Answer:
B
Step-by-step explanation:
360÷85= 4.23529411764706
there for your result is between the whole numbers 4 and 5
Answer: 12.6 years
Step-by-step explanation:
Answer:
After 2 minutes the temperature of the hot chocolate will be 149.46 degrees Fahrenheit.
Step-by-step explanation:
We are going to use the Newton's law of cooling to solve this exercise. The Newton's law of cooling states that the amount of heat lost by a body is proportional to the difference of temperature between the body and the enviroment. We are going to use the following function :
T(t)=T_{0}+(T_{i}-T_{0}).e^{-kt}T(t)=T
0
+(T
i
−T
0
).e
−kt
Where ''T(t)'' is the temperature of the body that depends of the variable ''t'' which is time.
Where T_{0}T
0
is the temperature of the surroundings
In this case T_{0}T
0
is the temperature of the freezer
Where T_{i}T
i
is the initial temperature of the body which is cooling. In this case, T_{i}T
i
is the temperature of the hot chocolate
And where ''k'' is a constant. In this case, k=0.12k=0.12 is a data of the exercise
If we replace all the values in the equation and replacing t=2minutest=2minutes
⇒
T(2minutes)=0+(190-0).e^{-(0.12).(2)}T(2minutes)=0+(190−0).e
−(0.12).(2)
T(2minutes)=(190).(e^{-0.24})=149.46T(2minutes)=(190).(e
−0.24
)=149.46
We find that the temperature of the hot chocolate after 2 minutes is 149.46 degrees Fahrenheit
Using translation concepts, it is found that the table of values for function g(x) is given as follows:
x 0 1 2 3
g(x) -7 0 5 8
<h3>What happens when a function is reflected across the x-axis?</h3>
When a function is reflected across the x-axis, all it's values are multiplied by -1.
Hence, considering the values of f(x) given in the problem, the table of values for function g(x) is given as follows:
x 0 1 2 3
g(x) -7 0 5 8
More can be learned about translation concepts at brainly.com/question/4521517
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