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3 years ago

A number decreased by 24 is -1

Mathematics

1 answer:

Zarrin [17]3 years ago

7 0

Answer:

Step-by-step explanation:

23 - 24 = -1

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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

2 years ago

Translate the sentence into an inequality twice the difference of a number and 6 is at least -22 use the variable x for the unkn

almond37 [142]

Answer:

2(n - 6) >= 22

Step-by-step explanation:

2n - 12 >= 22

2n >= 22+12

2n >= 34

n >= 34/2

n >= 17

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2 years ago

What do you get when you cross a stick of dynamite with a lemon pie

Natali5045456 [20]

You get a "boom meringue."

8 0

3 years ago

Read 2 more answers

4(x + 3) + 2x in the simplest form

leonid [27]

Answer:

6x + 12

Step-by-step explanation:

Distribute the 4 first. Now you have 4x + 12 + 2x. 4x + 2x are like terms and therefore they can be added. Your final simplified answer is therefore 6x + 12.

3 0

2 years ago

Read 2 more answers

A group of winning ticket holders share equally 90,000,000 lottery. Before the money is divided, three more winning ticket holde

Kruka [31]

Let's assume

people were in the original group of winners as x

A group of winning ticket holders share equally 90,000,000 lottery

Before the money is divided, three more winning ticket holders are declared

so, total number of winning tickes =x+3

each persons share is reduced to 5,000,000

so, total money =5,000,000*(x+3)

and this must be equal to total money

$5000000(x+3)=90,000,000$

now, we can solve for x

and we get

$x+3=18$

Subtrac both sides by 3

$x+3-3=18-3$

$x=15$

so,

number of people were in the original group of winners is 15 ...........Answer

6 0

3 years ago