An atom of gold has a mass of approximately 3.25 x 10-22 grams. What is the mass of 1000 atoms of gold? Express your answer in scientific notation.

Answers

Answer 1

Answer:

The mass of 1000 atoms of gold is, in grams, of [tex]3.25 \times 10^{-19}[/tex]

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

We have that:

One atom of gold has a mass, in grams, of [tex]3.25 \times 10^{-22}[/tex]. What is the mass of 1000 atoms of gold?

1000 atoms is [tex]10^3[/tex]. So

1 atom - [tex]3.25 \times 10^{-22}[/tex] grams

[tex]10^3[/tex] atoms - x

Applying cross multiplication:

[tex]x = 3.25 \times 10^{-22} \times 10^3 = 3.25 \times 10^{-22+3} = 3.25 \times 10^{-19}[/tex]

The mass of 1000 atoms of gold is, in grams, of [tex]3.25 \times 10^{-19}[/tex]


Related Questions

Which of these equations has NO solution? A. 3 ( 2 x + 7 ) = 6 ( x + 4 ) − 3 B. 3 ( 6 x − 5 ) = 3 ( 6 x − 5 ) + x C. 8 ( x − 3 ) + 14 = 2 ( 4 x + 5 ) D. 13 x − 7 = 12 ( x − 1 ) + x + 5

Answers

Answer:

B ig

Step-by-step explanation:

A: 3(2x+7) = 6(X+4) - 3

<=> 6x+ 21 = 6x + 24 - 3 = 6x + 21

<=> 0 = 21 - 21 = 0

B: 3(6x-5)= 3(6x-5)+x

<=> 18x-15= 18x - 15 + x = 19x - 15

<=> 0 = x

C: 8(x-3) + 14= 2(4x+5)

<=> 8x - 24 + 14 = 8x - 10 = 8x + 10

<=> 0 = 0

D: 13x - 7 = 12( x - 1) +x + 5

<=> 13x - 7 = 12x -12 + x + 5 = 13x - 7

<=> 0 = 0

E What is the surface area of the square pyramid? 3 2 square units​

Answers

Answer:

I believe its 16.

Step-by-step explanation:

Because 2 x 2 (for the square) is 4. 2 x 3 is 6, and 6 divided by 2 is 3. And 3 x 4 (for all the triangles) is 12. So 12 + 4 is 16. So the surface area should be 16.

22. Using the graph, state the approximate
x-intercept of the function?
a. (0, -1)
b. (0.5, 0)
C. (-1,-1.75)
d. (1, 2)

Answers

Answer:

I believe Awnser B..  (0.5, 0)

Step-by-step explanation:

The answer is B, because if you look at the graph it’s in between 0 and 1, and the number in between them is 0.5. Also it doesn’t move down or up so it would also be 0.

Answer: So the answer is (0.5, 0).

Hope this helps!!

What are the first 4 terms in the sequence?

A(n)=2(1/3)^(n-1)

Answers

Answer:

something

Step-by-step explanation:

(6,-7,8...)

Please help me due today !!

Answers

The 2nd one is the answer

Worth 10 please help

Answers

Answer:

b,c and A

Step-by-step explanation:

Answer:

Honestly I dont really know

Step-by-step explanation:

Find sin S, sin R,cos S, and cos R.

Answers

Answer:

sin S = 9/13

sin R= 8/13

cos S= 8/13

cos R= 9/13

Consider the following series.

1/4 + 1/8 + 1+12 + 1/16 + 1/20.....

Required:
Determine whether the geometric series is convergent or divergent.

Answers

Answer:

The series is convergent.

Step-by-step explanation:

1/4 + 1/8 + 1+12 + 1/16 + 1/20

In each term, the numerator stays 1, while the denominator is multiplied by 4. Thus, the series is given by:

[tex]\sum_{n=1}^{\infty} \frac{1}{4n}[/tex]

Convergence test:

We compare the sequence of this test, [tex]f_n = \frac{1}{4n}[/tex], with a sequence [tex]g_n = \frac{1}{n}[/tex].

If [tex]\lim_{n \rightarrow \infty} \frac{f_n}{g_n} \neq 0[/tex], the series is convergent. So

[tex]\lim_{n \rightarrow \infty} \frac{f_n}{g_n} = \lim_{n \rightarrow \infty} \frac{\frac{1}{4n}}{\frac{1}{n}} =  \lim_{n \rightarrow \infty} \frac{n}{4n} = \lim_{n \rightarrow \infty} \frac{1}{4} = \frac{1}{4} \neq 0[/tex]

As the limit is different of zero, the series is convergent.

HELP!! I WILL give Brainly!! LINKS WILL BE REPORTED. THANK YOU!!

Answers

Answer:

E

Step-by-step explanation:

We can see that the graph is shifted up 3 units

to do this you need to add 3 to the equaton

it's E

Aaliyah invested $350 in an account paying an interest rate of 4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 20 years?

Answers

SsxcAnswer:

Step-by-step explanation:

What function is shown by the graph

Answers

Answer:

B

Step-by-step explanation:

Y=3x. The slope is 3 6-(-6)/2-(-2) and the y intercept is 0.

Find the area of each circle. Round to the nearest tenth. Use 3.14 for π.

Answers

Answer:

1. 490.6 mm²

2. 14.1 ft²

Step-by-step explanation:

1. 3.14×(12.5)²= 3.14 × 156.25 =490.6mm²

2. ½×3.14×3²= 3.14×4.5= 14.1 ft²

brainliest for answer

Answers

Answer:

im not gonna help u~ but i can talk to u~ <3

Step-by-step explanation:

A right rectangular prism has a width of 4 inches, a length of 3 inches, and a height of 12 inches.
What is the volume of the prism? Use the formula V=Ixwxh.
A. 692 in
B. 144 in
C. 145 in
OD. 168 in

Answers

Answer:

144

Step-by-step explanation:

Using the formula they gave of V= l*w*h

w=4, l=3, and h=12

3*4*12=12*12=144in^3

Answer:

B. 144

Step-by-step explanation:

Using the formula given (Volume= Length x Width x Height), you will get the equation of 3 x 4 x12. 3 x 4 = 12 and 12 x 12 is 144.

two thousand twelve and thirty-two thousandths in standard form

Answers

Answer:

2012.032

Step-by-step explanation:

2012.032

2012.032

Hope this helps!

Carlos es 7 años mayor que José. Dentro de tres
años la suma de sus edades es 21.
¿Cuáles son sus edades ahora?

Answers

Answer:

Carlos tiene 11 años, mientras que José tiene 4 años.

Step-by-step explanation:

Dado que Carlos es 7 años mayor que José, y dentro de tres años la suma de sus edades será 21, para determinar cuáles son sus edades ahora se debe realizar el siguiente cálculo:

21 - 7 - 3 = X

14 - 3 = X

11 = X

11 - 7 = 4

Así, Carlos tiene 11 años, mientras que José tiene 4 años.

Find the zeros
[tex]x^3+8x^2-20x+48[/tex]

Answers

Answer:

Graph each side of the equation. The solution is the x-value of the point of intersection.

x≈−10.37392996

Step-by-step explanation:

Is anyone good at geometry if so can someone help me please ?

NO LINKS PLEASE

Answers

B.) 9 cm
Explanation: thats shape is a trapezoid
The formula for the area of a trapezoid is:
Base + Base divided by 2 x height

If we follow that formula, in this case it will be:
4.9 + 9.9/2 x h = 66.6
4.9 + 9.9 = 14.8
14.8/2 = 7.4

Now, we need to find the missing height.

We will divide the area (66.6 cm2) by 7.4

66.6/7.4 = 9

The missing height is 9cm2.

MARK BRAINLIEST PLS
if you have any questions, com ment me.

if you borrow 900 dollars for 6 years at an annual interest rate of 7% how much will you pay all together

Answers

Answer:

$963

Step-by-step explanation:

900 times 1.07=963

david earns an annual salary of $72100 paid biwewkly based on a regular workweek of 36.25 hours. His company generously pays all overtime at twice his regular wage. If david worked 85.5 hours over his course of two weeks, what are his gross earnings.​

Answers

Answer:

hgggggg

Step-by-step explanation:

$16000 increased by 20%



Tell me the answer plssss

Answers

Answer:

16,000, percentage increased by 20% (percent) of its value = 19,200

Step-by-step explanation:

Answer:

Hope the answer is by substracting

15999.8

If j ll k which could be one of the angle measures
A.25
B.37
C.60
D.84

Answers

Answer:

Hii friend

I am from India and u ??

Roshini here !!!!

the answer for this is 37

HELP!!! WILL GIVE BRAINLIEST +LIKE AND 5 STARS ANSWER THE QUESTION IN THE PICTURE

Answers

Answer:

omg lol look at the picture are u that guy

Step-by-step explanation:

its me from web2.0 :KOBE2482

D its D

ANSWER THIS ASAP DONT SEND A FILE AT ALL !! I NEED THE QUICK ONLY ANSWER IF YOU REALY KNOW !!

Answers

Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

Write 0.000 376 in standard form.​

Answers

Answer:

0.000376 in standard form

=3.76×10^-4

23 and 25
how do you do the work?
find the areas of each

Answers

9514 1404 393

Answer:

  23)  35.77 in²

  25)  48.19 cm²

Step-by-step explanation:

Use the appropriate area formula with the given information.

__

23) The area of a triangle is given by the formula ...

  A = 1/2bh . . . . . base b, height h

  A = 1/2(9.8 in)(7.3 in) = 35.77 in²

__

25) The area of a parallelogram is given by the formula ...

  A = bh . . . . . . base b, height h

  A = (7.9 cm)(6.1 cm) = 48.19 cm²

_____

The height in each figure is measured perpendicular to the base. This tells you that the length 10.6 cm of the diagonal side of the triangle is not relevant to finding the area.

Answer:

23) 35.77 in2

24) 48.19cm2

What is the value of x

Answers

Answer:

awnser is 36

Step-by-step explanation:

Answer:  x = 37

Step-by-step explanation:

you can use the pythagorean theorem to solve this:

[tex]a^{2} + b^{2} = c^{2}[/tex]

'a' and 'b' in the equation is referring to the legs of the right triangle, or the sides adjacent to the hypotenuse (which is the side opposite the right angle)

plug in the legs into the equation and you get :

[tex]12^{2} + 35^{2} = x^{2}[/tex]

now to solve that we just square 12 and 35 and you get

144 + 1225 = [tex]x^{2}[/tex]

1369 =  [tex]x^{2}[/tex]

x = [tex]\sqrt{1369}[/tex]

x= 37

:))

The length of each base of a trapezoid is shrunk to one-third its original length and the height of the trapezoid is tripled.
Lisa claims that the area of the new trapezoid is one-third the area of the original trapezoid.
Which expression best uses the dimensions of the new trapezoid to compare its area to the area of the original trapezoid in order to
determine if Lisa's claim is accurate?
A
lh + b) 3h
C С
3(02+)31
D

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

The formula for the area of the original trapezoid is ...

  A = 1/2(b1 +b2)h

Using 1/3 the base length and 3 times the height, the area of the new trapezoid is ...

  A = 1/2((1/3b1) +(1/3b2))(3h)

  = (1/2)(1/3)(b1 +b2)(3h)

  = 1/6(b1 +b2)3h . . . . . . . . matches choice A

right three million, eight hundred sixty-two thousand, seven hundred ninety-five standard: and expanded:​

Answers

Answer:

Expanded: 3,000,000- 800,000- 60,000- 2,000- 700- 90- 5

Standard: 386,2795

Hope this helps!!

help pls i think it’s B im not sure tho

Answers

Answer:

yes i think its b

Step-by-step explanation:

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