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

5 0

3 years ago

∠A=6x+5 ∘ space, start color blueD, angle, A, equals, 6, x, plus, 5, degree, end color blueD \qquad\green{\angle B=4x + 45^\circ

anyanavicka [17]

Answer:

Step-by-step explanation:

Find the required figure in the attachment. From the figure, <A = <B (alternate interior angle)

Given

∠A=6x+5

∠B=4x+45

Since <A = <B hence;

6x+5 = 4x+45

Collect the like terms

6x-4x = 45-5

2x = 40

Divide both sides by 2;

2x/2 = 40/2

x = 20

Hence the value of x is 20°

Next is to get the measure of <A

Since <A = 6x+5

Substitute x = 20° into the expression

<A = 6(20)+6

<A = 120+6

<A = 126°

Hence the measure of <A is 126°

5 0

3 years ago