456 divided by 12= 38
Therefore his car travelled 38 miles per gallon of gas used.
This question is the application of differential eqns in order to derive a model for the temperature dependence with time. Actually, a general equation has already been derived for this type of cases. This equation is known as the Newton's Law of Cooling. The equation is
(T - Ts) / (To -Ts) = e^(-kt)
where T is the the temperature at any time t
Ts is the surrounding temperature
To is the initial temperature
k is the constant
t is the time
several assumptions have been made to arrive at this form, i suggest you trace the derivation of the general formula.
First we need to look for k using the initial conditions that is @t = 1.5 min, T = 50 F
substituting we get a k = 0.2703
therefore @ t = 1 min, T = 55.79 F
@ T = 15 F the time required is 9.193 min.
first, we can distribute the negative into the numbers in parentheses
9x-(4x-1)=2
9x-4x+1=2
now we can combine like terms and then isolate x
5x + 1 = 2
5x = 1
x = 1/5
hope this helps
That an easy way to show your work
Answer:
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Step-by-step explanation:
