Question text The diameter of a hydrogen atom is about \(5\times10^{-11}\) meter. Suppose \(8.4\times10^8\) hydrogen atoms were arranged side by side in a straight line. Multiply these numbers to find the length of this line of atoms. What is the length in scientific notation?

Answers

Answer 1

Answer: 4.2 x 10⁻⁴m

Step-by-step explanation: Scientific Notation is a method of writing a very large or very small number. It consists in any real number between 1 and 10 multiplied by any power of 10 (positive or negative).

The diameter of hydrogen is 5x10⁻¹¹m. There are 8.4x10⁸ atoms of hydrogen.

To determine the length of the line of atoms, you could add the diameter the number of atoms or multiply the diameter by the number of atoms:

L = 5x10⁻¹¹ * 8.4x10⁸

As it is multiplication, you can mutiply the numbers and then add the power of 10, since they are in the same base:

L = 42 x 10⁻³m

or moving comma to the left:

L = 4.2 x 10⁻⁴m

The length of the line of hydrogen atoms, in scientific notation is 4.2x10⁻⁴m


Related Questions

The play director 790 hours preparing for a plane that time include attending 35 rehearsals that took varying amount of time in spending 93 3/4 hours on the other responsibilities related to the play. What question does the equation 3/5 x + 93 3/4 equal 190 help answer? A. How much longer did the director spend on rehearsals and on other responsibilities? B. What was the average length of each rehearsal? C. How long was each rehearsal?

Answers

Complete question :

The play director 190 hours preparing for a plane that time include attending 35 rehearsals that took varying amount of time in spending 93 3/4 hours on the other responsibilities related to the play. What question does the equation 3/5 x + 93 3/4 equal 190 help answer? A. How much longer did the director spend on rehearsals and on other responsibilities? B. What was the average length of each rehearsal? C. How long was each rehearsal?

Answer: C. How long was each rehearsal?

Step-by-step explanation:

Total time spent preparing for play = 790 hours

Of the 190 hours :

Number of rehearsals = 35

Others = 93 3/4 hours

What question does the equation 35 x + 93 3/4 equal 190

35x + 93 3/4 = 190

(Number of rehearsals) * x + others = total time

x = time spent on each rehearsal

35x = 190 - 93 3/4

35x = 96.25

x = 96.25 / 35

x = 2.75 hours

Each rehearsal took 2.75 hours

NEED HELP ASAP! Will mark brainliest

Answers

Answer:

ST = 52

SW = 54

WV = 54

Step-by-step explanation:

Because TW is a median line, that means that SW and WV are the same length. So, SW = WV or:

2x + 30 = 5x -6

We can then rearrange to have all the x's on one side like so:

2x - 2x + 30 = 5x -2x -6

30 = 3x -6

30 + 6 = 3x -6 +6

36 = 3x

Then, we divide both sides by 3 to find x by itself:

[tex] \frac{36}{3} = \frac{3x}{3} [/tex]

12 = x

To finish, replace x with 12 in each equation:

ST = 12 + 40

ST = 52

SW = 2(12) + 30

SW = 24 + 30

SW = 54

WV = 5(12) -6

WV = 60 -6

WV = 54

What is 7,260 divided by 83

Answers

Answer:

87.46987952

Step-by-step explanation:

7260/83=87.46987952

Which statement about the ordered pairs (2, −9) and (3, −6) is true for the equation 5x−y/3=13?

Answers

Answer:

(2,-9)

Step-by-step explanation:

5.2+9/3=13(?)

10+3=13

or

5.3+6/3=13(?)

15+2=17

find the midpoint between each pair
(4,8) and (-6,3)​

Answers

Answer:

12,-1.5

Step-by-step explanation:

(4,8)

4+8

12

12/2

6

(-6,3)

-6+3

-3

-3/2

-1.5

Answer:

12,-1.5

Step-by-step explanation:

Which of the equations are true identities? A. (x-2y)^2=x^2-4xy+4y^2 B. (m+1)^2-m^2=1

Answers

Answer:

Only A

Step-by-step explanation:

The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to s units: V = 4s3 If s = 2.5 units, what is the value of V?

Answers

Answer:

The total volume is 62.5.-

Step-by-step explanation:

Giving the following information:

The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to "s" units:

V = 4*(s^3)

Now, the total volume if s=2.5:

V= 4*(2.5^3)

V= 4*15.625

V= 62.5

The total volume is 62.5.-

Answer:

30 square units

Step-by-step explanation:

4 x 2.5 units= 10.

take the 3 from the V, (4s³).

Multiply that.

4 x 2.5 square units = 10

10 x ³ = 30 square units In total.

PS, Brainly has said answers were correct when they are actually wrong before, but it is also possible i am not correct. so Its up to you. :)

Ronnie buys 2 pairs of shoes for $50. Write an equation relating the total cost y to the number of pairs of shoes x.

Answers

Answer

Step-by-step explanation:

how do you Simplify 3^6 x 3

Answers

Answer:

3^7 or 2187

Step-by-step explanation:

Ut of a group of 145 students that were surveyed about sports, 31 said they play basketball and 59 said they play soccer. 18 of the students who said they play basketball said they also play soccer. If a student is chosen at random, find the probability.

Answers

Answer:

0.5806

Step-by-step explanation:

Out of a group of 145 students that were surveyed about sports, 31 said they play basketball and 59 said they play soccer. 18 of the students who said they play basketball said they also play soccer. If a student is chosen at random, find the probability. P (Soccer |Basketball).

Solution:

P(soccer) = number of students playing soccer/ total number of students.

P(soccer) = 59/145

P(basketball) = number of students playing basketball/ total number of students.

P(basketball) = 31/145

P(soccer and basketball) = number of students playing soccer and basketball/ total number of students.

P(soccer and basketball) = 18/145

From Bayes theorem:

P(A | B) = P(A ∩ B) / P(B)

Hence:

[tex]P(soccer|basketball)=\frac{P(soccer\cap baketball)}{P(basketball)}=\frac{\frac{18}{145} }{\frac{31}{145} } =0.5806[/tex]

1) Jon is standing 60 feet from the base of a cliff watching a friend, Marvin, prepare to bungee jump. The angle of elevation to the top of the cliff is 73º. How high is the cliff Marvin is jumping from?​

Answers

Answer:

196 feet

Step-by-step explanation:

Let be A the point where Jon is standing, B the point at the base of the cliff and C the point where Marvin is standing, this situation resemble to a right triangle .AB us the distance from the base of the cliff, that is 60 feet.

m<BAC is 73° .We need to find BC.

Right angle is <ABC

tan73°=BC/AB

tan73°=x/60

x=tan73°*60=3.27*60=196 feet approximately.

the vaule of x is 5 2x+ 1 2x=9+ 9 2x

Answers

Answer:

I just know the answer hope this helps x= -9/28

If a-b, a+b are the zeros of x^2-4x+3 then (a, b) =
A) (3, 1)
B) (-3,-1)
C) (2, 1)
D) (-2,-1)​

Answers

Given:

α - β , α + β are the zeroes of x² - 4x + 3.

Find:

The coordinates of (a,b)

Solution:

(Let a = α & b = β).

On comparing with standard form of a quadratic equation i.e., ax² + bx + c = 0 ;

Let ;

a = 1

b = - 4

c = 3.

We know that,Sum of the zeroes = - b/a

⟹ α - β + α + β = - ( - 4)/1

⟹ 2α = 4

⟹ α = 4/2

⟹ α = 2

And,

Product of the zeroes = c/a

⟹ (α - β) * (α + β) = 3/1

(a + b) * (a - b) = a² - b².

⟹ α² - β² = 3

Putting the value of α we get,

⟹ (2)² - β² = 3

⟹ 4 - 3 = β²

⟹ 1 = β²

⟹ √1 = β

⟹ 1 = β

∴(a , b) = (α , β) = (2 , 1). (Option - C).

I hope it will help you.

Regards.

Answer:

Siso your answer refer in pic

Lara has 2 pieces of string. One is 15 feet long and the other is 12. For an art project, she wants to cut them up to produce many pieces of string that are all of the same length with no string left over. What is the greatest length, in feet, that she can make?

Answers

Answer:

3 feet

Step-by-step explanation:

Lara has 2 pieces of string. One is 15 feet long and the other is 12.

We solve this question using the Greatest Common Factor method.

We have to find the factors of 12 and 15

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 15 are: 1, 3, 5, 15

Then the greatest common factor is 3.

Therefore, the greatest length, in feet, that she can make is 3 feet

Determine the graph that represents the equation 2x - 10y = -20. (1 point)

Answers

Answer:

look at the picture

Step-by-step explanation:

Which order pair could you remove to make this a function?
(1, 3) (5, 0), (5, 3), (4, 0), (3, 3)

Answers

Answer: (5,0)

Step-by-step explanation:

You could remove this one, because for each input (x) there can only be 1 output (y)

So by removing (5,0) this becomes a function. 5 only has one output now, (3)

what is the perimeter and area for 6m and 4m rectangle floor

Answers

Answer:

perimeter = 20 area = 24

Step-by-step explanation:

add all the sides to find the perimeter and multiply two sides to find the area

Answer:

perimeter: 20

area: 24

Step-by-step explanation:

To do perimeter add all the sides together. so 6+4=10 then times 2 because there are 4 sides to a rectangle. not just 6 and 4(2 sides.)

Area: Multply them together. 6*4=24

50 POINTS

What is the range of the function f(x) = (x-1)^2
when the domain is {-4,0,4}

A- {1,9,25}

B- {-10,-2,6}

C- {1, 15}

D- {1,17}

Answers

Answer:

The answer is A

Step-by-step explanation:

you can refer to the picture that i have given

A $40 hat was on sale with a discount of 40%. What was the total amount Jill had to pay that includes 10% sales tax?

Answers

Answer:

I believe it is $17.6

Step-by-step explanation:

40 x 0.4 = 16 -------> 16 x 0.1 = 1.6

add 1.6 to $16 which equals 17.6

One pipe can fill a tank in 8 minutes. A second can fill it in 12 minutes, and a third can fill it in 24 minutes. If the tank is empty, how long will it take the three pipes, operating together, to fill it?

Answers

Answer:

This is a trick answer but the answer is 24 minutes

Step-by-step explanation:

They have already added up the time and its 24 if you read 1 is 8 the second is 12 and 3 pipes are 24

Also lemme get brainlist

Answer:

4.8 min (4 min 48 seconds)

Step-by-step explanation:

In one minute:

Pipe A fills the tank 1/8th full

Pipe B fills the tank 1/12 full

Pipe C fills the tank 1/24th full

1/8 + 1/12 + 1/24 = 5/24

So the the at which they will fill the tank is 24/5,

or 4.8 minutes (4 minutes 48 seconds)

Mrs.Jones got a new freezer. she plugged it in, and it began to get cold. The temperature dropped 12 degrees every hour for 6 hours. What was the change in the temperature in the freezer over those 6 hours?

Answers

Answer:

-72

Step-by-step explanation:

Its pretty simple but I know that we can forget sometime, all you need to do is multiply.

12 x 6 = T

12 x 6 = 72

Find mZT.
35
25°
R
T

Answers

Answer:

you have to post a pic with the problem

Step-by-step explanation:

there's a button that looks like a clip of you press that it'll give you a option to take a photo

Help!! I need help with this

Answers

Answer:

the answer is 1

for example, 1÷1 equals one. a number that is the same divided is always 1. another example. 2÷2 is 1.

Answer: The answer is 1

Step-by-step explanation:Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

149×914=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

14×99×14=126126

Since 126 divided by 126 equals 1 then,

126126=1

Therefore:

149÷149=1

Solution by FormulasApply the fractions formula for division, to

149÷149

and solve

14×99×14

=126126

=1

Therefore:

149÷149=1

1) A motorcycle travels 300 miles south in 3 hours. What is the average velocity?
2)If the velocity of a car is 45 kilometers per hour west, how far can it travel in 0.5 hours?
3)An airplane travels 4,425 kilometers west in 5 hours. What is its average velocity?

Answers

Answer:

you need to divide distance over time and finally  you can get your answer

Step-by-step explanation:

I HAVE TO TURN THIS IN 5 MIN!!!
WILL MARK BRAINLIEST!!!
What is the slope of the image below?

Answers

Answer:

x= -2

Step-by-step explanation:

While sorting some change into piggy banks, Rachel put 5 coins in the first piggy bank, 6 coins in the second piggy bank, 8 coins in the third piggy bank, and 11 coins in the fourth piggy bank. If this pattern continues, how many coins will Rachel put in the fifth piggy bank? coins​

Answers

Answer:

15 coins

Step-by-step explanation:

There is a pattern. She adds 1 coin, then 2, then 3. She will add four to the next piggy bank.

please answer all im begging you

Answers

Answer:

b. 6.4

c. 1.2

d. 1.32

Step-by-step explanation:

Answer:

1. 6.4

2. 1.2

3. 1.32

Step-by-step explanation:

How to solve the addition of integers?

To add integers having the same sign, keep the same sign, and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

How to solve the subtraction of integers?

To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative. If the signs are different subtract the smaller absolute value from the larger absolute value.

Javier buys 4 candy bars for $12. What is the constant of
proportionality, k? *
A k=0.75
Bk= 0.33
C k=3
D k=48

Answers

Answer:

Your answer would be C. K = 3

Step-by-step explanation:

Answer:

your answer should be three

Step-by-step explanation:

12 divided by 4 equals 3

Cary is having a party and can only afford to spend no more than $40 on food. She wants to order at least 3 pizzas which cost $6 a pie, and at least 2 orders of wings that cost $8 per order. Select all the inequalities she would have to graph to determine how many pizzas and wings she could order. Let x stand for the number of pizzas and y stand for the number of wings.

Answers

do you want us to show how we solved it too?

Answer:

y ≥ 2

x ≥ 3

6x + 8y ≤ 40

Step-by-step explanation:

Which absolute value equation represents numbers with a distance of 5 from 0?
A 2 = -5
B 2 + 5 = 0
C 2 – 5 = 0
D 2 = 5

Answers

Answer:

A = -5 is the answer your welcome

A: 2=-5 is the correct answer
hope this helps you!
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