Answer:
The correct option is;
[2.5, ∞)
Step-by-step explanation:
The given exponential equation can be expressed as follows;
10,000 × 4ˣ ≥ 320,000
Therefore we have;
4ˣ ≥ 320,000/10,000
4ˣ ≥ 32
㏒(4ˣ) ≥ ㏒(32)
x·㏒4 ≥ ㏒(32)
x ≥ ㏒(32)/㏒4
∴ x ≥ 2.5
Therefore, the interval the colony will have at least 320,000 bacteria is where x ≥ 2.5 or 2.5 ≤ x < ∞ which gives, the interval [2.5, ∞)
70% lololol hope this helps
Answer:
aₙ = 3n - 5
5th term = a₅ = 3.5 - 5 = 15 - 5 = 10
Hey there! :)
Answer:
1124.8 J.
Step-by-step explanation:
Given:
Distance: 25 meters.
Force: 70 N.
Direction: 50° with the horizontal.
Start by calculating the magnitude of the vector:
cos (50) = |x| / 70
70 · cos (50) = |x|
Solve:
44.99 ≈ |x|
This is the magnitude. To calculate the amount of work done, simply multiply by the distance she pushed the wheelbarrow:
44.99 × 25 ≈ 1124.8 J.