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Crazy boy [7]
2 years ago
3

Mei and Anju are sitting next to each other on different horses on a carousel. Mei’s horse is 3 meters from the center of the ca

rousel. Anju’s horse is 2 meters from the center. After one rotation of the carousel, how many more meters has Mei traveled than Anju? π more meters 2π more meters 4π more meters 5π more meters
Mathematics
2 answers:
mars1129 [50]2 years ago
7 0

Answer:

The answer is B on Edge 2020

Step-by-step explanation:

I did the Exam

Sliva [168]2 years ago
5 0

Answer:

After one rotation the number of meters mei has traveled than Anju is 2·π

Step-by-step explanation:

The given parameters are;

Distance of Mei from the center of the carousel, r_M = 3 m

Distance of Anju's horse from the center of the carousel, r_A = 2 m

We note that the motion of the carousel is circular and their distance from the center of the carousel is the radius of the circle in which Mei and Anju will move

The distance they will move is the circumference of the circle = 2 × π × r

The distance traveled by the Mei in one rotation = 2 × π × r_M = 2 × π × 3 = 6·π

The distance traveled by the Anju in one rotation = 2 × π × r_A = 2 × π × 2 = 4·π

After one rotation, the difference in distance traveled by Mia and Anju = 6·π - 4·π = 2·π

Therefore, after one rotation the number of meters mei has traveled than Anju = 2·π.

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\bf \textit{difference of cubes}
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Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains liters of a dye solution with a
Alja [10]

Answer:

t = 460.52 min

Step-by-step explanation:

Here is the complete question

Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 liters of a dye solution with a concentration of 1 g/liter. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 liters/min, the well-stirred solution flowing out at the same rate.Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.

Solution

Let Q(t) represent the amount of dye at any time t. Q' represent the net rate of change of amount of dye in the tank. Q' = inflow - outflow.

inflow = 0 (since the incoming water contains no dye)

outflow = concentration × rate of water inflow

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So, Q' = inflow - outflow = 0 - Q/100

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㏑Q  = -t/100 + c

Q(t) = e^{(-t/100 + c)} = e^{(-t/100)}e^{c}  = Ae^{(-t/100)}\\Q(t) = Ae^{(-t/100)}

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2 = 200e^{(-t/100)}\\\frac{2}{200} =  e^{(-t/100)}

㏑0.01 = -t/100

t = -100㏑0.01

t = 460.52 min

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