She edits 3 pages in a minute, so it would take her one minute
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.
The team can miss no more than (less than or equal to) 4 chances to score a point.
Answer:
B.
![{ \tt{f(x) = \sqrt[3]{x + 11} }}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bf%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20%2B%2011%7D%20%7D%7D)
let the inverse of f(x) be m:
![{ \tt{m = \sqrt[3]{x + 11} }} \\ { \tt{ {m}^{3} = x + 11}} \\ { \tt{ {m}^{3} - 11 = x}} \\ { \tt{ {f}^{ - 1}(x) = {m}^{3} - 11 }}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bm%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20%2B%2011%7D%20%7D%7D%20%5C%5C%20%7B%20%5Ctt%7B%20%7Bm%7D%5E%7B3%7D%20%20%3D%20x%20%2B%2011%7D%7D%20%5C%5C%20%7B%20%5Ctt%7B%20%7Bm%7D%5E%7B3%7D%20%20-%2011%20%3D%20x%7D%7D%20%5C%5C%20%7B%20%5Ctt%7B%20%7Bf%7D%5E%7B%20-%201%7D%28x%29%20%3D%20%20%7Bm%7D%5E%7B3%7D%20%20-%2011%20%7D%7D)
substitute for x in place of m:
