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sasho [114]
3 years ago
13

Determine if the problem below has a mistake or not. Identify the mistake and explain how to correct it.

Mathematics
1 answer:
pochemuha3 years ago
4 0

Answer:

The problem has a mistake in it. The mistake is found in line 3. The person who solved the problem subtracted 6 from both sides when they should have added 6.

x = 1

Step-by-step explanation:

4x-2=8-6x

10x-2=8

10x=10

x= 1

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If 2 1/2 = 5n then n equals 1/2
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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
What is 789+765-98-332-3
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8 0
3 years ago
Solve the equations and show how you solve for them
GuDViN [60]

Step-by-step explanation:

  • 6x-3=11
  • 6x=11+3
  • 6x=14
  • x=14/3
  • x=2.33

  • 15=x/3+2
  • 15-2=x/3
  • 13=x/3
  • x=13×3
  • x=39

  • -4(x-1)=7(x+4)
  • -4x+1=7x+28
  • -4x-7x=28-1
  • -11x=27
  • x=27/-11
  • x=2.45

  • 3(2x+1)=6x
  • 6x+1=6x
  • 6x-6x=1
  • <em>No </em><em>solution</em>
5 0
3 years ago
Read 2 more answers
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