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

I need some help on this problem.

Answers

Answer:

It would be <XWY & <UTW.

Xwy and str I believe

2\3n = -12 what value of n makes this equation true

Answers

Answer:

-0.055555555555556

Step-by-step explanation:

The teacher separated her group of 28 students into 2 groups. One group has 4 more than twice as many students as the other group. How many students are in each group?

Answers

Answer:

one group has 12. one has 16. 12 + 16 = 28. 16 is 4 more than 12

What should be the first step to solve the equation?
2x + 9(x – 1) = 8(2x + 2) – 5
Combine like terms on each side of the equation.
Use the distributive property on each side of the equation.
Use the subtraction property of equality to subtract 5 from each side of the equation.
Use the addition property of equality to add 2x to each side of the equation.

Answers

You would use the distributive property on each side of the equation

Answer: B  

(Use the distributive property on each side of the equation.)

Step-by-step explanation:

(-2,-4) and (6,7)
Need help show steps too

Answers

Answer:

Step-by-step explanation:

period

Simplify the expression

Answers

Answer:

B

Step-by-step explanation:

which of the following value is larger 7 x 10^2 or 2x10^5

Answers

Answer:

2x10^5 is greater

Step-by-step explanation:

Answer:

The value of  [tex]2*10^5[/tex] is larger.

Step-by-step explanation:

[tex]2*10^5=200000[/tex]

[tex]7*10^2=700[/tex]

[tex]2*10^5>7*10^2[/tex]

I hope this helps! (✿◕‿◕✿)

Solve for n 3m+2n=8 how do you do theseee?

Answers

Sub tract the 3m and you get 2n=8-3m then divide by 2 and you get n=8/2 - 3m/2 and that can be reduced to n= 4 - 3m/2

A rectangle has a length that is 4 ft more
than its width. What are the length and
width of the rectangle if the rectangle has
a perimeter of 48 ft?

Answers

Answer:

length = 14 width = 10

Step-by-step explanation:

48/4=12

10+10+14+14=48

Width = W = 10 ft

Length = L = 14 ft

P = perimeter = 48 ft

Explanation:


P rectangle = 2L+ 2W
L = W + 4
P = 48

Substitute into formula:
P rectangle = 2L + 2W
48 = 2( W + 4 ) + 2W
48 = 2W + 8 + 2 W
48= 4W + 8
48 - 8 = 4W
40 = 4W
W = 40/4 = 10
W = 10

The rectangle has a length that is 4 ft more than its width : L = W + 4

Substitute : L = 10 + 4 = 14
L = 14 ft

I hope this help!!!

Give 5 reasons explaining why math is your favorite subject.

Give 5 reasons why you dont like math.

Give 5 areas that math can help you now or in the future.

Answers

Answer:Math is important

Step-by-step explanation:

It could help you get into collage and get a good job and with that you could start your life.

Answer:

1.)

I love working with numbers

I love math because of what a challenge it is

I love math because I can become a engineer

I love math because I can also become a doctor with it

I love math because it is useful

2.)

I don't like math because of the word problems

I don't like math because it sometimes gets too easy

I don't like math because I usually have to help others

I don't like math because people call me a nerd

I don't like math because it makes me explain in words

3.)

when your in the store and it helps you with knowing how much your spending

lets you know about if the discount in the store is really good or bad

helps you with becoming certain things when you grow up

it will help you with most of your jobs

Will help others if you know it, you can share your knowledge

Step-by-step explanation:

brainlist pls :>

When I graph the inequality symbol > should it be a open or closed
circle on the number line?

Answers

Answer:

It should be open.

Step-by-step explanation:

Hope this helped!

it should be opened i believe

Write sec 325° in terms of the secant of'a positive acute angle.

Answers

Answer:

sec35°

Step-by-step explanation:

sec325° = sec(360 - 325)° = sec35°

The secant of a positive acute angle of sec 325° = sec 35° = 1.22077

What are Trigonometric Ratios?

Trigonometry values are all about the study of standard angles for a given triangle with respect to trigonometric ratios.The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given data ,

The trigonometric ratio is = sec 325°

Now , to express the ratio in terms of a positive acute angle , we take the four quadrants of the graph and express the angle in the first quadrant.

And , 325° lies on the 4th Quadrant , where all cosines and secants are positive.

Therefore , sec 325° = sec ( 360° - 35° )

                                  = sec ( 35° )

                                  =1.22077

Hence , the secant of a positive acute angle of sec 325° = sec 35° = 1.22077

To learn more about trigonometric ratio click :

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What is the slope intercept form of this line?

Answers

Answer:

the desired equation is y = (-3/4)x + 7

Step-by-step explanation:

If you start at (0, 7) and move along the line to (4, 4), you'll see that x increases by 4 (this is the 'run') and y decreases by 3 (this is the 'rise').  Thus, the slope of this line is m = rise/run = -3/4.

Let's use this m = -3/4 and the point (0, 7) to write the equation of this line.

(0, 7) is actually the y-intercept.

Thus, the desired equation is y = (-3/4)x + 7.

A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. Without
looking, what is the probability that Fiona pulls out a marble that is not white?

Answers

Answer:

85%

Step-by-step explanation:

The probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

What is the probability of an event?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event.

A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles.  The total number of marbles in the bowl is,

[tex]n=5+2+10+3\\n=20[/tex]

The number of white balls in the bowl is 3. Thus, the probability that Fiona pulls out a marble that is white, is,

[tex]P=\dfrac{3}{20}[/tex]

The probability that Fiona pulls out a marble that is not white is,

[tex]P^{-1}=1-\dfrac{3}{20}\\P^{-1}=\dfrac{20-3}{20}\\P^{-1}=\dfrac{17}{20}[/tex]

Thus, the probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

Learn more about the probability here;

https://brainly.com/question/24756209

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Time sensitive mark best as brainiest


The density of a certain material is such that it weighs 4 kilograms

per cubic foot of volume. Express this density in ounces per cubic

meter. Round your answer to the nearest whole number.

Answers

Answer:

4986 ounces/m³

Step-by-step explanation:

1 kilogram = 35.274 ounces

1 cubic foot = 0.0283 cubic metre

We are converting kg/ft³ to ounces/m³

Hence:

4kg/ft³ × 35.274 ounces/ 1 kg × 1 ft³/0.0283m³

= 4985.7243816 ounces/m³

Approximately to the nearest whole number = 4986 ounces/m³

N 0 Q. What are the solutions to the graphed system?

A. 0,-2
B. -2,0 and 2,0
C. 3,1
D. 0,-2 and 3,1​

Answers

Answer:

Answer is D

Step-by-step explanation:

Suppose brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 5 kg of salt. The brine enters the tank at a rate of 5L/min. The mixture, kept uniform by stirring, is flowing out at the rate of 5 L/min. (The same conditions as in the previous problem). After 10 min, a leak develops in the tank and an additional liter per minute of mixture flows out of the tank.

(a) Find the concentration, in kilograms per liter, of salt in the tank after 10 min. [Hint: Let A denote thenumber of kilograms of salt in the tank at t minutes after the process begins and use the fact that rate of increase in A = rate of input - rate of exit.

(b) After 10 min, a leak develops in the tank and an additional liter per minute of mixture flows out of the tank. What will be the concentration, in kilograms per liter, of salt in the tank 20 min after the leak develops?

Answers

Answer:

(a) 0.288 kg/liter

(b) 0.061408 kg/liter

Step-by-step explanation:

(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute

The mass of salt exiting the tank per minute = 5 × (5 + x)/500

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;

Δ/dt = x - 5 × (5 + x)/500

The increase, in mass, Δ, after an increase in time, dt, is therefore;

Δ = (x - 5 × (5 + x)/500)·dt

Integrating with a graphing calculator, with limits 0, 10, gives;

Δ = (99·x - 5)/10

Substituting x = 1 gives

(99 × 1 - 5)/10 = 9.4 kg

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)

∴ The concentration of the salt and water in the tank after 10 minutes =  (5 + 9.4)/500 = (14.4)/500 = 0.288

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter

(b) With the added leak, we now have;

Δ/dt = x - 6 × (14.4 + x)/500

Δ = x - 6 × (14.4 + x)/500·dt

Integrating with a graphing calculator, with limits 0, 20, gives;

Δ = 19.76·x -3.456 = 16.304

Where x = 1

The increase in mass after an increase in = 16.304 kg

The total mass = 16.304 + 14.4 = 30.704 kg

The concentration of the salt in the tank then becomes;

Concentration = 30.704/500 = 0.061408 kg/liter.

Calculating the salt concentration per liter of water we will find:

(a) [tex]0.288 kg/liter[/tex]

(b) [tex]0.061408 kg/liter[/tex]

The mass of salt entering the tank per minute:

[tex]X= (0.2)( 5) = 1 kg/minute[/tex]

The mass of salt exiting the tank per minute:

 [tex]\frac{5 * (5 + x)}{500}[/tex]

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;  

[tex]\frac{\Delta}{dt} = \frac{x - 5 * (5 + x)}{500}[/tex]

The increase, in mass, Δ, after an increase in time, dt, is therefore;

[tex]\Delta = (x - 5 * (5 + x)/500)dt[/tex]

Integrating with a graphing calculator, with limits 0 at 10, gives;  

[tex]\Delta = (99X - 5)/10[/tex]

Substituting x = 1 gives:

[tex](99)( 1 - 5)/10 = 9.4 kg[/tex]

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank). The concentration of the salt and water in the tank after 10 minutes:

[tex](5 + 9.4)/500 = (14.4)/500 = 0.288[/tex]

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter.

(b) With the added leak, we now have;

[tex]\frac{\Delta}{dt} = \frac{ (x - 6 ) (14.4 + x}{500} \\\Delta = \frac{(x - 6)(14.4 + x)}{500} dt[/tex]

Integrating with a graphing calculator, with limits 0 at 20, gives;

[tex]\int\limits^{20} _0 {\frac{(x - 6)(14.4 + x)}{500} dt}[/tex]

Where x = 1:

[tex]\Delta = 19.76(1) -3.456 = 16.304[/tex]

The increase in mass after an increase in = 16.304 kg. The total mass:

[tex]16.304 + 14.4 = 30.704 kg[/tex]

The concentration of the salt in the tank then becomes;

[tex]30.704/500 = 0.061408 kg/liter[/tex]

Learn more: brainly.com/question/11762787

Exit ticket help please​

Answers

Answer:

The answer is B

Step-by-step explanation:

I am learning the same thing somehow

Covert 45 1/2 % to a fraction

Answers

455/1000 should be the answer

need help pease its due at 11;59pm today explian

Answers

Answer:

65

Step-by-step explanation:

you add all the numbers inside.

80+35= 115

You have to make sure it equals to 180 to find angle 1.

Therefore, 180-115=65.

⚠️⚠️marking brainliest⚠️⚠️

It’s a math question :((

Answers

Answer:

slope: 3    y-intercept: 9

Step-by-step explanation: 19-10 is 9, and 6-3 is 3 9/3 is 3.

28-19 equals 9. 19-10 is 9, so 9 fills out that blank beside 10.

Answer:

slope is 3 and in the blank goes 1. and y intercepts line at y=1

encuentra el numero decimal equivalente a la fracción
7/10
198/100
85/100
45/100
1/4
3/2
3/8
1/9

Answers

7/10 = 0.7

198/100 = 1.98

85/100 = 0.85

45/100 = 0.45

1/4 = 0.25

3/2 = 1.5

3/8 = 0.375

1/9 = 0.11111111    ( goes on forever)        ( sigue para siempre )

Hope it Helps!

¡Espero eso ayude!

Find the cos of angle c
A.3/5
B.6/5
C.5/3
D.1

Answers

I think the answer would be 3/5

2. A package delivery service has a truck that can hold 4200 pounds of cargo

and has a capacity of 480 cubic feet. The service handles two types of

packages: small, which weigh up to 25 pounds each and are no more than 3

cubic feet each; and large, which are 50 pounds each and are 5 cubic feet

each. The delivery service charges $5 for each small package and $8 for each

large package. Let x be the number of small packages and y be the number of

large packages in the truck. What is the maximum revenue per truck?

Answers

Answer:

$680

Step-by-step explanation:

Capacity of the truck: 4200 pounds and 480 cubic feet of cargo.

Small package: 25 pounds and 3 cubic feet each.

Large package: 50 pounds and 5 cubic feet each.

For x number of small packages:

25x pounds and 3x cubic feet

Let x = 8,

200 pounds and 24 cubic feet.

For y number of large packages:

50y pounds and 5y cubic feet

Let y = 80,

4000 pounds and 400 cubic feet.

Since delivery service charges $5 for each small package and $8 for each large package.

The maximum revenue per truck = ($5x + $8y)

                                                       = ( $5 x 8) + ($8 x 80)

                                                       = $680

Every Friday, Jesse puts $3 into his piggy bank. is it discrete or continuous?

Answers

Answer:

I would think continuous if she does it constantly every friday night

Step-by-step explanation:

Answer:

continuious

Step-by-step explanation:

What is the image of (-5, 6) after a reflection over the line y = -2

Answers

Answer:

I'm pretty sure it would be (5,6)

Step-by-step explanation:

Reflecting a point over the Y-axis would change the x-coordinate, but not the y-coordinate

9
show questions
Carol feeds her bird the same amount of food every day. Over the past 7 days, her bag of bird
food has decreased by 1 cups.

Answers

Answer: 1/7 of a cup

Step-by-step explanation:

7x=1 x=food per day

divide 7 from both sides

7 / 7x = 1 /7

x = 1/7

If f(1) = 1, what is f(3)?

Answers

Answer:

would be 3

Step-by-step explanation:

if 1 is 1 ,3 would be 3 ;-;

3b) Two pizzas are made to the same dimensions. The only difference is that
Pizza 1 is cut into pieces at 30° angles and Pizza 2 is cut at 45° angles. They are
sold by the slice. The slices for Pizza 1 sell for $1.45/slice and the slices for Pizza 2
sell for $1.75/slice. What is the difference in total sales between Pizza 2 and Pizza
1?

Answers

Step-by-step explanation:

$0.30 because they only sell 30 cents less/more than each other

(-16t - 2)(t - 5) is the same as 10+78t-16t^2 but in factored form. Explain how you know,

basically help me convert the factored form into the standard form

Answers

Answer:

10+78t-16t^2

Step-by-step explanation:

(-16t-2)(t-5)

-16t × t= -16t²

-16t × -5=80t

-2 × t= -2t

-2 × -5=10

-16t²+80t-2t+10= -16t^2+78+10

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