Answer:
It will take 4 minutes and 30 seconds for hot coffee to cool to a temperature of 25 ° C
Step-by-step explanation:
This problem can be modeled by a first order equation
T(t) = TA + kt
In which TA is the temperature at instant zero and r is the rate of warming(g>0) or cooling(k<0). t is the time in minutes.
The initial temperature of the cup of coffee is 70ºC. So TA = 70. The temperature cools at the rate of 10ºC per minute, so k = -10. So, the equation of the model is:
T(t) = 70 - 10t
We want to know the instant of time when T = 25, so:
25 = 70 - 10t
10t = 70 - 25
10t = 45
t = 4.5 minutes
It will take 4 minutes and 30 seconds for hot coffee to cool to a temperature of 25 ° C
Answer:
A).
Step-by-step explanation:
The 72 is the initial height in feet of the object.
Initially the time = 0 seconds. If we plug zero into the function we get:
h(0) -16(0)^2 + 110(0) + 72
= 0 + 0 + 72
= 72 feet.
Multiply each point by 3 because three hundred percent is (in decimal form) 3.00 OR just 3
Answer:
Step-by-step explanation:
5
−322
=
5
−1024
=
−5
1024
Answer: The relationship is proportional.
Step-by-step explanation: Because the baby sitters work corresponds to their hourly pay. (I think)
