Let A = {a, b, d, f, g} and B be a sets in the universe U = {letters of the alphabet}. If A ∩ B = {b, d}, which could be a set of B?
(steps to solve problem too please?)
Answers
Set B must contain the elements {b, d}, which are present in its intersection with set A. Besides those, set B can include any other letters from the alphabet.
Explanation:The question involves finding a possible set B given the information that set A is {a, b, d, f, g} and A ∩ B = {b, d}, where ∩ represents the intersection of two sets. Intersection means the elements that are common to both sets.
Therefore, to solve this, we can conclude that set B must contain at least the elements {b, d}, as these are present in the intersection with set A.
However, set B can also contain other letters of the alphabet since the universe U is the set of all letters in the alphabet.
Hence, the possible set B could be any set containing {b, d} along with any combination of other letters from the alphabet. For example, set B could be {b, d, e, m, n} or {b, d, x, y, z}, or simply {b, d} itself.
Final answer:
Set B must contain the elements {b, d} from the intersection with set A and can include any other letters of the alphabet except for a, f, and g.
Explanation:
The question asks us to determine set B given that the intersection of sets A and B is {b, d}. We know that A = {a, b, d, f, g} and A ∩ B = {b, d}. The intersection of two sets includes only the elements that are present in both sets. Since b and d are the only common elements, they must be in set B. However, set B can also contain any elements from the universal set U that are not in set A. Hence, set B must include {b, d} and can include any of the other letters in the alphabet except for a, f, and g.
Related Questions
PLEASE HELP!!!!!!!!!!!
The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you are able to make with the ten letters you are given. The game leader currently has 17,950 points. Sal wants to break the record and needs 18,000 points or more to do so.
Write an inequality to determine how many seven-letter words, w, Sal will need to make to break the record.
Identify which graph represents the solution set to this inequality.
Answers
Points Sal needs to make : at least 18000 or more.
Construct Equation:
100 + 50x ≥ 18000
Take away 100 from both sides:
50 x≥ 17900
Divide both sides by 50:
x ≥ 17900 ÷ 50
Answer:
x ≥ 358
Answer : C x ≥ 358
if you invest $100 a month into a retirement account paying 6% interest compounded monthly, how much will you have after 35 years?
Answers
0.06(100) + 100
But because it is 35 years:
35(0.06(100)) + 100
2.1(100) + 100
We can make it simpler:
3.1(100)
310
You will have $310
the formula for finding the area of a triangle is a equals 1/2 x base height a triangle has height 12 in an area of 54 in squared what is the length of its base
Answers
54=1/2 x b x 12
54 =6b
54/6
9=b
what is the solution to the linear equation? 2.8y+6+0.2y=5y-14
Answers
Combine like terms
3y+6=5y-14
Subtract 6 from both sides
3y=5y-20
Subtract 5y from both sides
-2y=-20
Divide both sides by -2
Y=10
Answer:
Step-by-step explanation:
D)10
Explain why 0.77 > 0.077
Answers
what is a rational number?
Answers
Example: 2/5 , -6,
Because you can write any integer as a quotient with a denominator of 1, all integers are rational numbers,
Example: 5 = 5/1
~Aamira~
Hope this helped☺☺
Does 21.6,28.8,36 equal a right triangle
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Select from the drop-down menu to correctly compare the numbers.
50−−√ 6.237...
A ≤
B =
C ≥
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Answer:the answer is c
Step-by-step explanation:
I just did the test I got at 100
What is the correct meaning of the word particular?
Millie looked through all of the markers until she found the particular shade to color the flowers
A) extremely rare
B) separate and distinct
C) easily seen or noticed
D) commonly occurring
Answers
Answer:
Step-by-step explanation:
The answer is B
Find the circumference of the circle. Round to the nearest tenth.
A.) 148.4 m
B.) 84.8 m
C.) 196.6 m
D.) 54.0 m
Answers
HOPE I CAN HELP U
Tabitha and her parents drive to Dallas for a wedding after 90 minutes Tabatha's father tells her that they have travel 105 miles what is the average rate of speed the car travel in 90 minutes
Answers
Please solve both, graph and show work. answer also has to be in y=mx+b format.
2x-y=1 and x+y=2
Answers
-2x -2x
-----------------
-y=-2x+1
Multiply by -1
y=2x-1
x+y=2
-x -x
------------
y= -x+2
Use absolute value to express the distance between −13 and 17 on the number line
Answers
Answer:
Step-by-step explanation:
Distance between two points a and b using the absolute value is given by
|b-a|.
Here we have a=-13
and b =17
so
Distance = | 17- (-13) |
Distance = |17 +13 |
Distance = | 30 |
Distance = 30 units
In absolute value, the distance is written as |30|
The given points:
[tex](x_1, x_2) = (-13, 17)[/tex]
To find:
the distance between -13 and 17The distance between the two points on a number line is calculated as;
[tex]Distance = \sqrt{(x_2-x_1)^2} \\\\Distance = \sqrt{(17--13)^2}\\\\Distance = \sqrt{(30)^2} \\\\Distance = + /- \ \ 30[/tex]
In absolute value, the distance is written as;
Distance = |30|
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ΔABC and ΔXYZ are similar triangles. If BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4, find the value of x.
Answers
Solution:
we are given that ΔABC and ΔXYZ are similar triangles.
As we know , when two triangles are similar then the ratios of their corrsponding sides are equal.
Here we have
BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4
So we can write
[tex] \frac{x+9}{x+5}= \frac{x+7}{x+4}\\ \\ (x+9)(x+4)=(x+7)(x+5)\\ \\ x^2+13x+36=x^2+12x+35\\ \\ 13x-12x=35-36\\ \\ x=-1\\ \\ [/tex]
Hence then value of x=-1.
Answer:
-1
Step-by-step explanation:
If the area of a square is 64 square centimeters, whats the length of one side?
A. 8cm
B. 32cm
C. 16cm
D. 4cm
Answers
Which of the following equations represents a line that is parallel to y=5x-4 and passes through the point, (3,4)?
Answers
Slope of parallel lines is the same, so slope of the line parallel to the given line will be m = 5
We have the slope and a point, using the point-slope form we can write the equation of the line:
y - 4 =5 (x - 3)
y = 5x - 15 + 4
y = 5x - 11
So, the above equation is the desired answer.
Comparing given equation with y=mx+c we get m=5
Parallel lines have equal slopes.
Therefore, slope of required line = m = 5
This required line passes through points (3,4)(x₁,y₁)
Therefore, by slope-point form,
y-y₁=m(x-x₁)
y-4=5(x-3)
y-4=5x-15
y=5x-11
This the equation of required line
A photo of a painting measures
13 inches by 17 inches. The scale factor
is 1
3 . What size is the painting?
Answers
The size of the painting is [tex]\( \frac{13}{3} \) inches by \( \frac{17}{3} \)[/tex] inches.
If the photo of the painting has dimensions of 13 inches by 17 inches and the scale factor is 1/3 it means that the dimensions of the painting itself are 1/3 times the dimensions of the photo.
To find the size of the painting, we need to multiply the dimensions of the photo by the scale factor.
For the length:
[tex]\[ \text{Length of painting} = 13 \times \frac{1}{3} = \frac{13}{3} \][/tex]
For the width:
[tex]\[ \text{Width of painting} = 17 \times \frac{1}{3} = \frac{17}{3} \][/tex]
What decimal part of 440 is 220? Please, show work!
Answers
what is the difference between the greatest green bean weight and the least green bean weight
Answers
8. Find the measure of the third angle of a triangle given that the first two angles are 44o and 72 o. Show your work.
Answers
44+72=116
180-116=64
3rd angle=64
64+44+72=180
44+72=116
180-116=64
3rd angle=64
64+44+72=1805 − (x + 5) > −2(x + 4)
Answers
step by step work
Let's solve your inequality step-by-step.5−(x+5)>−2(x+4)
Step 1: Simplify both sides of the inequality.−x>−2x−8
Step 2: Add 2x to both sides.−x+2x>−2x−8+2x
HELP ME PLEASE 20 POINTS TO WHOEVER ANSWERS!
Answers
Perimeter = (4x + 2) + (5x - 4) + (7x + 7)
Perimeter = 4x + 2 + 5x - 4 + 7x + 7
Perimeter = 16x + 5
Smaller Triangle:
Perimeter = (x + 3) + (2x - 5) + (x + 7)
Perimeter = x + 3 + 2x - 5 + x + 7
Perimeter = 4x + 5
Diffference = 16x + 5 - (4x + 5)
Difference = 16x + 5 - 4x - 5
Difference = 12x
Answer:
(a) Bigger Triangle = 16x + 5 ; Smaller Triangle = 4x + 5
(b) Difference = 12 x
a. 16x + 5. To do this problem you combine all of the like terms, and that is your equation.
Pink triangle-
a. 4x + 5 You do the same steps you did before, combine like terms.
b. 12x "The difference" means subtraction. So you subtract the like terme
s of both the problems and get 12x.
Hope this helps!!
Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)
Answers
Answer:
5+ 2(3+2x) = x + 3(x+1) or B
Step-by-step explanation:
correct on edge 2021
The Equation have No solution is 4(x + 3) + 2x = 6(x + 2).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
First, 4(x + 3) + 2x = 6(x + 2)
4x + 12 + 2x = 6x + 12
6x + 12 = 6x+ 12
0 = 0
Thus, the equation have No solution.
Second, 5 + 2(3 + 2x) = x + 3(x + 1)
5 + 6 + 6x = x + 3x + 1
6x+ 11 = 4x+ 1
2x = -10
x= -5
Thus, the equation have one solution.
Third, 5(x + 3) + x = 4(x + 3) + 3
5x+ 15 +x = 4x + 12 + 3
6x +15 = 4x + 15
2x = 0
x= 0
Thus, the equation have one solution.
Learn more about equation here:
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Can someone answer a b and c. Will mark brainliest!!!!
Answers
c=$9.05
A license plate comprised of 3 letters followed by 3 numbers is to be chosen (repetition is allowed). If the first letter cannot be a "Z", how many different ways can this occur? In your answer, include the set up and calculations for the license plate. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
Answers
25*26*26*10*10*10
Multiply:
650*26*1000
16900*1000
There are 16,900,000 possibilities
Jackson flipped a coin ten times. He flipped heads 4 times and tails 6 times. What is the experimental probability that Jackson will flip heads on his next flip?
Answers
Answer:
1.5 i think
Step-by-step explanation:
6/4=1.5
a pillow is in the shape of a regular pentagon. The front of the pillow is made form 5 pieces of fabric that are congruent triangles. Each triangle has an area of 22in squared. What is the area of the front of the pillow?
PLEEAASSEEEEE HHHHHEEEEELLLLLLLPPPPPPPPP !!!!!!!!!!!!!!!!!!!!!!
Answers
5 triangles = 22 x 5 = 110 in²
Answer: Area of the pillow = 110 in²
All of the following are equal except
a)-|5|
b)-|-5|
c)|-5|
d) the opposite of 5
Answers
What is the domain of this function
Answers
The domain is the numbers that makes the function real
If we put x as 4 we get an undefined answer since you can't divide by 0
From this the domain is 4 > x < 4
Hope this helps!
Answer:
Domain (-∞,4)U(4,∞)
Step-by-step explanation:
Inmagine functions as little machines that turn one number into another, the domain would the numbers that we can enter to the machine so we would have a real number on the output of it.
In this specific case we can use all the numbers but 4 because if we make [tex]x=4[/tex] we would have [tex]\frac{12}{4-4}=\frac{12}{0}[/tex] and this is an indeterminate form which won't be solution to the problem.
According to the explanation our domain would be all the numbers but 4 like this:
Domain (-∞,4)U(4,∞)
CAN SOMEONE HELP! please - Give brainliest to best
PLEASEEEEE
Answers
Answer: 7/36
This is in fraction form
The decimal version of this number is roughly 0.1944
-----------------------------------
To get this answer, we multiply the fractions 7/9 and 2/8
The fraction 7/9 is the probability of selecting purple on the first draw. There are 7 purple out of 9 total (2+7 = 9)
The fraction 2/8 is the probability of selecting white on the second draw. This is assuming we don't put the first selection back in the bag. There are 2 white out of 8 marbles over
Multiply the fractions to get:
(7/9)*(2/8) = (7/9)*(1/4) = (7*1)/(9*4) = 7/36
============================================================
Part B
Answer in fraction form: 1/36
Answer in decimal form: 0.0278 (which is approximate)
------------------
We have 2 white out of 9 total. So the probability of getting white the first time is 2/9
After we select and don't put that first selection back, we have 1 white out of 8 left over. The probability of getting white a second time is 1/8
Multiply the fractions:
(2/9)*(1/8) = (2*1)/(9*8) = 2/72 = 1/36
============================================================
Part C
Answer: There is a greater chance to get two purple in a row
------------------
Without doing any math, you can tell that purple is more likely simply because there are more purple than white. We have 7 purple and 2 white. For any given single selection, we have a greater chance of picking purple over white.
If you want do to the math, then the probability of selecting two white marbles in a row is 1/36 = 0.0278 which was found in part B above.
The probability of selecting two purple is (7/9)*(6/8) = (7/9)*(3/4) = (7*3)/(9*4) = 21/36 = 7/12 = 0.5833
In summary,
the probability of selecting two white marbles in a row is 0.0278
the probability of selecting two purple marbles in a row is 0.5833
we see that the probability for the two purple marbles is much greater
Answer:
Step-by-stPart A
Answer: 7/36
This is in fraction form
The decimal version of this number is roughly 0.1944
-----------------------------------
To get this answer, we multiply the fractions 7/9 and 2/8
The fraction 7/9 is the probability of selecting purple on the first draw. There are 7 purple out of 9 total (2+7 = 9)
The fraction 2/8 is the probability of selecting white on the second draw. This is assuming we don't put the first selection back in the bag. There are 2 white out of 8 marbles over
Multiply the fractions to get:
(7/9)*(2/8) = (7/9)*(1/4) = (7*1)/(9*4) = 7/36
============================================================
Part B
Answer in fraction form: 1/36
Answer in decimal form: 0.0278 (which is approximate)
------------------
We have 2 white out of 9 total. So the probability of getting white the first time is 2/9
After we select and don't put that first selection back, we have 1 white out of 8 left over. The probability of getting white a second time is 1/8
Multiply the fractions:
(2/9)*(1/8) = (2*1)/(9*8) = 2/72 = 1/36
============================================================
Part C
Answer: There is a greater chance to get two purple in a row
Without doing any math, you can tell that purple is more likely simply because there are more purple than white. We have 7 purple and 2 white. For any given single selection, we have a greater chance of picking purple over white.
If you want do to the math, then the probability of selecting two white marbles in a row is 1/36 = 0.0278 which was found in part B above.
The probability of selecting two purple is (7/9)*(6/8) = (7/9)*(3/4) = (7*3)/(9*4) = 21/36 = 7/12 = 0.5833
In summary,
the probability of selecting two white marbles in a row is 0.0278
the probability of selecting two purple marbles in a row is 0.5833
we see that the probability for the two purple marbles is much greater