A closed container has 6.08 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams. Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container?

Answers

Answer 1
Answer: Total mass = 6.08 x 10^23 * 1.67 x 10^-24 = 1.01536
Answer 2
Answer:

Answer:

10.1536*  10^(-1)\approx 1.02 grams.

Step-by-step explanation:

We have been given that a closed container has 6.08* 10^(23) atoms of a gas. Each atom of the gas weighs 1.67* 10^(-24) grams.

To find the total mass, in grams, of all the atoms of the gas in the container, we will multiply number of atoms with mass of each atom.

\text{Total mass}=6.08* 10^(23)* 1.67* 10^(-24)

Using exponent property a^b* a^c=a^(b+c), we will get:

\text{Total mass}=6.08* 1.67*  10^(23)* 10^(-24)

\text{Total mass}=10.1536*  10^(23+(-24))

\text{Total mass}=10.1536*  10^(-1)

\text{Total mass}=10.1536*(1)/(10)

\text{Total mass}=1.01536

\text{Total mass}\approx 1.02

Therefore, the approximate total mass, in grams, of all the atoms of the gas in the container is 10.1536*  10^(-1)\approx 1.02 grams.


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HELP!!!Find the exact circumference of a circle with the given radius.

36 inches

C =

A) 72π in.

B) 36π in.

C) 18π in.

Answers

Hello!

To find the circumference of a circle, use the formula: C = 2πr. Since the radius is given, we can substitute that into the formula.

C = 2(36)π

C = 72π

Therefore, the circumference of the circle is 72π inches.

Perpendicular Vectors:Find v x w if v=5i -4j +4k & w=-6i +3j -2k.
A. 3i-4j-2k
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Find v x w if v=-3i-4j-8k & w=2i+6j+4k.
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Find the cross product <-6, 7, 2> x <8, 5, -3>. Is the resulting vector perpendicular to the given vectors?
A. <-31,-2,-86>;yes
B. <-37,-2,0>; no
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D. <-37, 0, -80>;no

Answers

1.
v x w = 8 i - 24 j + 15 k + 10 j - 12 i - 24 k =
= - 4 i - 14 j - 9 k
Answer: D )
2.
v x w = -16 i - 16 j - 18 k + 12 j + 48 i - 8 k =
= 32 i - 4 j - 10 k
Answer: C )
3.
The cross product:
< - 6, 7, 2 > x < 8, 5, -3 > =
= - 21 i + 16 j - 30 k - 18 j - 10 i - 56 k =
= - 31 j - 2 j - 86 k = < - 31, - 2, - 86 >
Vectors are perpendicular if: cos ( u, v ) = 0
< - 6 , 7. 2 > * < -31, - 2, - 86 > = 186 - 14 - 172 = 0
< 8, 5 , - 3 > * < - 31, - 2, - 86 > = -248 - 10 + 258 = 0
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Solve.y=x−8
2x+3y=1

Use the substitution method.



(2, −6)

(5, −3)

(0, −8)

(4, −4)

Answers

Because 2x+3y=1 and the value of y is x-8,we substitute
2x + 3(x-8)=1
2x +3x- 24=1
5x = 24
x=4.8

Given that we have the value of x, we can now substitute it in the other equation.
y=x-8
y=4.8-8
y= -3.2

The answer is (4.8, -3.2)

What is 94.12 % of 2125

Answers

i think this would be ur answer 2000.05
i don't think this is the answer I know is 2000.05


Steve's lawn is 60 feet long and 40 feet wide.He would like to reduce its size to one half
its original area. If he reduces the width to
30 feet, what should the new length be?

Answers

Answer:

40 feet

Step-by-step explanation:

60x40=2400

2400/2=1200

1200/30=40

4) Jamie is 5 years older than Ella. Jamie's age is 11 years less than three times Ella's age. Write a system of equations to model the relationship between Jamie's age and Ella's age. Let j = Jamie’s age Let e = Ella’s age
HINT: You should have TWO equations; create one for each sentence description above.
Equation 1: j =
Equation 2: j =

Answers

The system of equations is j  = e + 5 and j = 3e - 11 we can solve it using the substitution method.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Jamie is 5 yearsolder than Ella. Jamie's age is 11 years, less than three times Ella's age.

The system of equation can be written as:

j  = e + 5

j = 3e - 11

Thus, the system of equations are j  = e + 5 and j = 3e - 11 we can solve it using the substitution method.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

j  = e + 5
j = 3e - 11 equations

there are different ways of expressing the same value examlpe . 10 = 4 + 6 and 10 = 8 + 2 and 10= 7 + 3 4 + 6 = 8 + 2 =7 + 3 all = 10
using the concept same applies to varibles j = j so, e + 5 = 3e - 1 so, the possible answer would be  e + 5 = 3e - 11 to find the value of e .


 i Truly hope that this helpss IF NT CMMT BELOWW ↓↓ . PLz ThANKsZ !