Given : Jenny studied the characteristics of two species of bacteria. The number of bacteria of species A, A(t), after t hours is represented by the function,

$A(t) = 5 + (0.25t)^3$

The number of bacteria of species B, B(t), after t hours is represented by the function, $B(t) = 2 + 8(1.06)^t$

Then, the difference in the number of bacteria, N(t), of both the species after t hours will be :-

$N(t)=A(t)-B(t)\\\\=5 + (0.25t)^3-(2 + 8(1.06)^t)\\\\=5 + (0.25t)^3-2-8(1.06)^t\\\\=5-2 +(0.25t)^3-8(1.06)^t\\\\=3+(0.25t)^3-8(1.06)^t$

Hence, the correct answer should be : D . $N(t) = 3 + (0.25t)^3 - 8(1.06)^t$

7 0

3 years ago

What decimal is equivalent to each fraction?

Maksim231197 [3]

1/6 = 0.16 with a line over the 6 because it is repeating

3 0

2 years ago

What is the volume of a regular pyramid having a base area of 24 in.² and a height of 6 inches?

Assoli18 [71]

Answer:

48 in³

Step-by-step explanation:

The volume (V) of a pyramid is calculated as

V = $\frac{1}{3}$ × area of base × height

here area of base = 24 and height = 6, so

V = $\frac{1}{3}$ × 24 × 6 = 8 × 6 = 48 in³

3 0

3 years ago