
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Newton's law of cooling describes the temperature change of an object at room temperature: if the initial temperature of the object is $T_{0}$, then the temperature $T$ after a certain time $t$ will satisfy $T-T_{a}={(\frac{1}{2})}^{\frac{t}{h}}(T_{0}-T_{a})$, where $T_{a}$ is the ambient temperature, and $h$ is called the half-life. There is a cup of hot tea at $85^{\circ}\mathrm{C}$ placed in a room at $25^{\circ}\mathrm{C}$. If the hot tea cools down to $55^{\circ}\mathrm{C}$ in $10$ minutes, determine the time it will take for the tea to cool down to $45^{\circ}\mathrm{C}$.

Present the answer in LaTex format: \boxed{Your answer}
user