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Answer:
a. 2,440 km
b.
Step-by-step explanation:
a. Diameter of Mercury =
Radius of Mercury = ½ of its diameter =
Radius of Mercury =
To convert the radius to ordinary number, multiply 2.44 by 1,000.
Radius of Mercury as an ordinary number =
b. Mass of Jupiter =
Mass of Saturn =
Difference between mass of Jupiter and mass of Saturn = (subtract 5.68 from 1.898 = 5.68. we would retain the largest exponent, which is raised to the lower of 27.)
Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of
(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min
and flows out at a rate of
(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min
Then the net flow rate is governed by the differential equation
Solve for S(t):
The left side is the derivative of a product:
Integrate both sides:
There's no sugar in the water at the start, so (a) S(0) = 0, which gives
and so (b) the amount of sugar in the tank at time t is
As , the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.
Answer:
x = -30
cos(x - 30) = ½
Step-by-step explanation:
Look at the picture
