What is the absolute value of 0?

Answers

Answer 1

It's 0.

By definition, the absolute value of a number [tex]x[/tex] is

[tex]|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x<0\end{cases}[/tex]

so it follows that |0| = 0.

Intuitively, the quantity [tex]|a-b|[/tex] can be thought of as "the distance between the numbers [tex]a[/tex] and [tex]b[/tex] on the real line". If [tex]a=b=0[/tex], asking about |0| is the same as asking "how far away is 0 from 0 on the number line?" to which we answer, 0.

Answer 2

The absolute value of any number is the positive version of that number.

However, there is an exception which I have provided in the image attached.

What Is The Absolute Value Of 0?

Related Questions

Draw a visual model to represent the following expectation: 5/6 divide by 3

Answers

Check the picture below.

The expression 8x+2 factored using GCF

Answers

Answer:

2* (4x + 1)

Step-by-step explanation:

8x = 2 * 2 *2 * x

2 = 2* 1

GCF = 2

8x+2  =  2*2*2*x + 2*1 = 2* (4x + 1)

The sale price of a swimming pool after 16.5% discount $1135.60. Find the original price of the pool

Answers

well, let's say the original price is "x", and thus is also the 100% price of the item, however the item is discounted by 16.5%, well 100% - 16.5% = 83.5%, so then the discounted price is really the 83.5% of the item, and we know that is $1135.60.

now, if 1135.60 is 83.5%, what is the 100% or namely "x"?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 1135.60&83.5\\ x&100 \end{array}\implies \cfrac{1135.60}{x}=\cfrac{83.5}{100}\implies 113560 = 83.5x \\\\\\ \cfrac{113560}{83.5}=x\implies 1360 = x[/tex]

The original price of the swimming  pool $1,360.

Original pool price=x

Percent discount=16.5% or 0.165

Sale price=$1135.60

Hence:

x-0.165(x)=$1135.60

x(1-0.165)=$1135.60

0.835x=$1135.60

Divide both side by 0.835x

x=$1135.60/0.835

x=$1,360

Inconclusion the original price of the swimming  pool $1,360.

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Let [tex]i[/tex] be the imaginary unit.

What complex number in standard form does the following simplify to:

[tex]i^{425}+i^{14}+i^{-14}+i^{44}[/tex]

Basically you are being asked to find A and B such that the following equality holds for real values A and B:
[tex]A+Bi=i^{425}+i^{14}+i^{-14}+i^{44}[/tex]

You must show all work.
Have fun.

Answers

[tex]Hey~freckledspots!\\----------------------[/tex]

[tex]We~will~solve~for~i^{425}![/tex]

[tex]Rule~of~exponent: a^{b + c} = a^ba^c\\Apply:~i^{425}~=~i^{424}i\\ \\Rule~of~exponent: a^{bc} = (a^{b})^c\\Apply: i^{424} = i(i^2)^{212} \\\\Rule~of~imaginary~number: i^2 = -1\\Apply: i(i^2)^{212} = -1^{212}i\\\\Rule~of~exponent~if~n~is~even: -a^n = a^n\\Apply: -1^{212}i = 1^{212}i\\\\Simplify: 1^{212}i = 1i\\Multiply: 1i * 1 = i\\----------------------\\[/tex]

[tex]Now~let's~solve~1^{14}!\\\\Rule~of~exponent: a^{b + c} = a^ba^c\\Apply: i^{14} = (i^2)^7\\\\Rule~of~imaginary~number: i^2 = -1\\Apply: (i^2)^7 = -1^7\\\\Rule~of~exponent~if~n~is~odd: (-a)^n = -a^n\\Apply: -1^7 = -1^7\\\\Simplify: -1^7 = -1\\----------------------\\Now,~we~have: i-1+i^{-14}+i^{44}\\----------------------[/tex]

[tex]Now~lets~solve~i^{-14}\\\\Rule~of~exponent: a^{-b} = \frac{1}{a^b} \\Apply: i^{-14} = \frac{1}{i^{14}} \\\\Rule~of~exponent: a^{bc} = (a^b)^c\\Apply: \frac{1}{i^{14}} = \frac{1}{(i^2)^7}\\ \\Rule~of~imagianry~number: i^2 = -1\\Apply: \frac{1}{(i^2)^7} = \frac{1}{-1^7} \\\\Simplify: \frac{1}{-1^7} = \frac{1}{-1} \\\\Rule~of~fractions: \frac{a}{-b} = -\frac{a}{b} \\Apply: \frac{1}{-1} = -\frac{1}{1} = -1\\----------------------\\Now,~we~have: i-1-1+i^44\\----------------------[/tex]

[tex]Now~let's~solve~i^{44}!\\\\Rule~of~exponent: a^{bc} = (a^b)^c\\Apply: i^{44} = (i^2)^{22}\\\\Rule~of~imaginary~numbers: i^2 = -1\\Apply: (i^2)^{22} = -1^{22}\\\\Rule~of~exponent~if~n~is~even: (-a)^n = a^n\\Apply: -1^{22} = 1^{22}\\\\Simplify: 1^{22} = 1\\----------------------\\Now,~we~have~i-1-1+1\\----------------------[/tex]

[tex]Now~let's~simplify~the~expression!\\\\= i-1-1+1 \\= 1 + i -2\\= -1+i\\----------------------[/tex]

[tex]Answer:\\\large\boxed{-1+i}\\----------------------[/tex]

[tex]Hope~This~Helped!~Good~Luck![/tex]

Answer:

[tex]i - 1[/tex]

Step-by-step explanation:

Complex Number System Rules

[tex]\sqrt{-1} = i \\ -1 = {i}^{2} \\ -i = {i}^{3} \\ 1 = {i}^{4} [Every \: multiple \: of \: four][/tex]

The Divisibilty Rule of 4 states that the last two digits of a number must be a multiple of four, so you will have this:

[tex]{i}^{425} + {i}^{14} + {i}^{-14} + {i}^{44} \\ \\ i - 1 - 1 + 1 = i - 1[/tex]

I am joyous to assist you anytime.

Complete each family of facts.
5 5 10​

Answers

Answer:

1,5

1,5 and

1,2,5,10

Step-by-step explanation:

Which of the following appear in the diagram below?
Check all that apply.
A. ZXYZ
B.
c. W
D. ZYXZ

Answers

Please show the diagram so we are a plow to answer

The following is true in the diagram below:

∠XYZ

∠XYW

∠ZYW

[tex]\bar{YX}, \bar{YW}, \bar{YZ}[/tex]

Options A, B, and D are correct.

What is an angle?

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

From the diagram,

There are 3 angles:

∠XYZ

∠XYW

∠ZYW

And,

In geometry, a line that has a starting point and no endpoint is called a ray. A ray is part of a line that starts at a particular point called the endpoint and extends infinitely in one direction.

It is also sometimes referred to as a half-line.

Rays are commonly denoted by an arrow pointing in the direction of the infinite extension, with the endpoint letter given first.

There are 3 rays:

YX, YW, and YZ

Thus,

The following is true:

∠XYZ

∠XYW

∠ZYW

[tex]\bar{YX}, \bar{YW}, \bar{YZ}[/tex]

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HELP PLZ WITH HOMEWORK !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The sum of 3 + (-2) = 1 because it's just like 3 - 2

The sum of -6 + 3 = - 3 because the negative number is greater than positive number it's a negative.

For B you fill in Six negative, -6; three positive, 3. And you are left with three negative counters.

For A you are left with one positve counters.

Write a subtraction problem involving two positive integers with a negative difference. Explain the relationship between the two integers that must exist for the difference to be negative.

Answers

Answer:

When both integers have the same value, the difference is zero. The difference between a positive and a negative integer can be positive or negative. When you subtract a negative integer from a positive integer, the difference is always positive this might help

Step-by-step explanation:

Write a subtraction problem involving two positive integers with a negative difference.

1) When you subtract a positive integer from a negative integer, the difference is always negative.

For example : [tex]-7 - 3 = -10[/tex]

2) When you subtract a larger positive integer from a smaller integer, the difference is always negative.

For example : [tex]5-7=-2[/tex]

3) When you subtract two negative integers and the first integer (or minuend) is smaller than the second integer (or subtrahend), the difference is negative.

For example : [tex]-8 - (-2) = -6[/tex]

Helppppp! Angles PTQ and STR are vertical angles and congruent. Circle T is shown. Line segments T P, T Q, T R, and T S are radii. Lines are drawn to connect the points on the circle and form secants P Q, Q R, R S, and S P. Angles P T Q and S T R are congruent. Which chords are congruent? QP and SR QR and PR and RS PR and PS

Answers

Answer:

[tex]\overline{QP} = \overline{SR}[/tex]

Step-by-step explanation:

Given: ∠PTQ ≅ ∠STR and TP, TQ, TR and TS are radii of the circle.

If  two angle are equal, then they are equal in size and their measurements are equal.

IF ∠PTQ ≅ ∠STR then they are also equal in their measurements.

Now, In ΔPTQ and ΔSTR

∠PTQ ≅ ∠STR  (vertically opposite angle)

[tex]\overline{TQ} \cong \overline{ST}[/tex]  (Radius of the circle are equal and congruent in length)

[tex]\overline{PT} \cong \overline{TR}[/tex]  (Radius of the circle)

∴ ΔPTQ ≅ ΔSTR (SAS postulate)

∴ [tex]\overline{QP}\cong \overline{SR}[/tex] (corresponding sides of congruent triangle are equal  and congruent).

You can use the fact that a closed figure made by connecting the adjacent end points of two equal and intersecting line segment is a rectangle.

Option A:  [tex]\overline{QP} \: \rm and \: \overline{SR}\\[/tex]correct choice since the line segment QP is and line segment SR are congruent.

Given that:

Angles PTQ and STR are vertical angle and congruent.Circle T(centered at T).Line segments TP, TQ, TR, and TS are radii.

How to find which lines are intersecting?

Since angle  PTQ and angle STR are congruent, thus we have:

PR and SQ as straight intersecting lines.

Due to angle PTS and angle QTR are opposite angles made by intersecting lines, we have them as congruent or say of equal measurement.

[tex]\angle PTS \cong \angle QTR[/tex]

Since [tex]\overline{TP} = \overline{TQ} = \overline{TR} = \overline{TS}[/tex], thus we have got:

[tex]\overline{PR} = \overline{SQ}[/tex] in measurement ( as PR is sum of PT and TR and same for SQ)

How is a rectangle made?

"A closed figure made by connecting the adjacent end points of two equal and intersecting line segment is a rectangle", we have PQRS as a rectangle.

As a rectangle have opposite sides parallel and equal, we have got:

[tex]\overline{PQ} \cong \overline{SR}[/tex]

Thus, Option A: [tex]\overline{QP} \: \rm and \: \overline{SR}\\[/tex] is the correct choice since the line segment QP is and line segment SR are congruent.

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A 2-column table with 8 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3, 4. The second column is labeled f of x with entries negative 2, 0, 2, 2, 0, negative 8, negative 10, negative 20. Which could be the entire interval over which the function, f(x), is positive? (–∞, 1) (–2, 1) (–∞, 0) (1, 4)

Answers

Final answer:

The entire interval over which the function, f(x), is positive is from (-2, 1), according to the provided table of function values.

Explanation:

You are asking for the interval over which the function f(x) is positive based on the provided table of values.

A function is positive when its value, represented as f(x), is greater than 0. Looking at the table, f(x) is positive when x is in between -2 and 1. Therefore, the interval over which the function, f(x), is positive is from (-2, 1).

This can be confirmed visually if you were to plot the x-values with their corresponding f(x) values and look for the section of the graph where the curve is above the x-axis (y>0).

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If 120 million roses were sold on Valentine's Day, and 75% of the roses were red, how
many red roses were sold on Valentine's Day? Show your work.

Answers

Answer:

1,600,000

Step-by-step explanation:

120,000,000 divided by 75 is 1,600,000

Answer:

did the math its 90,000,000

thats how much 75% is

Step-by-step explanation:

You buy 50 of your favorite songs from a web site that charges $.99 for each song. What is the cost of 50 songs?

Answers

Answer: $49.5

Step-by-step explanation: If each song costs 0.99 cents then you multiply the number of songs you are buying by the cost. So that would be 0.99×50=49.5

Evaluate the expression when
a=7 and x = -6
a - 2x

Answers

Answer:

19

Step-by-step explanation:

7-2(-6) which would equal 7+12 because negative times negative is positive

Answer: 19

Step-by-step explanation:

7 + [(- 2) (-6)]

-2 * -6 = 12

7 + 12 = 19

Which is a possible benefit of having a good credit history?
having a checking account
low interest rate on a car loan
high interest rate on a credit card offer
bankruptcy

Answers

Answer:

low interest rate on a car loan

Answer:

B. low interest rate on a car loan

I’m doing the Order of operations and I’m asking what 6 x (8-3) - 5^2

Answers

Answer:

6 x 5 - 25 = 30 - 25 = 5

Answer : 5

Step-by-step explanation:

5² = 5 x 5 = 25

What is 12 rounded to the nearest ten

Answers

10 because the number in the ones place is less than 5 which means u would go down to 10

PLEASE ANSWER BOTH ASAP THANKS

Answers

Answer:

a and c

Step-by-step explanation:

Hey!

-----------------------------------------------

Question #3:

The associative property is where you have an equation and you can switch the numbers and it will still equal the same.

Answer: c) (x + 3) + 7 = x + (3 + 7)

-----------------------------------------------

Question #4:

The distributive property is where you have an equation and you multiply each addend and add them up.

Answer: c) distributive

-----------------------------------------------

Hope This Helped! Good Luck!

A function is expressed by the equation y=0.3x−6. For what value of the independent variable will the value of the function be equal to −6; −3; 0?

Answers

Answer:

0; 10; 20

Step-by-step explanation:

x is the independent variable

y is the dependent variable

y is dependent on x

a) For what value of the independent variable will the value of the function be equal to −6

y=0.3x−6

-6 = 0.3x-6

0=0.3x

x = 0

Therefore, if the independent variable is 0, the value of the function will be -6.

b) For what value of the independent variable will the value of the function be equal to −3

y=0.3x−6

-3 = 0.3x-6

0.3x = -3+6

0.3x = 3

x = 3/0.3

x = 10

Therefore, if the independent variable is 10, the value of the function will be -3.

c) For what value of the independent variable will the value of the function be equal to 0.

y=0.3x−6

0=0.3x-6

6 = 0.3x

x = 6/0.3

x = 20

Therefore, if the independent variable is 20, the value of the function will be 0.

A model of a baseball diamond is a square
with a perimeter of 36 in. What is the length
on the model from first base to third base?
(round to the nearest whole number)

Answers

Okay. So let’s break this down. We can solve this problem without a picture because it is a square. Therefore, all sides are the same. There are also four sides on a square. I have two ways to solve this problem.

One:
Divide 36 by 4 to know what each side is. 36/4 is 9. Since we are running from first to third, that is two sections of the field. Half of it. We would multiply 9 by 2. We get 18.

Two:
We know that from first to third is half the field. So we can do 36/0.5. This way, get 18

Answer: 18 inches

write an inequality for each set of numbers on the number line​

Answers

x<-4

x≥-7

-4≤5

i dont think the last one is right

I need answers for b and 4 (: <3

Answers

4: Geraldine wanted custom keychains. The store she went to has a service fee of 5 dollars, then 8 dollars per key chain. Geraldine payed 37 dollars. How many key chains did she buy?

(She bought 4 keychains)

As for b, I need to see question 3 in order to answer

-4p + 19 = 11
please help me due tomorrow

Answers

Answer:

p=2

Step-by-step explanation:

−4p=11−19

−4p=−8

then you divide both sides by -4 and two negatives make a positive.

​​

what is 3/5 + 4/5 can you help me ​

Answers

Answer:

[tex]\frac{3}{5}[/tex] + [tex]\frac{4}{5}[/tex] = [tex]\frac{7}{5}[/tex]

Step-by-step explanation:

Since 3/5 & 4/5 are both over 5 we can add the numbers on the top (numerators) normally while keeping the bottom number (denominator) the same.

[tex]\frac{3}{5}[/tex] + [tex]\frac{4}{5}[/tex] = [tex]\frac{7}{5}[/tex]

11x+19y=
I don't understand this I hate math

Answers

are they asking to graph or just answer it?

Answer:

you can't get an answer from that question unless they are asking you to graph it or something else

What is the least number of transformations performed to create similar rectangle K' from rectangle K?

A. 1; rotation about the origin
B. 2; rotation about the origin, dilation
C. 3; rotation about the origin, translation, dilation
D. 4; reflection across y-axis, dilation, translation, rotation about origin



(not B.)

Answers

Answer:

C. 3; rotation about the origin, translation, dilation

Step-by-step explanation:

The first obvious step is to rotate it 270° counterclockwise [90° clockwise], next you translate it, then you dilate [long and wide].

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

C

Step-by-step explanation:

5z ^ 3 - 2z ^ 4 - 9z ^ 2 + z What is the degree of the polynomial ?

Answers

Answer:

Step-by-step explanation:

For any polynomial, we can determine the degree by finding the variable with the largest exponent. For the given polynomial:

[tex]5z^{3} - 2z^{4} -9z^{2} + z[/tex]

we can see that [tex]-2z^{4}[/tex] contains the variable with the highest exponent, 4, so the degree of this polynomial is 4.

Answer:

4

Step-by-step explanation:

khan academy help

Jason Ayers works as a lifeguard earning $8.75 an hour for 20 hours per week. What is Jason’s straight-time pay for the week?

Answers

Hey!

-----------------------------------------------------

Straight-Time Pay - someone works the minimum and gets paid for working those hours. This person doesn't work any overtime hours.

-----------------------------------------------------

Solution:

8.75 * 20 = 175

-----------------------------------------------------

Answer:

Jason's straight-time pay for the week is $175!

-----------------------------------------------------

Hope This Helped! Good Luck!

Answer:

Jason’s straight-time pay for the week is $175.

Step-by-step explanation:

Given : Jason Ayers works as a lifeguard earning $8.75 an hour for 20 hours per week.

To find : What is Jason’s straight-time pay for the week?

Solution :

Jason Ayers works as a lifeguard earning in an hour = $8.75

In a week Jason Ayers works for 20 hours.

i.e. Jason Ayers works as a lifeguard earning in 20 hour =[tex]\$8.75\times 20[/tex]

Jason Ayers works as a lifeguard earning in 20 hour = $175

Therefore, Jason’s straight-time pay for the week is $175.

The elementary school students are putting on a play as a fundraiser. The student tickets cost $2.00 each and
the adult tickets cost $4 each. They sold 5 times as many student tickets as adult tickets. They made $140. How
many student and adult tickets were sold?

Answers

Answer:

850 for student and 850 for students

Step-by-step explanation:

Answer with Step-by-step explanation:

Let student tickets sold be=x

and adult tickets sold=y

They sold 5 times as many student tickets as adult tickets.

i.e. x=5y

The student tickets cost $2.00 each and

the adult tickets cost $4 each.

They made $140.

i.e. 2x + 4y = 140

Dividing both sides by 6, we get

x + 2y = 70

or 5y + 2y= 70

i.e. 7y=70

i.e. y=10

x= 5y

⇒ x = 50

Hence, Student tickets sold= 50

and Adult tickets sold= 10

Solve —2|5w – 7 |+9=-7

Answers

The answer is w=3 and w=-1/5. Hope this helps!!!

tins eats 8 crackers for a snack each day at school.on Friday,she drops 3 and only eats 5. multy​

Answers

Answer:

[tex]37[/tex]  [tex]crackers[/tex]

Step-by-step explanation:

Tins (or Tina)  ate 8 crackers for a snack  each day on school , then on Friday, she drops three and only eats 5.

Meaning that for 4 days, she ate 8 crackers not including Friday.

So meaning we have to multiply how many crackers she ate for those 4 days in total:

[tex]8 * 4[/tex]

[tex]==> 32[/tex]

Then on Friday, she only ate 5, so we add 5 for how many crackers she ate into how many we have right now:

[tex]32 + 5[/tex]

[tex]==> 37[/tex]

Final answer:

To find out how many crackers Tins ate on Friday, you can subtract the number of dropped crackers from the total number she normally eats.

Explanation:

In this question, the subject is mathematics and the grade level is middle school. The question asks about a student named Tins who eats 8 crackers for a snack each day at school. On Friday, she drops 3 crackers and only eats 5. To find out how many crackers she ate on Friday, we can subtract the number of dropped crackers from the total number she normally eats.

Number of crackers normally eaten: 8

Number of crackers dropped on Friday: 3

Number of crackers eaten on Friday: 8 - 3 = 5 crackers

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