How many moles are in a sample of 4.57 x 1024 atoms of neon (Ne)?
7.59 mol Ne
27.5 mol Ne
91.4 mol Ne
151 mol Ne

Can someone please explain how you divide 4.57 x 10^24 by 6.022 x 10^23?? Thank you

We are given:                                                                                                        

AB = 7x + 10

BD = 9x - 2

∠DBC = 9y - 9

∠ABC = 90°

AB = BD

Solving for x:                                                                                                          

We are given that AB = BD

7x + 10 = 9x - 2               [since AB = 7x+10 and BD = 9x-2]

10 = 2x - 2                       [subtracting 7x from both sides]

2x = 12                            [adding 2 on both sides]

x = 6                               [dividing both sides by 2]

Hence, x = 6

Solving for y:_______________________________________________  

We know that AD is a straight line,

So, ∠ABC and ∠DBC must form a linear pair

∠ABC + ∠DBC = 180°

90 + 9y-9 = 180

9y - 9 = 90             [subtracting 90 from both sides]

9y = 99                  [adding 9 on both sides]

y = 11                      [dividing both sides by 9]

Hence, y = 11

he will need to save 30 dollars a month

Step-by-step explanation:

Answer:

8+7d

Step-by-step explanation:

So forest you combine like terms

4+4=8

There are no longer any like terms so your finished product is 8+7d

Answer:

11.76 ft or 12 ft

Step-by-step explanation:

tan 30= x/12            tan 22=  x/12

x= 6.92                    x= 4.84

6.92+4.84=11.76ft

11.76 rounded to the nearest foot= 12ft

Answer:

Option D is correct .

Step by step explanation:

A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.

So for finding its inverse , exachange x with y .

⇒ g(x) = -2x⁵ - 2 .

Let g(x) = y ,

⇒ y = -2x⁵ - 2 .

Replace x with y ,

⇒ x = -2y⁵ - 2

⇒ x + 2 = -2y⁵

⇒ y⁵ = x+2 / -2

⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)

⇒ y⁵ = -x - 2/ 2

⇒ y = ⁵√ [ ( -x -2)/2 ]

Hence the inverse of the function is ,

[tex]\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}[/tex]

Answer:

n=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(2n+5)=66

(6)(2n)+(6)(5)=66(Distribute)

12n+30=66

Step 2: Subtract 30 from both sides.

12n+30−30=66−30

12n=36

Step 3: Divide both sides by 12.

12n/12    = 36/12

n=3

Answer:

n = 3

Step-by-step explanation:

Distribute 6 into 2n+5, which is 12n +30

Subtract 30 from 66, which is 36

Divide 36 by 12

You're left with n = 3

Or in numbers:

6(2n+5)=66

12n+30=66

12n=36

n=3

Answer:

2.33

Step-by-step explanation:

Answer:

go to your hundredths place. since 4 is not greater than 5 then it would round down. so the final answer would be 2.33

Step-by-step explanation:

We can use standard form to make it simpler to deal with.

0.45=45×10^-2

0.3=3×10^-1

Now 45÷3=15

10^-2÷10^-1=10^-1

So the answer is 15×10^-1 OR 1.5

Answer:

x = 0

x = (-1/2,0)

Step-by-step explanation:

Answer:

Sale price of the watch = $60

Step-by-step explanation:

Given that:

Cost of the watch at Macy's = $150

Discount on watch = 60%

Amount of discount = 60% of cost

Amount of discount = [tex]\frac{60}{100}*150[/tex]

Amount of discount = 0.60*150 = $90

Price after discount = 150-90

Price after discount  = $60

Hence,

Sale price of the watch = $60

Answer:

a it's a :)

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

there are 6 faces on a dice so there's a 1 in 6 chance that you would roll a 3 on your second go there is still only a 1 out of 6 chance of getting a 5 because there is still 6 numbers you could roll on.

hope this helped

Answer:

D

Step-by-step explanation:

"Manjiro stared at the strangers when he thought they weren’t looking. Sometimes he caught them staring at him when they thought he wasn’t looking."

"The fishermen exchanged frightened glances and whispered to one another,"

Answer:

it's answer is y + 185 = 250; y = 65

hope it helps you

Answer:

40 degrees

Step-by-step explanation:

75 + 65 = 140

The sum of all of the angles of a triangle equals 180

180-140 = 40

Answer: The first one

Step-by-step explanation:

3a + 11 > 5

Subtract 11 from both sides:-

3a > 5 - 11

3a > -6

a > -2

Answer:

It would be the first one

Step-by-step explanation:

problem---> 3a + 11 > 5

FIND a

1. Subtract 11 from both sides:-

which would look like this "3a > 5 - 11"

=3a > -6

a > -2

ANSWER; C.

Answer:

6

Step-by-step explanation:

the answer is 6

Answer:6:45

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

a ratio is just a fraction

9:45 = 9/45

6:x = 6/x

now you have 9/45 = 6/x

cross multiply:

9 * x = 45 * 6

9x = 270

divide both sides by 9

9x/9 = 270/9

x = 30

Answer:

One solution

Step-by-step explanation:

maybe

Answer:

There is only one solution to the equation.

x = 0

Step-by-step explanation:

Let rewrite the following equation so that x will be separated from the other numbers. So we do the following......

[tex]\frac{x+4}{4} = \frac{x +3}{3}[/tex]

[tex]12(\frac{x+4}{4}) = 12(\frac{x +3}{3})[/tex]

[tex]3(x +4) = 4(x+3)[/tex]

[tex]3x +12 = 4x +12[/tex]

[tex]12 = 4x - 3x +12[/tex]

[tex]0 = x[/tex]

Step-by-step explanation:

a.3.4cm

b.23000l

c.0.016g

d.3000m

e.2000mg

Answer:

8f - 8d + 2e

Step-by-step explanation:

8f-12d+4d+2e = 8f - 8d + 2e

Answer:

−8d+8f+5.436564

Step-by-step explanation:

Let's simplify step-by-step.

4(2f−3d)+2(2d+2.718282)

Distribute:

=(4)(2f)+(4)(−3d)+(2)(2d)+(2)(2.718282)

=8f+−12d+4d+5.436564

Combine Like Terms:

=8f+−12d+4d+5.436564

=(−12d+4d)+(8f)+(5.436564)

=−8d+8f+5.436564

Answer:

=−8d+8f+5.436564

Answer:

k=192

Step-by-step explanation:

switch sides

[tex]\frac{k}{12} =16[/tex]

multiply both sides by 12

[tex]\frac{k}{12x12}[/tex]= [tex]16x12[/tex]

12x12 would get cancelled out and 16x12 is 192

[tex]k=192[/tex]

hope this makes sense

Answer:

25

Step-by-step explanation:

Step one:

given data

We are told that Shaneya purchased a membership to play basketball at her local gym.

Costs =  $75 for the year,

Rent =  $3 for equipment each time she goes

Given that she has $150 to spend,

Step two:

Firstly, let us model the situation

let the total amount she has to spend be y

and the number of time she goes to the gym be x

y= 75+3x

for y= 150, let us find the value of x

150= 75+3x

150-75= 3x

75= 3x

divide both sides by 3

x= 75/3

x=25 times

The maximum amount of times is 25

15.5 FT　ビューティー　いつもお世話になっております。日gヘリ　16

Answer:

7x < 60

Step-by-step explanation:

Answer:

Degree

Five Degree

End Behavior

When x approaches negative infinity, f(x) approaches the negative infinity as well.

When x approaches positive infinity, f(x) approaches positive infinity.

Step-by-step explanation:

[tex]y = 4 {x}^{3} + 3 {x}^{5} - {x}^{2} - 2[/tex]

A five-degree polynomial function. Rearrange the terms.

[tex]y = 3 {x}^{5} + 4 {x}^{3} - {x}^{2} - 2[/tex]

Because it is an odd-degree function, the graph increases from negative infinity and ends by increasing at positive infinity.

Graph / End Behavior

When x approaches negative infinity, f(x) approaches the negative infinity as well.

When x approaches positive infinity, f(x) approaches positive infinity.

Answer:

(2,-3)

Step-by-step explanation:

I thought you'd actually have to calculate it but I guess they just wanted to give you guys a graph lol

the awnser is #3

k=96

Answer:96

Step-by-step explanation:

4 can go into 96 24 times