The machine will make 24 robots
20x^2+50 = -40x^2+110x [ Taking x as the unknown positive integer ]
STEP-BY-STEP SOLUTION:
( x + 4 )^2 + y^2 = 22
x^2 + 2 × x × 4 + 4^2 + y^2 = 22
x^2 + 8x + 16 + y^2 = 22
y^2 = 22 - x^2 - 8x - 16
y^2 = - x^2 - 8x + 6
FINAL ANSWER:
Therefore, the answer is:
D. y^2 = - x^2 - 8x + 6
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Answer:
- Mar 18: 125
- Mar 19: 318
- Mar 20: 743
- Mar 25: 15,070
Step-by-step explanation:
The six seemingly arbitrary points have no common difference or ratio, so cannot be modeled by a linear or exponential function.
The differences of the differences are not constant at any level, so the only polynomial model is 5th-degree. It is ...
(6n^5 -95n^4 +600n^3 -1825n^2 +2814n -1320)/60
where n = days after Mar 11. (Mar 12 corresponds to n=1.) The domain is n ≥ 1.
____
The 5th-degree polynomial increases very fast, but not as fast as an exponential function would.
The values for Mar 12 through Mar 25 are ...
3, 8, 11, 16, 25, 50, 125, 318, 743, 1572, 3047, 5492, 9325, 15070
Subtract the volume of the water from the volume of the tank to get the total volume of the marbles.
26 liters - 20.9 liters = 5.1 liters
He has 20.9 liters of water.
He has 85 marbles that add up to 5.1 liters of volume.
To find the volume of one marble, we divide 5.1 liters by 85.
(5.1 liters)/85 = 0.06 liters
The volume of each marble is 0.06 liters.
If he uses 200 marbles, the the marbles will occupy 200 * 0.06 liters = 12 liters.
The volume of the tank is 26 liters. 12 liters of volume is occupied by the marbles. The rest of the volume is water.
26 liters - 12 liters = 14 liters
