The final point where -(-7)−(−7) number after simplification lie is 14

In the above question it is given,

-(-7)−(−7)

We need to find the position of this number on the **number line.**

A **number line** is a visual depiction of numbers on a straight line in mathematics. A** number line's** numerals are arranged in a sequential manner at equal intervals along its length. It is often displayed horizontally and can be infinitely expanded in any direction.

To do that, we will first simplify the given numbers by using the sign rules of the **real numbers **

According to the sign rule of **real numbers, **

(i) (-) x (-) = +

(ii) (-) x (+) = -

(iii) (-) +(-) = -

(iv) (+) + (+) = +

Now using the above sign rules, we will simplify the given number

-(-7)−(−7)

-(-7)+ [-(−7)]

7 + 7

Now, on the **number line**, we'll move 7 steps in the positive direction of 0, we'll be on 7. Again from 7 we'll take next 7 steps in the same direction and we'll reach the point 14.

Hence, 14 is the final point where -(-7)−(−7) number after simplification lie.

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PLEASE HELP!

Set up the system of equations for this scenario. Let "b" represent hours babysitting

and "w" represent hours walking dogs.

**Answer:**

I not to sure but I think it is b+w=h(hours)

**Step-by-step explanation:**

Which symbol correctly compares these fractions? −4/5 −8/9

Answer:

-4/5 > -8/

-4/5 greater than -8/

**Answer:**

" > "

**Step-by-step explanation:**

-4/5=4x9 5×9

-4/5 = - 36/ 45

-8/9=8×5 9×5

-8/9 =-40/45

-36/ 45 > -40/45

-4/5 > -8/9

in this case - 4/5 is closer to 0

Suppose a sample of 1762 floppy disk is drawn. Of these disks, 70 were defective. Using the data estimate the proportion of disks which are defective. Enter your answer as a fraction or decimal number rounded to three decimal places.

In order to find the proportion of disks that are defective, we can divide the number of defective disks by the total number of disks in the sample:

[tex]p=\frac{70}{1762}=\frac{35}{881}[/tex]Therefore **the proportion is 35/881.**

Simplify: 12a+7x-3a-2x

**Answer:**

9a+5x

**Step-by-step explanation:**

9a+5x

all you need to do here is to collect like terms.

so first ignoring the X's, 12a minus 3a is 9a.

then 7x-2x=5x

then you put these together to give you 9a+5x

**Answer:**

9a+5x

**Step-by-step explanation:**

you just have to collect like terms and then you will be able to find your answer!

Helen needs 6 pints of water to make lemonade. How many gallons does she need?

ANSWER: 0.75 gallon

EXPLANATION: 1 pint is equal to 0.125 gallon, so 0.125 • 6 = .75 gallon

EXPLANATION: 1 pint is equal to 0.125 gallon, so 0.125 • 6 = .75 gallon

Julie is using a 1/2

1

2

-cup measuring cup to fill a gallon jug with water. Julie will need Response area scoops of the 12

1

2

-cup measuring cup to completely fill the jug.

16 cups of water using 1/2 **cup **of **measuring cup** will fill a **gallon** of water.

To find the number of 1/2 cups that will fill a gallon, we simply need to know how many **cups** are in one **gallon**.

[tex]1cup = 0.0625 gallon[/tex]

This implies that

[tex]\frac{1}{2} cup = 0.03125 gallon[/tex]

Let's equate this and find how many cups are in one** gallon**.

[tex]\frac{1}{2} cup = 0.03125 gallon\\x cup = 1 gallon\\[/tex]

cross multiply both sides and make x the subject of formula

[tex]x = \frac{0.5}{0.03125}\\x = 16 cups[/tex]

The number of 1/2 **cups** that will fill 1 **gallon** will be 16 **cups**.

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the population of a town increased by 2.59% per year from the beginning of 2000 to the beginning of 2010. the town's population at the beginning of 2000 was 74,500.

the town's **population **at the beginning of 2000 was 74,500.Then the population in 2010 will be 96206.97

In 2000, the population of a town = 74500

Every year, it **increase **by 2.59%

To find the equation P(t) which represents the **population **of this town t years from 2000 to 2010.

Formula

If a be the original population of a town and it **increases **by r% every year, after t year the **population **will be

A = P ( 1+r/100)^t

Now,

Taking, P =74500, r = 2.59% we get,

A = 74500( 1+0.0259)^10

A= 74500(1.0259)^10

A= 96206.97

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sam's bowling score is 5 less than twice the score of eva's. The sum of their scores is 235. Write and solve the equation to find the score of each student.

235 x 2 = 470

470 divided by 5 is 94

Sams score is 94

470 divided by 5 is 94

Sams score is 94

10) 18p³ - 6p² +3p-1

**Answer:**

Evaluate

18p

3

−6p

2

+3p−1

Rewrite the expression

18p

3

+3p−6p

2

−1

Factor out 3p from the expression

3p(6p

2

+1)−6p

2

−1

Factor out −1 from the expression

3p(6p

2

+1)−(6p

2

+1)

Solution

(3p−1)(6p

2

+1)

4 root symbol 84 x 10 to the power of 4

The **simplified value **for 4 √84 x [tex]10^4[/tex] is 800 √21.

The **exponent **of a number shows how many **times **the **number **is **multiplied **by itself.

For **example**, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, xn means that x is multiplied by itself for n times.

Given:

4 √84 x [tex]10^4[/tex]

Now, first **factorize** 84 into **prime** **factor**

84 = 2 x 2 x 3 x 7

The, we can **write **it as

4 √84 x [tex]10^4[/tex]

=4 x √(2 x 2 x 3 x 7 x (10²)²)

= 4 x 2 x 10² √( 3 x 7)

= 8 x 10² √21

=800 √21

Hence, the **simplified **value is 800 √21.

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Which is the equation of the perpendicular bisector of a line segment whose midpoint

is (1, -2) and whose slope is - 1/3

asap

**Answer: y = 3x - 5**

**Step-by-step explanation:**

3 is the reciprocal of -1/3 and by plugging in (1,-2) in to y=3x+b you get -2 = 3(1) + b which makes b = -5

2. Find the volume to the nearest cubic millimeter of the 3-D object in the diagram.

200 mm

300 mm

**Volume **of a pyramid is calculated using the same **basic formula **as that of a cone: volume = (1/3) × base area × height, where height is the **distance **between the base and the apex. Then the **height **is 6 feet.

Using the equation volume = base area height / 3, one may calculate the volume of a **regular square pyramid**. Keep in mind that the **base area **is equal to the base edge length squared.

A **polygonal base **and an apex come together to form a polyhedron known as a pyramid. Volume of a pyramid is calculated using the same basic formula as that of a **cone**: volume = (1/3) × base area × height, where height is the distance between the base and the apex.

The volume of a **square pyramid **exists found by multiplying the area of the base by the height divided by 3.

32 = 4² × h/3

32 = 16 × h/3

**Multiply **both sides by 3

96 = 16 × h

Divide both sides by 16

H = 96/16

H = 6

Therefore, the **height **is 6 feet.

The complete question is:

Find the height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet.

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Can anyone help me with this?

hope the attachment helps you!

Yes the attachment is correct

What is the inverse of function f?

f(x)=10/9x+11

The inverse is 9/10(x-11)

PLEASE HELP!!!!!!!!!!!

**Answer:**

domain -2<x<2

range -2<y<2

not a function

find the confidence interval specified. assume that the population is normally distributed. a sociologist develops a test to measure attitudes about public transportation, and 27 randomly selected subjects are given the test. their mean score is 76.2 and their standard deviation is 21.4. construct the 95% confidence interval for the mean score of all such subjects.

The 95% confidence **interval **for the **mean **score of all such subjects. will be ( 67. 7 , 84.7) using **mean**.

**What is mean?**

Mathematicians, **particularly **statisticians, use a variety of **means**. Every **mean** serves to condense a certain set of facts, frequently to help grasp the general significance of a particular **data set**.

sample mean = x' = 76.2

sample S = 21.4

sample size n = 27

Confidence level = a = 0.95

α=1-a=0.05

95% confidence interval for the **mean **score of all such subjects is

(x'-E , x'+E)

E = [tex]\frac{tc*s}{\sqrt{n}}[/tex]

E = [tex]\frac{2.056*21.4}{\sqrt{27}}[/tex]} = 8.466

95% confidence interval for the mean score of all such subjects is

(x'-E , x'+E)

=(76.2-8.466 , 76.2+8.466)

=(67.734 , 84.666)

= ( 67. 7 , 84.7)

Hence The answer will be ( 67. 7 , 84.7).

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adana is going on vacation with her family in2 hours they travel 90.5 miles. they travel the same speed, write an equation that represents how far they will travel, d, in h hours

If adana is going on vacation with her family in2 hours they **travel **90.5 miles. they travel the same speed, The **equation **that represents how far they will travel, d, in h hours is: r = d / t, D = r × t.

Given data;

Travels time : 2 hours in 90.5 miles

Formula for **speed **is:

r = d / t

Where,

r = Speed

d = Distance

t = Time

Hence,

Speed = 90.5 / 2

Speed =45.25miles per hour

Since they travels d **distance **in h hour with the same speed let find the distance

D = r × t

Distance = Speed × Time

Distance = 45.25 × h

Distance = 45.25h miles

Therefore r = d / t, D = r × t is the **equation **that represent the distance they travel.

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Solve for x: -4x - 4 = -4(x + 2)

Oo

O-4

O All real numbers

O No solution

no solution because i did it on paper and it came back no zero

Use distributive property to multiply the 3 in the expression 3(x−5)=12

**Answer:**

x = 9

**Step-by-step explanation:**

3(x - 5) = 12 ← distribute the parenthesis on the left by 3

3x - 15 = 12 ( add 15 to both sides )

3x = 27 ( divide both sides by 3 )

x = 9

tv sets: according to the nielsen company, the mean number of tv sets in a u.s. household in 2013 was 2.24 assume the standard deviation is 1.3. a sample of 80 households is drawn.

The **probability **of a random sample of 80 households having a sample means a number of at least 2.55 televisions per household is 0.48173.

Given: Mean(μ) = 2.24, Standard deviation(σ) = 1.38, Sample size(n) = 1.28 and a random variable for X = 2.55

The formula to calculate the z-score from the **mean**. The standard deviation is:

z = (X - μ) / ( σ / √(n)) where,

z = z-score,

X = random variable,

μ = **mean**,

σ = standard deviation, and

n = sample size

Let's solve the given question:

We have,

**Mean**(μ) = 2.24,

Standard deviation(σ) = 1.38,

Sample size(n) = 80, and

a random variable for X = 2.55

As it is given sample means at least 2.55 so we have to find the Z(x ≥ 2.55).

Therefore, Z(x ≥ 2.55) = (2.55 - μ) / ( σ / √(n))

Substituting all values we get:

Z(x ≥ 2.55) = (2.55 - 2.24) / ( 1.38 / √(80))

Z(x ≥ 2.55) = 0.01 / 0.21819

Z(x ≥ 2.55) = 0.48173

Hence the **probability **of a random sample of 40 households having a sample means a number of at least 2.55 televisions per household is 0.48173.

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A group entering a zoo purchased 32 admission tickets for a total of $148. Adult tickets cost $7.50, and tickets for children cost $3.50. How many of each type of ticket were purchased?

There are **23 tickets** which are purchased for **children** and **9 tickets** are purchased for adults which cost total **$148.**

It is given in the question that **32 tickets** are purchased by group which cost total ** $148**.

Let the number of children of the group who are entering the zoo be **x.** Then the number of adults will be **32- x**

Now cost of one ticket for adult = **$7.50**

Total amount spent on adult tickets = **7.50 × (32-x)**

Similarly, cost of one ticket for child= **$3.50**

Total amount spent on children tickets = 3.50 × x =**3.5x**

Total amount spent by group on tickets = $148

⇒ 7.5 × (32-x) + 3.5x = 148

⇒ 240 - 7.5x + 3.5x = 148

⇒ 7.5x - 3.5x = 240 - 148

⇒ 4x = 92

⇒ x = 23

Children = **23**

Adults = 32-x = 32-23 = **9**

Hence, **23 tickets** are purchased for children and **9 tickets** are purchased for adults.

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Imagine you went to the store and bought a video game for $12.98. This item is taxable at 6% tax and the total tax is $0.78. What is the total amount due?

The **total amount** due will be **equal **to $6.24.

This question can be solved by converting the situation into form of an **equation**. An equation may be defined as an **expression** which consists of numbers, **variables** related to each other by **arithmetic** expressions. The** solution **of equation often referred to as the variables for which the equation must be solved, are the values of the unknowable variables that satisfy the **equality**. The cost of video game is given as $12.98, and** tax **is equal to $0.78, and he paid an amount of $20. let the **change** left be x.

Total amount = cost of game + tax + change

$20 = $12.98 + $0.78 + x

$20 = $13.76 + x

=> x = $20 - $13.76

=> x = $6.24 which is the due **amount**.

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**Complete Question:**

**Imagine you went to the store and bought a video game for $12.98. This item is taxable at 6% tax and the total tax is $0.78. What is the total amount due? Next, you decide to pay with a $20.00 bill. How much change will you receive after paying for your video game?**

AB=AD and BC=DC What is y equal to? Please show your work of how you got the answer.

The **measure** of the** angle **y is 49 degrees if AB=AD and BC=DC; the answer is 49 degrees.

It is defined as a **four**-sided **polygon** in geometry having **four **edges and four **corners**. The **kite** is **quadrilateral**, having **two** pairs of **congruent** sides and it has one** pair **of opposite **congruent** angles.

The **kite **is given in the picture.

AB = AD

BC = DC

∠DBC + ∠CBD + ∠C = 180

From the property of kite: ∠DBC = ∠CBD

y + y + 82 = 180

y = 98/2

y = 49 degrees

Thus, the **measure** of the** angle **y is 49 degrees if AB=AD and BC=DC; the answer is 49 degrees.

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Please answer this with an explanation:

**Answer:**

-2

**Step-by-step explanation:**

PT = TQ

3x + 4 = 5x - 8

-3x -3x

4 = 2x - 8

-8 -8

-4 = 2x

÷2 ÷2

x= -2

**sooo**

3 times -2 +4 = -2

What percentage of Earth's freshwater is found in lakes, rivers, and streams as surface water? (1 point)

69%

30%

1%

71%

The **percentage** of Earth's freshwater is found in lakes, rivers, and streams as **surface** water is 69%. Therefore, option A is the correct answer.

We need to find the percentage of Earth's freshwater is found in lakes, rivers, and streams as surface water.

What is percentage?**Percentage** is defined as a given part or amount in every **hundred**. It is a **fraction** with 100 as the **denominator** and is represented by the symbol "%".

Over 69 **percent** of the fresh water on **Earth** is found in icecaps and glaciers, and just over 30 percent is found in **ground water**. Only about 0.3 percent of our fresh water is found in the **surface** water of lakes, rivers, and swamps.

The **percentage** of Earth's freshwater is found in lakes, rivers, and streams as **surface** water is 69%. Therefore, option A is the correct answer.

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the hypotenuse of a right triangle is 10 inches. the length of the two legs are given by two consecutive even integers. find the length of the two legs. the lengths of the two legs are and inches. license points possible: 1

**Answer:**

6 and 8

**Step-by-step explanation:**

x = one integer

x+2 = other integer

Pythagorean Theorem:

x^2 + ( x+2)^2 = 10^2

x^2 + x^2 + 4x + 4 = 100

2x^2 + 4x - 96 = 0

x^2 + 2x -48 = 0 Use factoring ( or Quadratic Formula)

(x+8)(x-6) = 0 shows x = 6 the other integer is 8

the following data were obtained for days required to reach 230 lb and backfat thickness of a sample of 10 pigs: pig no. days to 230 lb, days backfat thickness, in 1 164 1.0 2 180 1.1 3 158 1.2 4 160 1.4 5 198 1.2 6 172 1.3 7 186 1.1 8 178 1.3 9 178 1.4 10 186 1.0 calculate the covariance between days to 230 lb and backfat thickness.

The **covariance** value between two variables says, days to 230 lbs and backfat thickness, is 0.48..

The **covariance** value between any two variables is used to determine whether the variables are changing in the same direction. It relates the two variables if they are from different data sets.

Let X and Y be two data sets with different values. Then the covariance between X and Y is given by

**Cov ( X,Y) = ****∑**** ( ****X**** ****ᵢ****– u) ( Y****ⱼ****-v )**** ****/n**

Where are Xᵢ's elements in the X data set

Yⱼ→ elements of the Y set

μ → mean of X data set

ν→ mean of Y set

n→ total number of observations

As we have given two sets of data, let days to 230 lbs and backfat thickness be sets X and Y, respectively.

Now, we shall calculate the mean value for X and Y sets.

Mean of X set = (164+158+180 + +160+198+172+186+178+178+186)/10= 176

The mean of Y set =

(1.0+ 1.1+ 1.2+ 1.4+1.2+1.3++1.1+1.3+1.4+1.0)/10 = 1.2

Xᵢ– μ - 12 -18 4 -16 22 -4 10 2 2 10

Yⱼ– ν -.2 - .1 0 .2 0 .1 -.1 .1 .2 -.2

(Xᵢ - μ)(Yⱼ- ν) 2.4 1.8 0 - 3.2. 0 0.4 1 4.4 -2

∑ (Xᵢ - μ ) ( Yⱼ - ν) = 4.8

put all the values of variables in above formula we get,. Cov( X, Y) = 4.8 / 10 = 0.48 ..

So, the Covariance between the days of 230lb and backfat thickness is 0.48 ..

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Which shows the expressions in the order they would appear on a number line from least to greatest? (5 points) a 17 over 9, square root of 6, square root of 15, square root of 30, 3 to the power of 3 b 3 to the power of 3, square root of 30, square root of 15, square root of 6, 17 over 9 c 3 to the power of 3, square root of 6, square root of 15, 17 over 9, square root of 30 d 17 over 9, square root of 30, square root of 15, 3 to the power of 3, square root of 6

An expression which shows the order the **numbers** would appear on a **number line** from least to greatest is: A. 17 over 9, square root of 6, square root of 15, square root of 30, 3 to the power of 3.

A **number line **can be defined as a type of graph with a graduated straight **line **which is composed of both positive and negative **numbers** that are placed at equal intervals along its length.

In Mathematics, a **number line** typically increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

In order to arrange the given **numbers** in order from** least** to **greatest,** we would convert them into a decimal number as follows:

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Which expressions simplify to a rational answer?

Select each correct answer.

Options (1), (3), (4), (7) and (8) are **rational numbers**.

**Rational numbers** are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include **natural** **numbers**, whole numbers, integers, **fractions** of integers, and decimals (terminating decimals and recurring decimals).

1) 1/4 + 1/2 = 1/4 + 2/4

= 3/4

3/4 is the rational number

2) √3 + 4 is an irrational number

3) √4 + 7

2 + 7 = 9

9 is the rational number

4) 2·√9

= 2·3

= 6

6 is the rational number

5) 7·√6 is an irrational number

6) 4·2√3 = 8√3

8√3 is an **irrational number**

7) 3·7·(1/3) = 7

7 is the rational number

8) 7·√81

=7·9 = 63

63 is the **rational** **number**

Therefore, options (1), (3), (4), (7) and (8) are **rational numbers**.

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The equation of line c is y=–

7x+10. Line d is perpendicular to line c and passes through (7,4). What is the equation of line d?

Answer: line d is y=1/7x+3

Explanation: An equation of a line that is perpendicular to and equation consists of a negative reciprocal for the slope and a different y-intercept. In this problem the slope is 7x. So the negative reciprocal is -1/7x . Then we need to find the y-intercept using the given point (7,4)

To do this we need to use point slope form.

Y-y2=m(x-x2)

Now we need to plug in the point and slope into this formula.

Y-4=1/7(x-7)

Convert that to slope intercept form by distributing and then isolating y.

Y-4=1/7(x-7)

Y-4=1/7x-1

Y=1/7x+3

That’s how you find the solution !

Hope this helped and let me know if you have any questions ;)

Explanation: An equation of a line that is perpendicular to and equation consists of a negative reciprocal for the slope and a different y-intercept. In this problem the slope is 7x. So the negative reciprocal is -1/7x . Then we need to find the y-intercept using the given point (7,4)

To do this we need to use point slope form.

Y-y2=m(x-x2)

Now we need to plug in the point and slope into this formula.

Y-4=1/7(x-7)

Convert that to slope intercept form by distributing and then isolating y.

Y-4=1/7(x-7)

Y-4=1/7x-1

Y=1/7x+3

That’s how you find the solution !

Hope this helped and let me know if you have any questions ;)

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