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svp [43]
4 years ago
9

How do u simplify this? 4r-3+6s-8r-(4s-6)

Mathematics
1 answer:
nalin [4]4 years ago
3 0
Hey there!:

4r -3 + 6s - 8r - (4s - 6)

*distribute parentheses :

=  - ( 4s ) - ( - 6 ) 

Apply minus  - plus rules

- ( - a )  = a  ;  - ( a ) = - a

 =  - 4s + 6


4r -3+ 6 s - 8r -4s + 6 = 

Group like terms :

=4r - 8r + 6s - 4s -3+6

Add similar elements: 4r - 8r= - 4r

-4r + 6s - 4s- 3+6

6s - 4s =  2s

-4r  + 2s  - 3 + 6


Add/Subtract the numbers :

-3 + 6  = 3

Therefore:

= 2s +3 - 4r

hope this helps!




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Determine the astm grain size number if 33 grains per square inch are measured at a magnification of 270×
strojnjashka [21]
8.9

The equation for the grain size is expressed as the equality:
Nm(M/100)^2 = 2^(n-1)
where
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M = Magnification
n = ASTM grain size number

Let's solve for n, then substitute the known values and calculate.
Nm(M/100)^2 = 2^(n-1)

log(Nm(M/100)^2) = log(2^(n-1))
log(Nm) + 2*log(M/100) = (n-1) * log(2)
(log(Nm) + 2*log(M/100))/log(2) = n-1
(log(Nm) + 2*log(M/100))/log(2) + 1 = n

(log(33) + 2*log(270/100))/log(2) + 1 = n
(1.51851394 + 2*0.431363764)/0.301029996 + 1 = n
(1.51851394 + 0.862727528)/0.301029996 + 1 = n
2.381241468/0.301029996 + 1 = n
7.910312934 + 1 = n
8.910312934 = n

So the ASTM grain size number is 8.9

If you want to calculate the number of grains per square inch, you'd use the
same formula with M equal to 1. So:
Nm(M/100)^2 = 2^(n-1)
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Nm(1/10000) = 2^7.9
Nm(1/10000) = 238.8564458
Nm = 2388564.458

Or about 2,400,000 grains per square inch.
7 0
3 years ago
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