(a) The 150 gallons of empty space in the tank are being filled at the rate of 1 gallon per minute. The tank will be filled after 150 minutes.
(b) s(0) = 5
.. s'(t) = -2s(t)/(50 +t)
Answer:
40% number of calories have increased
Step-by-step explanation:
Old Value ( Calories consume before) = 2000
New Value (increase in Calories consumed) = 2800
We need to find by what percent did the number of calories increase
To find percent increase, the formula used is:

Putting values in formula and finding percent increase

So, 40% number of calories have increased
Answer:
See attached for a graph
Step-by-step explanation:
We're going to plot sea level as y=0 and a depth of 8 meters as y=-8.
The problem statement tells you the initial point (x=0) is at normal ocean depth (y=-8), so the first point you put into your sine tool is ...
(x, y) = (0, -8)
The buoy takes 16 seconds to go from a high point to a low point, so the time to the first high point is half that, or x=8 seconds. That high point is 5 meters above its average depth, so is at y=-3.
The second point you will put into your sine tool is ...
(x, y) = (8, -3)
Answer:
Around 60.32 squared
Step-by-step explanation:
Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.