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gulaghasi [49]
3 years ago
15

Find all real solutions of the equation, approximating when necessary.

Mathematics
1 answer:
worty [1.4K]3 years ago
8 0

Answer:

id say b XX-2.426

Step-by-step explanation:

will if u add all the xs toghether depending on what grade ur in it would probly be 16+15=0 but thats not one of the answers so you would have to simplify it or i shoud say solve it differently

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A tank with a capacity of 1600 L is full of a mixture of water and chlorine with a concentration of 0.0125 g of chlorine per lit
Veronika [31]

Answer:

y(t) = 20 [1600^(-5/3)] x (1600-24t)^ (5/3)

Step-by-step explanation:

1) Identify the problem

This is a differential equation problem

On this case the amount of liquid in the tank at time t is 1600−24t. (When the process begin, t=0 ) The reason of this is because the liquid is entering at 16 litres per second and leaving at 40 litres per second.

2) Define notation

y = amount of chlorine in the tank at time t,

Based on this definition, the concentration of chlorine at time t is y/(1600−24t) g/ L.

Since liquid is leaving the tank at 40L/s, the rate at which chlorine is leaving at time t is 40y/(1600−24t) (g/s).

For this we can find the differential equation

dy/dt = - (40 y)/ (1600 -24 t)

The equation above is a separable Differential equation. For this case the initial condition is y(0)=(1600L )(0.0125 gr/L) = 20 gr

3) Solve the differential equation

We can rewrite the differential equation like this:

dy/40y = -  (dt)/ (1600-24t)

And integrating on both sides we have:

(1/40) ln |y| = (1/24) ln (|1600-24t|) + C

Multiplying both sides by 40

ln |y| = (40/24) ln (|1600 -24t|) + C

And simplifying

ln |y| = (5/3) ln (|1600 -24t|) + C

Then exponentiating both sides:

e^ [ln |y|]= e^ [(5/3) ln (|1600-24t|) + C]

with e^c = C , we have this:

y(t) = C (1600-24t)^ (5/3)

4) Use the initial condition to find C

Since y(0) = 20 gr

20 = C (1600 -24x0)^ (5/3)

Solving for C we got

C = 20 / [1600^(5/3)] =  20 [1600^(-5/3)]

Finally the amount of chlorine in the tank as a function of time, would be given by this formula:

y(t) = 20 [1600^(-5/3)] x (1600-24t)^ (5/3)

7 0
3 years ago
What is 34 x 222 x 4 5 - 67
erica [24]

Answer:

339593

<h2>Consider geting me brainliest if this helped</h2>

8 0
2 years ago
Read 2 more answers
The solid was created by connecting two congruent square pyramids to a rectangular prism.
AnnyKZ [126]

Answer:

  1920 square inches

Step-by-step explanation:

For a rectangular prism, the lateral area can be found by ...

  LA = Pl

where P is the perimeter, and l is the length.

For a square pyramid, the lateral area can be found by ...

  LA = (1/2)Ph

where P is the perimeter of the base, and h is the slant height of the triangular faces.

For a figure with a square cross section of perimeter P "capped" by square pyramids on either end, the total surface area is the sum of the lateral areas of the three components:

  SA = (Pl) + (1/2)Ph + (1/2)Ph

  SA = P(l+h) = (4×15 in)(14 +18 in) = (60)(32) in²

  SA = 1920 in²

The surface area of the solid seems to be 1920 square inches.

__

<em>Caveat</em>

If the figure is something other than what we have tried to describe, your mileage may vary. A diagram would be helpful.

3 0
3 years ago
Read 2 more answers
Can i get some help solving this problem please. 2x=x-10
Vaselesa [24]

Answer:

x=3.33

Step-by-step explanation:

2x=x-10

2x+x=10

3x=10

x= 10/3

x= 3.33

8 0
2 years ago
Iap/mmkj/aoe pls come​
Umnica [9.8K]

Answer:

cap

Step-by-step explanation:

7 0
3 years ago
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