(t):
\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)
\(= (t^2, 2t, 2)\)
The speed of the particle at any given time t is:
|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)
= √(t^4 + 4t^2 + 4)
= √((t^2 + 2)^2)
To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.
distance = ∫[from -1/3 to 9] |v(t)| dt
= ∫[from -1/3 to 9] |t^2 + 2| dt
= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt
= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)
Evaluating the definite integrals:
distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]
= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]
= [1/27 + 2/3] + [729/3 + 18]
= 1/27 + 2/3 + 729/3 + 18
= 1/27 + 18/27 + 729/3 + 18
= (1 + 18 + 729)/27 + 18
= 748/27 + 18
= 27.63 + 18
= 45.63 units (approximately)
Therefore, the particle travels approximately 45.63 units along the path.
To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.
average speed = distance / time
= 45.63 / (28/3)
= 45.63 * (3/28)
= 4.9179 units per unit time (approximately)
The displacement is the straight-line distance between the initial and final positions of the particle.
displacement = |r(9) - r(-1/3)|
= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|
= |(27, 81, 18) - (-1/27, 1/9, -2/3)|
= |(27 + 1/27, 81
= 2781.
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Which values of a, b, and c correctly represent the answer in simplest form? 6 al- o a=1,0-5,0-9 a= 10,5= 18.0= 1 a=9,0-5,0- 1 a= 1,5= 10 0= 18
Answers
Answer:
The question is not explained well, Please explain it better or take a screenshot or something
Step-by-step explanation:
A
-2+
Which graph represents the
function y = tan x?
B
2T
2T
D
-2+1
21
4+
ㅠ
2T
2πT
Answers
The graph that represents the function y= tanx is Option A.
What is the description of the above function?The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.
It oscillates between positive and negative infinity, creating a wave- like pattern.
It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.
Thus, option A is the correct answer.
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44+ 7/8r when r = -1/2
Answers
\(44+\cfrac{7}{8}r\implies 44+\cfrac{7}{8}\left( -\cfrac{1}{2} \right)\implies 44-\cfrac{7}{16}\implies \cfrac{(16)44~~ - ~~(1)7}{\underset{\textit{we'll use this LCD}}{16}} \\\\\\ \cfrac{704~~ - ~~7}{16}\implies \cfrac{697}{16}\implies 43\frac{9}{16}\)
evaluate cos(sin^-1 x0)
Answers
Answer:
Pull terms out from under the radical, assuming positive real numbers.
0
Step-by-step explanation:
Help again lol I’ll give you brainliest
Answers
Answer:
8
Step-by-step explanation
All you have to do is how many times it goes up. it goes up 8 times so 8 is your answer
Answer:
21
Step-by-step explanation:
you put all those numbers in in order from least to greatest then you get the smaller number and the biggest number -then you subtract them and you have your answer lollll
46 - 25 = 21
2. Write as a complex number.
Answers
Answer:
Your answer is correct ✔️
Step-by-step explanation:
Hope this is correct and helpful
HAVE A GOOD DAY!
Answer:
2√3 + 3i is the answer
Step-by-step explanation:
A new concert venue just opened in downtown Houston and they are in the process
of deciding how many tickets they can sell for each show. The venue has three levels,
two general admission that only have standing room, and one level with 150 seats.
The venue thinks each person will occupy 2.25 ft.
.
• The first level of standing room is a square with one side measuring 75ft.
The second level, also standing room, is a rectangle measuring 100' by 50' ft.
. The third level has 150 seats.
How many tickets can they sell for the first level?
Answers
Answer:
2500
Step-by-step explanation:
Dimensions of first level
Length = Breadth = 75 ft (since it is a square)
It is assumed that a person will occupy \(2.25\ \text{ft}^2\)
Area of first level
\(75\times 75=5625\ \text{ft}^2\)
When the area of the level is divided by the area of one person then we will get the number of people that can occupy the room or the number of tickets that can be sold.
\(\dfrac{5625}{2.25}=2500\)
The number of tickets that can be sold for the first level is 2500.
a sprinkler swings back and forth between A and B in such a way that <1 <2,<1 and <3are complementary, and <2and <4 are complementary if m<1=4.75°,find m<2,m<3 and m<4 the measure of <2 is the measure of <3is the measure of <4 is
Answers
Given data:
The measure of the first angle is m∠1=47.5°.
The expression for the angle 2 is,
\(\begin{gathered} m\angle2=m\angle1 \\ m\angle2=47.5^{\circ} \end{gathered}\)The expression for the complementary angle is,
\(\begin{gathered} m\angle1+m\angle3=90^{\circ} \\ 47.5^{\circ}+m\angle3=90^{\circ} \\ m\angle3=42.5^{\circ} \end{gathered}\)The expression for the second pair of the complementary angle is,
\(\begin{gathered} m\angle2+m\angle4=90^{\circ} \\ 47.5^{\circ}+m\angle4=90^{\circ} \\ m\angle4=42.5^{\circ} \end{gathered}\)Thus, the value of m∠2=47.5°, the value of m∠3=42.5°, and the value of m∠4=42.5°.
I need the answer please
Answers
Answer:ok
Step-by-step explanation:
ol
The length of a rectangle is 2 cm longer than its width.
If the perimeter of the rectangle is 44 cm, find its area.
Answers
Answer:
perimeter = 2(b x L)
p° 2(2+20)
= 22X2 =44cm
area = B x W
a = 20x 2 =40 cm²
what is the mode for the data set
x
x x x
x x x x x x
_______ __
5 6 7 8 9 10 options 7.8
5
8
9
Answers
Answer:
5
Step-by-step explanation:
The mode of a data set is the number that appears most
1. Dilate about the origin using a scale factor of 2.
A (5.5, 4.5) B (6, 2) C (3.5, 1.5) D (3,4)
Post Image Coordinates: A’______B’______ C’_______ D’______
2) Dilate about the origin using a scale factor of 1 1/3
A (1 1/2, 12) B (-3, 6) C (-9, 9)
Post Image Coordinates: A’ ____ B’ ____ C’ _____
Answers
If it dilated by a factor of 2, we will multiply the coordinates by 2 to have:
A'(11, 9) B (12, 4) C (7, 3) D (6,8)
If the coordinate points A (1 1/2, 12) B (-3, 6) C (-9, 9) is dilated by a factor of 1 1/3, the resulting coordinates will be A'(3, 16) B'(-4, 8) C'(-12, 12)
Dilations and scale factorsDilations is a transformation technique used to enlarge or diminish an image.
Given the coordinate points A (5.5, 4.5) B (6, 2) C (3.5, 1.5) D (3,4), it dilated by a factor of 2, we will multiply the coordinates by 2 to have:
A'(11, 9) B (12, 4) C (7, 3) D (6,8)
Similarly if the coordinate points A (1 1/2, 12) B (-3, 6) C (-9, 9) is dilated by a factor of 1 1/3, the resulting coordinates will be A'(3, 16) B'(-4, 8) C'(-12, 12)
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pls right answer worth 100 points and brainlest
Answers
Answer: 204 ft
Step-by-step explanation: First lets find the area of the triangle, the formula for area of a triangle is base times height divided by 2. Now the height isn't given but we can find it by subtracting 18 by 10 which gives us 8. 8 times 6 is 48 divided by 2 is 24. Therefore, the area of the triangle is 24 ft. Now we find the area of the rectangle which is length times width. 18 times 10 is 180. Now we add the area of both shapes, 180 plus 24 is 204, so your answer is 204 ft.
Answer:
Step-by-step explanation:
Melissa and Joey enjoyed dinner at a restaurant. They paid the waiter $100.50 plus a 20% tip. How much did each person pay if they split the total bill in half?
A.
$60.30
B.
$70.00
C.
$75.10
D.
$100.10
Plz help and don’t give me a wrong answer cause it’s just being rude
Answers
Answer:
$60.30
Step-by-step explanation:
$100.50 x 1.20 = $120.60
$120.60 divided by 2 = $60.30
Who's excited for Christmas?!?! :D
if not why?
Answers
Answer:
me
Step-by-step explanation:
The histogram shows the result of a survey about the number of hours students watch television on the weekend.
How many students participated in the survey?
Answers
The number of students who participated in the survey, based on the histogram showing the number of hours students watch television on the weekend, is 125.
What is a histogram?A histogram is a pictorial or graphical representation of categorical data, proportional to the frequency of a variable and whose width is equal to the class interval.
The number of students who watched between 0 - 4 hours = 20
The number of students who watched between 5 - 9 hours = 40
The number of students who watched between 10 - 14 hours = 30
The number of students who watched between 15 - 19 hours = 20
The number of students who watched between 20 - 24 hours = 15
The total number of students who participated = 125
Thus, using the histogram, the total number of students who participated in the survey was 125.
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The IQ scores and science test scores of fourth grade students is given by the line of best fit ŷ = −20.3 + 0.7489s, where ŷ is the predicted science score and s is the IQ score. An actual science test score for a student is 52.6 with an IQ of 100.
Find and interpret the residual.
−1.99; The line of best fit underpredicts the student's science test score.
1.99; The line of best fit overpredicts the student's science test score.
1.99; The line of best fit underpredicts the student's science test score.
−1.99; The line of best fit overpredicts the student's science test score.
Answers
-19.99; The line of best fit underpredicts the student's science test score.
So correct option is A.
What do you mean by prediction?A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.
The predicted science score for the student with IQ 100 can be calculated using the line of best fit:
ŷ = −20.3 + 0.7489 * 100 = 71.59
The residual is the difference between the actual science test score and the predicted science score:
residual = actual score - predicted score = 52.6 - 71.59 = -19.99
So the line of best fit underpredicts the student's science test score by 19.99 points.
Therefore, the residual is:
-19.99; The line of best fit underpredicts the student's science test score.
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To find the distance AB across a river, a distance BC=290 is laid off on one side of the river. It is found that B=117degrees and C=24degrees. Find AB.
Answers
The value of distance AB is 187.5 units
What is sine rule?Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other.
sine rule can be expressed as;
a/sinA = b/sinB = c/sinC
The opposite side to angle A is BC
the opposite side to angle C is AB
therefore;
A = 180-( 117 +24)
A = 180- 141
A = 39°
290/sin 39 = x/ sin24
xsin39 = 290 × sin24
0.629x = 117.95
x = 117.95/0.629
x = 187.5
therefore the distance AB is 187.5
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The product of a number and 3 less than the number is 40. Find the number.
Answers
By solving a quadratic equation we will see that the number can be:
8 or -5.
How to find the number?The product of a number N, and 3 less than the number, is equal to 40.
This is written as:
\(N*(N - 3) = 40\)
Now we need to solve this for N.
\(N^2 - 3N = 40\)
\(N^2 - 3N - 40 = 0\)
Then we need to solve this quadratic equation:
\(N = \frac{-(-3) \pm \sqrt{(-3)^2 - 4*1*(-40)} }{2} \\\\N = \frac{3 \pm 13 }{2}\)
Then we have two solutions:
N = (3 - 13)/2 = -5N = (3 + 13)/2 = 8These are the two possible solutions.
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Please help me with this 2
Answers
The correct statements that are correct with regards to the angles formed between parallel lines and a common transversal are as follows;
29. The statements that are enough to conclude that m║n are;
a. ∠6 ≅ ∠3
b. ∠1 ≅ ∠7 are supplementary
30. The true statement with regards to the angle formed by parallel lines are;
a. The value of x is 41
c. ∠2 ≅ ∠3 by the Vertical Angles Congruency Theorem
What are the angles formed between parallel lines?29. The statements that are enough to conclude that m ║ n are given by the properties of angles formed by parallel lines that have a common transversal as follows;
Alternate interior angles are congruentCorresponding angles are congruentSame side interior angles are supplementaryVertical angles are congruentAlternate exterior angles are congruentSame side exterior angles are supplementarya. Given that ∠6 and ∠3 are alternate interior angles, we have;
if m ║ n, then ∠6 ≅ ∠3b. ∠1 and ∠6 are vertical angles, then ∠1 ≅ ∠6
Therefore, by the definition of congruency, ∠1 = ∠6
∠6 and ∠7 are same side interior angles, therefore if m ║ n, we have;
∠6 and ∠7 are supplementary
Which gives; ∠6 + ∠7 = 180°
Buy the substitution property of equality, we have; ∠1 + ∠7 = 180°
Which gives that if m ║n, then ∠1 and ∠7 will be supplementary30. The given information from the question are; a║b, a║c, a║d, b║c, b║d, c║d
The 139° angle is a vertical angle to the ∠a
Therefore, ∠a = 139°
∠a and ∠8 are corresponding angles, therefore, ∠8 = ∠a = 139°
∠8 = 139°
x° and angle 8 are same side interior angles, therefore;
x° and angle 8 are supplementary angles, which gives;
x° + 8 = 180°
x° + 139° = 180°
x° = 180° - 139° = 41°
The statement, The value of x is 41° is trueb. Given that a║d, we have; x° + y° = 90°
y° = 90° - x°
Which gives; y° = 90° - 41° = 49°
Therefore, the statement, the value of y is 20 is not true, given that a║d
c. ∠2 and ∠3 are vertical angles, therefore, ∠2 ≅ ∠3
The statement ∠2 ≅ ∠3 by Vertical Angles Theorem is therefore true.Learn more about the angles formed between parallel lines that have a common transversal here:
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Helpppppp meeee if you know precal
Answers
Step-by-step explanation:
LHS= csc^2 θ . tan^2 θ - 1
= (1/Sin^2 θ). (Sin^2 θ / cos^2 θ) - 1
= 1/cos^2 θ - 1
= (1 - cos^2 θ) / cos^2 θ
= sin^2 θ / cos^2 θ
= tan^2 θ
= RHS
Hence proved
Divide.(15x² +11 x² + 22x+16) = (5x+2)Your answer should give the quotient and the remainder.
Answers
We must compute the following quotient:
\(\frac{15x^3+11x^2+22x+16}{5x+2}\text{.}\)1) First we divide numerator and denominator by 5:
\(undefined\)2)
Can someone help me please
Answers
Step-by-step explanation: the awnser is 70 because 69 and 71 is in the outside of 70 therefore it's 70 there u go
help
What are the solutions to the following system of equations? y = x2 + 8x + 12 3x + y = −6
Answers
The solutions for the given system of equations are (-9, 33) and(-2, 12).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=x²+8x+12 -----(i) and 3x+y=-6 -----(ii).
Here, y=-6-3x in the equation (i), we get
-6-3x=x²+8x+12
x²+8x+12+6+3x=0
x²+11x+18=0
Splitting middle term method, we get
x²+9x+2x+18=0
x(x+9)+2(x+9)=0
(x+9)(x+2)=0
x=-9 or x=-2
Substitute x=-9 in the equation (ii), we get
y=-6-3(-9)
y=33
Substitute x=-2 in the equation (ii), we get
y=-6-3(-2)
y=12
So, solutions are (-9, 33) and(-2, 12)
Therefore, the solutions for the given system of equations are (-9, 33) and(-2, 12).
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A password with 6 characters is randomly selected from the 26 letters of the alphabet.
What is the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent?
Answers
We can see here that the probability that the password does not have repeated letters, expressed to the nearest tenth of a percent is = 9.8%.
What is probability?Probability is a measure of how likely an event is to happen. It is expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain.
The probability of an event can be calculated using the following formula:
Probability = Favorable Outcomes / Total Outcomes
The number of possible passwords is:
26 × 26 × 26 × 26 × 26 × 26 = 308,915,776.
The number of passwords with no repeated letters is
26P6 = 30,260,000.
The probability of a password having no repeated letters is
= 30,260,000 / 308,915,776 = 0.09779 = 9.78%.
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Which is the same function as -3x + 7 = y?
A) f(x) = -3x + 7
B) f(-3x) = 7
C) f(7) = -3x
D) f(x) = -3 + 7
Answers
The solution is: A) f(x) = -3x + 7 is the same function as -3x + 7 = y.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
the function is: -3x + 7 = y
now, we have to find the same function as -3x + 7 = y.
now, let, the function is represented by f(x)
so, we have,
y = f(x)
so, we get,
f(x) = y = -3x + 7
we get,
f(x) = -3x + 7
so, f(x) = -3x + 7 is the same function as -3x + 7 = y.
Hence, A) f(x) = -3x + 7 is the same function as -3x + 7 = y.
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Factor 6x + 36y using the GCF.
Answers
Answer:6
Step-by-step explanation:
Factorized form of 6x + 36y is 6(x + 6y)
What is factorization?Factorization can be defined as the process of breaking down a number into smaller numbers which when multiplied together arrive at the original number. These numbers are broken down into factors or divisors.
For example, 12 can be broken down as 3 × 4 and these two numbers are called factors.
Given expression
6x + 36y
It can be written as
6x + 6 . 6y
Factoring out GCF = 6
6 (x + 6y)
Hence, 6 (x + 6y) is the factorized form of 6x + 36y.
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