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Darina [25.2K]
2 years ago
3

RADICALS PLEASE HELP(3√3 - 5√2) (2√3 + 5√2)

Mathematics
1 answer:
arlik [135]2 years ago
5 0

Answer: -32+5√6

Step-by-step explanation:

(3√3 - 5√2) (2√3 + 5√2)=

(3√3 * 2√3) + (3√3 * 5√2) - (5√2 * 2√3) - (5√2 * 5√2) =

(3*2*√3*√3) + (3*5*√3*√2) - (5*2*√2*√3) - (5*5*√2*√2)=

6*3 + 15*√(3*2) - 10*√(2*3) - 25*2=

18+15√6-10√6-50=

18-50+(15-10)*√6=-32+5√6

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n many population growth problems, there is an upper limit beyond which the population cannot grow. Many scientists agree that t
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Answer:

\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})

Step-by-step explanation:

The logistic function of population growth, that is, the solution of the differential equation is as follows:

P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}

We use this equation to find the value of r.

In this problem, we have that:

K = 16, P_{0} = 2, P(50) = 4

So we find the value of r.

P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}

4 = \frac{16*2e^{50r}}{16 + 2*(e^{50r} - 1)}

4 = \frac{32e^{50r}}{14 + 2e^{50r}}

56 + 8e^{50r} = 32e^{50r}}

24e^{50r} = 56

e^{50r} = 2.33

Applying ln to both sides of the equality

50r = 0.8459

r = 0.017

So

The differential equation is

\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})

3 0
3 years ago
What is -2(x+1) simplified
IrinaVladis [17]

Answer:

-2x - 2

Step-by-step explanation:

-2(x + 1)

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  • (-2)(x)+(-2)(1)
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Therefore, the answer is -2x - 2.

8 0
3 years ago
Solve the equation 5x+9 - x= 13 (use combine like term first)
Sophie [7]

Answer:

x=1

Step-by-step explanation:

5x+9 - x= 13

Combine like terms

4x +9 = 13

Subtract 9 from each side

4x+9-9 = 13-9

4x = 4

Divide each side by 4

4x/4 = 4/4

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3 years ago
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Lewis is saving for a down payment of $8,750 on a house. The initial amount of money he has saved is $250, and the amount of mon
sdas [7]

Answer:

8,750 = 250 + 340x

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3 years ago
Solve and graph the inequality |5 – v| < 6.
Jet001 [13]
5 - v < 6, 5 - v >= 0

-5 + v < 6, 5 - v < 0

1) - v < 6 -5 (move 5 to the right side and then multiply by -1 both sides of the inequality)
v > -1 (don't forget that here v <= 5)

2) v < 6 + 5 (move -5 to the right side)
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so from 1) you get that v is from -1 to 5 inclusive (-1;5]
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so by adding up results from 1) and 2) you get v is (-1; 11)

answer: (-1; 11)

3 0
3 years ago
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