Explanation:-
★(i).
A = { 1,2}
⇛ n (A ) = 2
B = { 3,4,5,6}
⇛ n (B) = 4
n(A)+n(B) = 2+4 = 6
★(ii).
The symbol ⇛ means Implies
★(iii).
A = Phi = {}
B = phi = {}
AUB = { } U { } = { }
AUB = phi = { }
(iv).
AUB = BUA is called Commutative law in sets uner union .
★(v).
Null set = Void set = Empty set = { }
Number of elements in the empty set = 0
⇛ Cardinal number of null set is zero (0)
★(vi). If AUB = B then B is the super set and A is the sub set of B
★(vii). A = { 1,2,3,4}
B = {2,4,6,8}
A-B = {1,2,3,4} - { 2,4,6,8}
=> A-B = { 1,3}
★(viii). n(AUB) = 8
n(A) = 6
n(B) = 4
We know that
n(AnB) = n(A)+n(B)-n(AUB)
⇛ n(AnB) = 6+4-8
⇛n(AnB) = 10-8
⇛ n(AnB) = 2
or n(AUB)+n(AnB) = n(A)+n(B)
⇛ 8+ n(AnB) = 6+4
⇛ 8+ n(AnB) =10
⇛ n(AnB) = 10-8
⇛ n(AnB) = 2
Therefore, n(AnB) = 2
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Answer:
I believe it is D.
Step-by-step explanation:
hope this helps
Answer:
b. 4x-5
Step-by-step explanation:
Richard had 5 less than Max. Ben has 4 times more than Richard. Max has x
4x-5
4x is 4 times more than richard, but has 5 less than max. So, 4x is Ben, but its 5 less than Max, so -5
ax + bx - 3=-4, for x
Answer:Please give me Brainliest
[tex]\frac{-1}{a+b}[/tex]
Step-by-step explanation:
Let's solve for x.
Ax+bx−3=−4
Step 1: Add 3 to both sides.
Ax+bx−3+3=−4+3
ax+bx=−1
Step 2: Factor out variable x.
X(a+b)=−1
Step 3: Divide both sides by a+b.
[tex]\frac{x(a+b)}{a+b} =\frac{-1}{a+b}[/tex]
What is the solution to the system of equations?
3 x minus 4 y = 16. 2 x + 3 y = 5.
(–4, 1)
(4, –1)
(–4, –1)
(4, 1)
Step-by-step explanation:
3x - 4y = 16
-4y = 16 - 3x
y = -(16 - 3x)/4
2x + 3y = 5
2x + -3(16 - 3x)/4 = 5
(8x - 48 + 9x)/4 = 5
17x - 48 = 20
17x = 68
x = 68/17
x = 4
3x - 4y = 16
3(4) - 4y = 16
12 - 4y = 16
-4y = 4
y = 4/-4
y = -1
Solution = (4,-1)
Option → B
£8658 is shared equally between 9 people. How much does each person get?
£
Answer:
962
Step-by-step explanation:
8658/9
answer is 962 pounds
Step-by-step explanation: divide 8658 by 9
express as kilometres using decimals :
i )19 m
ii )28 m
iii )686 m
iv )75 km 6 m
v )8282 m
Step-by-step explanation:
19 m = 0.019 km
28 m = 0.028 km
686 m = 0.686 km
75 km 6 m = 75.006 km
8282 m = 8.282 km
hope this answer helps you dear...take care!
Answer:
19 m = 0.019 km
28 m = 0.028 km
686 m = 0.686 km
75 km 6 m = 75.006 km
8282 m = 8.282 km
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how do you simplify 8(-8)+2
Answer:
[tex]8x(-8)+2[/tex]
there you go
100000x100000 what is the answer
Answer:
10000000000
Step-by-step explanation:
The product of 100,000 multiplied by 100,000 is 10,000,000,000.
To find the product of 100,000 multiplied by 100,000, perform the multiplication operation:
100,000 x 100,000 = 10,000,000,000
The answer is 10,000,000,000.
To explain this, when multiplying two numbers, multiply each digit of one number by each digit of the other number and sum up the results.
In this case, we have:
100,000
x 100,000
____________
000,000
000,000
000,000
000,000
+ 100,000
____________
10,000,000,000
So, the product is 10,000,000,000.
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Lea drove 420 miles and used 20 gallons of gas. how many miles per gallon did her car get
Answer:
21 miles per gallon.
420÷20
Step-by-step explanation:
A cheerful teen willing to help,
who listens to ,"Fight Song,"
stay salty,
stay positive...
Someone help thank u
Here you go my friend
Find the volume of the figure below. Round to the nearest hundredths place when
necessary
6 cm
1
22 cm
14 cm
Answer:
64
Step-by-step explanation:
A town's population is currently 5,000. If the population doubles every 27 years, what will the
population be 54 years from now?
Answer:
20000
Step-by-step explanation: If it doubles every 27 years and its asking if 54 years had passed then it would be 5000*4 which is 20,000
Brainliest is appreciated
Answer: 20,000
Step-by-step explanation:
Because the population doubles every 27 years, the population will double twice since 54/27 = 2
5,000 * 2 = 10,000
10,000 * 2 = 20,000
Alternatively you can add instead of multiplying
5,000 + 5,000 = 10,000
10,000 + 10,000 = 20,000
Please answer the question with the right answer its my last chance to get it right... I will mark you brainliest and rate you five stars if you answer it good
==================================================
Explanation:
Given a triangle with sides a and b, the third side c is bounded by this compound inequality
b-a < c < b+a
where a < b
--------
In this case, a = 16 and b = 26, so
b-a < c < b+a
26-16 < x < 26+16
10 < x < 42
I'm using a version of the triangle inequality theorem.
This unknown third side is between 10 cm and 42 cm. The third side cannot equal 10 nor can it equal 42.
Factor out the coefficient of the variable term.
The expression
3/8d + 3/4
Factored is
Answer:
For this case we have the following expression:
(3/8)d + 3/4(3/8)d+3/4
We must factor the term that accompanies the variable.
We have then:
(3/8) (d + (3/4) * (8/3))(3/8)(d+(3/4)∗(8/3))
Rewriting the expression we have:
(3/8) (d + 8/4) (3/8) (d + 2)(3/8)(d+8/4)(3/8)(d+2)
We're going to check the result. To do this, we multiply the term 3/8 for each term within the parenthesis:
(3/8) d + 2 (3/8)(3/8)d+2(3/8)
Rewriting:
(3/8) d + 3/4(3/8)d+3/4
The factorization is correct.
Answer:(3/8) (d + 2)
6/7 or 1 which one pleitty pleasss
Answer:
if it rounding then it is 1 but if not then 6/7
Step-by-step explanation:
ROUNDING 1
NON-ROUNDING 6/7
36y^(2)-100
a. (6y-10y) (6y+10y)
b. (6y-10)^2
c. (6y+10)^2
d. unable to factor
Answer:
(6y+10)^2
Step-by-step explanation:
right answer
Evaluate 3-5 using a number line.
Step-by-step explanation:
= 3 - 5
= -2
line in the picture
what is the value of the expression below
(27^5/3)^1/5
Answer:
Step-by-step explanation:
[tex](\frac{27^5}{3})^{\frac{1}{5}}[/tex] is equal to 21.67402216… The decimal infinitely repeats.
25.75 dividido por 5
each day pierrie gets up at 7;00 and goes to bed at 22;00 what percentage of the day is he is bed
Answer:
37.5%
Step-by-step explanation:
Okay, so he gets up at 7:00. He goes to bed at 10:00. So, 10, into 12 thats two hours and then 7 thats another seven hours, so 9 hours he is in bed. Theres 24 hours in a day so thats 9 hours out of the day. If we turned that into a percentage that would be %62.5 hours in a day he is not sleeping, and 100 - 62.5 would be 37.5.
The answer is 37.5
I'm stuck on this math problem! If anyone could help and give an explanation, that would be amazing!
Solve: (2x-5)^4/5=81
Thank you so much!
The answer is x = 124 , − 119
13 more than a number x
Answer:
x+13 or x<13
Step-by-step explanation:
Rename 1/6 and 1/24 using the least common denominator
Answer:
4/24, 1/24
Step-by-step explanation:
Since 24 is a multiple of 6, the LCD of 6 and 24 is 24.
1/6 = 4/24
1/24 = 1/24
You have agreed to borrow $50 and after six months you pay back $58. How much interest are you paying? What is the interest rate?
Answer:
interest: 8 interest rate: 16
Step-by-step explanation:
the interest is 8$ since you payed 8$ extra, the interest rate can be counted in another way but I forgot it. So 50 is 100%, you divide it by 100 and get 0.5. then you take 8/0.5 which means how many percent there is in 8 which is 16.
This can be solved much easier if you multiply by 2. you borrow 100 and get 116 in return. both interest and interest rate is 16
The interest is $8 and rate of interest is 16%.
What is interest?Using the interest rate formula, we get the interest rate, which is the percentage of the principal amount, charged by the lender or bank to the borrower for the use of its assets or money for a specific time period. The interest rate formula is
Interest Rate = (Simple Interest × 100)/(Principal × Time).
Given:
Interest = $58 - $50 = $8
Time = 6 months = 1/2 hours
Principal = $50
rate = ?
Thus, the rate of interest
= 8 x 100 / 50
=800 /50
= 16%
Hence, the interest is $8 and rate of interest is 16%.
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situation in mind
1
LESSON 4: CONSOLIDATION ACTIVITY
Mecall Martina's sequences 2, 6, 10, 14, 18, 22.. The 1st term is 2, the 2nd term is 6, the 3rd term is 10, and so on.
Term number Term
1
2
2
6
SON 2: COI
activity, you
hat you've
3
10
4
14
omplete the
5
18
6
22
.
Suppose n and (o) are chosen as variables, Which quantity does n represent? Which quantity does f(n) represent?
b. You can think of this sequence as a function. What is the domain?
G
You can think of this sequence as a function. What is the range?
Answer:
download the pro calculator it can answer any math problems
what are intergers and rational numbers? How are the points graphed on a coordinate plane?
Answer:
here you go
Step-by-step explanation:
As we said, points on the coordinate plane are represented as (a, b), where a and b are rational numbers. Rational numbers are numbers that can be written as a fraction, p/q, where p and q are integers. We call a the x-coordinate of the point and we call b the y-coordinate of the point.
find the mean (average) of the data set below? 2/4 18/5 28/10 5/20
Step-by-step explanation:
sum of numbers divided by how many numbers there are.
(2/4 + 18/5 + 28/10 + 5/20)/4
we bring all fractions to .../20, as 20 is the smallest common multiple of all denominators. and then we can easily sum them all up.
so,
(10/20 + 72/20 + 56/20 + 5/20)/4 =
143/20 / 4 = 143/20 × 1/4 =
= 143/80 is the mean or average
PLS ANSWER LIMITED TIME QUESTION IS: Determine the intercepts of the line.
Answer:
y-intercept (0,2.5)
x intercept (3.5,0)
Step-by-step explanation:
*Prove the two triangles congruent, by marking all the corresponding parts, and write the congruence statement and name the theorem you would use. If not able to prove, write not possible and tell what other information you would need.
Step-by-step explanation:
Figure 1
Two sides marked as congruent and the third sides is shared.It means the triangles are congruent.Theorem is SSS (side-side-side)Figure 2
One side is common and one angle marked as congruent.This is not sufficient to state the triangles are congruent. One more angle, adjacent to common side would make them congruent by ASA.Not congruent.Please help me solve this problem!!
how to simplify 4a-3b+6a
Step-by-step explanation:
very simple : the terms with the same base (either a specific number or a variable with the same exponent, or a function ...) can be combined.
4a - 3b + 6a
which terms here have the same base ?
ah, 4a and 6a refer to the same variable (and with the same exponent : 1, as a = a¹).
therefore, I can combine them :
4a + 6a = a×(4+6) = a×10 or simply 10a
so the result is
10a - 3b
