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Marina CMI [18]
3 years ago
11

I need the answer Please

Mathematics
1 answer:
Andre45 [30]3 years ago
4 0
If each inch is 40 miles then 7(40) = 280 and add the 1/4 which is 10 so the answer is 290
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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
PLEASE HELP AND QUICK!!!
Lena [83]

Answer:

A

Step-by-step explanation:

dude trust me

8 0
2 years ago
1 2/7 divided by -2 1/4
Alchen [17]

Answer:       0.5714

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
I need help finishing a question. I used the explanation function on the program, but it didn't specify what to do to get the fi
leva [86]

I would compute sqrt(1 + 160pi^2) first to get approximately 39.75093337

Add this to 1 and we have 40.75093337

Then divide over 2pi to get a final approximate result of 6.48571248

So x = 6.48571248 is one approximate solution

In short, I computed \frac{1+\sqrt{1+160\pi^2}}{2\pi} only focusing on the plus for now.

----------------------

If you were to compute \frac{1-\sqrt{1+160\pi^2}}{2\pi} you should get roughly -6.167402596 as your other solution. Each solution can then be plugged into the original equation to check if you get 0 or not. You likely won't land exactly on 0 but you'll get close enough.

6 0
3 years ago
Read 2 more answers
Really need help <br> Five less than twice what negative number squared is 157?
Cerrena [4.2K]

Answer:

-9

Step-by-step explanation:

2(-x)² - 5 = 157

2x² - 5 = 157

add 5 to each side of the equation:

2x² = 162

divide both sides by 2:

x² = 81

√81 = 9 or -9

5 0
3 years ago
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