What is the difference?

What Is The Difference?

Answers

Answer 1
The answer is D because denominators on a subtraction problem with fractions stay the same and (x+2)(x+1) is the simplified way of x squared +3x+2

Related Questions

question 3 on a railway line, peak ridership occurs between 7:00 am and 5:00 pm. the fairness of a passenger survey could be improved by over-sampling data from which group?

Answers

To improve the fairness of a passenger survey on a railway line, it would be ideal to over-sample data from groups that are less likely to be represented in the regular ridership during peak hours of 7:00 am to 5:00 pm. One such group could be passengers who use the railway line during off-peak hours, such as early mornings or late evenings.

Over-sampling these groups will provide a more comprehensive picture of the ridership patterns and preferences of all passengers, rather than just those who use the railway line during peak hours. This approach will lead to a more accurate assessment of the passenger experience and needs and, therefore, allow for better decision-making when it comes to improving services and amenities.

Other groups that could be over-sampled include passengers with disabilities, seniors, and students who may have different transportation needs and experiences compared to the general ridership. By considering the unique experiences and needs of all passengers, railway companies can work towards creating a more inclusive and accessible transportation system.

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What is the slope for this graph?

What is the slope for this graph?

Answers

slope = rise/run
slope for this graph = 6/4 = 3/2

which graph shows the solution to the system of linear equations?

y=-1/3x+1
y=-2x-3

which graph shows the solution to the system of linear equations?y=-1/3x+1 y=-2x-3

Answers

y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

A paintball court charges an initial entrance fee plus a fixed price per ball. Suppose it costs $18 to use 2 balls and $23 to use 4 balls. What is the entrance fee?

Answers

The entrance fees is 13 dollars charges by the paintball court.

Let us assume that the entrance fees is $X and the actual cost of using one ball is $Y charged by the paintball court.

According to one situation,

Total cost of using to ball = Cost of entry fees + actual cost of using two ball.

So, we can write,

X + 2Y = 18

Let us say that this is our equation 1,

Also, it is provided,

Total cost of using 4 balls = cost of entry fees + actual cost of using four balls.

X + 4Y = 23

Let us say that this is our equation 2,

Both of our equations are linear equations with two variables,

Now, substracting equation 1 from equation 2,

X + 4Y -(X + 2Y) = 23 - 18

2Y = 5

Y = $2.5.

Putting the value of Y = 2.5 in equation 1,

X + 2(2.5) = 18

X = 18 - 5

X = $13.

So, the entry fees is 13 dollars.

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Find m/TRS if m/1 = 2x + 4 and
m/2= 3x - 3.
T
P
S
1
R

Find m/TRS if m/1 = 2x + 4 andm/2= 3x - 3.TPS1R

Answers

If the angles are ∠1 = 2x + 4 and ∠2 = 3x - 3, then m∠TRS =  36°.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The measure of ∠1 = 2x + 4

The measure of ∠2 = 3x - 3

The measure of ∠TRS is -

∠TRS = ∠1 + ∠2

Since, PR is a bisector then ∠1 = ∠2.

The equation is -

2x + 4 = 3x - 3

2x - 3x = - 3 - 4

-x = -7

x = 7

Substitute the value of x in the angles -

∠1 = 2(7) + 4

∠1 = 14 + 4

∠1 = 18°

∠2 = 3(7) - 3

∠2 = 21 - 3

∠2 = 18°

So, the value of ∠TRS is -

∠1 + ∠2

18° + 18°

36°

Therefore, the measure of ∠TRS is 36°.

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Choose the definition that best describes each term.




line


line segment


ray


point


part of a line that consists of an endpoint and all points on the line that extend in one direction



a straight arrangement of points extending without end in opposite directions



has no dimension; is one of the undefined terms of geometry



part of a line that consists of two points called endpoints and all of the points between those endpoints

Answers

Explanation:

line ⇒ a straight arrangement of points extending without end in opposite directions.

line segment ⇒ part of a line that consists of two points called endpoints and all of the points between those endpoints.

ray ⇒ part of a line that consists of an endpoint and all points on the line that extends in one direction.

point ⇒ has no dimension; is one of the undefined terms of geometry. Some may also refer to a point as a dot or dots on a line.

What is 7/4 plus -1/2 plus 2/3? And what’s the answer

Answers

Answer:

1.85

Step-by-step explanation:

1.75-0.5+0.6= 1.85 or 1 17/20

Answer:

1.85

Step-by-step explanation:

1.75 - 0.5 + 0.6 = 1.85

solve the following initial-value problems starting from y 0 = 7 . d y d t = 5 y a. y = at what time does y increase to 100 or drop to 1? round your answer to four decimal places. b. t =

Answers

Answer:

I hope that helped

Step-by-step explanation:

At approximately t = 0.2742, y increases to 100 or drops to 1, depending on the value of a.

a. To solve the initial-value problem d y d t = 5 y , we can use separation of variables.

First, we write the differential equation as:

1 y d y = 5 d t

Integrating both sides, we get:

ln | y | = 5 t + C

where C is the constant of integration.

Using the initial condition y 0 = 7, we can solve for C:

ln | 7 | = 5 ( 0 ) + C

C = ln | 7 |

Thus, the solution to the initial-value problem is:

ln | y | = 5 t + ln | 7 |

Taking the exponential of both sides, we get:

| y | = e 5 t + ln | 7 | = 7 e 5 t

Since the initial condition y 0 = 7 is positive, we can drop the absolute value signs and write the solution as:

y = 7 e 5 t

Now we can use this solution to answer part (a) of the question.

If y = 100, then:

100 = 7 e 5 t

Solving for t, we get:

t = ln ( 100 / 7 ) 5 ≈ 0.6885

If y = 1, then:

1 = 7 e 5 t

Solving for t, we get:

t = ln ( 1 / 7 ) 5 ≈ -0.4591

However, this solution is not valid since we are looking for the time at which y drops to 1, which is impossible since the solution is always positive. Therefore, there is no solution to part (a) for y = 1.

b. To find t, we can use the solution we obtained in part (a) and plug in y = at.

If y = at, then:

at = 7 e 5 t

Solving for t using numerical methods, we get:

t ≈ 0.2742

Rounding to four decimal places, we get:

t ≈ 0.2742

Therefore, at approximately t = 0.2742, y increases to 100 or drops to 1, depending on the value of a.

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Pls help ASAP! I’ll give BRAINLIEST and 5 star rating if correct!! 20 pts?

Pls help ASAP! Ill give BRAINLIEST and 5 star rating if correct!! 20 pts?

Answers

Answer:

The correct answer is 2. I hope this helps!

Step-by-step explanation:

I am almost 100% sure that this is the answer.

Answer:

2

Step-by-step explanation:

9) Which inequality represents the solution to the given inequality? State the letter of the correct answer.

-13t≤78

A. t<-6
B. t≤6
C. t>6
D. t>-6

10) For the solution to the inequality in the previous problem, list all integers from -10 through 10 that will make
the inequality a true statement when substituted for "t"? (The integers for -10 through 10 are shown below.)
(-10,-9,-8,-7,-6,-5,-4,-3,-2,-1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10)

9) Which inequality represents the solution to the given inequality? State the letter of the correct

Answers

Answer:

see explanation

Step-by-step explanation:

solving the inequality

- 13t ≤ 78

divide both sides by - 13, reversing the symbol as a result of dividing by a negative quantity.

t ≥ - 6

this means that any value of t greater than 6, including 6, is a solution.

listing the solutions from - 10 through to 10 that are solutions when substituted for t

- 6, - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5, 6

Determined three ways have a total cost of six dollars each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Answers

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

How to find the number of fruits bought?

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

y = number of bananas

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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PLS HELP FOR BRIANLIST!!!! There are 8 more students in a math class than in a history class. If the ratio of the students in the math class to the history class students is 9 : 7, how many students are in math class?

Answers

Answer:

9-7= 2

8 / 2 = 4

4 X 9 = 36

4 X 7 = 28

36 students in math class

Answer:

36 students in the math class

Step-by-step explanation:

Students filled 6 rows in Level 1 of Section A and 3 rows in Level 3 of Section B.


How many students were seated in the auditorium?


Number of Seats Per Row in the Auditorium

Section Level 1 Level 2 Level 3

A 9 12 14

B 12 16 18

Which steps are used to solve this problem? Select all that apply.


A.

Find how many seats are in each of the rows where the students are sitting.


B.

Add 6 and 3 to find the number of rows that are filled in all.


C.

Add 9 and 18 to find the number of seats that are filled in each row.


D.

Multiply 6 and 9 to find the number of students seated in Section A.


E.

Multiply 3 and 18 to find the number of students seated in Section B.


F.

Multiply 9 and 27 to find the number of students seated in the auditorium

Answers

As per the unitary method, the number of students in the auditorium is 108

Unitary method.

In algebra, the process of finding the value of a single unit, and based on this value is known as unitary method.

Given,

Students filled 6 rows in Level 1 of Section A and 3 rows in Level 3 of Section B.

Here we need to find the number of  students were seated in the auditorium.

As per the given table, in level 1, the total number of rows in A section is 9.

So, the number of students is

=> 9 x 6

=> 54

Similarly, there are 3 rows in Level 3 of Section B.

So, the number of students in the level 2,

=> 3 x 18

=> 54

Therefore, the total number of students is,

=> 54 + 54 = 108

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Joan wants to make a dinner plan for next week. how many different arrangements are there for the 7 days?

Answers

Answer:

5040

Step-by-step explanation:

an illustration of permutations

The given parameter is:

number of days

dinners for 7 days

Substitute known values

For the matrix A below, find a nonzero vector in Nul A, a nonzero vector in Col A, and a nonzero vector in Row A = 1350 012-7 A nonzero column vector in Nul Ais A nonzero column vector in Col A is A nonzero column vector in Row Ais

Answers

As per row echelon form of the matrix, the column space for the given matrix A is { [1 0], [3 1] }

The term row  echelon form of the matrix is defined as a matrix is in echelon form if it has the shape resulting from a Gaussian elimination.

Here we have given the following matrix

\(\begin{bmatrix}1 &3 &5 &0 \\0 & 1 & 2 & -3\end{bmatrix}\)

As  we all know that the column space is a space spanned by the columns of the initial matrix that correspond to the pivot columns of the reduced matrix.

As per the definition of row echelon the given matrix is already in the row echelon form.

So, the column space is written as, first two columns

=> \(\begin{bmatrix}1 \\0\end{bmatrix}\begin{bmatrix}3 \\1\end{bmatrix}\\\)

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What i the equation for thi cenario

Camille buy 10 ticket for $5
Camille pend $135 at fundraier

=

Answers

The required function formula for Camille buy 10 ticket for $5and spend $135 at fundraiser is S(R) = 85 + 5 R .

Given,

The price of each raffle = $ 5,

⇒ The price of 10 raffle = 10 × 5 = $ 50

Since, her total spending at the fundraiser = Her admission fee + price of raffle she buys,

⇒ Her total spending when she buy 10 raffle = Her admission fee + $ 50

According to the question,

Her admission fee + $ 50 = $ 135

⇒ Her admission fee = 135 - 50 = $ 85

Hence, if she buys R raffle then her spending = 85 + 5 R

Here, S represents her total spending,

⇒ S = 85 + 5 R

Or S(R) = 85 + 5 R

Which is the required function formula.

Given question is incomplete , the complete question is given below:

Camille is attending a fundraiser. she pays for her admission and buys raffle ticket for five dollars each. if she buys 10 raffle tickets then she would spend a total of $135 at the fundraiser.

The number S of dollars Camille spent at the fundraiser is the function of R, The number of raffle tickets she buys. write the functions formula.

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In an automatic clothes drier, a hollow cylinder moves the clothes on a vertical circle (radius r=0.512 m ), as the drawing shows. The appliance is designed so that the clothes tumble gently as they dry. This means that when a piece of clothing reaches an angle of θ above the horizontal, it loses contact with the wall of the cylinder and falls onto the clothes below. How many revolutions per second should the cylinder make in order that the clothes lose contact with the wall when θ= 54.0∘?

Answers

The cylinder should make approximately 0.3097 revolutions per second in order for the clothes to lose contact with the wall at an angle of 54.0°.

To determine the required number of revolutions per second for the cylinder in order for the clothes to lose contact with the wall at a specific angle, we can use the concept of centripetal acceleration.

The centripetal acceleration experienced by an object moving in a circular path of radius r at a speed v is given by the formula:

\(a = v^2 / r\)

In this case, when the clothes lose contact with the wall, the net force acting on them is the gravitational force pulling them downward, which can be expressed as:

mg = m * g

Since the gravitational force provides the centripetal force for the clothes, we can equate the centripetal acceleration to the gravitational acceleration:

v^2 / r = g

To solve for the speed v, we need to find the circumference of the circular path. The circumference C can be calculated as:

C = 2πr

Substituting this into the equation above, we have:

v^2 / (2πr) = g

Now, we need to find the required speed v when the clothes lose contact with the wall at an angle of θ = 54.0°. We can use the angle θ to find the arc length traveled by the clothes on the circular path.

The arc length s can be calculated as:

s = θ * r

Substituting the given values, we have:

s = (54.0°) * (0.512 m)

Next, we can calculate the time it takes for the clothes to traverse the arc length s at the required speed v. The time t can be calculated as:

t = s / v

Now, since we want to find the number of revolutions per second, we need to convert the time t into seconds per revolution (s/rev). Since each revolution covers the circumference C, the time for one revolution is:

t_rev = C / v

Finally, the number of revolutions per second is given by the reciprocal of the time for one revolution:

Rev/s = 1 / t_rev

Let's calculate the required number of revolutions per second using the given values. Assuming the acceleration due to gravity is approximately 9.8 m/s²:

r = 0.512 m (radius)

θ = 54.0° (angle)

g = 9.8 m/s² (acceleration due to gravity)

First, calculate the arc length s:

s = (54.0°) * (0.512 m) = 27.648 m

Next, calculate the required speed v using the centripetal acceleration equation:

v^2 / (2πr) = g

v^2 / (2π * 0.512 m) = 9.8 m/s²

v^2 = (2π * 0.512 m) * (9.8 m/s²)

v^2 = 10.0384 m²/s²

v ≈ 3.1687 m/s

Now, calculate the time for one revolution:

t_rev = (2π * 0.512 m) / (3.1687 m/s) ≈ 3.2321 s/rev

Finally, calculate the number of revolutions per second:

Rev/s = 1 / (3.2321 s/rev) ≈ 0.3097 rev/s

Therefore, the cylinder should make approximately 0.3097 revolutions per second in order for the clothes to lose contact with the wall at an angle of 54.0°.

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Một xe máy khởi hành a đến b cách nhau 160 km sau 1 giờ ô tô đi từ b đến a hai xe gặp nhau tại c cách b 72 km biết vận tốc ô tô hơn vận tốc xe máy là 20 km. Tính vận tốc mỗi xe

Answers

Answer:

74

Step-by-step explanation:

well, you see, потому что я плохая сука-ниггер, да бруддахол лмао

The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination.

A graph on a coordinate plane titled Distance Remaining Over Time. The x-axis is labeled time (in hours), numbered 1 to 8, and the y-axis is labeled miles to destination, numbered 50 to 400. A straight line with a negative slope starts at point (0, 350) and ends at point (7, 0).

Which statement is true?

Answers

Answer:

B- For each hour that Michelle drove, she traveled an additional 50 miles.

Step-by-step explanation:

The statement that is true is For each hour that Michelle drove, she traveled an additional 50 miles.

What is a graph?

The graph shows the relationship between a distance and the time .

With the graph interpretation, it display the relationship between the  number of hours that Michelle is driving as well as the distance, and it can be deduced that it started at  0 hours, and distance of 350 miles

Hence, option B is correct because  Michelle drove, an additional 50 miles since at zero y-coordinate was  no more distance to cover.

Check the graph at the attachment.

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The graph shows the relationship between the number of hours that Michelle has been driving and the distance

A dog groomer charges $39.50. The dog’s owner wants to give a 15% tip. What would be the total cost, including the tip? Round to the nearest cent.

Answers

Answer:45.43

Step-by-step explanation:39.50 plus 15 percent equal 45.425 and 45.425 rounded to the nearest cent is 45.43

Please help ASAP!

An ice cream factory makes 280 quarts of ice cream in 2 hours. How many quarts could be made in 36 hours? What was the rate per day?

Answers

Answer: 10,080

Step-by-step explanation:

280 x 36 = 10,080

If I got this wrong sorry, but the best way to find it is by dividing the number and hours Ik it doesn't make sense, I'm bad at explaining.

Answer:In 48 hours, 1,344 quarts of ice cream can be made.

The rate per day is 672 quarts of ice cream.

Step-by-step explanation:

twelve more than two times a
number is twenty-two

Answers

Answer:

5 is the number

Step-by-step explanation:

2x + 12 = 22

2x+12-12 = 22-12

2x = 10

2x÷2 = 10÷2

x=5

Plug x back in the equation and check the answer.

2(5)+12 = 22

10+12 = 22

22=22

It checks out!



Write each radian measure in degrees. If necessary, round your answer to the nearest degree.

5π/6

Answers

The radian measure 5π/6 is equivalent to 150 degrees. To convert radians to degrees, we can use the formula:

Degrees = Radians × (180/π)

In this case, we have the radian measure 5π/6. Plugging this into the formula, we get:
Degrees = (5π/6) × (180/π)

The π cancels out, leaving us with:
Degrees = (5/6) × 180

Simplifying further:
Degrees = (5/6) ×

180 = 150

Therefore, the radian measure 5π/6 is equivalent to 150 degrees.

To convert radians to degrees, we can use the formula

Degrees = Radians × (180/π). In this case, we have the radian measure 5π/6. Plugging this into the formula, we get Degrees = (5π/6) × (180/π). The π cancels out, leaving us with

Degrees = (5/6) × 180. Simplifying further, we find that the radian measure 5π/6 is equivalent to 150 degrees.

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Which product is negative

Answers

Answer:

a product is negative when there is one negative sign with a numbe

Step-by-step explanation:

as an example...

-5 x 7 = -35

Answer: -1,-2,-3,-4,-5,-6,-7,-8,-9,-10,-11,-12,-13,-14, and more

Step-by-step explanation:

How do you write 10 more than a number?.

Answers

To write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10.

To write 10 more than a number, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.

In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 10 + Number = N+10.

This notation means that we are adding 10 to a number, which results in N+10. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is N+10.

Another way to write 10 more than a number is to use the phrase "10 plus a number". This phrase indicates that we are adding 10 to a number to get N+10.

Therefore, In short, to write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10. This means that we are adding 10 to a number, resulting in N+10. It can also be written as "10 plus N", indicating the same operation.

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complete the sentence. the midpoint btween 2 and 10 is

Answers

Answer:

6

Step-by-step explanation:

Calcular el valor de:
(por favor con proceso, si quieren después les doy más puntos)

Calcular el valor de:(por favor con proceso, si quieren despus les doy ms puntos)

Answers

The simplified expression is R = \(4^{14}/2^8\)

We have,

\(R = 4^{-7}2^{12} 4^{10} / 2^{20}4^{-4}\)

Now,

The exponents that have the same base can be combined by adding the powers.

Now,

The expression can be written as,

\(R = 4^{(-7+10+4)}2^{(12-20)}\)

R = \(4^{14}2^{-8}\)

or

R = \(4^{14}/2^8\)

Thus,

The simplified expression is R = \(4^{14}/2^8\)

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A business purchases a theatre system for $2,500. If the value of the system decreases at a
rate of 13% per year, how much is the system worth after 2 years?
Please show how to do it, because I need to know how to do it again

Answers

Answer:

the system will be worth $1892.25 after 2 years.

Explanation:

as the value decreases: \(\sf A = P(1 - \frac{r}{n})^{nt}\) ......notice the ' - '  as its *decreases*

given:

P = 2500n = 1 per year t = 2 yearsr = 13%

solve:

\(\sf A = 2500(1 - \frac{0.13}{1})^{1*2}\)

\(\sf A = 1892.25\)

another way of doing it easily is:

[ $2500 * (100- 13)% ] * (100- 13)% = $1892.25

P=2500r=13t=2

Use compound interest formula

\(\\ \rm\hookrightarrow P(1-r/100)^t\)

\(\\ \rm\hookrightarrow 2500(1+0.13)^2\)

\(\\ \rm\hookrightarrow 2500(0.87)^2\)

\(\\ \rm\hookrightarrow 2500(0.76)\)

\(\\ \rm\hookrightarrow 1900\)

A chemist has to mix a 25% acid solution with a 35% acid solution. How many liters of each should be mixed to make 20 L of 32% acid solution?​

Answers

To make 20 L of 32% acid solution, you need to mix 8 L of 25% acid solution with 12 L of 35% acid solution.

Part a) Suppose you are told that an atom with a mass number of 16 contains nine neutrons. Which elements is this?
Part b) Compound 1 - 10.0 g carbon + 13.32 g oxygen. What is the percentage oxygen in the compound?
Compound 2 - 10.0 g carbon + 26.64 g oxygen. What is the percentage oxygen in the compound?
Part c) Give the full atomic symbol for an atom that has 16 neutrons and an atomic number of 15. Express your answer as an isotope.
Part d) Classify each of the elements in the second column with a family name in the first column. Drag the tes on the left to the appropriate blanks on the right to complete the semtences.

Answers

An atom with mass number 16 and nine neutrons corresponds to nitrogen (N). The compound with 10.0 g carbon and 13.32 g oxygen has 57.1% oxygen, while the compound with 10.0 g carbon and 26.64 g oxygen has 72.8% oxygen. The atomic symbol for an atom with 16 neutrons and atomic number 15 is \(^{31}P\) (phosphorus isotope). Elements Li, Na, K, Rb are Alkali Metals; Be, Mg, Ca, Sr, Ba are Alkaline Earth Metals; F, Cl, Br, I are Halogens; He, Ne, Ar, Kr, Xe, Rn are Noble Gases.

Part a) An atom with a mass number of 16 and nine neutrons would have an atomic number of 7. The atomic number represents the number of protons in an atom, which uniquely identifies an element.

Therefore, the element with an atomic number of 7 is nitrogen (N). Nitrogen has a mass number of 14, but the given atom has an additional two neutrons.

Part b) To calculate the percentage of oxygen in a compound, we need to determine the mass of oxygen relative to the total mass of the compound and multiply by 100.

Compound 1: 10.0 g carbon + 13.32 g oxygen

The total mass of the compound is 10.0 g + 13.32 g = 23.32 g.

The mass percentage of oxygen is (13.32 g / 23.32 g) × 100% = 57.1%.

Compound 2: 10.0 g carbon + 26.64 g oxygen

The total mass of the compound is 10.0 g + 26.64 g = 36.64 g.

The mass percentage of oxygen is (26.64 g / 36.64 g) × 100% = 72.8%.

Part c) An atomic symbol represents an element and includes its atomic number as a subscript and the mass number as a superscript. Given 16 neutrons and an atomic number of 15, the element is phosphorus (P).

The atomic symbol for this isotope of phosphorus is ^31P (with 15 as the atomic number and 31 as the mass number).

Part d)

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

Therefore, the elements can be classified as follows:

Alkali Metals: Li, Na, K, Rb

Alkaline Earth Metals: Be, Mg, Ca, Sr, Ba

Halogens: F, Cl, Br, I

Noble Gases: He, Ne, Ar, Kr, Xe, Rn

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