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Alekssandra [29.7K]
2 years ago
15

Find the value of f(2)

Mathematics
1 answer:
Nesterboy [21]2 years ago
4 0

Answer:

2f is the answer isk how to explain but it's 2f

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A car travels 24 km in 15 minutes. How far does it travel in 1 and a half hours
VladimirAG [237]

Answer:

144 km

Step-by-step explanation:

1 hour and a half hour = 90 minutes.

In 15 minutes a car travels 24 km

In 1 minute a car travels (24÷15) = 1.6 km

In 90 minutes a car travels (90×1.6)= 144 km

Ans.- 144 km

4 0
2 years ago
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

Concentration = Quantity/volume = Q/200

outflow = concentration × rate of water inflow = Q/200 g/liter × 2 liters/min = Q/100 g/min.

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

Q' = -Q/100 This is our differential equation. We solve it as follows

Q'/Q = -1/100

∫Q'/Q = ∫-1/100

㏑Q  = -t/100 + c

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

when t = 0, Q = 200 L × 1 g/L = 200 g

Q(0) = 200 = Ae^{(-0/100)} = Ae^{(0)} = A\\A = 200.\\So, Q(t) = 200e^{(-t/100)}

We are to find t when Q = 1% of its original value. 1% of 200 g = 0.01 × 200 = 2

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

㏑0.01 = -t/100

t = -100㏑0.01

t = 460.52 min

6 0
3 years ago
What type of angle is m ?
Eduardwww [97]
90 degree
or right angle 
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7 0
3 years ago
A man works 35 5/6 hours in 5 days. what is his average work day?​
valina [46]

Answer:

7 1/6

Step-by-step explanation:

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2 years ago
Why is Wikipedia not considered to be a credible source?
UNO [17]

Answer: b

Step-by-step explanation:

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3 years ago
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