Answer: D . ![N(t) = 3 + (0.25t)^3 - 8(1.06)^t](https://tex.z-dn.net/?f=N%28t%29%20%3D%203%20%2B%20%280.25t%29%5E3%20-%208%281.06%29%5Et)
Step-by-step explanation:
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](https://tex.z-dn.net/?f=A%28t%29%20%3D%205%20%2B%20%280.25t%29%5E3)
The number of bacteria of species B, B(t), after t hours is represented by the function, ![B(t) = 2 + 8(1.06)^t](https://tex.z-dn.net/?f=B%28t%29%20%3D%202%20%2B%208%281.06%29%5Et)
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](https://tex.z-dn.net/?f=N%28t%29%3DA%28t%29-B%28t%29%5C%5C%5C%5C%3D5%20%2B%20%280.25t%29%5E3-%282%20%2B%208%281.06%29%5Et%29%5C%5C%5C%5C%3D5%20%2B%20%280.25t%29%5E3-2-8%281.06%29%5Et%5C%5C%5C%5C%3D5-2%20%2B%280.25t%29%5E3-8%281.06%29%5Et%5C%5C%5C%5C%3D3%2B%280.25t%29%5E3-8%281.06%29%5Et)
Hence, the correct answer should be : D . ![N(t) = 3 + (0.25t)^3 - 8(1.06)^t](https://tex.z-dn.net/?f=N%28t%29%20%3D%203%20%2B%20%280.25t%29%5E3%20-%208%281.06%29%5Et)
area of a triangle is 1/2 x base x height
base = 19
height = 3
19 *3 = 57
1/2 x 57 = 28.5 square ft.
![3 - 5 \sqrt{15x} + \sqrt{15x} - 25x \\ \\ 3 - 4 \sqrt{15x} - 25x](https://tex.z-dn.net/?f=%203%20-%205%20%5Csqrt%7B15x%7D%20%20%2B%20%20%5Csqrt%7B15x%7D%20%20-%2025x%20%5C%5C%20%20%5C%5C%203%20-%204%20%5Csqrt%7B15x%7D%20%20-%2025x)
I'm confused too but that what i got
S = 32 and t = 45
You replace the letters into numbers...
Since (st) is the same thing as (s × t), it would be 32 × 45, which equals to 1,440.
Then replace the r with 5, so now it's (6 × 5), instead of (6r).
st ÷ (6r) → 1,440 ÷ 30 = 48
Value of st ÷ (6r) = 48
Answer:
5. y = -1/2x + 6
6. y = 1/2x + 150
7. y = 10x + 20
8. y = 25x
Step-by-step explanation:
Look at the y-intercept and eliminate the answers you dont need.
Then find the slope of each.