(A\B)xC = (AxC)\(BxC) prove this please
Answers
Answer:
to remove the brackets you need to multiple A by C and B by C and the / stays the same so it's (A×C)/(B×C)
Answer
Shown from explanation
Step-by-step explanation:
Imagine we have a set A and a set B such that set B is contained in set A .
Therefore;
A\B is a mathematical notation in set theory that means;
A\B = A-B it means complement of A
Look at the attachment for a better understanding of the concept.
Therefore:
(A\B) ×C = (A-B) × C = AxC - B× C= AC- BC
Similarly;
(A×C)\(B×C) = (AC)\(BC)= AC - BC from set theory.
Hence, (A\B) ×C =(A×C)\(B×C)
Related Questions
1) Classify the following attributes as binary, discrete, or continuous. Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity.
Example: Age in years.
Answer: Discrete, quantitative, ratio
a) Time in terms of AM or PM.
b) Brightness as measured by a light meter.
c) Brightness as measured by people's judgments.
d) Angles as measured in degrees between 0 and 360.
e) Bronze, Silver, and Gold medals as awarded at the Olympics.
f) Height above sea level.
Answers
Answer:
a) Time in terms of AM or PM: Binary, qualitative and nominal (binary attributes are considered nominal)
b) Brightness as measured by a light meter: Ratio, quantitative and continuous.
c) Brightness as measured by people's judgments: Discrete, qualitative and ordinal (assuming they're chosen discretely)
d) Angles as measured in degrees between 0 and 360: Ratio, quantitative and continuous.
e) Bronze, Silver, and Gold medals as awarded at the Olympics: Qualitative, discrete and ordinal.
f) Height above sea level: Quantitative, continuous, ratio/interval (depending if it's seen as an arbitrary origin).
can someone help me please
Answers
Answer:
y = (-1/80)x^2 +2x
Step-by-step explanation:
The graph of the equation for the arch will go through the points ...
(0, 0), (160, 0), (80, 80)
We can start by making use of the zeros to write the function ...
y = a(x -0)(x -160)
To make the graph go through the point (80, 80), we must have ...
80 = a(80 -0)(80 -160) = (-80^2)a
-1/80 = a . . . . . . divide by the coefficient of "a"
So, our equation is ...
y = (-1/80)x(x -160)
y = (-1/80)x^2 +2x
b. David and Andrew are traveling to a Mathematics conference. David travels 110 miles in the same time that Andrew travels 140 miles. Andrew travels 15 miles per hour faster than David. Find the average rate of each person.
Answers
Answer:
Its 14 and 19
Step-by-step explanation:
Answer:
b. About 15 miles
Step-by-step explanation:
got it right on edge
nora spend 1/4 of her pocket money on choclate ,1/8 pizz at end she had 40 dollar left how much did she have at the begging
Answers
Answer:
$64
Step-by-step explanation:
1/4 + 1/8=3/8
8/8-3/8=5/8
8/8 x 40 x8/5
=$64
Answer:
64
Step-by-step explanation:
1/4 = 2/8
2/8 + 1/8 = 3/8
5/8 = 40
div by 5 = 8
1/8 = 8
she had 64 dollars to start with
I need help with math can someone help me I’ll show the question?
Answers
Help due soon plss!!!!
Answers
Answer:
Cube=150cm^2
Triangular Prism=228ft^2
Step-by-step explanation:
Cube
[tex]A=6a^2=6*5^2=150cm^2[/tex]
Triangular prism
Using these formulas
[tex]A=2A_{B}+(a+b+c)h\\A_{B} =\sqrt{s(s*a)(s*b)(s*c)} \\s=\frac{a+b+c}{2}[/tex]
Solving for A
[tex]A=ah+bh+ch+\frac{1}{2} \sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4} \\=6.5*11+5*11+6.5*11+\frac{1}{2} *\sqrt{-6.5^4+2*(6.5*5)^2+2*(6.5*6.5)^2-5^4+2*(5*6.5)^2-6.5^4} \\=228ft^2[/tex]
PLEASE HELP me with the magic square
Answers
Fill in each slot in the square with variables a, b, c, d, and e, in order from left-to-right, top-to-bottom. In a magic square, the sums across rows, columns, and diagonals all add up to the same number called the magic sum.
The magic sum is -3.9, since "diagonal 2" (bottom left to top right) has all the information we need:
3 + (-1.3) + (-5.6) = -3.9
Use this to find the remaining elements
row 1:a + b + (-5.6) = -3.9
row 2:c + (-1.3) + d = -3.9
row 3:3 + e + 0.02 = -3.9
column 1:a + c + 3 = -3.9
column 2:b + (-1.3) + e = -3.9
column 3:(-5.6) + d + 0.02 = -3.9
diagonal 1 (top left to bottom right):a + (-1.3) + 0.02 = -3.9
You will find
a = -2.62
b = 4.32
c = -4.28
d = 1.68
e = -6.92
How to solve #2 if you don’t know any of the side lengths?? (We’re learning about Pythagorean Theorem)
Answers
Answer:
Applying Pythagorean theorem in right triangle with c is longest side and a, b are the other sides:
=> c^2 = a^2 + b^2
=> a^2 = c^2 - b^2
=> b^2 = c^2 - a^2
Hope this helps!
:)
Answer:
c² = a² + b²
a² = c² - b²
b² = c² - a²
Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification: freshmen 83, sophomores 68, juniors 85, and seniors 64. The school superintendent is interested in determine whether there has been a significant change in the classification between last school year and this school year.
Deteremine the correct null hypothesis for this problem
Answers
Find the given attachment
What is the equation of a line that is perpendicular to x = 6 and passes through the point (2, 3)?
Answers
Answer:
Step-by-step explanation:
The equation of any line perpendicular to a line with an equation of x= (vertical line) will have the form y= (horizontal line). In this case, since this line passes through the y value of 3, that means that the equation is y=3.
The table below represents the equation: y = 1.5x – 2 A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, 0, 3, 6. Column 2 is labeled y with entries negative 6.5, negative 2, blank, blank. Y = 1.5 (negative 3) minus 2. y = 1.5 (0) minus 2. If you completed this table, would each input have exactly one output?
Answers
Answer:
yes, each input would have exactly one output if you completed this table.
Step-by-step explanation:
Yes, there is only one output for each input. The table's linear equation provides exactly one value of y for each value of x.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
What is the linear equation?The general equation of a line is y = mx + c
where m is the slope of the line and c is the intercept.
A linear equation is defined as an equation in which the highest power of the variable is always one.
The table's linear equation provides exactly one value of y for each value of x.
Yes, there is only one output for each input.
Learn more about the linear equation here:
brainly.com/question/2263981
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Batman, who is having a slow year for crime, has resorted to saving cats from very tall buildings. Our fearless 6 foot tall hero is 40 feet from the the Petsmart building the cat was trying to break in to, in order to get his paws on the pumpkin spice cat nip. Batman sights the top of the building at a 30° angle, how high is the building?
Answers
Answer:
29.094 feet tall
Step-by-step explanation:
tan(30) = [tex]\frac{x}{40}[/tex]
so tan is opposite over adjacent which means that we should be able to solve for the opposite as we have the angle (30) and the distance from Batman to to building, which is (40 feet), with these numbers you will do, tan(30) = [tex]\frac{x}{40}[/tex] and from that you will solve for x, and from x you add the 6 foot of batmans height
Which dimensions can create more than one triangle?
three angles measuring 259, 65°, and 90°
three angles measuring 509, 50°, and 50°
three sides measuring 5 in., 12 in., and 13 in.
three sides measuring 4 ft, 8 ft, and 10 ft
Answers
Answer:
three sides measuring 4 ft, 8 ft, and 10 ft
Step-by-step explanation:
To choose which dimensions that can create more than one triangle, we consider the given values carefully and how possible it will be to construct.
The only dimensions given in the option that will be possible to create more than one triangle from it, is three sides measuring 4 ft, 8 ft, and 10 ft.
4 ft, 8 ft, and 10 ft are in simple multiple of 2
4 ft, 8 ft, and 10 ft = 2 (2 ft, 4 ft, and 5 ft ), with this we can construct two triangles with three sides measuring 2 ft, 4 ft, and 5 ft.
Answer:
d
Step-by-step explanation:
A cylindrical tank is half-full of oil. The cylinder has base radius of 100cm.The height of the cylinder is 250cm. 1 litre =1000cm cubed
How many litres of oil are in the tank? Round your answer to the nearest litre.
Answers
Answer:
Step-by-step explanation:
area of a cylinder=. V=πx r^2xh
so...
πx100^2x125=3926990.817 (the height is 125 because only half of it has oil)
3926990.817/1000=3927litres
What is the median of the following numbers?
8,10,8,5,4,7,5,10,8
Answers
Answer:
the answer is 4
Step-by-step explanation:
Answer:
the median is 7
Step-by-step explanation:
to find the median you need to find the highest number in value and then find the lowest number in value. The median is the middle value.
Can someone help me again pleaseeee :')
Answers
The answer is I because S is at -2 and T is at 4.
If you make $ 18,720 a year what is your monthly wage ?
Answers
Answer:
1,560.00 per month
Answer:
1,560
18,720/12 months in a year = 1,560 per month
hope this helps
Step-by-step explanation:
Sherri hikes on the Pacific Coast trail. She plans to hike 3.72 miles. If she hikes at an average speed of 1.2 miles per hour, how long will she hike?
Answers
Answer:
3.1 hours
Step-by-step explanation:
Average Speed=Distance Traveled ÷ Time Taken
Sherri plans to hike 3.72 miles at an average speed of 1.2 miles per hour.
Average Speed=1.2 miles per hour.Distance =3.72 milesTherefore:
1.2 miles per hour=3.72 miles ÷ Time
1.2 miles per hour X Time=3.72 miles
Time = 3.72 ÷ 1.2 hours
Time taken by Sherri=3.1 hours
Sherri will hike for 3.1 hours.
A student used f(x) = 5.00(1.012)* to show how the balance in a savings account will
increase over time. What does the 5.00 represent?
Answers
Answer:
the initial balance
Step-by-step explanation:
5.00 is the value of f(0). It is the balance before any time has elapsed, the initial balance.
How do you find the median of a data set when you have an even number of values?
Answers
Answer:
If there is an even number of numbers, the median is the average of the two numbers in the middle.
Step-by-step explanation:
To find the median of any set of numbers, put them in order from smallest to greatest. If a number occurs more than once, list it more than once. The number in the middle is the median. If there is an even number of numbers, the median is the average of the two numbers in the middle. For your first example, we line them up: 3, 6, 6.
Answer:
Set them from least to greatest and remove one from each side until you find the middle number! If you're left with 2, add them both and divide by 2.
Step-by-step explanation:
What does X equal?? Please help me out!!
Answers
What is the y-value when x equals - 12?
y = -200 - 6(x)
Enter the correct answer
Answers
Answer:
y = -6x - 200
Step-by-step explanation:
Rearrange the equation so q is the independent variable.
9q-4=3r-6
r = __
Answers
Answer:r=3q+2/3
Step-by-step explanation:
Step 1: Flip the equation.
3r-6=9q-4
Step 2: Add 6 to both sides.
3r-6+6=9q-4+6
3r=9q+2
Step 3: Divide both sides by 3.
3r/3=9q+2/3
r=3q+2/3
Hopefully it’s right
Rearranging the equation, so q is the independent variable as r=(9q+2)/3.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 9q-4=3r-6.
Now, 9q-4+6=3r
3r=9q+2
r=(9q+2)/3
Therefore, rearranging the equation, so q is the independent variable as r=(9q+2)/3.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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Add. Enter your answer in scientific notation.
2.25 x
108 +3.50 x 108 +2.25 x 108 =
Answers
Answer:
8×10⁸
Step-by-step explanation:
2.25×10⁸ +3.50×10⁸ +2.25×10⁸ = (2.25 +3.50 +2.25)×10⁸ = 8×10⁸
__
Your calculator can do this for you and display the result in scientific notation.
PLEASE HELP?
In a bad news message, the reasons for the decision
A: should be long and roundabout to cushion the negative aspects.
B: are so obvious that you don't need to mention them.
C: come directly after the buffer and follow naturally from it.
D: should be glossed over quickly.
Answers
read between the lines
Find the value of x.
Answers
Answer:
x = 61
Step-by-step explanation:
x and 29 are complementary angles so they add to 90 degrees
x+29 = 90
Subtract 29 from each side
x+29-29 = 90-29
x = 61
Answer:
61 degrees = x
Step-by-step explanation:
Since angle measures x and 29 are complementary angles, subtract 29 from 90 degrees.
90 - 29 = 61 degrees is the value of x
Simplify 9 over quantity of 3 minus 2 i
Answers
Answer:
27/13+18/13i
Step-by-step explanation:
9/(3-2i)
=9(3+2i)/(3-2i)(3+2i)
=9(3+2i)/13
=27/13+18/13i
I hope this helped and have a good rest of your day!
In a survey of 100 people, 65 read daily newspaper, 45 read weekly newspaper,40 read monthly news paper, 25 read daily as well as Weekly, 20 read daily as well as monthly and, 15 read at least one type of newspaper find..
*How many people read all three types.
*The Number of people who read exactly two news paper.
Answers
Answer 5
Step-by-step explanation:
Step-by-step explanation:
the solution is impossible since 15 read at least one type of them
BRAINLIEST this is a really hard question and i just cant figure it out, can someone please help me
What is 0 + 0 - 0 / 0 = 0 + 0 / 0
i cant figure it out lol
Answers
Answer:
so first, 0 can't be divisible
but whatever,
0 + 0=0
0-0=0
0/0=0 = 0+0=0/0=0
so the answer will stay the same, which is 0.
lol, hope that helps, dude/dudess.
Answer:
0
Step-by-step explanation:
because
0+0=0
0-0=0
0÷0=0
0×0=0
write an algebraic expression for 2 less than twice a n
Answers
Answer:
(2(an))-2
Step-by-step explanation: