A linear approximation to the error in volume can be written as
... ∆V = (∂V/∂d)·∆d + (∂V/∂h)·∆h
For V=(π/4)·d²·h, this is
... ∆V = 2·(π/4)·d·h·∆d + (π/4)·d²·∆h
Using ∆d = 0.05d and ∆h = 0.05h, this becomes
... ∆V = (π/4)·d²·h·(2·0.05 + 0.05) = 0.15·V
The nominal volume is
... V = (π/4)·d²·h = (π/4)·(2.2 m)²·(6.8 m) = 25.849 m³
Then the maximum error in volume is
... 0.15V = 0.15·25.849 m³ ≈ 3.877 m³
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Essentially, the error percentage is multiplied by the exponent of the associated variable. Then these products are added to get the maximum error percentage.
Answer:
N= -8
Step-by-step explanation:
you will add 10and 6 to get 16
then add 8 to each side to cancel out. 16+8 will give you 24. now subtract the 8 off of in onto 5n
5-8 will give you -3. Now you need to divide -3 off of N on both sides so it cancels. -3÷-3=N....24÷-3=-8. Giving you N=-8
Answer:
Perimeter = 44.67
Step-by-step explanation:
Hey there! We are given two decimal numbers to compare.
52.311 and 52.31
These two numbers are similar except that 52.311 has another 1 in while 51.31 doesn't.
Keep in mind that 52.31 can also refer to 52.310
So we are comparing 52.311 and 52.310
Since 1 is greater than 0.
52.311 is greater than 52.31 (52.311 > 52.31)
Let me know if you have any questions!
Topic: Decimal Numbers
Answer:
8 one-dollar bills
3 five-dollar bills
2 ten-dollar bills
Step-by-step explanation:
Let x = # of one-dollar bills, y = # of five-dollar bills, and z = # of ten-dollar bills. Total amount in the wallet is $43, so the first equation would be 1x + 5y + 10z = 43. Next, there are 4 times as many one-dollar bills as ten-dollar bills, so x = 4z. There are 13 bills in total, so x + y + z = 13
x + 5y + 10z = 43
x = 4z
x + y + z = 13
x + 5y + 10z = 43
x + 0y - 4z = 0
x + y + z = 13
5y + 14z = 43
-y - 5z = -13
5y + 14z = 43
-5y - 25z = -65
-11z = -22
z = 2
x = 4z
x = 4*2 = 8
x + y + z = 13
8 + y + 2 = 13
10 + y = 13
y = 3
