i. The Lagrangian is
with critical points whenever
- If , then .
- If , then .
- Either value of found above requires that either or , so we get the same critical points as in the previous two cases.
We have , , , and , so has a minimum value of 9 and a maximum value of 182.25.
ii. The Lagrangian is
with critical points whenever
(because we assume )
- If , then .
- If , then , and with we have .
We have , , , and . So has a maximum value of 61 and a minimum value of -60.
Answer:
10
Step-by-step explanation:
8 ÷ 4/5 = 10
I hope this helps!!
Answer:
0.67 / 100 : 31^3 : 31^3 / 25cm^3
x 10
0.67 / 100 = 67 / 10000000 grams/cm : 29791 / 15625 / 29791
149253.731 : 0.52
divide by 1000
= 149.253731
= 149.3 kg
Ratio kg = 149.3 : 0.5
Step-by-step explanation:
Mole Ratio
The mole ratio compares the number of moles in a balanced equation.
This is the comparison between the coefficients in front of the chemical formulas.
If a formula lacks a coefficient, it is the same as saying there is 1 mole of that species.
Mole ratios are used to predict how much product a reaction forms or to determine how much reactant is needed to make a set amount of product.
Mole Ratio Units
Mole ratio units are either mole:mole or else it is a dimensionless number because the units cancel out. For example, it's fine to say a ratio of 3 moles of O2 to 1 mole of H2 is 3:1 or 3 mol O2: 1 mol H2.
Answer:
C
Step-by-step explanation:
Since the vertex is 2,1, that's the only equation that works for it. The 2 has to be the opposite, so -2, and the 1 stays 1.
(a) 3x=4(x-2.25) (or simplified: 3x=4x-9)
(b) 3x=4x-9
0=x-9
x=$9
(c) 3x9=27
4x9=36
36-9=27
and 27=27 therefore they spent the same and it is correct
(d) Tanya's items cost $9 each and Tony's items cost $2.25 less than this, or $6.75