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erica [24]
3 years ago
10

What is the answer for this equation: (-5, 4), m = -3

Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Answer:

3x+y+11=0 ans

Step-by-step explanation:

given question;(-5,4) is (x1,y1) and m=slope=-3

then, using formula

y-y1=m(x-x1)

y-4=-3(x+5)

y-4=-3x-15

3x+y+11=0 ans

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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.

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3 years ago
Suppose the radius of a circle is 3 units. What is its cercumference?
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It should be 6, radius is half of the circumference (6/3=2).
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3 years ago
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Answer:

The answer is B: 468.50

Step-by-step explanation:


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Which statements about 12 ÷ 7 are true? Use the array to answer the question. Check all that apply.
AURORKA [14]

Answer:

The remainder is 5

Step-by-step explanation:

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3 years ago
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