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Tanzania [10]
3 years ago
12

P(t) = 250 * (3.04)^t/1.98,

Mathematics
1 answer:
Alex17521 [72]3 years ago
5 0

Answer:

The concept which best describes the change of the population is the derivative of p(t)=250(3.04)^{\frac{t}{1.98}}.

Step-by-step explanation:

Observe that the function p(t)=250(3.04)^{\frac{t}{1.98}} describes the amount of rabbits at the time t (in years) but  no the rate of change of the population at a given instant. So you have to use the derivative of p(t) to obtain that rate of change at any instant. For example, if we derivate the function p(t)=250(3.04)^{\frac{t}{1.98}} we obtain:

p'(t)=250\cdot \log(\frac{1}{1.98})(3.04)^{\frac{t}{1.98}}

And if we want to find the rate of change at t=5 years we evaluate

p'(5)=250\cdot \log(\frac{1}{1.98})(3.04)^{\frac{5}{1.98}}=2326 rabbits/year

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4) Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each
zaharov [31]

Answer:

12

Step-by-step explanation:

So, she practices 12 hrs per week, and already has practiced 3 hrs this week.

This means she has 9 hrs left to practice.

3/4 of an hour is one session, so to find out the number of sessions she needs, you have to do (9 hours)/(one session)

which is basically 9 / ( 3/4)

\frac{9}{3/4}=\frac{9}{1} / \frac{3}{4}  = \frac{9}{1} * \frac{4}{3} = \frac{36}{3}  = 12

She needs 12 more sessions.

7 0
2 years ago
Read 2 more answers
Simplify i12<br><br> A.-1<br> B.-i <br> C.i <br> D.1
yuradex [85]

Answer:

D 1

Step-by-step explanation:

i^12

We know i^4 = 1

Rewriting

i^4^3

1^3

1

7 0
2 years ago
Find the length of a segment with an endpoint of (2, 1) and a midpoint of (–2, –1).
Travka [436]

Answer:

Length of segment =4\sqrt5 units = 8.94 units

Step-by-step explanation:

Given:

End point of line: (2,1)

Midpoint of line: (-2,-1)

To find length of line segment.

Solution:

Distance from endpoint to midpoint is half the length of segment as the midpoint divides the line into equal halves.

Distance from end point to mid point can be found out using distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2)

Plugging in points for end point (2,1) and midpoint(-2,-1).

d=\sqrt{(-2-2)^2+(-1-1)^2)

d=\sqrt{(-4)^2+(-2)^2)

d=\sqrt{16+4)

d=\sqrt{20}

d=2\sqrt{5}

Length of half segment =2\sqrt{5} units

∴ Length of segment = 2\times length\ of\ half\ segment= 2\times 2\sqrt5=4\sqrt5 units

5 0
2 years ago
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Phoenix [80]
First, distribute what's inside the parenthesis, and change all the subtractions to addition of negatives.

18 + -2 (x^2 + - 5x)

Next distribute the -2

18 + -2x^2 + 10x

Then I like to rearrange stuff to put it in standard form.

-2x^2 + 10x + 18
7 0
3 years ago
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Answer:

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Step-by-step explanation:

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