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Kaylis [27]
3 years ago
8

Help pls what does this mean

Mathematics
1 answer:
dezoksy [38]3 years ago
5 0
Driving with a dog cause you just have to mixed them to ether that’s it
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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
** ANSWER QUICKLY TIMED QUIZ **
maks197457 [2]
4x^2+32x-28=0\ \ \ |:4\\\\x^2+8x-7=0\ \ \ |+7\\\\x^2+8x=7\\\\x^2+2x\cdot4=7\ \ \ |+4^2\\\\x^2+2x\cdot4+4^2=7+4^2\\\\(x+4)^2=7+16\\\\(x+4)^2=23\\\\Answer:\ B.(x+4)^2=23
4 0
3 years ago
PLEASE HELP ASAP!!! THIS IS MY LAST QUESTION!! SHOW WORK!! DUE IN 5 MINS
IrinaK [193]

Answer:

Show questions

Step-by-step explanation:

common sense

4 0
2 years ago
State if the two triangles are congruent. If they are state how you know.<br> Help me
deff fn [24]

Answer:

i think its the last option.

Step-by-step explanation:

its not the first one because they it can be proved using AAS (but that option isnt available)

You can't prove it with SSS or ASA without more info

AAA doesn't exist

theirfore it must be the last option.

3 0
2 years ago
Read 2 more answers
12x - 2/3 = 83 1/3 <br><br> 12x=?<br><br> x=?
Serjik [45]

Answer:

12x = 84

x = 7

Step-by-step explanation:

12x = 83 1/3 + 2/3

12x = 84

x = 84/12

x = 7

Hope that helps!

4 0
2 years ago
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