Mathematics Middle School

Measurements of atoms, such as amounts, distances, and weights, are often very large or very small when compared to measurements of things you can see or touch. Scientific notation represents numbers as a power of 10. This makes very large or small numbers easier to use and understand. Approximately 7,500,000,000,000 carbon atoms fit across the period that you make with your pencil. Express this number in scientific notation. (PLEASE ANSWER FAST I'LL GIVE BRAINLIEST ALSO PLEASE DO ALL THIS IS WORTH 30 POINTS)


Step 1 Rewrite the number with a decimal after the first nonzero digit.7.500000000000


Step 2 Find the number of places and the direction you moved the decimal. If a number does not show a decimal, the decimal is at the right end of the number.You moved the decimal 12 places to the left.


Step 3 Drop the zeros, and write the number of places you moved the decimal as a power of 10. If you moved the decimal to the right, the power is negative. If you moved the decimal to the left, the power is positive.7.5 × 10 12


Step 4 Reverse the process to change scientific notation back to a whole number. A positive power of 10 moves the decimal to the right. A negative power of 10 moves the decimal to the left.


(Answer 1, 2, 3, 4 and 5 )


1. A sample of gold contains 3,800,000,000,000,000,000 atoms. Express this number in scientific notation.


2. A sample of silver contains 400,000,000,000,000 atoms. Express this number in scientific notation.


3. A sample of carbon has a mass of 0.000000000000000000034 kg. Express this mass in scientific notation.


4. A sample of silicon contains 5.23 × 10^11 atoms. Write this amount as a whole number.


5. The mass of a proton is about 1.67 × 10 -27kg. Write this mass as a whole number

Answers

Answer 1

Answer:

Step-by-step explanation:

1)3.8 *10¹⁵

2)4.0*10¹⁴

3)30.4*10⁻²⁰

4)523,000,000,000 atoms

5)0.000 000 000 000 000 000 000 000 00167

Related Questions

Question 13

Crystal read 30 pages of a book in 12 minutes and 50 pages in 20 minutes. What is the constant of proportionality? Express your answer in decimal form.

Answers

Answer: 2.5

Step-by-step explanation:

50/20=2.5 pages per minute

please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!

Answers

The function for the points are  y = -15x - 5

How to determine the function

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

m is the slope of the liney - y₁ and (x - x₁) are the points

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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(Area of Polygons and Composite Figures MC)
the answer is 258 cm2

(Area of Polygons and Composite Figures MC)the answer is 258 cm2

Answers

Answer:

THE ANSWER OF THIS QUESTION IS 258 cm2

Answer:

Step-by-step explanation:

THE ANSWER OF THIS QUESTION IS 258 cm2

The following two-way table shows the data for the students of two different grades in a school:

Member of Science Club Not Member of Science Club Total
Grade 7
20
2
22
Grade 8
20
8
28
Total
40
10
50
Based on the relative row frequency, the students of which grade are more likely to be members of the science club?

answer choices

Grade 7

Grade 8

The students of both grades are equally likely to be members of the science club

No conclusion can be drawn about the chances of a student being a member of the science club

Answers

Answer:

blabity-booo

Step-by-step explanation:

i love  you ;)

Based on the relative row frequency, Grade 8 is more likely to have more members of the science club

A real company buys 7 sports cars for $8,500 each and 7 SUVS for 12,500 each. Using the distrubitive property, wirte an expression that u would find the total amount money spent. how much did the company spend in total. SHOW YOUR WORK

Answers

1.47 x 10⁵

Step-by-step explanation:

7 x 8,500= 59,500

7 x 12,500 = 87,500

147,000 = 1.47 x 10⁵

Answer:

8,500 times 7 is 59,500, and 12,500 times 7 is 87,500.

Step-by-step explanation:

Then add 59,500 and 87,500 to get 147,000. Hope that helps!

Maria would like to answer the question “How cold is it in January in New York?”
Why is this a question that statistics should be used to answer?

Answers

Answer:

Because you use statistics to find the temperature. You'll use statistics to find the mean, median, mode, outliers, etc. and be able to portray your data well.

Step-by-step explanation:

a group of 3 friends are practing for a track meet. the group is going to run 7 1/2 miles total. if they each run the same dostance, how far will each person run?​

a group of 3 friends are practing for a track meet. the group is going to run 7 1/2 miles total. if they

Answers

Answer:

2.5 miles each

Step-by-step explanation:

7 1/2 miles divided by 3 = 7.5/3 = 2.5 miles each

Answer:

2 1/2 miles each

Step-by-step explanation:

7 1/2 / 3= 2 1/2

Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?

Answers

To determine whether Keira's statement is correct, we need to analyze the information provided.

According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.

If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.

However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.

Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
in order to know if Keira has two tickets left, we need to know the first number of tickets without that number there is no way to find the remainder

You and your mom enter a drawing with 3 different prizes a total of 9 people enter

Answers

Answer:

the probability if that is what you are asking for is 1/3 of winning a prize

Step-by-step explanation:

Answer:

1/3 chance per each person of winning a prize

Step-by-step explanation:

Predict the cost of a meal for a family of four between $50.00 and $100.00. Be sure to include dollars and cents.

Part A: If the family has a 15%-off coupon, calculate the new price of the meal. Show all work or explain your steps. (2 points)

Part B: Calculate a 20% tip using the new price. What is the final cost of the meal? Show all work or explain your steps. (2 points)

Answers

Answer:

$51

Step-by-step explanation:

lets say 50, so 15% of 50 is 42.5 and + 20% for tip which is $51

The answer would be $51

Help I don't know this?

Help I don't know this?

Answers

The median lies centered between the data values, it is indicted by the vertical line in the center of the box. This occurs at 49.5.

option D: 49.5, the median.

49.5 is the median
Because the line is between the 49 and 50 which means it is 49.5

please help 40 POINTS

please help 40 POINTS

Answers

Answer:

2 2/3 bottles of soda

Step-by-step explanation:

(2/9)*12=

24/9=

2 6/9=

2 2/3

what is the maximum number of 14 pound turkeys that can be purchased with the money donated while still purchasing 100 total turkeys? 10 pound turkeys cost 9.25 and 14 pound turkey cost 12.75. Money limit is $1000.

Answers

Answer:

64.05$

Step-by-step explanation:

The snowfall data for Resort A are close to symmetric when they are shown in a box plot. The snowfall data for Resort B are not symmetric when they are shown in a box plot. Why is a box plot a good method to compare the data?

Answers

Answer:

Box and whisker plots are ideal for comparing distributions because the centre, spread and overall range are immediately apparent

Step-by-step explanation:

It is often used in explanatory data analysis

hope this helped

Answer:

When comparing two sets of data, a box plot can show whether either set of data is symmetric. If the data are symmetric, then the mean equals the median. If the data are not symmetric, then the median will be a better measure of center than the mean.

Step-by-step explanation:

Let F(X)=7x-1, G(X)=X^2+1, and H(X)=(x+1/7). Evaluate the expression (FGH)(6)

Answers

Answer:

\((F G H)(6) = \frac{1891}{7}\)

Step-by-step explanation:

Explanation:-

Given F(X)=7 x-1

          G(X)=x²+1, and

          H(X)=(x+ 1 /7)

(F G H)(6)  = (F G ) H(6)

               = \(F G ( 6 + \frac{1}{7} )\)    ( ∵ H(X)=(x+ 1 /7)

               = \(F G ( \frac{43}{7} )\)        

             =  \(F( (\frac{43}{7})^{2} +1)\) ( ∵  G(X)=x²+1)

            = \(F(\frac{(43)^{2}+49 }{49} )\)

            =   \(F(\frac{1898}{49} )\)        (∵  F(X)=7 x-1)

             \(= 7(\frac{1898}{49} )-1\)

              \(= (\frac{1898}{7} )-1\)

             \(= \frac{1898-7}{7} = \frac{1891}{7}\)

\((F G H)(6) = \frac{1891}{7}\)

           

Answer: I have no clue.

Step-by-step explanation: I Am in 7th grade.

Solve this system of equations using the substitution method.
Please help! Thank you! (,,•﹏•,,)

Solve this system of equations using the substitution method.Please help! Thank you! (,,,,)

Answers

y=-3x-9(eq 1)
y=-4x-13(eq 2)
Substitute eq1 into eq 2
3x-9=4x-13
Collect like terms
13-9=4x-3x
4=x
X=4
y=3x-9
y=3(4)-9
y=12-9
y=3

Sophia!! plz help

Express 4/12 in simplified form.

Answers

it is 1/3. divide by 4 on both of them, and there’s your answer!

Dear Rebecca,

   Your answer will be 1/3.

                           Your friend,

                   Sophia Lavender

Sophia!! plz help Express 4/12 in simplified form.

Kelly likes to fish at the lake near her house. She caught 8 fish last week, measured them, and put them back in the lake. The lengths of the fish, in inches, are shown.

9, 12, 10, 8, 11, 12, 13, 6

Assuming this data is representative of the fish in the lake, what is the mean length of the fish in the lake?

A.
10.125 inches

B.
1.875 inches

C.
3.5 inches

D.
10.5 inches

Answers

To find the mean, you must add all of the value and then divide by how many there were so
(9+12+10+8+11+12+13+6)/8
81/8
10.125 inches

if the sum of four times a number and four less than three times a number is seventeen

Answers

Answer:

13divided by 7

Step-by-step explanation:

\(4x + 3x - 4 = 17 \\ 7x - 4 = 17 \\ 7x = 17 - 4 \\ 7x = 13 \\ \frac{7x}{7} = \frac{13}{7 } \\ x = \frac{13}{7} or1 \times \frac{6}{7} \)

The required number is 3 .

It is required to find the number.

What is algebra?

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

Let the number be x

According to given question we have,

4x+3x-4=17

Compare the like terms we get,

7x=17+4

7x=21

x=3

The number is 3 .

Therefore, the required number is 3 .

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I'm so confused. I need help please

I'm so confused. I need help please

Answers

Answer:

2t³

Step-by-step explanation:

For this problem, we are dividing 16t⁴ by 8t. First, we should separate both of these terms into parts we can work with individually. So, we can easily divide 16 by 8, and we can also easily divide t⁴ by t. After solving each of these smaller problems we can get our solution.

First, 16 divided by 8 is 2. This is the first part of our answer. t⁴ divided by t is t³; this is because when dividing terms with the same base, we can subtract the exponents to get the final exponent. The exponent for t⁴ is 4, and the exponent for t is an invisible 1 (t = t¹). 4 - 1 = 3, so t⁴ divided by t is t³.

Putting those two answers together gives us 2t³.

2t^3
Just divide the number

ASAP PLEASE!!!!!!!!!!!!!!!!!!!!1

ASAP PLEASE!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

141 in²

Obviously don't write 141 in² because they've already wrote the in² part for you

Which measure is the greatest ?

A. 0.029 kilometer
B. 290 centimeters
C. 2.9 meters
D. 290,000 millimeters

Answers

D. 290,000 millimeters is the correct answer
D is the correct answer

In the figure given below, calculate x and y.

In the figure given below, calculate x and y.

Answers

Answer:

x = 73°

        y = 39°

Step-by-step explanation:

x + 107 = 180        {Linear pair}

        x = 180 - 107         {Subtract 107 from both sides}

        x = 73°

y + 51 + 90 = 180      {straight line angles}

   y  +  141   = 180

           y = 180 - 141

          y = 39°

x= 73. y=39. 180-107=73 and since it is a straight line the angle is 180. and 90-51= 39 because a right angle is 90 degrees and since the other side was a right angle that means that angle has to be a right angle too

The points on the graphs represent relations. Classify these relations according to whether or not they are functions. (3)

The points on the graphs represent relations. Classify these relations according to whether or not they

Answers

Answer:

here

Step-by-step explanation:

Answer:1 and 2 is a function. But the third one isn't. explanation: When there is more than one point on a vertical line that is not a function.

Please help!
How much interest (in dollars) will Alex receive after 2 years if he deposited $14,000 in the bank at 3.5% annual interest rate?

Davit received $870 as an interest for money invested in Foreign Exchange Market three years ago. How much money did he invest, if the annual interest was 4%.

For starting a new business, Arthur borrowed $23000 and calculated $3450 interest for five years. What annual interest was considered?

Answers

Answer:

interest=$980

principal=$7250

Rate=3%

find the value of a and be when x is 12 a= 5x^2/2 b= 2x^2(x-5)/10x

Answers

Answer:

a=360

b=168

Step-by-step explanation:

a=5×12×12/2=5×12×6=360

b=2×12×12×(12-5)/10×12=2×12×7=14×12=164

answer a is 360 and answer b is 180 :)

What percent of 263 is 81? Round to the nearest hundredth if needed.

Answers

30.8 ghgfffghjhdcjkh

Answer: 30.80

Step-by-step explanation: have a great day (:

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: Its so blurry. I cant see the question

Step-by-step explanation:

For some reason it’s burly so I can’t really see the question

Use the algebra tiles to help you solve the equation 2x-6=8. What is the first step in solving the equation using algebra​ tiles? What is the solution to the​ equation?

Use the algebra tiles to help you solve the equation 2x-6=8. What is the first step in solving the equation

Answers

Answer:

add 6 to both sides

Step-by-step explanation:

2x-6=8

  +6  +6

2x/2 =14/2

x= 7

∠A and ∠B are vertical angles. If m ∠A=(x+29) ∘ and m ∠B=(6x−11) ∘ , then find the value of x.

Answers

Answer:

Step-by-step explanation:

Vertical angle means same angle .

x + 29 = 6x - 11

5x = 40

x = 8

For this situation one would arrange both equations together, which would fuse into x + 29 = 6x - 11. Therefore, when solved the solution of x would be 8.
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