One thousand tonnes (1000 t, one t equals 10 cubed kg) of sand contains about a trillion (10 super 12) grains of sand. How many tonnes of sand are needed to provide 1 mol of grains of sand? (b) Assuming the volume of a grain of sand is 1.0 mm3 and the land area of the continental United States is 3.6 multiplication 10 super six square miles, how deep would the sand pile over the United States be if this area were evenly covered with 1.0 mol of grains of sand?

Answers

Answer 1
Answer:

Answer with Step-by-step explanation:

Since 1 mole of sand will contain Avagadro's Number of sand particles (by definition of 1 mole)

Thus we have

1 mole of sand = 6.022* 10^(23) sand particles

Thus in number of trillion sand particles we have no of trillion sand particles in 12 mole is

(6.022* 10^(23))/(10^(12))=6.022* 10^(11)

Now since it is given that mass of 1 trillion sand particles is 1000 tonnes Thus the mass of 6.022* 10^(11) trillion sand particles is

Mass=1000* 6.022* 10^(11)=6.022* 10^(14)tonnes

Part 2)

Since it is given that volume of 1 sand particle is 1.0mm^(3) thus the volume of 1 mole of sand is volume of 6.022* 10^(23) sand particles

Thus volume of 1 mole is V=1.00* 10^(-18)km^(3)* 6.022* 10^(23)=6.022* 10^(5)km^(3)

Now since the Area of united states is A=3.6* 10^(6)mile^(2)=5.8* 10^(6)km^(2)

Thus the depth of the sand pile is

Depth=(Volume)/(Area)=(6.022* 10^5)/(5.8* 10^6)=0.10387km=103.8meters


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What is the result of adding these two equations?\begin{aligned} -5x-9y &= 3 \\\\ 5x-9y &= -2 \end{aligned}
−5x−9y
5x−9y


=3
=−2

Answers

Answer:

-18y=1

Step-by-step explanation:

Did it on Khan Academy

What is the upper quartile of 36 ,73,28,36,80,50

Answers

Put the numbers in order

28, 36, 36, 50, 73, 80
|. |. |
The upper quartile is 73

the upper quartile is 80

Find the zeros of the function
k(x) = -5x² - 125
The zeros of k are x= □ and x= □​

Answers

Answer:

x = ±5i

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS

Alg II

  • √-1 is imaginary number i

Step-by-step explanation:

Step 1: Define function

k(x) = -5x² - 125

Step 2: Find roots

  1. Set function equal to 0:                    0 = -5x² - 125
  2. Factor out -5:                                     0 = -5(x² + 25)
  3. Divide both sides by -5:                    0 = x² + 25
  4. Subtract 25 on both sides:               -25 = x²
  5. Rewrite:                                              x² = -25
  6. Square root both sides:                     x = ±√-25
  7. Rewrite:                                              x = √-1 · ±√25
  8. Evaluate:                                             x = ±5i

Billy wants to buy 657 mugs. The mugs are sold for a price of 3 for $4. How much must Billy pay for all the mugs?

Answers

(657mugs)/(3) = 219
219 * $4 = $876
875 is the answer to your question so have a nice day

Emily drove to town with an average speed of 32 miles per hour, and then back home with an average speed of 38 miles per hour. If her total traveling time was 42 minutes, how far is it from home to town?

Answers

Answer:

  • 12.16 miles

Step-by-step explanation:

Speed - s,   Distance - d,  Time - t

Equation of time is:

  • t = d/s

Given,

  • s1 = 32 m/h, s2 = 38 m/h, t1 + t2 = 42 min = 42/60 h = 7/10 h

Total time is the sum of time values to and from the town:

  • d/32 + d/38 = 7/10
  • d/16 + d/19 = 7/5
  • d(1/16 + 1/19) = 7/5
  • d(16 + 19) = 7(16*19)/5
  • 35d = 425.6
  • d = 425.6/35
  • d = 12.16

It is given that,

→ s1= 32 miles/h

→ s2 = 38 miles/h

Now t1 + t2 is,

→ 42 min

→ 42/60 hours

→ 7/10 hours

The formula we use,

→ Time = Distance/Speed

→ t = d/s

Then the total time is the,

Sum of time values to and from the town.

→ d/32 + d/38 = 7/10

→ d/16 + d/19 = 7/5

→ d{(1/16) + (1/19)} = 7/5

→ d(16 + 19) = (7/5) × (16 × 19)

→ 35d = 425.6

→ d = 425.6/35

→ d = 12.16

Hence, the distance is 12.16 miles.

The expression 2x(5x - 1) +(3x2 - 7x - 2) is simplified into the form ax 2+ bx + c.What are the values of the coefficients a,b,c?
a:
b:
C:

Answers

Step-by-step explanation:

2x (5x - 1) + (3x^2 - 7x - 2)

= 10x^2 - 2x + 3x^2 - 7x - 2

= 13x^2 - 9x - 2

a = 13

b = -9

c = 2