What will our coffee's temperature be after 30 minutes if we added 50 g of cream at a temperature of 10∘C immediately to our 250 g of coffee. Recall that our coffee would normally cool at a rate of T=A+(T0​−A)e−kt. where A is the ambient temperature of 20∘C,T0​ is the initial temperature, and k is the conductivity constant. 1. Calculate the new initial temperature of our cream and coffee mixture, Tadded ​, by using the formula Tadded​=30050Tc​+250T​ 3 2. Calculate the new conductivity constant, kadded​, of the mixture by using the formula kadded ​=mc​+mm​k. 3. Give the function for the temperature of our mixed drink as Tmix ​=A+(Tadded ​−A)e−kadded ​t. 4. Find the temperature of the immediately mixed coffee after 30 minutes.