Help with number 6 please. thank you.​

See Below.

Step-by-step explanation:

We are given that:

And we want to show that:

From the original equation, divide both sides by (T - T₀) and multiply both sides by dt. Hence:

Take the integral of both sides:

Integrate. For the left integral, we can use u-substitution. Note that T₀ is simply a constant. Hence:

Raise both sides to e:

Simplify:

Since the temperature T will always be greater than or equal to the surrounding medium T₀, we can remove the absolute value. Hence:

Therefore:

  about 5.6 days

step-by-step explanation:

we can fill the given information into the decay equation and solve for the value of t at which half the sample remains.

the half-life is about 5.6 days.

the photograph is photographer and- in the process- ourselves.

step-by-step explanation: