Complement of A set in roster form will be {14,15,20}.
U = { 14, 15, 16, 17, 18, 19, 20 },
A = { 16, 17, 18, 19 }.
A'= {14,15,20}
A set is mathematically represented in a straightforward way using roster notation. The elements (or members) of a set are listed in a row inside the curly brackets in the roster form. If the set contains more than one element, a comma is used in a roster notation to indicate the separation of every two elements. A list of the elements of a set, each separated by a comma, enclosed in a set of curly brackets, can be used to describe the contents of the set. Roster form is the term for this method of setting forth a set.
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-5x – 16 = 9x + x – 1
-5x – 16 = 8x – 1
-16 = 13x – 1
-15 = 13x
x = -
15
13
The mistake was.....
The correct answer is x =
Answer:
–1
Step-by-step explanation:
—Math–5x –16 = 9x + x –1
–5x – 16 = 10x –1
–5x –10x = –1 + 16
–15x = 15
x = 15/–15
follow my account ^^
x = –1
10 POINTS Solve for x:
2x-7=5x+13
x = -20/3
x = -7
x = 22/3
please. i’m begging you
Which set of ordered pairs represents a function?
A) { (-4,-6) (-4,2) (4,-1) (2,9)}
OB) { (-5,2) (-9,-2) (-5,6) (0,2)}
C) {(6,1) (10,8) (8,-5) (0,-9) }
OD) {(1,0) (-3,-6) (6,3) (-3,0) }
Answer:
Correct answer is C because 1 input has only 1 output.
Mark to review later...
9. David is shopping for work supplies; he purchases 3 binders, 5 pens, and 2 reams of paper. The binders cost $3.50 each; the pens cost $1.15 each; and the reams of paper cost $4.00 each. The sales tax for his purchase is 7.75%. Which of the following is closest to the total cost of David’s purchase?
Sale tax of 3 binders is closest to the david total purchase.
As per the given question
Binders=3Pen=5
Reams=2
Binder cost $3.50 each
Pen cost $1.15 each
Paper cost $4.00 each
Tax =7.75%
Let's solve it
3 binder =3×$3.50=10.5
5 pen = 5×$1.15=5.75
2 reams =2×4.00=8
Total cost before tax = 10.5+5.75+8=24.25
Total sale tax =24.25×7.75%=1.879375
Total purchase after sale tax =24.25+1.879375=26.129375
As we calculate 3 binder=10.5
This is the closest to it.
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Help I’m on a timer.
Answer:
Step-by-step explanation:
1 and -1 I think sorry if it’s wrong can I get brainiest
Answer:
it is the infinitely many solutions
Suppose there is an urn containing 20 green balls and 30 red balls. A single trial consists of drawing a ball randomly from the urn, recording its color, and then putting it back in the urn. The experiment consists of 4 independent trials
The probability that the second ball is red is 11/25 .
IN THE EVENT OF SELECTING THE FIRST BALL
- The probability of selecting white ball is P(W) = 2/5
- Probability of selecting red ball is P(R) = 3/5
IN THE EVENT OF SELECTING THE SECOND BALL
P(R|W) = 1/2
P(R|R) = 3/5
So the probability of selecting a red ball as the second is
P(R2) = P(R|W)P(W) + P(R|R)P(R)
= (1/2)(2/5) + (2/5)(3/5)
= 1/5 + 6/25
= 11/25
What is probability?The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.
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2. Which set below is the domain of
{(2, -3), (-1,0), (0, 4), (-1, 5), (4, -2)}?
F-3, 0, 4, 5, -2}
H {2, -1,4}
G-3, 4, 5, -2}
D {2, -1, 0, 4}
Answer:
D
Step-by-step explanation:
the domain is the interval or set of all valid x values.
the range is then the interval or set of all valid y values.
so, the x values are
2, -1, 0, -1, 4
and the set eliminates any multiple appearances of a value.
so, we get
{2, -1, 0, 4}
What are the advantages and disadvantages of each representation for finding patterns and making predictions?
Answer:
The advantages & disadvantages of tables,graphs and words have been explained below.
Step-by-step explanation:
The 3 major representation for finding patterns and making predictions are;
1.Tables
2. Graphs
3. Words
This means we want to find the advantages and disadvantages of using tables, graphs and words for finding patterns and making predictions.
1) Tables: Advantage is that we will be able to directly see the exact effect of the input variable on the output. While the disadvantage is that it's very difficult to see patterns.
2) Graphs: Advantage is that we can easily see the pattern of the representation. However the disadvantage is that we can't see the exact values arising from the effect of the input variable on the output.
3) Words: The advantage is that we can describe the data values in clear terms. However, the disadvantage is that we can't get exact values from just the words.
Solve 14−2x=28 using the replacement set {−21, −7, 7} .
A. −21
B. −7
C. 7
D. I don't know.
Answer:
B
Step-by-step explanation:
substitute the values from the replacement set into the left side of the equation to find which values of x make it true.
x = - 21
14 - 2(- 21) = 14 + 42 = 56 ≠ 28 ← False
x = - 7
14 - 2(- 7) = 14 + 14 = 28 ← True
x = 7
14 - 2(7) = 14 - 14 = 0 ≠ 28 ← False
Thus x = - 7 is the solution
Answer: the answerd is B
explanation: i take the Test A in k12
7/8 multiplied by 4/5
Samuel's heart rate is 66 beats per minute. If this is his average heart rate, how
many times will it beat in 27 years? *
12
Answer:
28098576000
Step-by-step explanation:
Opal plots point D at (Negative 3 and one-half, one-half). Which graph shows the location of point D? On a coordinate plane, point D is 3 .5 units to the right and 0.5 units up. On a coordinate plane, point D is 3.5 units to the left and 0.5 units up. On a coordinate plane, point D is 0.5 units to the right and 3.5 units down. On a coordinate plane, point D is 0.5 units to the left and 3.5 units up.
Answer:
b
Step-by-step explanation:
Answer:
The answer is BStep-by-step explanation:
please give me brainliest :DWhich of the following statements must be true based on the diagram below? Select all that apply. (Diagram is not to scale.)
ASAPPPPP
The statements that must be true based on the diagram below are:
LM is a segment bisectorLM is a perpendicular bisectorL is a midpoint in the diagramM is a midpoint in the diagramHow to determine which of the following statements must be true based on the diagram below?From the diagram, segments that have the same mark are congruent segments
This means that:
Segments KL and HL are congruent segments
So, we have:
LM is a segment bisector
Also, because the angle at point L is a right-angle
LM is a perpendicular bisector and L is a midpoint in the diagram
Lastly, point M is a midpoint in the diagram
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True Or False Questions
1. All Isoceles Triangles have at least two acute angles
2. If the perimeter of an equilateral triangle is P, then the length of each of the sides is P/3.
3. All isosceles triangles are equilateral triangles.
4. If you know the length of one of the legs of an isosceles triangle, you can determine it’s perimeter
5. The exterior angle of an equilateral triangle is obtuse
Answer:
Step-by-step explanation:
TRUE
All isosceles triangles have at least 2 acute angles due to 2 sides are equal.
The exterior angle of an equilateral triangle is obtuse.
If the perimeter of an equilateral triangle is P, then the length of each of the sides is P/3.
FALSE
All isosceles triangles are equilateral triangles.
If you know the length of one of the legs of an isosceles triangle, you can determine it’s the perimeter
The true and false statements need to be identified.
1. true
2. true
3. false
4. false
5. true
In an isosceles triangle two angles are equal.
Let the equal angle be [tex]x[/tex] and the other angle be [tex]y[/tex]
The sum of angles is [tex]180^{\circ}[/tex]
[tex]x+x+y=180\\\Rightarrow y=180-2x[/tex]
Now the value of [tex]x[/tex] cannot be [tex]90^{\circ}[/tex] or greater because
[tex]y=180-2\times 90=0[/tex]
[tex]x[/tex] has to be less than [tex]90^{\circ}[/tex].
The two equal angles must always be acute.
So, the statement is true.
If the side of an equilateral triangle is [tex]\dfrac{P}{3}[/tex]
Perimeter will be
[tex]\dfrac{P}{3}+\dfrac{P}{3}+\dfrac{P}{3}=P[/tex]
The statement is true.
An isosceles triangle that has the legs equal and also the base equal is called an equilateral triangle.
In an isosceles triangle the base may not be equal to the other two sides.
The statement is false.
Let [tex]x=1\ \text{unit}[/tex] be the length of the equal sides and [tex]y[/tex] the length of the other side
Permiter is
[tex]P=x+x+y\\\Rightarrow P=2x+y\\\Rightarrow P=2\times 1+y=2+y[/tex]
Since, the other side is not know the perimeter cannot be found.
The statement is false.
In an equilateral triangle all angles are [tex]60^{\circ}[/tex]
Exterior angle is found by subtracting the interior angle from [tex]180^{\circ}[/tex]
So, for an equilateral triangle the exterior angles will always be [tex]180-60=120^{\circ}[/tex]
The angles is greater than [tex]90^{\circ}[/tex] always.
The statement is true.
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Need help solving for X
♡ Answer ♡
12°
♡ Step-by-step explanation ♡
For this problem, we must find the value of x. In order to do this, there are a few simple steps we must follow.
However, before we begin, there is one important fact we should remember. As we know, there are 180 degrees in a triangle. This means that our total is 180°.
Our first step towards completing this problem is to subtract the amount of degrees we know from the total. In the picture, we can clearly tell that the degrees that are not attached to a variable are 27° and 9°. So, we can easily subtract those from 180°. 27° + 9° = 36°. 180°- 36° = 144°. This means that the remaining value we have left to work with, when incorporating that attached to x, is 144°.
The next step towards completing this question is to add the values of the numbers attached to x. In this case, the remaining values are 5x° and 7x°. The numbers attached to the variable x are 5 and 7. These are the two numbers we must combine to find the answer. 5 + 7 = 12. So, the total value of the numbers attached to x is 12.
This final step is directly connected to the last one. To find the value of x, we must divide 144° by 12. This is because the total degrees of the triangle that are directly connected to x are 144°, and the total values of the numbers directly attached to x are 12. Therefore, by dividing 144° by 12, the answer will be the value of x. 144° ÷ 12 = 12°. So, x is 12°.
Furthermore, there is actually a way to check to see that x is actually 12°. This strategy is by substituting x for 12°. To do this, I must multiply 5° by 12° (for 5x°) and 7° by 12° (for 7x). 5° * 12° equals 60°. 7° * 12° is 84°. 60° + 84° = 144°. Now, we must add the remaining values: 9° and 27°. 9° + 27° = 36°. 36° + 144° = 180°. If you remember, there are 180° in a triangle. 180° = 180°. This proves that the answer is indeed 12°
A/N (Author's Note): I hope this helps those that have found their way to this page! I tried to explain the process in sequential order so that it is easier to comprehend. Thanks for taking time out of your day to read my answer. Have a marvelous week! <3
Which is not proportional to 3/7?
6/14
12/28
0.3/0.7
9/28
Answer:
9/28
Step-by-step explanation:
3*3 = 9
7*3 = 21 not 28
hence, this fraction isn't proportional
Is this a cheating app or helping other people
Answer:
Helping other people they delete all your points and answers if u "cheat" :/
Hi what is 50.4 ➗ 2.4 any smart people here.
Answer:
21
Step-by-step explanation:
Answer:
The answer is 21! (Use long division)
what is an example of equasions when you are given the constant of poportionality
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. In our tomato example, that ratio is $3.00/2, which equals $1.50. Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
:)
What is the solution of the system
3x + 2y =18
Y= -2/3x + 12
Answer:
3x + 2y =18
Y= -2/3x + 12
3x + 2(-2/3x+12) = 18
3x + (-4/3x+24) = 18
3x + -1 1/3x +24 =18
1 2/3x +24 = 18
1 2/3x = -6
5/3x = -6
x = -3.75
Step-by-step explanation:
3x = 18-2y
x= 6 - 2/3y
then substitute in the second equation
Y= -2/3x + 12
y=-2/3(6-2/3y)+12
y= 72/5
then substitute y= 72/5 in the first equation x= 6 - 2/3y
then x = -18/5
A machine produces 4500 parts in an 8 hour day. In minutes, how long will it take to produce 100 parts?
Answer:
45mins
Step-by-step explanation:
The time required to produce 100 parts will be 10 minutes.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a machine produces 4500 parts in an 8-hour day. The time will be calculated as below:-
4500 parts = 8 hours
100 parts = 8 / 45 hours
100 parts = ( 8 x 60 ) 45 minutes
100 parts = 10 minutes
Therefore, the time required to produce 100 parts will be 10 minutes.
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The diagram shows a line 13cm long.
Work out the value of a.
Hello I need help please
Suppose that two motorboats leave the same point at the same time. If one travels north at 15 miles per hour and the other travels east at 20 miles per hour, how fast will the distance between them be changing after 2 hours? Draw a diagram to model the situation.
Answer:
I believe it would be 70 miles between them.
the maximum walking speed S, in feet per second of an animal can be modeled by the equation S=the square root gL where g=32ft/sec and L is the length ,in feet, of the animal's leg.To the nearest hundredth how many greater is the maximum walking speed of giraffe with a leg length of 6 feet than a hipppotamus with a leg length of 3 feet.
The maximum walking speed of the Giraffe is 1.41 times greater than the maximum walking speed of the Hippopotamus
Calculating Maximum speedFrom the question, we are to determine how much greater the maximum walking speed of Giraffe is to that of Hippopotamus
From the give information,
The maximum walking speed, S, is given by
S = √gL
Where g = 32ft/sec
and L is the length of the animal's leg
Thus,
For a Giraffe with a leg length of 6 feet
S = √32×6
S = √192
S = 13.856 ft/sec
For a Hippopotamus with a leg length of 3 feet
S = √32×3
S = √96
S = 9.798 ft/sec
Now, we will determine how many times greater 13.856 is than 9.798
13.856/9.798 = 1.41
Hence, the maximum walking speed of the Giraffe is 1.41 times greater than the maximum walking speed of the Hippopotamus
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A full grown grizzly bear eats 60.5 pounds of fruits and vegetables each day. However, the zoo can only buy fruits and vegetables by the ounce. How many ounces of fruits and vegetables does the zoo need to buy for the bear each day? when converting _________ to _______, i need to __________. solve the problem:
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
The expression on the left side of an equation is shown below.
Negative 4 (x minus 2) + 5 x = box
If the equation has no solution, which expression can be written in the box on the other side of the equation?
Answer:
9x-9
Step-by-step explanation:
the expression on the left simplifes to be 9x-8 so anything other than that will not produce a solution
examples: 9x+1, -9x-8, 10x+3, 12x . . .
Answer:d
Step-by-step explanation:
x2 - 81 = 0
What is x2
Answer:
x = 9 and -9
Step-by-step explanation:
[tex]x^{2}[/tex] -81 = x add 81 to both sides of the equation
[tex]x^{2}[/tex] = 81 What number times itself equals 81? 9 and -9
Answer: + 9
Step-by-step explanation: add 81 to both sides to isolate x^2. we get x^2= 81. take the square root of both sides. the square root of x^2 is x and square root of 81 is 9 or -9. so x = 9 and -9.
Find 0.8% of 1,046
ddddddddddddddddddddddddddddddddddddddd
0.8/100 * 1046
=8.368
Answer:
8.368
Step-by-step explanation:
True or False
The farther the 2-statistic is from 0, the more the null hypothesis is discredited.
Answer:
it is true
Step-by-step explanation:
A test statistic compares our observed outcome to the alternative hypothesis. If the null hypothesis is true, then the teststatistic will be close to 0. Therefore, the farther the test statistic is from 0, the more the null hypothesis is discredited.