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Vera_Pavlovna [14]
3 years ago
13

What is the product of using scientific notation to solve the problem of 20.5 * 10 to the 7th power and 0.000036

Mathematics
1 answer:
Zina [86]3 years ago
3 0

Answer:

  7.38×10^3

Step-by-step explanation:

The usual rules of exponents apply.

  (20.5×10^7)(3.6×10^-5) = (2.05)(3.6)(10^(8-5)) = 7.38×10^3

_____

<em>Additional comment</em>

You can have your scientific or graphing calculator or your spreadsheet compute this product for you and display the result in scientific notation. You can enter the numbers in scientific notation or in standard form in any calculator or spreadsheet. (For a spreadsheet, the first number would be entered 20.5e7 or 2.05e8.)

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

Just as the place values increase by factors of 10 going to the left of the decimal point, so they decrease by factors of 10 to the right. The number 3 in 0.000036 is in the 5th place to the right of the decimal point, so has a place value of 10^-5.

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Solve the inequality −4y + 6 &lt; −14. A. y ≤ 5 B. y &gt; 2 C. y &lt; 5 D. y &gt; 5
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Compare the domains of the logarithmic function f(x) and the square root function g(x).
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Need someone with a big brain to help lol<br> Solve for x
AfilCa [17]

Answer:

x=4

Step-by-step explanation:

Hey there!

I am going to use this image as an example so you can understand the formula

The formula for problems like these is

B(BA)=D(DC)

So all we have to do is plug in the numeric values

so now we have 5(5+x+3)=6(6+x)

now we just solve for x

5(5+x+3)=6(6+x)

step 1 distribute the 5 to what is in the parenthesis (5, x and 3)

5x5=25

5*x=5x

5x3=15

so now we have

25+5x+15=6(6+x)

step 2 distribute the 6 to what is in the parenthesis (6 and x)

6x6=36

6*x=6x

now we have

25+5x+15=6x=36

step 3 combine like terms, the only like terms are 25 and 15

15+25=40

now we have

40+5x=6x+36

step 4 subtract 5x from each side

5x-5x cancels out

6x-5x=x

now we have

40=x+36

step 5 subtract 36 from each side

40-36=4

36-36 cancels out

now we have

x=4 so we can conclude that x=4

hope this helps :)

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3 years ago
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Answer:

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