Step-by-step explanation:
The equation in the question is false.
Answer:
Step-by-step explanation:
Given equation:
Expand the left side:
Let all terms on the left side have the same denominator of 7:
Join the terms on the left side:
Let all the terms on the right side have the same denominator of 3:
Join the terms on the right side:
Cross multiply:
Expand:
Add 12x to both sides:
Add 252 to both sides:
Divide both sides by 40:
(previously gave the won't answer, so decided to edit and remove it sorry)
Answer:
Neither of the answer choices are the y-intercept. The y-intercept in (0,7)
Step-by-step explanation:
The y-intercept is point in which a line or function crosses the y-axis.
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
