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anastassius [24]
3 years ago
8

Plz help will give brainliest​

Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

B. 165 degree angle

Step-by-step explanation:

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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
If y = 2x - 1 and (3,5) and (4,7) are part of the pattern then what is the y coordinate of (5._)?
Umnica [9.8K]

Answer:

Step-by-step explanation:

y = 2x - 1

(5,?).....so we know that x = 5....so sub in 5 for x in ur original equation and find y

y = 2x - 1

y = 2(5) - 1

y = 10 - 1

y = 9.....so ur point is (5,9).....with y being 9

3 0
3 years ago
What is the positive root of the equation x ^2 + 5x = 150?
devlian [24]
the awnser I came out with is x=10,-15
6 0
3 years ago
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15 students went for a treat, 6 of the students got cookies what percent got cookies
11111nata11111 [884]

Answer:

the percent that got cookies is 45

Step-by-step explanation:

I'm too lazy so here's the picture

8 0
3 years ago
Mr. Gold had 4 times more cars than motorcycles in his garage. After he bought 4 more cars and sold 4 motorcycles, there were 8
fenix001 [56]

Answer: 36 cars and 9 motorcycles


Step-by-step explanation:

  1. It's given that he has x motorcycles to 4x cars
  2. After he bought the cars and sold the motorcycles, he had 4x+4 cars to x-4 motorcycles
  3. Since after this selling/buying, he has 8 times more cars than motorcycles, you can write the equation 4x+4=8(x-4)
  4. Once you solve you get 36 cars and 9 motorcycles
6 0
4 years ago
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