I only have 8 minutes left please help!!! The expression h(x)= -5x2 + 25x + 70 can be used to estimate the height(h), in meters,
of a toy rocket x seconds after it is launched from
a platform. Substitue 0 for h in the equation, and determinehow many seconds it will take for the rocket to hit the ground? Enter the
answer that makes the most real world sense for the scenario described.
a platform. Substitue 0 for h in the equation, and determinehow many seconds it will take for the rocket to hit the ground? Enter the
answer that makes the most real world sense for the scenario described.
1 answer:
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Answer:
32901 gallons
Step-by-step explanation:
First, we find the volume of the cylindrical water tank when it is full.
The volume of a cylinder is given as:
V =
where r = radius and h = height of the cylinder
The diameter of the tank is 20 feet, hence, its radius is 10 feet.
Volume, V, is therefore:
V =
This is the volume of the tank, when it is full.
When it is 70% full, the volume will be:
1 cubic foot () is 7.48 gallons.
Therefore, the volume of the 70% full tank in gallons will be:
4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons
The tank contains 32901 gallons of water.
(I'm going to translate y' to dy/dx as it makes it easier to read for me, you could change it back if you wanted.)
(separate the variables)
(by letting c = ln k and using log laws)
(raise everything to power e)
(applying boundary conditions)
Particular solution:
Particular solution: