Why is the absolute value of a number always positive?

Answers

Answer 1
Because the number is positive
Answer 2

It's not. The absolute value of any number is the positive version of that number except for the absolute value of 0. This is the only situation where the absolute value of a number is not positive. The absolute value of 0 is just 0.


Related Questions

Elisa has a DVD collection. She has 10 horror movies, 20 comedies and 15 action movies. If she picks one at random to watch, what is the probability that it is an action movie?

Answers

The probability of picking an action movie is 1/3

1 plus 1/4 equals what??

Answers

1.25!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1.25 or 1 1/4. (1/4 equals .25)

MULTIPLE CHOICE PLEASE HELP FAST!!!!!!!

in one study it was found that the correlation coefficient between two variables is -0.32. which statement is true?
A. There is a weak positive association between the variables
B. There is a weak negative association between the variable
C. There is a strong positive association between the variable
D. There is a strong negative association between the variable

A study of several cities shows a positive correlation between the percent of people biking to work and that percent of people spending their vacation time at home.
Which statement is most likely true?
A. Bike riding makes people want to vacation at home
B. Vacationing makes people want to rife their bikes
C. The correlation is due to a third variable: cost of milk
D. The correlation is due to a third variable: cost of gas


Answers

Answer:

Just took the test and got an 100% so the answers are in fact,

in one study it was found that the correlation coefficient between two variables is -0.32. which statement is true?

B. There is a weak negative association between the variable  

A study of several cities shows a positive correlation between the percent of people biking to work and the percent of people spending their vacation time at home.  

Which statement is most likely true?

A. Bike riding makes people want to vacation at home  

Have a wonderful day if you need any other questions from this test let me know!!!!!!!

Final answer:

The correct answer for the correlation coefficient of -0.32 is B. There is a weak negative association.

For the correlation between biking and vacationing at home, the likely third variable is cost of gas, choice D: The correlation is due to a third variable: cost of gas

Explanation:

The correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient is -0.32, which indicates a weak negative association between the variables. A negative correlation means that as one variable increases, the other variable tends to decrease. So, option B - There is a weak negative association between the variables - is true.

For the second question, based on the information given, it is most likely that option D - The correlation is due to a third variable: cost of gas - is true. This means that the positive correlation between the percent of people biking to work and the percent of people spending their vacation time at home is likely influenced by the cost of gas as a third variable.

Is the number ���12/4 rational

Answers

Yes because 

12/4 is 3

Please check answer. Will Upvote.
Evaluate the function rule for the given value.
y = 15 • 3x for x = –3
Is the answer -135?

Answers

Y = 15 • 3x
Y = 15 • 3(-3)
Y = 15 • (-9)
Y = -135

Answer: Yes

Step-by-step explanation:

Hi, to answer this question we have to substitute x =-3 on the function given, and solve for the variable y.

y = 15 • 3x

Replacing the value of the variable x by -3:

y = 15 • 3(-3)

Multiplying

y = 15 .-9

y = -135

It is correct, the answer is y= -135  

Feel free to ask for more if needed or if you did not understand something.

Which digit has the greatest value and why??

Answers

The one with the most digits has the greatest value because it is bigger in number.

Which is an equation in point-slope form for the given point and slope?   point: (–2, 4); slope: 5 y – 4 = 5(x – 2) y – 4 = 5(x 2) y 4 = 5x – 10 y 4 = 5(x 2)

Answers

The point-slope formula is y - y1 = m( x - x1 ). In this case, y1 represents the y-coordinate of the point, m represents the slope, and x1 represents the x-coordinate of the point. To solve, all we need to do is plug in our given point and slope.

y - 4 = 5( x + 2 )  

If John makes $20 an hour, how long will it take him to make $140?


120 hours


70 hours


7 hours


160 hours

Answers

For 1 hour, money = $20
For $140, it would be: 140/20 = 7 hours.

So, option C is your final answer.

Hope this helps!

In the diagram below, KL = 12 and LM = 8. Which additional facts would guarantee that JKLM is a parallelogram? Check all that apply.

Answers

By definition, a parallelogram is a figure that has opposite sides parallel or it has two pairs of sides that are parallel. Based on the given figure above, the additional facts that would guarantee that JKLM is a parallelogram are the following: JK= 8 and JM= 12 and JK= 8 and JK is parallel to LM. Hope this answer helps.

Michael and kathryn bowl together and their combined total score for one game was 425 points. Michael's score was 70 less than twice kathryn's. which system of equations models the problem if x represents kathryn's score and y represents michael's score ?

A. x+y=70
y=2x-425

B. x-y=425
y=2x-70

C.x+y=425
y=2x-70

D. x+y=425
y=2x+70

Answers

A is the answer i just took the quiz.

Answer:

Option C is correct

[tex]x+y = 425[/tex]

[tex]y = 2x-70[/tex]

Step-by-step explanation:

Here, x represents Kathryn's score and y represents Michael's score.

As per the statement:

Michael and Kathryn bowl together and their combined total score for one game was 425 points.

⇒[tex]x+y = 425[/tex]

It is also given that Michael's score was 70 less than twice Kathryn's.

⇒[tex]y = 2x-70[/tex]

Therefore, the system of equations models the problem is:

[tex]x+y = 425[/tex]

[tex]y = 2x-70[/tex]


Which values are solutions to the inequality below?

Check all that apply.
>4


A. 17
B. 15
C. 19
D. 8
E. 4
F. 16

Answers

A, B, C, D, and F are all values that are solutions

what is 6800/5788 please hurry

Answers

1.7484450 is the answer
6800\5788=1.17484451
that's the answer 

Which of the following statements are true of a transversal?

It is a line.
It is parallel to other coplanar lines.
It intersects two or more coplanar lines.
It bisects line segments.
It can be perpendicular to other lines.

Answers

Definition: A transversal is a line that crosses at least two other lines.

Main properties:

It is a line (A is true).It is not parallel to other coplanar lines, because it crosses them (B is false).It intersects two or more coplanar lines (C is true).It bisects line segments (D is false).It can be perpendicular to other lines, it can be perpendicular to lines which it crosses (E is true).

Answer: true are options A, C and E.

Final answer:

A transversal in Mathematics is a line that intersects two or more lines at different points, but does not necessarily have to be parallel or bisect these lines. It can, however, be perpendicular to them.

Explanation:

In the subject of Mathematics, a transversal refers to a line that intersects two or more coplanar lines at different points. Therefore, the statement 'It is a line' and 'It intersects two or more coplanar lines' are true for a transversal.

The term transversal doesn't necessitate that it be parallel to other coplanar lines, nor does it indicate that it bisects line segments, so these statements are false. However, a transversal can be perpendicular to other lines if it intersects them at 90-degree angles.

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You are buying potato chips at the grocery store. You have a manufacturers coupon for a $1.00 off and the store is offering 20% off if you buy 2 bags. You decide to buy 2 bags of potato chips. How do you compute your final cost?

A. Subtract $1.00 off each bag and then multiply by .20
B. Multiply each bag by .20, subtract $1.00 off of each bag, and then add them together.
C. Add the two bags together, multiply by .80, and then subtract $1.00.
D. Subtract $1.00 from the first bag, then add them together, and then multiply by .80.

Answers

Based on the given scenario above, the correct answer would be option A. So in order for you to compute your final cost for the potato chips you purchase, what you should do is that, you subtract $1.00 off each bag and then multiply by .20. Hope this answers your question. Have a great day!

Answer:

The correct option is:   C.  Add the two bags together, multiply by .80, and then subtract $1.00.

Step-by-step explanation:

First you need to add the prices of two bags for getting the total sales price.

Now, the store is offering 20% off, that means you need to pay 80% of the total sales price. For finding the amount, we need to multiply the total sales price by 0.80

Then, you have a manufacturers coupon for a $1.00 off. So, for fining the final price, you need to subtract that $1.00 from the last result.

Thus, the correct option will be......

C. Add the two bags together, multiply by .80, and then subtract $1.00.

What is the measure of ∠XYZ

Answers

The measure of angle ∠XYZ is 66°.

Given:

∠W + ∠X = ∠XYZ (Sum of opposite interior angles is equal to the exterior angle)

Let's solve for x:

2x + 12 + 2x + 14 = 5x + 16

4x + 26 = 5x + 16

26 - 16 = 5x - 4x

10 = x

Now substitute the value of x into the equation for ∠XYZ:

∠XYZ = 5x + 16

∠XYZ = 5 * 10 + 16

∠XYZ = 50 + 16

∠XYZ = 66°

Therefore, the measure of ∠XYZ is 66°.

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Solve for x: 1 over 4 (2x − 14) = 4

x = 15

x = 15 over 2

x = 9

x = 11

Answers

1/4 (2x - 14) = 4
2x - 14 = 16
2x = 30
x = 15

how do i simplify -2x - y - 2z ???

Answers

- (2x+y+2z) = -(2(x+z) + y)

What is the axis of symmetry of the function f(x) =-(x+9)(x-21)

Answers

f(x) =-(x+9)(x-21)

Manipulating algebrically,
We get,
f(x) =-(x+9)(x-21)
      = -(x^2 -21x + 9x - 189)
      = -(x^2 -12x - 189)
      = -x^2 + 12x + 189
Axis of symmetry = -b/2a
plugging the values,
x = -12/-2
   = 6

Answer:

x = 6

Step-by-step explanation:

The given equation is [tex]f(x)=-(x+9)(x-21)[/tex]

We write the equation in standard form of parabola [tex]f(x)=ax^2+bx+c[/tex] using FOIL

[tex]f(x)=-(x+9)(x-21)\\\\f(x)=-(x^2-21x+9x-189)\\\\f(x)=-x^2+12x+189[/tex]

Now, we know that the axis of symmetry passes through the vertex. Hence, in order to find the vertex of the parabola, we find the x coordinate of the vertex.

x coordinate of the vertex is [tex]-\frac{b}{2a}[/tex]

Here, a = -1 b = 12

[tex]-\frac{b}{2a}\\\\=-\frac{12}{2\cdot(-1)}\\\\=-(-6)\\\\=6[/tex]

Therefore, the axis of symmetry is x = 6

what is a another was to write (3 x 1,000) (3 x 10) (3 x 1/100) (3 x 1/1000)

Answers

(3×1/1000) hope it helps.
3030.033 would be another way to write it out

find m KTL. Please I need help

Answers

The answer is: m∡ KTL = 66°
___________________________
Given: m∡3 = m∡4 = 123° ;

Since the sum of ALL ANGLES in ANY TRIANGLE equal 180°; 
 
    →  the m∡ KTL = 180 − ( m∡ KLT  + m∡TKL) 


We want to find

1) m∡ KLT  ; AND:
2) m∡ TKL   ,'
_____________
{Note: Alternatively, "m∡ KLT" can be written as: "m∡ TLK" ; and:
           "m∡ TKL" can be written as: "m∡ LKT" . }.
________________________________________________
Since the sum of ALL ANGLES in ANY TRIANGLE equal 180; 
 
     → m∡ KTL = 180 − ( m∡ KLT  + m∡TKL) ; 
___________________________________________
Or: →  m∡ KTL = 180 −  m∡ KLT  −  m∡TKL ; 

Since, the distributive property of multiplication states:
________________________________
    →  a* (b + c) = ab + ac ; AND
    →  a *(b − c) = ab − ac  
______________________________
Thus: m∡ KTL = 180 − ( m∡ KLT  + m∡TKL) =
 
→      180 − 1( m∡ KLT  +  m∡TKL ) ;
_____________________________________
→Note: The invisible "1" is implied, since anything multiplied by "1" equals that same value.   We treat this as "-1" (negative one), due to the "minus sign).
_______________________________________
           →  -1 * ( m∡ KLT  +  m∡ TKL ) =

           →  -1 * (1 m∡ KLT + 1 m∡TKL ) =
          
           → (-1 * 1 m∡ KLT)  + ( -1 * 1 m∡TKL ) =

           → (-1 m∡ KLT)       + ( -1 m∡TKL) = 

           →  -1 m∡ KLT − 1 m∡TKL    ; 
_________________________________
Now, bring down the "180" and rewrite: 
_____________________________________
→ 180 − 1 m∡ KLT − 1 m∡TKL ;  →  Delete the "ones" ; and Rewrite:
__________________________________________
→ 180 − m∡ KLT − m∡TKL ; 
_______________________
      → m∡ KTL = 180 − m∡ KLT − m∡TKL = 180 − (m∡ KLT + m∡TKL) ;
__________________________________________________________
→Now, solve for: m∡ KLT ;
_____________________________
→Using the diagram; m∡ KLT = 180 − m∡4 ; Given m∡4 = 123; and 
 ∡4 and ∡KLT are supplementary angles [the only two (2) angles on a particular straight line]; the sum of m∡4 and m∡KLT = 180.

           →  m∡ KLT = 180 − m∡4 = 180 − 123 = 57 .
_____________________________________________
→Now, solve for: m∡TKL  ;
______________________________
 →Using the diagram; m∡ TKL = 180 − m∡3 ; Given m∡3 = 123; and 
 ∡3 and ∡TKL are supplementary angles [the only two (2) angles on a particular straight line]; the sum of m∡3 and m∡KLT = 180.

             →  m∡ KLT = 180 − m∡4 = 180 − 123 = 57 
______________________________________________
→So, in our "triangle":  ΔKTL; we want to find the m∡T;  that is m∡KTL; 
____________________________________________
    We know that each of the other 2 (two) angles in this triangles measures 57° .
______________
So, we calculate as follows:
____________________________
Method 1:
___________
 m∡ KTL = 180 − ( m∡ KLT  + m∡TKL)
             =  180 − ( 57 + 57) = 66° .
___________________________________________
Or:  Method 2: 
___________________________________________
 m∡ KTL =  180 − ( m∡ KLT  + m∡TKL) 
              =  180 − ( 57 + 57)
              =  180 − (57 * 2) = 180 − 114 = 66° . 
________________________________________
Or: Method 3:  
_________________________
→  m∡ KTL = 180 −  m∡ KLT  −  m∡TKL
                  = 180 − 57 − 57 = 66° .
______________________________________________________
Answer:  m∡ KTL = 66° .
_______________________________________________________
→ Let us check our answer to see if it "makes sense": 
____________________________________
66 + 57 + 57 =? 180?

66 + 57 = 123;   123 + 57 =? 180 ? Yes!
______________________________________________

How do you solve this problem
58=(2/3)w

Answers

38.66666666666666666666666666666666666666666666666666666666666666

Angle θ lies in the second quadrant, and sin θ = 3/5

Answers

the answer is this because it is -4/5 cost 
-3/4 tan

Answer:

sin θ [tex]=\frac{3}{5}[/tex]

It is given that , Angle θ lies in the second quadrant.

In the right triangle, Perpendicular =3 units, and Hypotenuse = 5 Units

As, sinθ  is positive in second Quadrant also.That is , sin(π-θ )=sin θ

Also, [tex]sin(\frac{\pi}{2}-\Theta)=cos\Theta[/tex]

[tex]sin (\Theta) = 3/5\\\\  (\Theta) =sin^{-1} \frac{3}{5} {\text{or}} (\Theta) =\pi -sin^{-1} \frac{3}{5}\\\\cos(\frac{\pi}{2}-\Theta)= \frac{3}{5}\\\\ \frac{\pi}{2}-\Theta=cos^{-1}[\frac{3}{5}]\\\\ \Theta= \frac{\pi}{2}-cos^{-1}[\frac{3}{5}][/tex]

So, [tex]\pi-\Theta= \frac{\pi}{2}+cos^{-1}\frac{3}{5}, {\text{or}}\pi -sin^{-1} \frac{3}{5}[/tex]

are values of theta which lies in second quadrant.

what is x+2+x^2+2
what is x+2+x^2+2
what is x+2+x^2+2

Answers

If you factor the expression, your answer would look like this:
x + x^2 + 4
If you simplify the expression, your answer would look like this:
x^2 + x + 4

Answer: x^2 + x + 4


Step-by-step explanation:

You factor the expression to x + x^2 +4

Then you simplify to x^2 + x +4

The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.


If the length of AO is three times the length of CO, the length of BO is

one-third the length of AC

one-third the length of AB

three times the length of DO

three times the length of DC

Answers

BO is the same length as AO, and DO is the same length as CO. therefore BO is three times the length of DO.

Answer:

Length of BO is three times the length of DO.

Step-by-step explanation:

In trapezoid ABCD, [tex]CD\ ||\ AB[/tex]

In ΔCDO and ΔABO,

[tex]m\angle CDO=m\angle ABO[/tex] (Alternate interior angles)[tex]m\angle DCO=m\angle BAO[/tex] (Alternate interior angles)

So, [tex]\Delta CDO\sim \Delta ABO[/tex] according to Angle-Angle similarity.

Therefore, the ratio of corresponding sides will be same.

[tex]\Rightarrow \dfrac{OD}{OB}=\dfrac{OC}{OA}[/tex]

[tex]\Rightarrow \dfrac{OD}{OB}=\dfrac{OC}{3\cdot OC}[/tex]

[tex]\Rightarrow \dfrac{OD}{OB}=\dfrac{1}{3}[/tex]

[tex]\Rightarrow OB=3\cdot OD[/tex]


Simplify. √24

A √38

B √212

C √26

D √46

Answers

the closest answer would have to be C.√26
Final answer:

To simplify √24, we find its prime factors, pair them up, and bring one number from each pair outside the square root. The remaining numbers stay under the square root. The correct answer is 2√6. The options provided in the question are all incorrect.

Explanation:

The problem is asking us to simplify √24, which is a typical Mathematics question in Middle School. Here are the steps we need to take:

Find the prime factors of 24. They are 2, 2, 2, and 3.Group the factors in pairs. We have one pair of 2's.Take one number from each pair outside the square root symbol. So, we have 2.The remaining numbers (2 and 3) stay under the square root symbol, multiplied together to give 6.

Therefore, √24 simplifies to 2√6.

All the options provided (A √38, B √212, C √26, D √46) are incorrect.

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Solve.
 
-7/3n = -42
 
n =

Answers

Correct answer is 98

Answer:

the real answer is -18 if ur k12

Step-by-step explanation:


There are 10 students running a race. The fastest three get a gold, silver, or bronze medal. How many different ways can the students win these medals? ...?

Answers

There are 720 ways.

That's because there are 10 ways for someone to be first, 9 ways for someone to be second after him, and 8 for someone to be third after them, so 10 x 9 x 8 = 720.

what is 234/78 I need help

Answers

The answer to 234/78 is 3
the remainder of the answer is 3 or the answer is 3. 

You invest $5,000 in a savings account that earns 6% interest each year.
A. How much money do you have in your savings account after the first year?
















B. How much money do you have in your savings account after the second year?


Answers

A. Multiply $5000 by .06, and add it back to $5000 to get the total after one year. This is $5300.
B. Multiply the new amount, or $5300 by .06, and add it back to $5300 to get the total after 2 years. This is $5618. 

A. $5300
B. $5618
Final answer:

After the first year, with an initial investment of $5,000 and an annual interest rate of 6%, the total amount in the savings account is $5,300. After the second year, the total amount in the account increases to $5,618.

Explanation:

You are investing $5,000 in a savings account with an annual interest rate of 6%. The amount of interest you earn each year is calculated using the formula: principal amount *(interest rate/100).

A. After the first year, you would have:
Interest = $5,000 * (6/100) = $300
Therefore, the total amount in the savings account after one year is $5,000 + $300 = $5,300.

B. For the second year, we apply the same formula to the updated  balance from the first year:
Interest = $5,300 * (6/100) = $318
Therefore, the total amount in the savings account after two years is $5,300 + $318 = $5,618.

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Solve for x: 3(x + 1) = −2(x − 1) + 6

A. 1

B. 4

C. 5

D. 25

Answers

3(x+1)=-2(x-1)+6
3x+3=-2x+8
5x=5
x=1

Thus, A would be the answer.

Answer:

Correct option is:

A. 1

Step-by-step explanation:

3(x + 1) = −2(x − 1) + 6

⇒ 3x+3= -2x+2+6

⇒ 3x+3= -2x+8

⇒ 3x+2x=8-3

⇒ 5x=5

dividing both sides by 5

⇒ x=1

Hence, the correct option is:

A. 1

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