Answer:
[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{4}[/tex]=[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
This sentence isn't always true.
here is a counter example :The trick is to use fractional numbers .
[tex]\frac{1}{2}[/tex] ×[tex]\frac{1}{4}[/tex] = [tex]\frac{1}{8}[/tex]let's analyse this example :
[tex]\frac{1}{2}[/tex][tex]\geq[/tex][tex]\frac{1}{8}[/tex] and [tex]\frac{1}{4}[/tex][tex]\geq[/tex][tex]\frac{1}{8}[/tex]1/2=0.5 and 1/4=0.25 but 1/8=0.125
0.125<0.25<0.5
here is another example : (1/2)*(1/3)=1/6the same thing : 1/6<1/3<1/2The product of two positive numbers is less than either number i.e. 4 × (1/2) = 2 < 4 which counterexample shows that the conjecture is false.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.
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.
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
We have been that conjecture "The product of two positive numbers is always greater than either number."
As per the given condition,
For example: 4 × (1/2) = 2 < 4
Therefore, the product of two positive numbers is less than either number i.e. 2 < 4.
Hence, the above counterexample shows that the conjecture is false.
Learn more about the number system here:
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For which quadratic equation is the axis of symmetry x = 3
a. y = -x2 + 3x + 5
b. y = -x2 + 6x + 2
c. y = x2 + 6x + 3
d. y = x2 + x + 3
Answer:
b) y = -x2 + 6x + 2
Step-by-step explanation:
how to find the angel in trigonometry when all the lengths of the right angled triangle already given.
Answer:
The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle
Use rule ; SOHCAHTOA .Where sin x = opp/hyp
cos x = adj/hyp
tan x= opp/adj
Substitute the given values for the three sides
into any of the above rules
[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]
Step-by-step explanation:
I Hope It Helps :)
Julio’s rotation maps point K(–6, 9) to K’(9, 6). Which describes the rotation? A. 90 degrees clockwise rotation B. 180 degrees rotation C. 90 degrees counterclockwise rotation D. 270 degrees clockwise rotation
Answer:
The correct option is;
A. 90 degrees clockwise rotation
Step-by-step explanation:
From the given information, we have;
The coordinates of the pre-image is K(-6, 9)
The coordinates of the image is k'(9, 6) which is similar to a transformation of a pre-image of (x, y) to an image of (y, -x)
The transformation from (x, y) to (y, -x) can be obtained from either;
1) A rotation of 90° (clock wise)
2) A rotation of 270° counter clockwise
Therefore, the correct option that maps K(-6, 9) to K'(9, 6) is a 90 degrees clockwise rotation.
Answer: The person above me is correct! A. 90 degrees clockwise rotation
Step-by-step explanation:
Bill drives 2 hours at a speed of 60 mph (miles per hour). Afterwards, he drives for 4 hours at a speed of 75 mph. What is his average
speed over the 6 hours that he spent driving
Answer:
70 mph
Step-by-step explanation:
Here we want to calculate average speed
Mathematically, average speed = Total distance/Total time
Kindly recall distance = speed * time
for the first part;
We have: 60 * 2 = 120 miles
For the second: 4 * 75 = 300 miles
Average speed = (300 + 120)/(4 + 2) = 420/6 = 70 mph
If ABC is similar to DEF, what is the area of ABC? A. 48 square meters B. 54 square meters C. 60 square meters D. 72 square meters
Answer:
B. 54 square meters
Step-by-step explanation:
by similarity;
[tex]\frac{|AB|}{|DE|}=\frac{|BC|}{|EF|} \\ \\\frac{12}{4}=\frac{|BC|}{3} \\\\|BC|=9\\[/tex]
Area of ABC equal to 12.9/2=54
If you don't understand, you can ask me :)
de un tanque lleno de agua se utiliza la cuarta parte para lavar ropa, los 5/ 6 del resto para cocinar y aun quedan 100 litros de agua ¿ cuantos litros de agua tenia el tanque?¿ cuantos litros de agua se utilizan para cocinar?
Answer:
a. 800 litros
b. 500 litros
Step-by-step explanation:
Aquí, se nos dice que 1/4 del total se usa para lavar la ropa.
Lo que queda sería 1-1 / 4 = 3/4 Fuera de esto, 5/6 se usa para cocinar.
La fracción utilizada para cocinar es 5/6 * 3/4 = 15/24 = 5/8
Y todavía nos quedan 100 litros.
La cantidad utilizada ya sería 1/4 + 5/8 = (2 + 5) / 8 = 7/8
Entonces la fracción no utilizada = 1-7 / 8 = 1/8
Ahora, es este 1/8 que corresponde a 100 litros.
Digamos que el volumen total es x litros inicialmente, Eso significa 1/8 * x = 100 x / 8 = 100 x = 800 litros
La fracción utilizada para cocinar es 5/8 del total, por lo que el valor sería 5/8 * 800 = 500 litros
Which situation would be represented by zero? An altitude of 37 feet. An altitude of 7 meters below sea level. An altitude of 8 meters above sea level. An altitude at sea level.
Answer: an altitude at sea level
Yasmin bought several items at the discount store. She paid 8.75 percent sales tax, an amount of $4.59, on the total amount of her purchase. What was the total amount of her purchase before tax was added? $40.16 $52.46 $190.63 $401.63
Answer:
$52.46
Step-by-step explanation:
We are told that ...
8.75% · purchase = $4.59
Dividing by the percentage, we have ...
purchase = $4.59/0.0875 = $52.46
Yasmin's pre-tax total was $52.46.
Answer:
the correct answer is b aka 52.46
The value of a car depreciates by 35% each year
At the end of 2007 the value of the car was £5460
Work out the value of the car at the end of 2006
Answer:
£8400
Step-by-step explanation:
(-3)(-2)[-4-(-2)]
Slove the problem
Answer:
-12
Step-by-step explanation:
(-3)(-2)[-4-(-2)]
6[-4-(-2)]
6[-2]
-12
Chris had a piece of rope that was 15 inches long. He wanted to cut the rope into pieces that were each 3/5 of an inch long. How many pieces of rope can he cut from the original rope?
Hey there! :)
Answer:
25 pieces.
Step-by-step explanation:
To solve for the amount of pieces that can be cut, we must divide fractions:
15 ÷ 3/5 = x
When dividing fractions, you must multiply by the reciprocal. Therefore:
[tex]\frac{15}{1}* \frac{5}{3} = \frac{75}{3} = 25[/tex]
Therefore, 25 pieces can be cut.
Answer:
25 3/5 inch long pieces
Step-by-step explanation:
If you have 15 inches and you cut it into less than inch pieces, you know for sure that it will be more than 15 but less than 30 because the peices are more than half an inch.
to find the answer, you divide 15 by 3/5 because each piece is 3/5 inches long
when you put this into a calculator 15/(3/5) you will get the answer 25.
So, ANSWER = 25 pieces of rope that are 3/5 inches long
Hope this helps and you will understand if you face a problem similar to this :)
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 1/8. There are 56 marbles in the bag and each is equally likely to be chosen. Work out how many red marbles there must be
Answer:
7 red marbles
Step-by-step explanation:
P( red) = red marbles / total marbles = 1/8
We know there are 56 marbles
red marbles/56 = 1/8
Multiply by 56
red marbles = 1/8 *56 = 7
There are 7 red marbles
Please help me I will mark BRAINLIST :))))
Answer:
47%
Step-by-step explanation:
The total number of student is 4+6+2+2+3+4+6+3 = 30 students
P( male) = male / total
= (4+6+2+2)/ total
=14/30
=.466666666
46.66666%
To the nearest whole percent
47%
I NEED HELP PLEASE! THANKS :)
Answer:
A
Step-by-step explanation:
First, let's do the difference of two squares:
[tex](1-cos^4(\theta))=(1-cos^2(\theta))(1+cos^2(\theta))[/tex]
Note that [tex]sin^2(\theta)=1-cos^2(\theta)[/tex] (Pythagorean Identity)
Thus, we can substitute:
[tex]sin^2(\theta)(1+cos^2(\theta))[/tex]
Now, and I'm serious, you just have to use your creativity. After a while, you will find that:
[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]
So:
[tex]1+sin^2(\theta)+cos^2(\theta)=1+1[/tex]
Thus, we have [tex]1+cos^2(\theta)=2-sin^2(\theta)[/tex]
Now, we can substitute:
[tex]sin^2(\theta)(2-sin^2(\theta))=2sin^2(\theta)-sin^4(\theta)[/tex]
HELP PLZZZZZZZZZ!!!!!!!
please fill in the final row (x)
Answer:
x = 11
Step-by-step explanation:
The Frequency column has to total 50 ( number of rolls on dice )
Thus total the given frequencies and equate to 50, that is
12 + 8 + 7 + 3 + 9 + x = 50
39 + x = 50 ( subtract 39 from both sides )
x = 11
Answer:
x=11
Step-by-step explanation:
12+8+7+3+9=39
50-39= 11
assume that y varies inversely with x. if y = 8 when x = 1.55, find x when y = -0.62
Answer:
y varies inversely with x is written as
y = k /x
where k is the constant of variation
y = 8 x = 1.55
8 = k / 1.55
Multiply through by 1.55
k = 12.4
The formula is
y = 12.4 / x
when y = - 0.62
- 0.62 = 12.4/x
- 0.62x = 12.4
Divide both sides by - 0.62
x = 12.4/-0.62
x = - 20
When y = - 0.62 x = - 20
Hope this helps
PLZ HELP ME I NEED THIS FAST WILL GIVE BRAINLIEST
Step-by-step explanation:
The formula the amusement parc use is 100y-39000=55(x-800)
The slope intercept form of a function is wriiten generally as:
y = mx+c
m is a slope c is a constant and represents the y-intercept x is a variable y is the input of the functionLet's rewrite our equation in the precedent form
100y-39000 = 55(x-800)100y -39000 = 55x-44000 add 39000 in both sides100y-39000+39000 = 55x-44000+39000100y = 55x-5000 divide both sides by 100y = 0.55x-50The slope intercept form of this equation is:
y= 0.55x-50
Answer:
y=55x+38992
Explanation:
You have to turn the equation into the form y=mx+b
Step 1: Get y by itself(divide both sides by 100)
100y-39,000=55(x-800)
100/100y-39,000=55(x-800)/100
y-39,000=55(x-800)/100
Step 2: Get y by itself(+ 39000 to both sides)
y-39,000=55(x-800)/100
+39,000=55x-800/100+39,000
y=55x-800/100=39,000
Step 3: Simplify
y=55x+38992
Find the area of the shaded region where a = -1.88 and b = 2.12. Note: the graph may not be drawn to scale. Write only a number as your answer. Round to 4 decimal places (for example 0.6148). Do not write as a percentage. (picture in attachment)
Answer:
0.0471
Step-by-step explanation:
Here, we want to find the area of the shaded region.
The area of the shade region = 1- area of the unshaded region
The area of the unshaded region is as follows;
P(b) - P(a)
and that is;
P(-1.88<x<2.12) = 0.95294 from z table
So the area of the shaded region = 1-0.95294 =
0.04706 = 0.0471 to 4 d.p
The hamster had a wheel to run on, but Claire wondered how many lines of symmetry the wheel had. What is the approximate number of lines of symmetry on the hamster's wheel? A. 0 B. 2 C. 4 D. infinite number
Answer:
D - Infinite
Step-by-step explanation:
A Wheel is a circle and if we look at a circle's structure, we see it is always symmetric as long as it is divided from the center in any direction.
PLEASE MARK AS BRAINLIEST
Answer:
d
Step-by-step explanation:
have a good day
What is the positive solution of x? - 36 = 5x?
Step-by-step explanation:
if you meant
x²-36=5x:
x²-5x-36=0
(x-9)(x+4)=0
x = 9 and x = -4
you want the positive one, so 9
Given: Parallelogram LMNO; MO ⊥ LN Prove: LMNO is a rhombus. Parallelogram L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. A square is drawn around point P. Sides L M and O N are parallel and sides L O and M N are parallel. ♣: ♦: ♠: I WILL GIVE BRAINLIEST PLS ANSWER
The proofing is as follows:
Given that,
|LO|=|MN| and |LM|=|ON|
It means that Opposite sides of a parallelogram are equa
Now, LN⊥OM
So,
∠LPO = ∠NPO = 90° ( by definition of perpendicular lines)
LPO ≅ ∠NPO (by definition of congruent angles)
|LP|=|PN| (diagonals of a parallelogram bisect each other)
based on this LMNO is a rhombus
Learn more: https://brainly.com/question/10046743?referrer=searchResults
Answer:
All right angles are congruent
Reflexive property
Opposite sides of a parallelogram are congruent
Step-by-step explanation:
That what i got on my assignment
For what values (cases) of the variables the expression does not exist: [tex]\frac{3}{4y+2}[/tex]
Answer:
y = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{4y+2}[/tex]
The denominator of the expression cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that y cannot be, that is
4y + 2 = 0 ( subtract 2 from both sides )
4y = - 2 ( divide both sides by 4 )
y = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex] ← excluded value
Given ∠R ≅ ∠T and ∠E ≅ ∠A, what other information is needed to prove ΔRED ≅ ΔTAN by AAS? a RE ≅ TA b RD ≅ TN c ∠D ≅ ∠N d None of these choices are correct.
Answer:
d None of these choices are correct.
Step-by-step explanation:
In ΔRED and ΔTAN
∠R ≅ ∠T... (given)
∠E ≅ ∠A... (given)
ED ≅ AN... (required)
Therefore, ED ≅ AN is needed to prove ΔRED ≅ ΔTAN by AAS Postulate.
hola me podrian ayudar
Answer:
I think the answer is m= 26x+1
I'm not a 100% sure
Step-by-step explanation:
m=25x + 9x - 8x +1
Please help quicklyyy!Zachary sold his stock in a computer company. He received $34 per share. This was $8 less
than twice what he paid for it. What was the price of the computer stock per share when he
bought it?
Answer:
Hey there!
Let x be the price he paid for.
2x-8=34
2x=42
x=21
He bought the stock for 21 dollars.
Hope this helps :)
Answer:
The price per share when he bought it was 21
Step-by-step explanation:
Let x = price he paid for the stock
34 = 2x-8
Add 8 to each side
34+8 = 2x-8 +8
42 = 2x
Divide by 2
42/2 = 2x/2
21 = x
The price per share when he bought it was 21
To solve 6x=30, Keith divided both sides of the equation by 6. Which property justify this step
Answer:
6x to find x on it's own you need to divide by the number infront,
Step-by-step explanation:
Please help me :(((((((((((( Thank youuuu !!!
Answer:
455
Step-by-step explanation:
what is;
3x + 5x+(3+2)
Answer:
8x + 5
Step-by-step explanation:
3x + 5x+(3+2)
Combine like terms
8x + 5
Answer:
8x+5
Step-by-step explanation:
This is a expanded expression so all you have to do is simplify.
Combine like terms:
3x + 5x = 8x
3+2=5
Therefore your answer is 8x+5
Hope this helps!
Pleas answer this question now fast in two minutes
Answer:
3
Step-by-step explanation:
Adjacent angles have a common side and no common interior points.