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Darya [45]
3 years ago
12

Suppose you have a tablet with a capacity of 35 gigabytes. for a plain text​ book, one byte typically corresponds to one charact

er and an average page consists of 2000 characters. assume all 35 gigabytes are used for plain text books.
a. how many pages of text can the tablet​ hold?
b. how many​ 500-page books can the tablet​ hold?
Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0
The first thing we must keep in mind is the following unit conversion:
 1 gigabytes = 1 * 10 ^ 9 bytes

 We have then that for 35 gigabytes:
 35 * (1 * 10 ^ 9) = 35 * 10 ^ 9 bytes


 Part A:
 
For this case we make the following rule of three:
 2000 bytes --------------> 1 page
 35*10^9 bytes ----------> x
 From here, we clear x:
 x = (35 * 10 ^ 9) / (2000)

x = 17500000 pages

 Part B:
 
Then, the number of 500-page books is:
 n = (17500000) / (500)

n = 35000


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7 0
2 years ago
A closed container has 5.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10−24 grams.
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Step-by-step explanation:

The first step is to think that you have to multiply the number of atoms for the weight of each atom.

When you work with scientific notation, you should solve the operation for numbers and for the ten base. In this case you solve 5.04 x 1.67 and then the product of the ten bases. For this product you have to sum the exponents of the ten base 23 + (-24) = -1.

Summarizing.... 5.04 x 10^23 x 1.67 x 10^-24 = (5.04 x 1.67) x (10^23x10^-24)  ⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 8.4168 x 10^-1

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3 years ago
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