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Lady bird [3.3K]
3 years ago
7

If avogadro's number of pennies is divided equally among the 231 million men, women, and children in the united states, how many

dollars would each receive?
Mathematics
1 answer:
Anon25 [30]3 years ago
4 0
<span>2.607 x 10^13 dollars per person. Avogadro's number is approximately 6.0221409x10^23. So divide by the 231 million people. Giving (6.0221409 x 10^23) / (231 x 10^6) = 0.02607 x 10^17 = 2.607 x 10^15 pennies But we want dollars, so divide by 100 2.607 x 10^15 / 100 = 2.607 x 10^13 dollars</span>
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Express ( x + 4 )∧2 as a trinomial in standard form.
mamaluj [8]

Answer: x²+8x+16

Step-by-step explanation:

(x+4)^2=(x+4)(x+4)

Now use distributive property to expand (x+4)(x+4):

(x+4)(x+4)=x²+4x+4x+4(4)

x²+4x+4x+4(4)=x²+8x+16

8 0
3 years ago
Read 2 more answers
1. Divide 6x^4 + 2x^3 – 6x^2 – 14x – 1 by 3x + 1 by using synthetic division or long division. Show all
iris [78.8K]
                  2x^3 - 2x - 4

3x + 1        6x^4 + 2x^3 - 6x^2 - 14x - 1
                  6x^4 + 2x^3
                
                                       -6x^2 - 14x - 1
                                       -6x^2 - 2x
     
                                                 -12x - 1
                                                 -12x - 4
 
                                                           3

3x + 1 is not a factor of the dividend because, dividing the dividend with 3x + 1 gives a remainder.
5 0
4 years ago
What is the slope of a line perpendicular to the line passing through E(-1,6) and F(-2,-10)?
STatiana [176]

Answer:

Step-by-step explanation:

E(-1,6)  & F(-2,-10)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\  \  \ \ = \frac{-10-6}{-2-[-1]}\\

=\frac{-10-6}{-2+1}\\\\=\frac{-16}{-1}\\\\= 16

Slope of the line perpendicular to this line = -1/m =  -1/16

7 0
3 years ago
On a certain day, the temperature changed at a rate of -3 per how. How long did it take for the change in temperature to be -33?
oee [108]

Answer:

  • Considering the temperature is 0°C and
  • It is changing at a rate of -3 per hour.

So, it took 11 hours for the change in temperature to be -33.

Step-by-step explanation:

Rate of change basically means the amount of change to how long it takes for the change to occur.

Rate of change = Change in Value/ Change in time

On a certain day the temperature changed at a rate of -3 per hour.

Let suppose the Temperature at 8:00 = 0°C

As the temperature changed at a rate of -3 per hour.

It means the Temperature at 9:00 = -3°C.

so

Rate of change = (-3 - 0)/(9:00 - 8:00) = -3°C per hour

So, the temperature to be -33°C, it would take 11 hour as -3 × 11 = -33.

Therefore, it took 11 hours for the change in temperature to be -33.

8 0
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erik [133]

Answer:

3x-8

Step-by-step explanation:

8 0
3 years ago
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