Activity
An atom consists of electrons, protons, and neutrons. Each electron has a charge of -1, each proton has a charge of +1, and each neutron has no charge. If 3 electrons are removed from each of 4 atoms, what is the combined net change to the charge of the 4 atoms? Complete the steps below to solve this problem and others like it.
Part A
Three electrons are removed from each of 4 atoms. Write an expression to represent the net change on the charge for the group of atoms.

Part B
Simplify the expression obtained in part A and explain what the answer represents.

Part C
Here’s a similar problem. Write an expression for the net change in charge if two electrons are added to each of six atoms in a group. Also, write an expression that represents removing two protons each from a group of six atoms.

Part D
Simplify the two expressions in part C.

Part E
How are the two products in part D related?

Part F
Think about multiplying any two rational numbers. Based on this activity and your previous work, write a set of rules for finding the sign of the product based on the sign of the two numbers being multiplied.

Answers

Answer 1

Answer:

Step-by-step explanation:

A: The charge of each electron is -1, so the charge of three electrons is -3. Removing something is denoted by a negative sign. The expression that represents the removal of three electrons from each of four atoms is (-3)(-4).

B: (-3)(-4) = (-1)(3)(-1)(4) = (-1)(-1)(3)(4) = 12

The net change in the charge for the group of atoms is 12 (or +12); that is, the charge of the atoms increases by 12.

C: Adding two electrons to each of six atoms results in a net change in charge of (-2)(6). Removing two protons from each of six atoms results in a net change in charge of (2)(-6).

D: (-2)(6) = (-1)(2)(6) = (-1)(12) = -12

(2)(-6) = (2)(6)(-1) = (12)(-1) = -12

E: The products are the same: -12.

F: If the signs of the numbers are the same, the product is positive. If the signs of the numbers are different, the product is negative.

Answer 2

Answer:

A)

The charge of each electron is -1, so the charge of three electrons is -3. Removing something is denoted by a negative sign. The expression that represents the removal of three electrons from each of four atoms is (-3)(-4).

B)

(-3)(-4) = (-1)(3)(-1)(4) = (-1)(-1)(3)(4) = 12

The net change in the charge for the group of atoms is 12 (or +12); that is, the charge of the atoms increases by 12.

C)

Adding two electrons to each of six atoms results in a net change in charge of (-2)(6). Removing two protons from each of six atoms results in a net change in charge of (2)(-6).

D)

(-2)(6) = (-1)(2)(6) = (-1)(12) = -12

(2)(-6) = (2)(6)(-1) = (12)(-1) = -12

E)

The products are the same: -12.

F)

If the signs of the numbers are the same, the product is positive. If the signs of the numbers are different, the product is negative.

solved it on edmentum <3


Related Questions

The right triangle ABC, shown below is reflected over the line y = -x. Where will the point C' be located?

Answers

Answer:

(4, -3)

Step-by-step explanation:

It says my answers need to be at least 20 characters long so I had to write this.

This questions is extremely hard, could someone please answer what 5+8 is?

Answers

Answer:

13

Step-by-step explanation:


13 is the answer, hope this helped.

Please help ASAP 4 and 5 will mark brainliest and give 10 points

Answers

Answer

I know the answer to number 4 is No

Step-by-step explanation:

Because when you plug the coordinates (8,-44) into the equation y=-7x+6 it gives the wrong output of -50

Helppp I will give brainiest. I will have three more questions after.

Answers

Answer:

The answer is 71.4

Step-by-step explanation:

357 / 5 = 71.4

y = 5x + 2 and y = 5x – 1 parallel, perpendicular, or neither

Answers

Answer:

Parallel

Step-by-step explanation:

Parallel lines have the same slope, in this equation it is a slope of 5.

The given lines are parallel in nature.

What is slope?

Numerical measure of a line's inclination relative to the horizontal.

Equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation.

Given:

y = 5x + 2 and y = 5x – 1

The slope for line 1 is 5.

and, the slope for line 2 is 5.

For, perpendicular line the slope of both lines are negative inverse relation.

But here the slope of both line are same which have parallel nature.

Hence, both lines are parallel in nature.

Learn more about slope here:

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Create an equation of a line that crosses the y-axis at the origin and has a slope of 1/2

Answers

Answer:

since the line goes through the origin you dont need a y intercept.

y= x/2

or y= 1/2 x

May anyone please help me?

Answers

Answer:

B

Step-by-step explanation:


What is the slope of the line that passes through the points (3, 10) and
(-13, 2)?
The answer choices are
M=3
M=-2
M=-3
M=1/2

Answers

Answer: 1/2

Step-by-step explanation:

2-10/ -13-3

-8/ -16

_____

    2

1/2

Help, this is proportional relationships.

Answers

Answer:

B

Step-by-step explanation:

John has a piece of clay that weighs 12 1/2 pounds. He divides the clay into 5 equal pieces. How much does each piece weigh?

Answers

Answer:

2.44

Step-by-step explanation:

12 1/2 / 5 =2.44

POLYNOMIALS QUESTION!!!

Answers

Answer:

The new area of the smaller rectangle is 16 - x² units²

Step-by-step explanation:

The dimensions of the small rectangles are 2 + x and 2 - x

∵ The length of the small rectangle is 2 + x units

∵ The length is adding by 2 units

The new length = 2 + x + 2 = 4 + x units

∵ The width of the small rectangle is 2 - x units

∵ The width is adding by 2 units

The new width = 2 - x + 2 = 4 - x units

Area of the rectangle = length × width

∴ The new area of the smaller rectangle = (4 + x) × (4 - x)

→ Simplify it by multiplying the 2 brackets

∵ (4 + x)(4 - x) = (4)(4) + (4)(-x) + (x)(4) + x(-x)

∴ (4 + x)(4 - x) = 16 + (-4x) + 4x + (-x²)

→ Remember (+)(-) = (-)

∴ (4 + x)(4 - x) = 16 - 4x + 4x - x²

→ Add the like terms

(4 + x)(4 - x) = 16 - x²

The new area of the smaller rectangle is 16 - x² units²

Distribute 3(x^2+2x)

Answers

Answer: 3x^2 +6x

Explanation: Multiply each term in the parentheses by 3.

Answer:3

3[tex]x^{2}[/tex]+6x

is this what you want?

Step-by-step explanation:

Line v passes through point (6, 6) and is perpendicular to the graph of y = 34x – 11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?

A. y = 34x + 2
B. y = –34x + 2
C. y = 43x + 2
D. y = –43x + 2
A B C OR D WHICH ONE

Answers

Answer:

y = (1/34)x + 346/34

Step-by-step explanation:

We are told that; Line v passes through point (6, 6) and is perpendicular to the graph of y = 34x – 11

Now, for a line to be perpendicular to another, it means the slope of one will be the negative reciprocal of the other.

Intercept of y = 34x – 11 will be; m = 34

Thus, slope of v is; -1/34

Now, Line w is parallel to line v and passes through point (–6, 10).

Since the slope of v = -1/34, it means the slope of w will be -1/34 because parallel lines have the same slope.

Thus, using slope intercept form, the equation of line w is;

y - 10 = (-1/34)(x - (-6))

y - 10 = x/34 + 6/34

Multiply through by 34 to get;

34y - 340 = x + 6

34y = x + 346

y = (1/34)x + 346/34

what is the difference between -0.4 and 44.4?

Answers

Answer:

44.8

Step-by-step explanation:

Answer: The difference between two numbers can be obtained by subtracting the smaller number from the bigger number. Here, - 0.4 is the smaller number, and 44.4 is the larger number. Therefore, the difference between the two is 44.4 - (- 0.4)

Step-by-step explanation: follow me and i will give you more answers to all your questions

how much will my total cost be if I pay 5% sales tax on subtotal of $28.95 ?​

Answers

Answer:

37.34

Step-by-step explanation:

I divided the total by the tax and added what I got from the division to the total to get the final total

round 63.796 to the nearest whole number

Answers

Answer:

the correct answer would be 64

Answer:

64

Step-by-step explanation:

63.796

63.80

63.8

64

Hope this helps! <3

Does this polynomial have a GCF greater than 1?

Answers

You didn't include a picture/ diagram

22
2. Which is the same as 3y-9x+6= 0

Answers

Answer:

y = 3x − 2

Step-by-step explanation:

Hope This Helps!

If a +5 = b + 3 and a + 5 = 12, then b +3=

That’s the question and this is Transitive Property of Equity

Answers

I guess it’s
b+3=b+5

can you also explain please thank you​

Answers

Answer: the rate of change would be 10 because if u look at x u just cout to u get to the next number and it would be 10!

Select the correct answer from each drop-down menu.



The Northville School Board has proposed this budget for the upcoming school year



• 20% for school staff's salaries



• 50% for school maintenance and upkeep



• 10% to refurbish the gymnasium



• 5% to upgrade the computer lab hardware



• 10% for new instruments for the music department



• 5% for new sports equipment



After a brief discussion, the school board revised the budget as follows:



• 20% for school staffs salanes



• 50% for school maintenance and upkeep



• 10% to refurbish the gymnasium



• 10% to upgrade the computer lab hardware



• 5% for new instruments for the music department



• 5% for new sports equipment



In this case, the opportunity cost for

Answers

Incomplete question. The completed question reads;

The Northville School Board has proposed this budget for the upcoming school year:

20% for school staff’s salaries

50% for school maintenance and upkeep

10% to refurbish the gymnasium

5% to upgrade the computer lab hardware

10% for new instruments for the music department

5% for new sports equipment

After a brief discussion, the school board revised the budget as follows:

20% for school staff’s salaries

50% for school maintenance and upkeep

10% to refurbish the gymnasium

10% to upgrade the computer lab hardware

5% for new instruments for the music department

5% for new sports equipment

In this case, the opportunity cost for (refurbishing the gym, upgrading the computer lab, or getting new instruments.) was ( upgrading the new computer lab hardware, getting new equipment, or getting new instruments?

Answer:

getting new instrument

Explanation:

Note that the term opportunity cost refers to the value or the cost of not selecting/benefitting from the other alternative option.

Comparing both budgets, it is observable that the budget for computer lab hardware was increased by 5%; and that of musical instruments was reduced by 5% according to The Northville School Board order of preference (importance).

Thus, we can say that the board decided to forgo some of the amount spent on musical instruments, but decided to increase spending on computer hardware.

Answer:

In this case, the opportunity cost for upgrading the computer lab hardware was getting new instruments.

Step-by-step explanation:

Edmentum

sum n=3 ^ infty (2n+5)
find the series shown​

Answers

Answer: Choice C) 11 + 13 + 15 + 17 + ...

=====================================================

Explanation:

We're adding terms in the form (2n+5)

The first term is when n = 3, so

2n+5 = 2*3+5 = 6+5 = 11

The next term is when n = 4, so

2n+5 = 2*4+5 = 8+5 = 13

The next term is when n = 5, so

2n+5 = 2*5+5 = 10+5 = 15

And so on

This means,

[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]

which matches with choice C. The three dots indicates the pattern goes on forever.

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

Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.

I.e,

[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]

Write an integer that represents the situation. Do not type any units, labels, or spaces or your answer will be scored as incorrect. Death Valley California is the lowest land in the United States, and portion of it lies two hundred eighty two feet below sea level.

Answers

Answer:

-282

Step-by-step explanation:

Given

[tex]Position = 282ft[/tex]

Required

Represent this with an integer.

Since, it is below the se level.

The integer is:

[tex]Integer = Sea\ Level - Position[/tex]

Where:

[tex]Sea\ Level=0[/tex]

[tex]Integer = Sea\ Level - Position[/tex]

[tex]Integer = 0 - 282[/tex]

[tex]Integer = -282[/tex]

Suppose that G(x) = F(x) + 5. Which statement best compares the graph of
G(x) with the graph of Fx)?
A. The graph of G(x) is the graph of Fx) shifted 5 units to the right.
B. The graph of G(x) is the graph of f(x) shifted 5 units down.
C. The graph of G(x) is the graph of F(x) shifted 5 units up.
D. The graph of G(x) is the graph of Fx) shifted 5 units to the left.

Answers

The form f(x) +5 is more similar to the form of a vertical shift so..,

G(x)= f(x) shifted 5units upward

Answer is C

The solution is, The correct option is (C).

The graph of G(x) is the graph of F(x) shifted 5 units up.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

here, we have,

Given:

G(x) = F(x) + 5

As, the transformation takes place so there is a positive five.

The value of the function for a given x is the vertical position of the point on the graph.

Adding 5 to the function value shifts the graph up 5 units.

Hence, The graph of G(x) is the graph of F(x) shifted 5 units up.

Learn more about graph here:

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On your own paper, change 7/8 to a
decimal and type in the answer:

Answers

Answer:

.125 is equal to 1/8 so do .125 times 7 and that equals .875

Step-by-step explanation:

.125=1/8

.125x7=.875

Answer:

0.875

Step-by-step explanation:

to convert a fraction into a decimal you divide the numerator by the denominator

You play basketball At your schools indoor stadium. You have two payment options. Option A is to buy a membership card for $20 and pay $2 each time you go to the gym, t. Option B is to pay $4 each time you go. After how many trips to the gym will the cost be the same?

Answers

Answer:

10 trips

Step-by-step explanation:

Let the number of trips to the gym be represented by t

Option A is to buy a membership card for $20 and pay $2 each time you go to the gym.

$20 + $2× t

20 + 2t

Option B is to pay $4 each time you go.

$4 × t

= 4t

After how many trips to the gym will the cost be the same?

Option A = Option B

20 + 2t = 4t

Collect like terms

20 = 4t - 2t

20 = 2t

t = 20/2

t = 10 trips.

After 10 trips, the gym cost will be the same.

What is the length of leg s of the triangle below?

Answers

Answer: S=4 “C is correct”

Step-by-step explanation:

Both legs equal each other so if one leg is 4 the other leg is 4. I got the answer right in the Apex quiz.

i need help on this ASAP ill give thanks and 5 stars

Answers

4: 25/42 5: 12 32/89 6:34 The slash marks (/) represents the fraction bar, and the 5th one is a mixed number

What is the length of ST?
S
T T
-
+
mm
- 2 - 1
2
3

Answers

Answer:

5 ??????????????????????????????????

14.49 inches

I think oop :)

Can you help, Solve for x. -2 + 3x = 2х + 6 +
X

Answers

Answer:

trick question

Step-by-step explanation:

The equation cannot be answered since if you add like terms you have 3 x on each side but different total values

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