What are the rules of trichotomy???
Answer:
Step-by-step explanation:
The answer is in the attachment.
Besides this, there are more rules of trichotomy.
Answer:
Let us consider any two numbers 6 and 9 then we have the relation.
[tex] \gray{ \frak{9 > 6 \: \: \: or \: \: \: 6 < 9}}[/tex]
Rule 1.
Adding 2 on both sides then;
[tex] \frak{ \gray{9 + 2 > 6 + 2 \: \: \: or \: \: \: 6 + 2 < 9 + 2}}[/tex]
[tex]\frak{ \gray{ \therefore \: 11 > 8 \: \: \: or \: \: \: 8 < 11}}[/tex]
Both are true for addition.
Thus,when equal number is added to both sides of trichotomy symbol,the symbol remains the same.
Rule 2.
Subtracting 2 on the both sides then,
[tex]\frak{ \gray{9 - 2 > 6 - 2 \: \: \: or \: \: \: 6 - 2 < 9 - 2}}[/tex]
[tex]\frak{ \gray{\therefore \: 7 > 4 \: \: \: or \: \: \: 4 < 7}}[/tex]
Both are true for subtraction.
Thus,when equal number is subtracted to both sides of trichotomy symbol,the symbol remains the same.
Rule 3.
Multiplying both sides by 2 then,
[tex]\frak{ \gray{9 \times 2 > 6 \times 2 \: \: \: or \: \: \: 6 \times 2 < 9 \times 2}}[/tex]
[tex]\frak{ \gray{ \therefore \: 18 > 12 \: \: \: or \: \: \: 12 < 18}}[/tex]
Both are true for multiplication by positive numbers.
But if we multiplied by -2 then there will be,
[tex]\frak{ \gray{ - 18 > - 12 \: \: \: or \: \: \: - 12 < - 18}}[/tex]
These are not true.
To be true,there must be:
[tex]\frak{ \gray{ - 18 < - 12 \: \: \: and \: \: \: - 12 > - 18}}[/tex]
Thus,when both sides of trichotomy symbol are multiplied by equal positive number then the symbol remains the same.When both sides of trichotomy symbols are multiplied by equal negative numbers then the symbol changes as follows:
'<' Changes to'>' and '>' Changes to'<'.
Similarly check for division then get the same result as in multiplication.
Thus,when both sides of trichotomy symbol are divided by an equal positive number, the symbol remains the same.When both sides of trichotomy symbol are divided by an equal negative number,the symbol '<' is changed to'>' or '>' is changed to'<'.
[tex]\boxed{\frak{\gray{BrainlyFairy}}}[/tex]
Lura’s chocolate bar is 71% cacoa. If the weight of the chocolate bar is 58 grams, how many grams of cocoa does it contain? Round your answer to the neares
tenth
A bucket can hold 5 gallons of water. About how many liters of water can the bucket hold? Round to the nearest tenth.
what's up? 5 gallons ≈ 19 liters (THIS IS U.S. GALLON, THE OTHER ANSWER HAS IMPERIAL GALLON IF THAT IS WHAT YOU NEED)
best of luck with your studies
A baby cardinal weighs about 4.3 grams at birth. After 4 days it is 3.4 times as heavy. How much does it weigh after 4 days?
If (3, y) lies on the graph of y = -(2^x), then y =
-8
1/8
-6
MAX POINTS!
Find the area of a triangle bounded by the y axis, the line f(x)=10-3/4x, and the line perpendicular of f(x) passes through the origin.
Answer:
[tex]\frac{200}{3}[/tex] square units
Step-by-step explanation:
Knowing the function and that the triangle is formed by both the x and y-axis, you already have the triangle's height, which is 10 (the y-intercept of the functon) To find the base length, all you have to do is find the x-intercept. To do that, simply:
Set function equal to 0 and solve for x:
f(x) = 10 - [tex]\frac{3}{4}[/tex] x
0 = 10 - [tex]\frac{3}{4}[/tex] x
[tex]\frac{3}{4}[/tex] x = 10
x = [tex]\frac{40}{3}[/tex]
This means that the base length of the triangle is also [tex]\frac{40}{3}[/tex]. Now that you have the height and base length, you can
Plug values into the formula for the area of a triangle:
The area of a triangle is [tex]\frac{1}{2}[/tex] × height × base
Height = 10, base = [tex]\frac{40}{3}[/tex]
Area = [tex]\frac{1}{2}[/tex] × 10 × [tex]\frac{40}{3}[/tex]
Area = 5 × [tex]\frac{40}{3}[/tex]
Area = [tex]\frac{200}{3}[/tex]
How to find value p and q
Answer: (p, q) = (3, 2)
Step-by-step explanation:
So we get that g(f(x)) = p(1-x)^2 + q = p(x^2 - 2x + 1)+q = px^2 - 2px + p+q.
Matching coefficients, we get that p=3, -2p=-6, and p+q=5.
It follows that p=3 and q=2.
what is NE? Enter your answer in the box
PLSSS HELP DO 2.4.6 I will GIVE BRAINLIST ITS DO TMR
Answer:
2) 13/15
4) 11/12
6) 11/12
Answer:
#2)
To add fractions, we have to find the common denominator between the two fractions. For this one, it is 15; 5 has the least common multiple of 15 which shares with 3. So in order to make the first fraction have the denominator of 15, we have to multiply the numerator and the denominator by 3. We get 3/15. For the second, we have to multiply the numerator and denominator by 5. We get 10/15. Now that we have fractions with the same denominators, we just add the numerators together and then simplify. 3 + 10 = 13.
1/5 + 2/3 = 13/15
#4) & #6)
Repeat the above steps for each fraction to solve.
4) 11/12
6) 11/12
please help. on zearn find the coordinates of each shape
Answer:
◯ ( 3, [tex]\frac{1}{2}[/tex] ) , ⬛( [tex]1\frac{1}{2}[/tex] ,[tex]2\frac{1}{2}[/tex]) , △( 0, [tex]4\frac{1}{2}[/tex] )
Step-by-step explanation:
x-coordinate y-coordinate
◯ --- 3 [tex]\frac{1}{2}[/tex]
⬛ --- [tex]1\frac{1}{2}[/tex] [tex]2\frac{1}{2}[/tex]
△ --- 0 [tex]4\frac{1}{2}[/tex]
Measure the unit grids on the graph, x and y, that's the x and y coordinate.
The price of an item has risen to $81 today. Yesterday it was $60. Find the percentage increase
Answer:
35% increase
Step-by-step explanation:
81 - 60 = 21
21/60 = 0.35
0.35 x 100% = 35%
= 35% increase
plsss help!!!!! #5 #6
Step-by-step explanation:
#5Area of parallelogram:
A = bh = 4*5 = 20 in²#6Area of trapezoid:
A = 1/2(b₁ + b₂)h = 1/2(6 + 14)*8 = 80 in²[tex]\bold{\huge{\blue{\underline{ Solution \:5 }}}}[/tex]
We have given ,
The height of the parallelogram and the base of the parallelogram is 5in. and 4 in.We know that,
[tex]\sf{\pink{ Area\: of\: parallelogram = Base × Height }}[/tex]
[Parallelogram is a polygon which having opposite sides parallel to each other and the length and breath of the parallelogram are equal ]
Subsitute the required values in the above formula :-
[tex]\sf{ Area\: of\: parallelogram = 4 × 5 }[/tex]
[tex]\sf{ Area\: of\: parallelogram = 20 in. }[/tex]
Hence, Area of parallelogram is 20 inch
[tex]\bold{\huge{\blue{\underline{ Solution\: 6 }}}}[/tex]
We have given here,
The height of the trapezium is 8 in and the length of 2 parallel side is 6 in. and 14 in.We know that,
[tex]\sf{\pink{ Area\: of\: trapezium = 1/2 ×(a + b) × Height }}[/tex]
[Trapezium is figure that having two parallel sides and 2 non - parallel sides. ]
Subsitute the required values in the above formula :-
[tex]\sf{ Area\: of\: trapezium = 1/2 ×(6+14)×8 }[/tex]
[tex]\sf{ Area\: of\: trapezium = 1/2 × 20 × 8 }[/tex]
[tex]\sf{ Area\: of\: trapezium = 10 × 8 }[/tex]
[tex]\sf{ Area\: of\: trapezium = 80 in. }[/tex]
Hence, Area of trapezium is 80 inch.
The sum of two integers is 46. The larger is 16 more than four times the smaller. Find
the two integers.
Answer:
40 and 6
Step-by-step explanation:
The length of a rectangle is 3 metern .
more than triple the width
3. The sum of two numbers is at least 8, and the sum of one of the numbers and 3 times the
second number is no more than 15.
Graft
Answer:
Nope
Step-by-step explanation:
Sum of 2 numbers 4 +4 is at least 8 and the sum of of one of the numbers 2 + 2 and 2 + 3 x4. = 14
simplify 4a²+1/3a+5+a²+4+1/3a
Answer:
[tex]5a^2+\frac{2a}{3} + 9[/tex]
Step-by-step explanation:
Refer to file. Trying something different. Should be easier to read than text format and is easier than mathML.
Kim says that multiplying 1/4 x 12 is the same as dividing 12 by 4.Do you agarre with kim?
Answer:
I do not agree with Kim.
Step-by-step explanation:
1/4 x 12 = 3
12 x 4 = 48
3 and 48 are not equal, therefore they are not the same, so I do not agree with Kim.
Hope this helps:)
need help!?!!! pls thx
PLZ HELP ILL MARK AS BRAINLIETS
Answer:
45ft²
Step-by-step explanation:
4 [ 2(6ft × 1.5ft) ÷ 2 ] + ( 3ft × 3ft )
= 4 [ 2(9) ÷ 2 ] + ( 3ft × 3ft )
= 4 [ 18 ÷ 2 ] + ( 3ft × 3ft )
= 4 ( 9 ) + ( 9 )
= 36 + 9
= 45ft
2/3+1/4 in simplest form
Hey there!
2/3 + 1/4
= 2 × 4/3 × 4 + 1 × 3/4 × 3
= 8/12 + 3/12
= 8 + 3 / 12 + 0
= 8 + 3 / 12
= 11/12
Therefore, your answer is: 11/12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
PLEASE SHOW WORK I WILL GIVE BRAINLY Kira's skateboard is 71 centimeters long. What is the length of her skateboard in millimeters? SHOW YOUR WORK PLEASE
Answer:710
Step-by-step explanation:
1 centimeter is 10 millimeters so 71 times 10 is 710
Answer:
710mm
Step-by-step explanation:
1 centimeter is equal to 10 millimeters:
[tex]1cm=10mm[/tex]
The distance d in millimeters (mm) is equal to the distance d in centimeters (cm) times 10:
[tex]d_{mm} =d_{cm}*10[/tex]
71cm × 10
= 710mm
3x² + 3y² + 6x - 12 y = 6
Convert to standard form
Answer:
(y+2)²-(x+1)²/1=1
Step-by-step explanation:
No Clue what this is so I looked it up✓
Annika needs to sell at least 25 boxes of Girl Scout cookies to get a new badge she has already sold 4 boxes how many more does she need to sell
one step inequality word problems
(post deleted by author)
Is everything to the power of 0 = 1?
examples:
[tex]1^{0}, 2^{0}, 3^{0} .....[/tex]
Hey there!
Any numbers that is to the power of 0 is 1 because it’s just like the product just without any numbers that are given. Therefore, to answer your question: YES
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
• Riley and her sister collect stickers. Riley has 220 stickers
in her sticker collection. Her sister has 55 stickers in her
collection. Riley has how many times as many stickers as
her sister? Use mental math or the guess, check, and
revise strategy to solve the equation 55x = 220.
Answer:
Riley has 4 times the amount of stickers her sister has
Step-by-step explanation:
220 divided by 55 is 4
Mahra walks 5/8 of a kilometer to school. Mariam walks 3/8 of a kilometer to school.
How much farther does Mahra walk than Mariam?
Answer:
2/8 farther than Mariam
Step-by-step explanation
mahra walks 5/8 km
Mariam walks 3/8 km
therefore, to know how many km mahra walks farther than mariam.
5/8-3/8
Gabriels spent $83.97 on three jackets. Each jacket costs the same amount. Write an algebraic equation to show the cost of one
jacket.
Total cost = number of jackets bought x price per jacket.
83.97 = 3x
Divide both sides by 3
X= 83.97/3
X = 27.99
price per jacket = $27.99
Need help! I’m confused so pls answer ASAP!
Answer:
oh shoot just do what you do to find the angles. all of them add up to 180 degrees
Step-by-step explanation:
6h + 16 = 46
Evaluate the equation
Answer:
h=5
Step-by-step explanation:
Answer:
6h +16 =46
6h +16-16
6h =30 6h ÷6 =30÷6
h =5
The accompanying data represent the wait time (in minutes) for a random sample of forty visitors to an amusement park ride. Complete parts (a) and (b).
Step-by-step explanation:
So basically when you have to calculate the quarters you need to first of all the data. So this modern number first and then so in this case will be 000 and so on. Then you have to find the position. So in this case you have Around 40 value. So In this case for example the first one will be the 10th value in this case. Day 20th In this case the 30th. So for example 25% of the data of the first party will be until six. So you know 25% of the others will be six or below six. 50% of the data will be in the 20th position. So it will be below nine Or nine and 75% of data will be below or equal to 16. 16. Anything couple of 16 will be in the top 25% and those are dancers. So this is a quick summary. Remember that you find these values When you calculate the 75% position. That in this case because you have 40 values that will be 30%. For the second quarter will be the 50% and for the first quarter will be the 25%. How do you know that? 1st? You need to sort all the data. So the first smallest bodies will be here from smaller to larger and then you find the relative position paid on this percentage.