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aleksandrvk [35]
2 years ago
13

Find the value of z in the triangle shown below.

Mathematics
1 answer:
suter [353]2 years ago
5 0

Answer:

x = 69.4 degrees

Step-by-step explanation:

∠x = sin(a·sin(B)/b) = 1.21158 rad = 69.419°

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Find the coefficient of x^2 in the expression of (x - 7)^5.

a. -3430

8 0
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What is the slope of the line
olya-2409 [2.1K]

Answer:

-1

Step-by-step explanation:

The rise over run is -2 over -2.

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2 questions<br> when can you combine like terms?<br> when can you NOT combine like terms?
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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})

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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
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S_A_V [24]

:) Brainliest pls?

Answer:

f(x) * g(x) = -35x^3 - 59x^2 - 74x - 72

Step-by-step explanation:

If f(x) = 7x+9 ang g(x) = -5x^2 - 2x - 8, then

f(x) * g(x) will be:

(7x+9)(-5x^2 - 2x -8)

f(x) * g(x) = -35x^3 - 59x^2 - 74x - 72

7 0
3 years ago
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