8.9
The equation for the grain size is expressed as the equality:
Nm(M/100)^2 = 2^(n-1)
where
Nm = number of grains per square inch at magnification M.
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)
Nm(1/100)^2 = 2^(8.9-1)
Nm(1/10000) = 2^7.9
Nm(1/10000) = 238.8564458
Nm = 2388564.458
Or about 2,400,000 grains per square inch.
600 x 40 I think the new dimetions will be
1. a
2. 6 tps baking powder. For every 3, there is two. 3 multiplied by 2 is 6.
3. 12/8 = 1.5 seedling per minute in 70 minutes...
1.5 * 70 = 105 seedlings can be planted in 70 minutes
4. idk sorry
5. time = distance / speed
time = 300/15
time = 20 hrs
7. The ratio between 12 and 8 is 1.5, so you need to divide every other number by 1.5.
2/1.5=1.3
9/1.5=6
18/1.5=12
8. So, problem statement tells you that 1lb = 16oz and that 1oz = 28.3g. That means that 1lb = 16 * 28.3g = 452.8g
You have three items, convert their weights to grams:
1) 800g
2) 1.6lb = 1.6 * 452.8g = 724.48g
3) 30oz = 30 * 28.3g = 849g
So, sorting from greatest:
3, 2, 1, or: 30oz, 1.6lb, 800g.
9. 5•7=30
10.it will clean 7 cars in 56 minutes
hope this helps and i hope its not confusing
This ends up being:
-10m = -26
M= 2.6
Basically you’re doing basic algebra. You take the “11m” and subtract it to the positive (1) m. And you basically should see 1m-11m EQUALING -10m. Don’t let the negatives confuse you.
Then you take the 20 and subtract it to -6. It should look like: -6-20 = -26.
Then divide-10 to -26, then you should get 2.6. And yes positive!!
Hope this helped!
