Question

innutes since the can T(x)=-22+46e⁻⁰.⁵ˣ .Find the initial temperature of the soda and i Round your answers to the nearest degree.

Answer 1

approximately -5.11472

Explanation:

1. Substitute x = 2 into the function: T(2) = -22 + 46e^(-0.5*2).
2. Simplify the exponent: T(2) = -22 + 46e^(-1).

3. Calculate e^(-1) using the value of e (approximately 2.71828): T(2) = -22 + 46*2.71828^(-1).
4. Evaluate the exponent: T(2) = -22 + 46*0.36788.
5. Multiply and add: T(2) = -22 + 16.88528.
6. Finally, perform the addition: T(2) ≈ -5.11472. Therefore, T(2) is approximately -5.11472.