Barney is an ecologist who studies the change in the tiger population of Siberia over time.
The relationship between the elapsed time t, in decades, since Barney started studying the population, and the
number of tigers, N(t), is modeled by the following function:
N() = 710 (35)
Complete the following sentence about the rate of change in the tiger population. Round your answer to two
decimal places.
The tiger population loses
3/5
of its size every decades

Explanation:

The function is garbled and incomplete: the power is missing and the decaying factor seems to be 3/5.

Assume the power is a constant divided by the variable t. Then, the equation would have the form:

That function means that:

If n = 1, the power is t, which means that the popultion of tiger is reduced to 3/5 of its size every t decades.

If n = 2, the power is t/2 meaning that the popluation of tigers is reduced to 3/5 of its size every 2 decades.

If n = 3, the power is t/3 and the population of tigers is reduced to 3/5 of its size every 3 decades.

Assume n = 0.5, then the power is t/0.5 = 2t, and the population of tigers is reduced to 3/5 every half-decade, or 5 years.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

b. x- 48 =120

step-by-step explanation: