The answer is 30720
A = P * rⁿ
A - the final population
r - the growth rate
P - the initial number of bacteria
n - the number of hours
We know:
A = ?
r = 2 (it doubles)
P = 15
n = 12
After 11 hours
A(11) = 15 * 2¹²
A(11) = 15 * 2048
A(11) = 30720
After 12 hours
A(12) = 15 * 2¹²
A(12) = 15 * 4096
A(12) = 61440
<span>How many bacteria are grown during the 12th hour?
A(12) - A(11) = 61440 - 30720 = 30720</span>
The answer is y=4/-3
Or y=4x-3
Remember the order of operations. The first step in this problem will be to solve the exponent.
Take (2x)^3. Remember that since there are parentheses around 2x, that means you have to cube 2 and x.
(2x)^3 = 2^3 * x^3 = 8x^3
Now multiply that answer by 4 to finish simplifying.
8x^3 * 4 = 32 x^3
Your answer should be: 32x^3
Answer: x = - 111
Step-by-step explanation:
- Add the like terms on the right side of the equation. 45 + 85 = 130. 130 - 180 = - 50. The equation simplifies to x + 61 = - 50
- Subtract 61 on both sides. x = - 111
Answer:
See below.
Step-by-step explanation:
2x^2 - 2x - 12 = 0
2 is a factor so we write:
2(x^2 - x - 6) = 0
2(x - 3)(x + 2) = 0
The solutions are x = -2 and x = 3 which means that the graph of the equation passes through the x-axis at (-2, 0) and (3, 0). The graph is a parabola opening upwards. Also the multiplier of 2 produces a vertical transformation (stretching) of the graph of x^2 - x - 6.