If × denotes the Cartesian product, and if a ∈ A and b ∈ B, then (a, b) ∈ A × B.
First prove that A × (B - C) ⊆ (A × B) - (A × C):
Let a ∈ A and b ∈ B - C.
By definition of the product, (a, b) ∈ A × B.
By definition of complement, b ∈ B and b ∉ C.
So (a, b) ∈ A × B and (a, b) ∉ A × C.
By definition of complement, (a, b) ∈ (A × B) - (A × C).
Therefore, A × (B - C) ⊆ (A × B) - (A × C).
Prove the other direction, that (A × B) - (A × C) ⊆ A × (B - C):
Let (a, b) ∈ (A × B) - (A × C).
By definition complement, (a, b) ∈ (A × B) and (a, b) ∉ (A × C).
By definition of the product, a ∈ A, b ∈ B, and b ∉ C.
By definition of complement, b ∈ B - C.
By definition of the product, (a, b) ∈ A × (B - C).
Therefore, (A × B) - (A × C) ⊆ A × (B - C).
Hence the two sets are equal. QED
What is the result of 4 divided by StartFraction 8 Over 12 EndFraction?
4 boxes of 12 squares
One-sixth
StartFraction 3 Over 8 EndFraction
3
6
Answer:
the correct answer is 6
Step-by-step explanation:
If u want to find the answer for this problem, u need to kcf(keep, change, and flip). Allow me to show u what im talking about
4/(8/12)
first i keep the four
then i change division to multiplication
4 x 8/12
then i flip 8/12
4 x 12/8
then solve
48/8
now the answer is 6
now if the question was the opposite way like 8/12 divided by 4, then it will be 1/6
Still, the answer is 6
hope it helps :)
Answer:
It is D
Step-by-step explanation:
I just finished the quiz and that is the answer that I got when I looked the answers
Tell me if I am wrong
Hope this helps:):):):)
Find the measure of the angle indicated in bold.
16)
x + 142
x + 62
Answer:
pls attatch a pic so i can help u out :)
Step-by-step explanation:
4.5 divided by 0.25 asp
Answer:
18??
Step-by-step explanation:
which ordered pair is not in the solution set of 2x-y>3?
Answer:
what are the options
Step-by-step explanation:
Select the best estimate of the product of 18 x 31 = ____
Answer:
Really? 600.
Step-by-step explanation:
18 is approximately 20, and 31 is approximately 30, so 20*30=600.
What is this simplified
t+9 -W-t-9
Answer:
W
Step-by-step explanation:
t+9-W-t-9 = t-t+9-9-W=-W
Answer:
-w
Step-by-step explanation:
Determine whether the set is well defined.
1) The set of manufacturers of televisions that enjoyed sizeable profits in 1996
A) not well defined
B) well defined
Answer:
A) not well defined
Step-by-step explanation:
A set is said to be a well-defined set when we can clearly state whether something belongs to that set or not without any trace of ambiguity.
This implies that based on the information provided, we can easily decide on the members of a well defined set. A set that is not well defined carries some level of ambiguity regarding what and what should be part of the set.
In this case, 'sizeable profits' was not clearly defined. There ought to have been a threshold of profit defined as sizeable (e.g profit of $ 1,200,000 and above).
Since there is no such definition of 'sizeable profits', the set is not well defined.
HELP WILL BE GIVING BRANLIEST! Please give an explanation
Answer:
what is the question
brainliest plz
explanation
sure i will
Karmen wants to purchase a pair of jeans with an
original price of $35.00. The jeans are on sale for 30%
off and she had a coupon for $2.00 off any purchase.
Her mom wants her to determine the actual price
before they go to the store.
How much money would she save?
Answer:
Ok, this is complicated. First you multiply 35 by .30. This gets you $10.50 OFF of the original price. Ok? So then you add the 2 dollar coupon. This gets you $12.50 OFF. So she would save $12.50.
YOUR ANSWER IS $12.50! Hope this helps! Please mark me brainliest!
If f(x)=2x-5, then 14) is
17
03
4
5
Answer:
the answer is 17
Step-by-step explanation:
is is Mark as brainleast please
yearly cost of food is $7800 yearly income 48,000 what percentage is 7800?
Answer:
16.25%
Step-by-step explanation
To find the percent you need to divide the given number (7,800) by the total (48,000)
What is the slope of the line that passes through the points (-2, 3) and (-14, -5) ? Write your answer in simplest form.
Answer:
2/3
Step-by-step explanation:
-5-3 / -14-(-2) = 2/3
The slope of the line that passes through the points (-2, 3) and (-14, -5) will be 2/3.
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
m =(y₂-y₁)/(x₂-x₁)
It is given that the line passes through the points (-2, 3) and (-14, -5),
(x₁,y₁) =(-2, 3)
(x₂,y₂) =(-14, -5)
The slope 'm' of any straight line is given by:
A linear equation has the form y = MX + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
Substitute the given value in the slope formula,
m = (-5-3) / (-14-(-2)
m =-8 / -12
m = 8 / 12
m = 2/3
Thus, the slope of the line that passes through the points (-2, 3) and (-14, -5) will be 2/3.
Learn more about the slope here:
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What addition expression is equivalent to 5 – 3?
Answer:2+3
Step-by-step explanation:
The required expression that is equivalent to 5-3 is 5 + (-3).
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
In addition, rule, when two values are added and found that the value in outcome is lower than any of the added values, then the expression is given as,
= a + (-b)
where, -b is the negative real number,
So for the given question,
addition expression for 5 - 3 is 5 + (-3)
Thus, the required expression that is equivalent to 5-3 is 5 + (-3).
Learn more about equations here:
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An investment is made at 7% simple interest of 1 year. It grows to $8988. How much was originally invested?
Answer:
88 is the answer
Step-by-step explanation:
because 44+44=88
I need an answer ASAP Please
Find the focus and the directrix of the parabola with the equation y = –1∕12(x – 4)2 +2.
Question 10 options:
A)
Focus = (4,2), directrix is y = 5
B)
Focus = (4,–1), directrix is y = 5
C)
Focus = (4,–1), directrix is y = –5
D)
Focus = (4,1), directrix is y = –5
Help me!!!!!!!! !!!!
Answer:
ayoooooooooooooooo
Step-by-step explanation:
================================================
Work Shown:
We'll use the tangent rule since it connects the opposite and adjacent side.
tan(angle) = opposite/adjacent
tan(42) = x/20
20*tan(42) = x
x = 20*tan(42)
x = 18.00808
x = 18
The value is approximate.
Rounding 18.00808 to the nearest tenth leads to 18.0 which is the same as 18
Make sure your calculator is in degree mode.
Which of the following illustrates the Law of Syllogism?
Answer:
if (p-q) and (q-r) then p-r
A trip to a nearby island takes 27 hours by boat and 4 hour by airplane. How many times as fast as the boat is the plane? 21 /
Jane lose 4.7 miles from the local ice cream parlor wow Sarah lives only 3.4 miles from the same ice cream parlor how many more feet away from the parlor does Jane live? Explain how you got the answer.
9514 1404 393
Answer:
6864 ft
Step-by-step explanation:
In miles, the difference of distances is ...
4.7 mi - 3.4 mi = 1.3 mi
We know there are 5280 feet per mile. In feet, that distance is ...
(1.3 mi)×(5280 ft)/(1 mi) = (1.3×5280) ft = 6864 ft
Jane lives 6864 feet farther from the parlor than Sarah.
Answer: If we’re talking terms of subtraction, then it would be 1.3. Now if we’re talking feet, what the other guy said.
Step-by-step explanation:
4.7-3.4=1.3
Divide. Round to the nearest hundredth if necessary.
To the nearest hundredth, 80.88 = 8.425 is
Answer:
if you need it in the hundredth place you would add a zero.
9.60
Step-by-step explanation:
80.88/8.425=9.6
find the angle of x
Answer:
73
Step-by-step explanation:
im pretty sure
According to the income section shown below from the 1040EZ form, if a
taxpayer filing her federal income tax return using the Single filing status
enters $8900 on line 4 for adjusted gross income, what would she enter on
line 6 for her taxable income? Assume that nobody can claim the taxpayer as
a dependent.
Answer:
The correct answer is $0
Step-by-step explanation:
The taxable income (line 6) on the 1040EZ form is:
Taxable Income = -$3,650.
If the result is negative, it means the taxpayer's income is below the standard deduction threshold, and her taxable income would be $0.
Here,
To calculate the taxable income (line 6) on the 1040EZ form, we need to subtract the standard deduction from the adjusted gross income (AGI).
For the tax year 2021 (the last available information before my knowledge cutoff in September 2021), the standard deduction for a taxpayer filing as Single is $12,550.
Given that the taxpayer's adjusted gross income (AGI) is $8,900, we calculate the taxable income as follows:
Taxable Income = AGI - Standard Deduction
Taxable Income = $8,900 - $12,550
Taxable Income = -$3,650
If the result is negative, it means the taxpayer's income is below the standard deduction threshold, and her taxable income would be $0.
The taxpayer would not owe any federal income tax in this case.
However, she may still want to file her tax return to claim any potential tax credits or receive a refund if she had taxes withheld from her paycheck during the year.
learn more on income section :
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Kevin but 4 bags of gravel to cover the bottom of his fish think he has a pound of gravel left over how much gravel did Kevin used to cover the bottom of his tank
Write an equation to represent the scnerio:
Twice Bill's number added to 80 is 112
Answer:
Equation: 2x + 80 = 112
Bill's Number: 16
Step-by-step explanation:
Step 1:
2x + 80 = 112
Step 2:
2x = 112 - 80 Subtract 80 on both sides
Step 3:
x = 32 ÷ 2 Divide
Answer:
x = 16
Hope This Helps :)
Multiply. Enter the product in simplest form. 3 4 × 5 9 =
Answer:
2,006
I entered it on my calculator
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[tex]34 \times 59 = 2006[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
−5 1/3 ÷ 2 3/4 in fraction pls
WAITTTTTTttttttttttt
ILLL ANSWER JUST HAVE PATIENCE
Answer:
[tex]-\frac{64}{33}\\\\-1\frac{31}{33}[/tex]
Step-by-step explanation:
[tex]-5\frac{1}{3}\div \:2\frac{3}{4}\\[/tex]
Convert mixed numbers to improper fractions
[tex]=-\frac{16}{3}\div \frac{11}{4}\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\\\=-\frac{16}{3}\times \frac{4}{11}\\\\\mathrm{Multiply\:fractions}:\\\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\\\=-\frac{16\times \:4}{3\times \:11}\\\\=-\frac{64}{33}\\\\=-1\frac{31}{33}[/tex]
PLease help. correct answer gets brainliest
( Please help ) (1/4 + 2/3) + ? = 0 what is the ? Value
Answer:
-11/12
Step-by-step explanation:
Sasha has a coupon to a local store that gives her 15% off one item. If the item she buys costs ddollars, the amount she will be charged can be represented by this
expression
0.850
Which of these is equivalent to the expression?
1 d+0.15d
2 d-0.15d
3 0.15d
4 1.15d
Answer:
2
Step-by-step explanation:
If d was $10 then 10x.15= $1.50. Then you take 10-1.5 and get $8.50
Every month, Ms. Moyer pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car loan each month. At the end of the year, her saving account balance changed by -$3,219 from payments made on her car loan. What is the change in Ms.Moyer’s savings account balance each month due to to her car payment?
Answer:
$268.25
Step-by-step explanation:
3219/12
