How is locating -1.5 on a number line the same as locating 1.5 on a number line? How is it different?

Answers

Answer 1

It’s the same in the sense that 1.5 and -1.5 are the same distance away from 0 - they have he same *absolute value*. It’s different in *where* you look. 1.5 is 1.5 to the *right* of 0, while -1.5 is 1.5 to the *left* of zero.

Answer 2

Locating -1.5 and 1.5 on a number line involves measuring 1.5 units from the origin, but in opposite directions; -1.5 is to the left and 1.5 is to the right.

Locating -1.5 on a number line is similar to locating 1.5 in that you measure the same distance away from the origin (0 point), which is 1.5 units. The main difference is the direction in which you measure from the origin. For -1.5, you would move 1.5 units to the left of the origin since negative numbers are represented to the left on a number line. On the other hand, for 1.5, you would move 1.5 units to the right of the origin because positive numbers are placed to the right.

Another perspective of understanding this concept comes from the coordinate system. If you stand on a straight line and choose a point as the origin, moving to the left will give you the negative coordinates, whereas moving to the right will give you the positive coordinates. Regardless of which side you choose, the absolute value of your position from the origin remains the same; only the sign changes to reflect the direction.

Related Questions

The sides of a square are 5^2/5. What is the area of the square?

A. 5^4/5 square inches

B. 5^4/25 square inches

C. 25^4/5 square inches

D. 25^4/25 square inches

Answers

1. A square is a figure with four sides that have the same lenght. So, to solve this problem and calculate the area of the square, you must apply the following formula:

A=(s)(s)
A=s²

"A" is the area of the square.

"s" is the lenght of the side of the square.

2. So, the lenght of the side given in the problem is 5^2/5 inches (s=5^2/5 inches). Therefore, you only have to substitute this value into the formula A=s².

3. Then, you obtain:

A=s²
A=(5^2/5 inches)²
A=5^4/5 inches²

What is the area of the square?

The answer is: A. 5^4/5 square inches.

-(-(-)(-)(-10x))=-5 solve for x

Answers

-(-(-)(-)(-10x)) = -5

We need to cancel out the negatives, so we need to simplify this.

To make things a bit easier for you, we can begin by counting out how many negatives we have. After counting, you should have a negative number count of 5. However, one of the negatives is apart of (-10x) so we'll have 4 negatives and then an extra negative in with 10x.

Remember that "-" could also be looked at as "-1."

So, if we break this down into smaller parts and substitute "-" into "-1," then this'll look like this :

-1 × -1 × -1 × -1 × (-10x) = -5

Remember that a negative times a negative is always a positive.

So, since there are four negatives, then you just multiply it all together.

This results in 1 × (-10x) = -5

Simplify.

-10x = -5

Now, you simply divide both sides by -10.

-10x ÷ -10 = -5 ÷ -10

Simplify.

x = 1/2

~Hope I helped!~

Help me please!!!!!!!!!!!!

Answers

The graph shows that x=1 and x=6 will make the factors be zero. This polynomial has factors (x -1) and (x -6).

The 2nd selection is appropriate.

What is the length of the base of a right triangle with an area of 15 m² and a height of 3 m?

Answers

You know the formula to find the area of a triangle is B*h/2. If the area is [tex] 15m^{2} [/tex]. Multiply 15 by 2...........which gives you 30 divide 30 by 3 which gives you 10.

Answer: 10

Answer:

10 m

Step-by-step explanation:

I did the test

Bacteria triples every hour. How much bacteria will there be after two days if they started with 13,000 bacteria.

Answers

13,000 • 3 = 1 hour = 39,000
Now we take the one hours worth 39,000 • 48 (hours in two days) = 1,872,000
Hope this helps!

"there are 362 first-grade students in park elementary school. if there are 34 more girls than boys, how many girls are there"

Answers

There are 198 girls
you subtract 34 from 362 which is 328
you then divide 328 by 2 which is 164
next you add 34 to 164 which gives you 198 which is the number of girls

Find the GCF of the following literal terms. m^7 n^4 p^3 and mn^12 p^5

m[]n[]p[]

Answers

That would be m n^4 p^3

Answer:

The GCF of following literal terms is [tex]m^1n^4p^3[/tex].

Step-by-step explanation:

The given literal terms are

[tex]m^7n^4p^3[/tex]

[tex]m^1n^{12}p^5[/tex]

The factored form of the given terms are

[tex]m^7n^4p^3=m\times m\times m\times m\times m\times m\times m\times n\times n\times n\times n\times p\times p\times p[/tex]

[tex]mn^{12}p^5=m\times n\times n\times n\times n\times n\times n\times n\times n\times n\times n\times n\times n\times p\times p\times p\times p\times p[/tex]

The common factors are m,n,n,n,n,p,p,p. So, the G.greatest common factors is

[tex]GCF=m\times n\times n\times n\times n\times p\times p\times p[/tex]

[tex]GCF=m^1n^4p^3[/tex]

Therefore the GCF of following literal terms is [tex]m^1n^4p^3[/tex].

which best describes a number that cannot be irrational

Answers

am irrational number is a number that cannot be expressed as a fraction for any integers. numbers of the form,where is the logarithm, are irrational if and are integers, one of which has a prime factor which the other lacks. is irrational for rational

Answer:

All numbers that can be made by dividing two integers cannot be irrational.

Step-by-step explanation:

Irrational numbers are real number that cannot be expressed as the quotient between two integers, remember that integers are whole numbers, that is, they don't have a fractional part.

So, all numbers that can be made by dividing two integers cannot be irrational.

For example, number 3/2 is not an irrational number, because it can be expressed as the divison of two integers.

Find all the zeros of x^3-5x^2-x+5

Answers

The fact that the coefficients are pairwise identical (except for sign) tells you that x^2 -1 is a factor (and x-5 is the other factor). Of course, you recognize x^2-1 as a special form (the difference of squares) that is factored as (x +1)(x -1).

The zeros are x = -1, +1, +5.

___
A graphing calculator confirms this.

1.
Kara, a 25-year-old female, bought a $50,000, 10-year life insurance policy through her employer. Kara is paid semimonthly. How much is deducted from each of her paychecks for life insurance? Use the table.

A. $4.81
B. $5.21
C. $6.25
D. $6.77

2.
Dawson, a 42-year-old male, bought a $180,000, 20-year life insurance policy. What is Dawson's annual premium? Use the table.

A.$819.00
B.$1040.40
C.$1859.40
D.$2462.40

Answers

Answer:

The answer for number one is $5.21. NOT $6.25

Step-by-step explanation:

The amount deducted from the paychecks are: 6.25 dollars

The annual premium of Dawson is D.$2462.40

How to solve for the annual premium

To get Karas annual premium

$1000 of coverage.

$50,000 at 2.50 dollars cost

since she is paid semi monthly

2.50 / 2 = 1.25

annual premium = 1.25 / 100 * 50

= 6.25 dollars

2. Under 20 year coverage for a 40 - 44 year old mail we have $13.68 as the amount

180000 / 1000

= 180

180 x 13.68

= D.$2462.40

Read more on coverage here https://brainly.com/question/8972747

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Marge wants to build a sidewalk of uniform width around a rectangular swimming pool that is 80 feet long and 50 feet wide.she has 2000 square feet of concrete to create the sidewalk.what should be the width of the sidewalk

Answers

For this case, the first thing we are going to do is rewrite the expression of the pool area again.
We have then:
(80 + 2W) (50 + 2W) - 80 (50) = 2,000
Rewriting we have:
4000 + 160W + 100W + 4W ^ 2 - 4000 = 2000
4W ^ 2 + 260W - 2000 = 0
W1 = 6.949334595148748
W2 = -71.94933459514874 (ignore)
round:
W = 6.95
Answer:
the width of the sidewalk should be:
W = 6.95 feet

Quadrilateral ABCD is inscribed in this circle.

What is the measure of angle B?

Enter your answer in the box.

m∠B=
°

Answers

(6x+19)° + x° = 180°
7x° = 180°-19°
7x° = 161°
x = 23°

m∠B = 6(23) + 19
= 157°

Answer:

∠B=157°

Step-by-step explanation:

It is given that Quadrilateral ABCD is inscribed in the circle.

Also, we know that if the Quadrilateral ABCD is inscribed in the circle, then the opposite angles of the quadrilateral are supplementary by the property of circles. Then,

∠B+∠D=180°

⇒[tex]x+6x+19=180[/tex]

⇒[tex]7x+19=180[/tex]

⇒[tex]7x=161[/tex]

⇒[tex]x=23^{{\circ}}[/tex]

Thus, the value of ∠B=6x+19=6(23)+19=138+19=157°.

what is the constant of variation for the quadratic variation of x |2|3|4|5|6| fx |28|63|112|175|252|

Answers

f(x) = k*x^2
You can find k using only the first point.
28 = k*2^2
7 = k

The constant of variation is 7.

If the area of the trapezoid is 2.52 cm 2, what is the height? A 0.45 cm B 0.9 cm
C 2.1 cm D 2.2 cm

Answers

0.9 is the correct answer.

Answer:

0.9cm

Step-by-step explanation:

That was the answer on my assignment.

Use the three steps to solve the problem. Betty has 10 more dimes than quarters. If she has $3.45, how many coins does she have?

Answers

Step 1-------> set variables.
Let
x-----------> number of dimes
y-----------> number of quarters

Step 2: set the equation and solve for the variable
we know that
0.10 x+0.25 y=3.45---------------> 10x+25y=345 equation (1)
x=y+10 equation (2)
substituting 2 in 1
10[y+10]+25y=345----> 10y+100+25y=345
35y=345-100-----------> y=245/35=7
x=y+10--------> x=7+10=17

Step 3: plug in the value of x and y from last step into the variables.

y=7--------> number of quarters coins
x=17-------> number of dimes coins

She has (7+17)=24 coins in total

If we assume the quarters are x, then the dimes are 10+x
Thus, 0.25x + 0.1(10+x) = 3.45
= 0.25x +1 +0.1 x = 3.45
= 0.35 x = 3.45 -1
= 0.35x = 2.45
x = 7
Therefore, the quarters are 7, while the dimes were 17,
Thus a total of 24 coins

A scientist wants to find the radius, in feet, of this hemispherical dome. He found that the surface area of the entire sphere containing the dome is 294 square feet. Which equation could he use to find the dome's radius?

A. r2=294 square feet ÷ 4π
B. r2=294 square feet ÷ 2π
C. r2=294 square feet ÷ π
D.r2=588 square feet ÷ 4π

Answers

The surface area of a sphere by definition is given by:
A = 4 * π * r ^ 2
Where,
r: radius of the sphere.
Substituting the values we have:
294 = 4 * π * r ^ 2
We cleared the radio:
r ^ 2 = (294) / (4 * π)
Answer:
An equation that I could use to find the dome's radius is:
A. r2 = 294 square feet ÷ 4π

Answer:

A. r2 = 294 square feet ÷ 4π

What is the domain of the graphed function?
A) y ≥ 4
B) x ≥ -2
C) y ≥ -2
D) x ≤ -2

Answers

The domain is all of the x values. In this graph, the x values start at -2 and go to infinity. Therefore, the answer is B) x greater or equal to negative 2

Jennifer is calculating her gpa. if she uses "=(a1+a2+a3+a4)/4", this is an example of which type of entry?

Answers

The first thing we should know in this case is the meaning of the following acronyms:
(GPA) = Grade Point Average.
Effectively in a program like excel she can use:
GPA = (a1 + a2 + a3 + a4) / 4
Where,
ai = represents each of the notes (i: 1,2,3,4)
However, this is also an example of the following type of entry:
GPA = AVERAGE (a1: a4)
Answer:
Entry:
Formulas: are references of cells, names of cells or ranges, functions or operators that result in a value from other existing values.

Jennifer had $30 to spend on herself. She spent 1\5 of the money on a sandwich, 1\6 for a ticket to a musuem, and 1\2 of it on a book. How much money does she have left over?

Answers

convert the fractions to decimals. make (1/5) .2% etc, then do that for all to get real numbers and subtract from the $30. for example, she spent 50% on a book, or 30(.5)=15. she spent $15 on a book alone, do that for each item.

Sandwich- 6
Ticket- 5
Book- 15

6+5+15 = 26
30-26 = 4

Answer = $4

3.6m by 1.8 m wall How many 6 cm by 6 cm pictures could fit on the wall?

Answers

(3.6*100)/6=60
(1.8*100)/6=30
60*30=1800
there are 1800 pictures could fit on the wall.

Answer:

1800 pictures could fit on the wall.

Step-by-step explanation:

If the area of a space is given as A and this space is to be filled by pictures of area A' then number of pictures will be = [tex]\frac{A}{A'}[/tex]

Now we know area of wall is A and area of picture is A'.

Length and width of wall = 3.6×1.8 m

So area of the wall A = 3.6×1.8 = 6.48 m²

Dimensions of one picture = 6×6 cm Or 0.06×0.06 m

So are of one picture A' = 0.0036 m²

Therefore, Number of pictures on the wall = [tex]\frac{A}{A'}[/tex] = [tex]\frac{6.48}{0.0036}=1800[/tex]

Number of pictures required to cover the wall = 1800

Which statement best describes Marcos equation

Answers

The answer would be D. It is true, because the cosine function has a period of 2[tex] \pi [/tex]

Cosine function has period of 2[tex] \pi [/tex] because the function value will be same for variable that 2[tex] \pi [/tex] appart. In the problem, cos [tex]- \pi /2[/tex] and cos [tex] 3 \pi /2 [/tex] difference would be 4[tex] \pi [/tex], which is 2 * [tex] 2 \pi [/tex]. That means they both should have same value.

Wendy took a trip from one city to another, a distance of 580 mi. she traveled part of the way by bus, which arrived at the train station just in time for wendy to complete her journey by train. the bus averaged 40 mi/h, and the train averaged 80 mi/h. the entire trip took 9 1 2 h. how long did wendy spend on the train?

Answers

If he traveled x mi by bus, then the time taken using bus is x/40 hours
and therefore, she took (580-x) mi by train, thus the time taken with train was (580-x)/80 hours.
Hence, x/40 +(580-x)/80 = 9.5 hours
80(x/40) +80 (580-x)/80 = (9.5)80
= 2x + 580-x = 760
x= 760-580
x = 180
Thus the train covered a distance of (580-x) =580-180 = 400
Hence, Wendy took 400/80 = 5 hours on the train

Cycle paths inc, makes bicycles,tricycles,and unicycles. last week they made 88 more bicycles than unicycles, and 5 times as many tricycles as unicycles. if they made 40 more bicycles than tricycles, how many unicycles did they make

Answers

Let's name variables:
x = bicycles
y = tricycles
z = unicycles
We write the following system of equations:
x = 88 + z
y = 5z
x = 40 + y
We solve the equation system for z:
1) x = 40 + y
2) y = 5z
3) x = 88 + z
Substituting x and y in equation 1:
88 + z = 40 + 5z
We cleared z:
4z = 88-40
z = 48/4
z = 12
Answer:
They did make 12 unicycles

Write an equation in point-slope form of the line having the given slope that contains the given point. m=56m=56m (30,12)

Answers

Point-slope form is [tex]y-y_1=m(x-x_1)[/tex], where the point [tex]P(x_1,y_1)[/tex] lies on the graph and m is the slope of the graph.

We have a point (30, 12) and a slope of 56.

So we write [tex]y-12=56(x-30)[/tex]. And we're done.

Find the probability that the student is male or a nursing major.

Answers

the correct question is
The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester. (a) y Find the probability that a randomly selected student is male or a nursing major.

see the attached table

a) the probability that a randomly selected student is male, or a nursing major
total students=[1151+2409]=3560
total male=[98+1053]=1151
P (selected student is male)=1151/3560=0.3233
total nursing mayor=[98+741]=839
P (selected student is nursing major)=839/3560=0.2357
P(selected student is male, or a nursing major)=0.3233+0.2357=0.5590

the answer is 0.5590 (55.90%)

Final answer:

The probability that a student is male or a nursing major is expressed by the formula P(M OR N) = P(M) + P(N) - P(M AND N), which requires actual data to calculate.

Explanation:

To find the probability that a student is male or a nursing major, we can use the principle of addition in probabilities. Let's denote P(M) as the probability that a student is male, P(N) as the probability that a student is a nursing major, and P(M AND N) as the probability that a student is both male and a nursing major. The formula for the probability of either event occurring is given by P(M OR N) = P(M) + P(N) - P(M AND N). We need actual data to calculate these probabilities.

Since we don't have the actual probabilities, we can only provide the symbolic representation of the required probability as P(M OR N). However, if the events of being male and majoring in nursing are mutually exclusive (which in reality, they are not), the probability would simplify to just the sum of the two individual probabilities, P(M) + P(N).

The Mid-Atlantic Ridge is a spreading crack between crack between continental plates and it moves apart at 2.5 cm per year. New York is 5567 km from London. In 1,000,000 years, how many far apart will New York be from London.

Answers

In 1,000,000 years, if the Mid-Atlantic Ridge continues to crack at a constant rate, New York and London will be 5592 km away from each other. I found this out by using the unit rate 2.5 cm per year to find out that in 1 million years it would be 2,500,000 cm. There are 100,000 cm in a kilometer. Therefore 2,500,000 cm is equivalent to 25 km. Add the 25 km to 5567 km to get 5592 km as the distance between the two cities.

Anybody have the answer to this?

Answers

we have a right triangle
one leg is 2.4 in
the other leg is 7.4/2=3.7 in (radius)
the hypotenuse is
c^2=a^2+b^2
c^2=5.76+13.69=19.45
c=sqrt 19.45=4.41 in

Vicente wants to plant 3 different types of onions in 1/4 of his garden. He will use an equal amount of space to pkant each ytpe of onion. what fraction of the total garden space will contain each type of onion

Answers

He has 1/4 of his garden to plant 3 types of onions equally in that space. Divide 1/4 by 3.

= 1/4 ÷ 3
when dividing fractions, multiply by reciprocal/inverse

= 1/4 ÷ 3/1
= 1/4 * 1/3
= (1*1)/(4*3)
= 1/12

He has 1/12 of his garden for each type of onion.

Hope this helps! :)

You sell bracelets for $2 each and necklaces for $3 each at a local flea market. You collect. $95, selling a total of 37 jewelry items. How many of each type of jewelry did you sell?

Answers

16 bracelets. 21 necklaces.

Write a system of equation based on the problem
For an instance, b stands for the number of bracelets, n stands for the number of necklaces.
⇒ Total collected money is $95, $2 per bracelet, $3 per necklace
2b + 3n = 95 (first equation)
⇒ 37 jewelry items have been sold
b + n = 37

Find the number of necklaces (n) by eliminating the number of bracelets (b) from the equation system
2b + 3n = 95
b + n = 37 (multiply by 2)
----------------------------------------
2b + 3n = 95
2b + 2n = 74
---------------- - (substract)
n = 21

Find the number of bracelets by substituting the value of n to either of the equations
b + n = 37
b + 21 = 37
b = 37 - 21
b = 16

Type of jewelry have been sold: 16 bracelets, 21 necklaces

What is the sum of the series?

2+4+8+16+...+512

542

766

1022

1084

Answers

the answer is 1,022 .

Answer:

The correct answer is 1,022. Hope this helps.

Source: Just took quiz and got 100%

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