Answers
Answer:
a) AUB = { 1 ,2 , 3, 4, 5, 6, 8, 10}
b) A∩ B = { 2, 4, 6 }
c) A-B = { 8 , 10}
Step-by-step explanation:
Step(i):-
Given that the sets
U = { 1,2,3,4,5,6,7,8,9,10}
A = { 2,4,6,8,10}
B = { 1,2,3,4,5,6}
AUB = { 2,4,6,8,10} U { 1,2,3,4,5,6}
AUB = { 1 ,2 , 3, 4, 5, 6, 8, 10}
Step(ii):-
A∩ B = { 2 ,4, 6, 8,10} ∩ { 1,2,3,4,5,6} = { 2, 4, 6 }
A-B = { 2,4,6,8,10} - { 1,2,3,4,5,6} = { 8 , 10}
Final answer:-
a) AUB = { 1 ,2 , 3, 4, 5, 6, 8, 10}
b) A∩ B = { 2, 4, 6 }
c) A-B = { 8 , 10}
Related Questions
what is the solution of k=3.5??
the answers it gives me is
4k=14.5
3+k=3.8
7k=24.5
6.5+k=10.5
Answers
A combination lock has 7 digits. How many distinct combinations does this lock have if the numbers used have to be 0 through 5
Answers
Answer:
279,936
Step-by-step explanation:
Since there are 6 options for every digit, and seven digits
So,
6^7=279,936
The total number of distinct combinations for making 7 digits lock is 2,79,936.
What is permutation?A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
Formula for permutation with repetition:[tex]nP_{r} =n^{r}[/tex]
Where,
P is the total number of combinations.
n is the total number of items in a set
r is the total number of items to be selected from the set
According to the given question.
We have to form a lock that has 7 digits by using numbers from 0 to 5.
⇒ Total numbers of items in a set = 6
and total number of items to be selected = 7
Since, we have to form a lock of 7digits but we have only 6 digits. So we have to repeat this numbers so that we can form a 7 digit lock.
Therefore, the total number of combinations for making 7 digits lock is given by
[tex]6P_{7} = 6^{7}[/tex]
⇒[tex]6^{7}=2,79,936[/tex]
Hence, the total number of distinct combinations for making 7 digits lock is 2,79,936.
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Vivian has a 550 page book on folk tales . If she reads 9 pages everyday before falling asleep . how many days will it take her to finish the book
Answers
Answer:
62 days
Step-by-step explanation:
Given that she reads 9 pages everyday before falling asleep. Then, on day one, she would read 9m pages.
On day 2, she would read another 9 pages, making 18 pages after 2 days. If she will finish the book in x days then
x = 550/9
=61 1/9 days
Converting the 1/9 into a day then, she will finish the book in 62 days, reading just a page on the 62nd day.
if you complete it and it's correct I give you (brainlist)help
Answers
Answer:
1. 9
2. 122cm squared
3. 189m
4. 30
5. b
Step-by-step explanation:
1. 27,36,45,54,63,72,81,90,99
2. 12x6=72 10x5=50 50+72=122
3. 21x9=189
4. 5x12=60 60/2=30
5 b because 150 divided by 4 doesn't give you a whole number.
lf F-'(x) is the inverse of F(x), which statements must be true?
Answers
HELP ASAP , WILL GIVE MOST BRAINIEST
Use the drawing tools to graph the solution to this system of inequalities on the coordinate plane.
y> 2x + 4
x+y s6
Answers
The inequalities y > 2x + 4 and x + y ≤ 6 can be plotted on the coordinate plane as shown in the picture.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have two inequalities:
y > 2x + 4
x + y ≤ 6
We can plot the above inequality on the coordinate plane.
The inequalities representing the region between the two lines the lines are:
y = 2x + 4
x + y = 6
y > 2x + 4 (dashed line on the graph)
x + y ≤ 6 (solid line on the graph)
Thus, the inequalities y > 2x + 4 and x + y ≤ 6 can be plotted on the coordinate plane as shown in the picture.
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How do I Factor 42p⁴+9p³q²-18p²q²
Answers
Answer:
42p^4 + 9p^3q^2 -18p^2q^2 = p^2 (42p^2 + 9pq^2 - 18q^2)
Step-by-step explanation:
To answer this, we simply look for that term that is common to all
Looking at the given expression, we can see that the term we are looking for is p^2
Thus, we have that;
42p^4 + 9p^3q^2 -18p^2q^2 = p^2 (42p^2 + 9pq^2 - 18q^2)
When we multiply the term outside the bracket with each of the terms inside, we get back the original term
Karl makes a scale drawing for a crate with a scale factor
of 1:12. The dimensions his scale drawing are 10 inches
long by 8 inches wide. The builder creates a scale drawing
of the crate with a scale factor of 1:3.
What are the dimensions of the builder's scale drawing?
O A. The length is 2.5 inches and the width is 2 inches.
B. The length is 2 inches and the width is 2.5 inches.
C. The length is 40 inches and the width is 32 inches.
D. The length is 32 inches and the width is 40 inches.
Answers
Answer:
C. The length is 40 inches and the width is 32 inches.Step-by-step explanation:
a bat and a baseball costs $1.10. the bat costs $1 more than the ball. how much does the ball cost?
Answers
Answer: 0.10
Step-by-step explanation:
because u said that the bat was 1.00 more than the ball so the ball would be 0.10
Ash is 4 years younger than Gary, and Oak is 5 times Gary's age. The sum of their three ages is 94. Find Gary's age. Show working out. Thanks!!
Answers
Answer:
Step-by-step explanation:
If Gary's age is 14 then
Ash is 4 years younger = 14 - 4 = 10
And Oak is 5 times Gary's age = 14 x 5 = 70
So total ages = 70 + 14 + 10 = 94
PLEASE AM TIMED STEP BY STEP
Answers
Answer:
Here you go :)
Step-by-step explanation:
A histogram titled Number of texts has time on the x-axis and texts on the y-axis. From 6 a m to 8 a m there were 15 texts, 8 to10 a m: 5, 10 a m to 12 p m: 0, 12 p m to 2 p m: 0, 2 p m to 4 p m: 0, 4 to 6 p m: 29, 6 to 8 p m: 19, 8 to 9 p m, 14, 10 p m to 12 a m: 5.
Which statements are true given the histogram? Check all that apply.
The histogram is symmetrical.
The histogram is evenly distributed.
The cluster from 4 p.m.–10 p.m. means that most of the texts were sent in the afternoon and evening.
More texts were sent from 6 p.m.–8 p.m. than from 8 p.m.–10 p.m.
The peak from 4 p.m.–6 p.m. means that the highest number of texts was sent during this interval.
Answers
Answer:
The cluster from 4 p.m.–10 p.m. means that most of the texts were sent in the afternoon and evening.
More texts were sent from 6 p.m.–8 p.m. than from 8 p.m.–10 p.m.
Step-by-step explanation:
From 6 a m to 8 a m there were 15 texts,
8 to10 a m: 5, 10 a m to 12 p m: 0,
12 p m to 2 p m: 0,
2 p m to 4 p m: 0,
4 to 6 p m: 29,
6 to 8 p m: 19,
8 to 9 p m, 14,
10 p m to 12 a m: 5.
Answer:
The cluster from 4 p.m.–10 p.m. means that most of the texts were sent in the afternoon and evening.
The peak from 4 p.m.–6 p.m. means that the highest number of texts was sent during this interval.
Step-by-step explanation:
IM DORA
please help i wasn’t taught this
Answers
Answer:
Step-by-step explanation:
B
URGENT WILL GIVE 10 PTS!!!!!!!!!!!!!
How do you find surface area and what is the formula for it?
Answers
Answer:
Surface Area is found by adding the areas of all the faces of the shape.
Step-by-step explanation:
Surface Area =2lengthwidth+2lengthheight+2heightwidth
i need help
56 = -10 + 2x
Answers
Move the variable towards the left side and transition it’s sign in this problem
-2x+56=-10
Move the constant heading towards the right side and proceed to put a transition within it’s sign
-2x=-10-56
Now that you have that installed, you must calculate the difference here
-2x=-66
Now you divide -2 in both sides that has taken place in
x=33, therefore x=33 in 56=-10+2x
To check you can do 56=-10+2(33) and it will give you the right answer
Answer: x= 33
i subtracted -10 away from 56 and i got 66, then i divide 66 by 2x and got 33x.. which is your answer ;)
I need help!!! I’ll mark you brainliest
This is timed!!
Answers
Answer:
Using the inverse composition rule you know that if (fog)=x and (gof)=x then the functions are inverses.
( g o f ) = ( 7 x + 1 ) − 1 7 this will result in (gof)=x ( f o g) = 7 x − 1 7 +1 = x − 1 + 1 =x
graphically you can check this if it seems that the functions are reflected over the line x=y.
Step-by-step explanation:
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Sbhdcehebjshshwa on sd
Answers
Answer:
A
Step-by-step explanation:
Answer:
It's A
Step-by-step explanation:
It's in the middle of 0 and 1 (-1/2) on the x axis and for it to be in the middle of the two points the mid point stays on the x axis thus the y value (the value that goes up and down) is 0.
A jar is filled with buttons of various colors. If the jar has a total of 200 buttons and 70% are green, how many green buttons are there?
Answers
Answer:
140 green buttons
A balloon holds 5.2 cubic feet of air. The balloon is blown up larger to hold 8.3 cubic feet of air. What is the percent
of change for the volume of air inside the balloon?
Answers
Answer:
8.3+5.2
Step-by-step explanation:
Peter buys a comic for $4. There was a discount of 20%. What is the sale price?
Answers
Answer:
4$ x .8= 3.2. 3.2$ is paid
Step-by-step explanation:
Answer:
$3.20
Step-by-step explanation:
asap! super urgent! help me outtt :'(
Answers
Answer:
3/47
Step-by-step explanation:
of the 47 total cars, 3 of them are a beige SUV
You look for the cases where the vehicle is a beige car and an suv, there is three of them. You then divide by the total number of vehicles to find the probability of a beige suv.
Hope this helps your studies.
HELP ASAP PLS!!! 30 POINTS AND BRAINLEST IF UR RIGHT
ANSWER ALL FOUR TO GET BRAINLEST!!!!!!
Answers
Answer:
C,D,A,A
Step-by-step explanation:
Answer:
1. B
2. B
3. C
4. B
On the evening news, the weatherman said their was a 60% chance of rain. Which
value is equivalent to 60%?
Answers
Answer:
0.6 is equivalent
Answer:
60/100=6/10=4/5
0.6
Step-by-step explanation:
these are all equivalent
If the ordered pairs below vary directly, find the missing value
1. (2,-6) and (5,y)
Answers
Answer:
5
Step-by-step explanation:
I think
2,-6
5,y
so we add 3 to the 2 to make it to a 5
so i think we add the 3 to the -6 to make it to a -3
so i think the answer is -3
WILL GIVE BRAINLIEST!!!!!
A bacteria grows exponentially so that it doubles every 12 days. There are 500 bacteria initially. Write a function that models the number of bacteria after t days.
Note is is NOT doubling every day! Careful.
Find the number of bacteria after 60 days.
Answers
Answer:
16000 bacteria after 60 days
Step-by-step explanation:
60 divided by 12 = 5
500 x 2= 1000
1000 x 2 = 2000
2000 x 2 = 4000
4000 x 2 = 8000
8000 x 2 = 16000
The function is, f(x) = 2x/12*t
And, the number is 16000 bacteria after 60 days.
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, given that,
A bacteria grows exponentially so that it doubles every 12 days
let, initially the number of bacteria = x
after 12 days = 2x
i.e. after t days = 2x/12*t
So, the function is, f(x) = 2x/12*t
Now, we have,
60 divided by 12 = 5
So, the number of bacteria will be,
500 x 2= 1000
1000 x 2 = 2000
2000 x 2 = 4000
4000 x 2 = 8000
8000 x 2 = 16000
Hence, the number of bacteria after 60 days is 16000.
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The expression 3(x-9) is equivalent to
03(x)+9.
O 3(x)+3(9).
o 3(x) – 9.
3(x) – 3(9).
Answers
Answer:
3(x)-3(9)
Step-by-step explanation:
The brackets means you times everything within the brackets with everything outside it. So it would be 3 times x take away 3 times 9
Find x
7x + 6
A) 8
C) -10
B) -5
D) -7
Answers
Answer:
A
Step-by-step explanation:
7x+6+72+46=180
7x=56
x=8
What is the remainder when 12 345 x 54 321 is divided by 9?
1
2
3
Answers
how do I Write an equation for the proportional relationship for the question about apples and pizza proportionality???
Answers
Answer:
Step-by-step explanation:
Answer:
hahahjaje shjjw wjwjwjwijwv whwhjwjqbqnqkqiqiqjqbwbwbwbwjjwbwbw
(-3,-2). (9. -15)
Slope
Answers
answer:
-13/12
Step-by-step explanation:
use the formula to find slope using points
it is: y2-y1/x2-x1
plug in point values into formula
-3 = x1. 9 = x2
-2= y1. -15 = y2
-15-(-2)/ 9-(-3)
-13/12
Answer:
m= -13/12
Explanation:
formula to solve: x1-y1
x2-y2