The temperature difference is a decaying exponential function of time. Here, it decreases from an initial difference of 15 °C to 10 °C after 25 minutes. So, that temperature difference can be modeled as ...

ΔT = 15(10/15)^(t/25)

We want to find the value of this at t=55. It is ...

ΔT = 15(2/3)^(55/25) ≈ 6.15

This is the amount the temperature of the drink is below room temperature.

drink temperature = (20 - 6.15) °C = 13.85 °C

The temperature of the drink after 55 minutes is about 13.85 °C.

3 0

2 years ago

Can someone please help! i have no clue what im doing

gulaghasi [49]

g(x) = -3x - 8

g(x) = 10

⇒ -3x - 8 = 10

⇒ -3x = 18

⇒ x= -6

g(-6) = 10 <==== answer is -6

7 0

3 years ago

Please answer!!!!<br> Express (x + 9)2 as a trinomial in standard form.

Ghella [55]

Answer:

x² +18x +81

Step-by-step explanation:

(a+b)²=a²+b²+2ab

(x+9)² = x²+9²+2*x*9= x² +18x +81

4 0

2 years ago