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LiRa [457]
3 years ago
10

What is an equation of the line that passes through the points (1,-7) and (-4,8) and put it in fully reduced form

Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0

equation of line passing through (1,-7)( -4,8)

First let's find slope (m)

m = (8+7)/(-4-1)

= 15/-5 = -3

(x1,y1) = (1,-7)

Plugging above value in

y - y1 = m( x-x1)

y+7 = -3( x-1)

y+7 = -3x +3

y+3x +4=0

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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
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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})

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2 years ago
Give correct answer and ill give brainliest
BARSIC [14]

Answer:

I believe its D

Step-by-step explanation:

7 0
3 years ago
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Who wants to help me on question 41. I don't understand what it means when it says "label a net".
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A net is basically a flattened out 3D solid. If you fold all the sides up, you would end up with the 3D model.

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In the image below, ABC ~ DEF What is the length of EF and the measure of D
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If triangle ABC is congruent to triangle DEF, then EF = BC = 27
This is because BC and EF are the last two letters of ABC and DEF respectively. They match up and correspond, being congruent by CPCTC

-------------------------------------------------------------------------------------------------------------

Similarly, if triangle ABC is congruent to triangle DEF, then angle D = angle A = 49 degrees

The letter D and the letter A are the first letters of DEF and ABC respectively. So they match up and are congruent by CPCTC

CPCTC = Corresponding Parts of Congruent Triangles are Congruent

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So in short, the answer is choice B) 27; 49

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