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-Dominant- [34]
3 years ago
14

Factorise 2a – 4a3 + 6abc

Mathematics
1 answer:
Viefleur [7K]3 years ago
7 0
The answer for this will be

2a(1-2a ²+3bc)
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The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu
Kazeer [188]

Answer:

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that \frac{dP}{dt} = 400 when P = 200. With this, we can find r, that is, the growth rate,

So

\frac{dP}{dt} = rP(1 - \frac{P}{K})

400 = 200r(1 - \frac{200}{1200})

166.67r = 400

r = 2.4

So the differential equation is:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

3 0
3 years ago
Write an equation of a line that passes through (-12, -14) with slope 6.
damaskus [11]

The slope intercept form of a line is y = mx + b

  • m = slope
  • b = y-intercept

Plug in the slope, 6, into m.

Rewrite the equation;

  • y = 6x + b
  • We need to find b, your y-intercept, to finish this equation.

Plug in your point coordinate, (x, y) ⇒ (-12, -14) into the equation.

  • -14 = 6(-12) + b

Solve for b to find the y-intercept.

  • -14 = -72 + b
  • 58 = b

Your new equation (your answer) is<em> </em>y = 6x + 58.

6 0
3 years ago
The Floyds have considered three options to ensure they have at least $1,375 saved for their trip.
ANTONII [103]

I am guessing you are talking about Option 3. They start with $125. So they times it by 1.25 as we are using the multiplier method. So in the First month, it will be 156.25. Second it will be 195.3125. So in August it will be $476.837157. Of couse round it and you will get $476.84.

I believe there is a more efficent way of doing this but I have forgotten.

4 0
3 years ago
There ratio of boys to girls is 17:3 there are 740 people how many boys are there
julsineya [31]
Ratio of boys to girls= 17:3
number of people= 740

to find the number of boys out of 740 people, you have to add the ratio together and divide 740 by it. then multiply the answer by 17 because the ratio for boys is 17.

17+3=20

740÷20=37
37×17=629 

answer= 629 
 hope this helps....
 
8 0
3 years ago
Neeeeeeeeed your help
Over [174]

Answer:

9/15=3/5

so 3/5 is equivalent fraction of the 9/15

4 0
2 years ago
Read 2 more answers
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