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MA_775_DIABLO [31]
3 years ago
9

Dan learned the mass of an electron is about 9.1×10⁻³¹ while the mass of a proton is about 1.7×10⁻²⁷. He thinks electrons have a

greater mass than protons because 9.1 is greater than 1.7; Do you agree with him? How can you use scientific notation to compare the mass of an electron and a proton? Explain your thinking.
Mathematics
1 answer:
Lyrx [107]3 years ago
4 0

Answer:so I will try.

Step-by-step explanation:but it might take a will

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Answer: 912

===================================

Work Shown:

The starting term is a1 = 3. The common difference is d = 5 (since we add 5 to each term to get the next term). The nth term formula is

an = a1+d(n-1)

an = 3+5(n-1)

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Plug n = 19 into the formula to find the 19th term

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Add the first and nineteenth terms (a1 = 3 and a19 = 93) to get a1+a19 = 3+93 = 96

Multiply this by n/2 = 19/2 = 9.5 to get the final answer

96*9.5 = 912

I used the formula

Sn = (n/2)*(a1 + an)

where you add the first term (a1) to the nth term (an), then multiply by n/2

-----------------

As a check, here are the 19 terms listed out and added up. We get 912 like expected.

3+8+13+18   +23+28+33+38    +43+48+53+58    +63+68+73+78   +83+88+93 = 912

There are 19 values being added up in that equation above. I used spaces to help group the values (groups of four; except the last group which is 3 values) so it's a bit more readable.

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