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Kisachek [45]
2 years ago
13

Ayuda.........................................................................................

Mathematics
1 answer:
cestrela7 [59]2 years ago
4 0

Answer:

mhhh

Step-by-step explanation:

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Suppose that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another br
Lina20 [59]

Answer:

The differential equation for the amount of salt A(t) in the tank at a time  t > 0 is \frac{dA}{dt}=12 - \frac{2A(t)}{500+t}.

Step-by-step explanation:

We are given that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min.

The concentration of the solution entering is 4 lb/gal.

Firstly, as we know that the rate of change in the amount of salt with respect to time is given by;

\frac{dA}{dt}= \text{R}_i_n - \text{R}_o_u_t

where, \text{R}_i_n = concentration of salt in the inflow \times input rate of brine solution

and \text{R}_o_u_t = concentration of salt in the outflow \times outflow rate of brine solution

So, \text{R}_i_n = 4 lb/gal \times 3 gal/min = 12 lb/gal

Now, the rate of accumulation = Rate of input of solution - Rate of output of solution

                                                = 3 gal/min - 2 gal/min

                                                = 1 gal/min.

It is stated that a large mixing tank initially holds 500 gallons of water, so after t minutes it will hold (500 + t) gallons in the tank.

So, \text{R}_o_u_t = concentration of salt in the outflow \times outflow rate of brine solution

             = \frac{A(t)}{500+t} \text{ lb/gal } \times 2 \text{ gal/min} = \frac{2A(t)}{500+t} \text{ lb/min }

Now, the differential equation for the amount of salt A(t) in the tank at a time  t > 0 is given by;

= \frac{dA}{dt}=12\text{ lb/min } - \frac{2A(t)}{500+t} \text{ lb/min }

or \frac{dA}{dt}=12 - \frac{2A(t)}{500+t}.

4 0
3 years ago
Pls help because im awful at math
Vesnalui [34]

Answer:

8/4

Step-by-step explanation:

because 8 is x and x goes first and y is 4 and y goes last

hope this helps!

5 0
2 years ago
Read 2 more answers
Divide. 110 ÷ (−5) <br><br> A:−22<br><br> B:−5<br><br> C:5<br><br> D:22
cluponka [151]

The answer is -22. :P

7 0
3 years ago
Read 2 more answers
If j have 24,000 dollars and i invest in 15% of my moneg what would be my avarege money left
Lena [83]
15% of 24000 is 3600
24000-3600 = $20,400
3 0
3 years ago
Is 3x + x=3x true or false? If false, write the correct answer
myrzilka [38]

Answer:

This is true if x equals 0

Step-by-step explanation:

8 0
3 years ago
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