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3 years ago

Use the solutions below to write the quadratic expression in standard form. x=-6 x=2

Mathematics

1 answer:

Nonamiya [84]3 years ago

4 0

nenchcs nsndndekksks

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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,

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

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

$166.67r = 400$

$r = 2.4$

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

Javier owns 200 shares on one company. On Tuesday, the stock price dropped $19 per share. What was the total change in value of

katrin [286]

Answer:

-$3800

Step-by-step explanation:

Javier lost $19 on each of his 200 shares, so his total loss was ...

... 200 shares × $19/share = $3800

The portfolio lost $3800 in value on Tuesday.

8 0

3 years ago

You cut off half of a strip of paper.Then you cut off half of the piece that is left.Then you cut off half of the remaining piec

7nadin3 [17]

It goes like this 1/2, 1/4, 1/8. But if your asking about what fraction didn’t get affected than that just zero because the original peace was cut in half.

If that’s not what you mean can you please elaborate to me!

7 0

3 years ago

Two thirds a number plus 4 is 7

Sergio039 [100]

(2/3)x+4= 7

Subtract 4 from both sides
(2/3)x= 3

Divide both sides by 2/3. To divide by a fraction, multiply the first number by the reciprocal of the second.
3*3/2= 9/2

Final answer: 9/2 or 4.5

7 0

3 years ago

This scatter plot show the relationship between the temperature and amount of sales at a store. The line of best fit is shown on

Anit [1.1K]

Answer:

a) b ≈ 100

b) m ≈ 30

Step-by-step explanation:

5 0

3 years ago