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Marina CMI [18]
3 years ago
9

Transform the equation.

Mathematics
1 answer:
zvonat [6]3 years ago
5 0

Answer:

2 (6/x-6)+4

Step-by-step explanation:

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Suppose brine containing 0.2 kg of salt per liter runs into a tank initially filled with 500 L of water containing 5 kg of salt.
Oliga [24]

Answer:

(a) 0.288 kg/liter

(b) 0.061408 kg/liter

Step-by-step explanation:

(a) The mass of salt entering the tank per minute, x = 0.2 kg/L × 5 L/minute = 1 kg/minute

The mass of salt exiting the tank per minute = 5 × (5 + x)/500

The increase per minute, Δ/dt, in the mass of salt in the tank is given as follows;

Δ/dt = x - 5 × (5 + x)/500

The increase, in mass, Δ, after an increase in time, dt, is therefore;

Δ = (x - 5 × (5 + x)/500)·dt

Integrating with a graphing calculator, with limits 0, 10, gives;

Δ = (99·x - 5)/10

Substituting x = 1 gives

(99 × 1 - 5)/10 = 9.4 kg

The concentration of the salt and water in the tank after 10 minutes = (Initial mass of salt in the tank + Increase in the mass of the salt in the tank)/(Volume of the tank)

∴ The concentration of the salt and water in the tank after 10 minutes =  (5 + 9.4)/500 = (14.4)/500 = 0.288

The concentration of the salt and water in the tank after 10 minutes = 0.288 kg/liter

(b) With the added leak, we now have;

Δ/dt = x - 6 × (14.4 + x)/500

Δ = x - 6 × (14.4 + x)/500·dt

Integrating with a graphing calculator, with limits 0, 20, gives;

Δ = 19.76·x -3.456 = 16.304

Where x = 1

The increase in mass after an increase in = 16.304 kg

The total mass = 16.304 + 14.4 = 30.704 kg

The concentration of the salt in the tank then becomes;

Concentration = 30.704/500 = 0.061408 kg/liter.

6 0
3 years ago
Any help would be appreciated! :)
ikadub [295]

Answer:

-7, then -13, then -19

Step-by-step explanation:

Plug in x values to get y.

y = -2(0) - 7

y = 0 - 7

y = -7

y = -2(3) - 7

y = -6 - 7

y = -13

y = -2(6) - 7

y = -12 - 7

y = -19

Hope this helps. :0)

7 0
2 years ago
Read 2 more answers
Suppose f(x) = 3x2 – 2x: Find f(-4). А B -40 ОО C 56<br>plz helpp​
amid [387]

Answer:

f(-4) = 56

Step-by-step explanation:

f(x) = 3x² - 2x

To find f(-4), substitute -4 for all the values of x in f(x).

f(-4) = 3(-4)² - 2(-4)

Square -4.

f(-4) = 3(16) - 2(-4)

Multiply 3 and 16.

f(-4) = 48 - 2(-4)

Multiply -2 and -4.

48 + 8

Add.

56

You had the right idea! :)

7 0
3 years ago
How do write fifty and six hundredths in standard form
BaLLatris [955]
Well before the descimal its 5,600 after decimal is 0.56
5 0
3 years ago
A can of tuna fish is a cylinder with a height of 1.75 inches and a diameter of 3 inches. If the can is half full, how many cubi
zlopas [31]

Answer: 6.185in^3

Step-by-step explanation:

The formula for calculate the volume of a cylinder is:

V_{cylinder}=\pi r^2h

r is the radius of the cylinder and h is the height of the cylinder.

Given the diameter of 3 inches, calculate the radius of the cylinder with:

r=\frac{d}{2} (Where d is the diameter)

 r=\frac{3in}{2}=1.5in

Knowing the height and the radius, you can calculate the volume of the entire can of tuna:

V_{can}=\pi (1.5)^2(1.75in)=12.37in^3

As you want to know the cubic inches of tuna that are in the can (volume of tuna), and you know that the can is half full, then:

V_{tuna}=\frac{V_{can}}{2}\\\\V_{tuna}=\frac{12.37in^3}{2}\\\\V_{tuna}=6.185in^3

5 0
3 years ago
Read 2 more answers
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