The solution to the problem is as follows:
We have 2+.8(2) + .8(.8(2)) + .8(.8(.8(2))) + ... =
2( .8^0 + .8^1 + .8^2 + .8^3 + ... ) =
2(.8^n -1) / (.8-1) . As n-->infinity, .8^n-->0 giving us
<span>2(-1)/(-.2) = 2(5) = 10 meters.
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Answer:
P(x) = (0.049x - 0.0000015x²)
Step-by-step explanation:
price per sticker is 0.14 − 0.000002x dollars
total cost of producing the order is 0.091x − 0.0000005x² dollars.
P(x) = profit = Revenue - Cost
Let the number of units of stickers made be x
Revenue = (price per sticker) × (total units sold) = (0.14 − 0.000002x) × (x)
= (0.14x - 0.000002x²) dollars.
Cost of producing x units in the order = (0.091x − 0.0000005x²)
P(x) = 0.14x - 0.000002x² - (0.091x − 0.0000005x²) = 0.14x - 0.091x - 0.000002x² + 0.0000005x²
= (0.049x - 0.0000015x²)
P(x) = (0.049x - 0.0000015x²)
Hope this Helps!!!
Answer:
The amount of thermal energy that is generated is 1000 joules.
Step-by-step explanation:
Let consider the person diving into a pool as a closed system, that is, a system with only energy interaction with the surroundings. According to the First Law of Thermodynamics, which is a generalization of the Principle of Energy Conservation, the total energy of the system is neither destroyed, nor created, only transformed. The initial gravitational potential energy is transformed into translational kinetic and thermal energy. That is to say:

Where:
- Gravitational potential energy, measured in joules.
- Translational kinetic energy, measured in joules.
- Thermal energy, measured in joules.
The thermal energy is now cleared:

Given that
and
, the amount of thermal energy that is generated is:


The amount of thermal energy that is generated is 1000 joules.
Answer:
It's A, Apex confirmed
Step-by-step explanation: