Answer:
35.9 grams
Step-by-step explanation:
We use the formula:

Where
q is heat released
m is mass
C_p is the constant 2.44
ΔT is change in temperature
We put the info in the formula and solve for m (mass):

The mass of ethanol is 35.9 grams
Answer:
6
Step-by-step explanation:
Let's say the numbers are "a" and "b"
thus

set the derivative to 0, and check the critical points, there's only one anyway
and do a first-derivative test, to see if it's a maximum
Consider, please, this solution/explanation:
1. suppose, that number of cars is 'x', numbers of buses is 'y'.
2. according to the condition 'a total of 32', it means that x+y=32. This is the 1st equation.
3. according to the condition in one car are 3x persons, in one bus are 27y persons, and totaly 3x+27y=408 people. This is the 2d equation.
4. if to solve the system of two equations:

Answer: 13 - b., 19 - c.
Answer:
8
Step-by-step explanation:
b=8
c=2
(8)(2)-(2)^3 = 16-8 =8