import sympy as sp

# Given values

T$\_$ambient $=20$ # Ambient temperature in degrees Fahrenheit

T$\_0=70$ # Initial temperature in degrees Fahrenheit

t$\_$half $=0\mathrm{.}5$ # Time in minutes when the thermometer reads $60\backslash$deg F

# Define the cooling constant k as a symbol

k $=$ sp$.$symbols$(\text{'}$k$\text{'})$

# Use the equation to set up an equation for k

equation $=$ sp$.$Eq$($T$\_$ambient $+($T$\_0-$ T$\_$ambient$)*$ sp$.$exp$(-$k $*$ t$\_$half$),60)$

# Solve for k

k$\_$value $=$ sp$.$solve$($equation$,$ k$)[0]$

# Now, use the value of k to find the temperature at t $=1$ minute

t$\_1\_$min $=1$ # Time in minutes

temperature$\_$at$\_1\_$min $=$ T$\_$ambient $+($T$\_0-$ T$\_$ambient$)*$ sp$.$exp$(-$k$\_$value $*$ t$\_1\_$min$)$

# Display the results

print$("$Cooling constant k:$",$ k$\_$value$)$

print$("$Temperature at t $=1$ minute:", temperature$\_$at$\_1\_$min.evalf$(),$ "degrees Fahrenheit"$)$