Answer:
A. -f(1/2 x)
Step-by-step explanation:
Reflextion about the x-axis is
f(x) -> -f(x)
and horizontal dilation is
f(x) -> f(-x/b) where b is the factor of dilation.
so the proper answwer is
A. -f(1/2 x)
Procedure:
1) Integrate the function, from t =0 to t = 60 minutues to obtain the number of liters pumped out in the entire interval, and
2) Substract the result from the initial content of the tank (1000 liters).
Hands on:
Integral of (6 - 6e^-0.13t) dt ]from t =0 to t = 60 min =
= 6t + 6 e^-0.13t / 0.13 = 6t + 46.1538 e^-0.13t ] from t =0 to t = 60 min =
6*60 + 46.1538 e^(-0.13*60) - 0 - 46.1538 = 360 + 0.01891 - 46.1538 = 313.865 liters
2) 1000 liters - 313.865 liters = 613.135 liters
Answer: 613.135 liters
Answer:
he gained 3 pounds :)
Step-by-step explanation:
also im not really sure about the ounces!!!
Answer: OPTION B.
Step-by-step explanation:
You need to analize the information given in order to solve this exercise.
According to the explained in the exercise, the graph shows Eli's distance (in miles) away from his house as a function of time (in minutes).
Then, based on that you can determine that he started his trip from the point
(Notice that the time and the distance are zero)
Observe in the graph that he arrived to the library (which is 4 miles away from his house) after 30 minutes.
Then, he stayed at the library. You know this because it is represented with an horizontal line.
Now you can identify in the graph that, from the point
,in which the time in minutes is
, Eli began his trip from the library to his house.
Therefore, based on the above, you can determine that, when the time is equal to 120 minutes, Eli rode his bicycle home from the library.
Answer:
2 solutions; x=2.5 x=-25
Step-by-step explanation:
16x^2 = 100
x^2 = 100/16
x^2 = 6.25
x = (+-) sqrt 6.25
x = (+-) 2.5