Answer:
81 times the original size
Step-by-step explanation:
AA0ktA=3A0=?=?=25hours=A0ekt
Substitute the values in the formula.
3A0=A0ek⋅25
Solve for k. Divide each side by A0.
3A0A0=e25k
Take the natural log of each side.
ln3=lne25k
Use the power property.
ln3=25klne
Simplify.
ln3=25k
Divide each side by 25.
ln325=k
Approximate the answer.
k≈0.044
We use this rate of growth to predict the number of bacteria there will be in 100 hours.
AA0ktA=3A0=?=ln325=100hours=A0ekt
Substitute in the values.
A=A0eln325⋅100
Evaluate.
A=81A0
At this rate of growth, we can expect the population to be 81 times as large as the original population.
Answer:
Number 1 is like terms
number 2 is equivalent expressions
Step-by-step explanation:
Answer:
1:14
2:16
3:18
4:20
Step-by-step explanation:
Let the angle be x.
Hence, its complement is 90 - x.
x = 3* (90 - x) - 70 = 270 - 3x - 70 = 200 - 3x
4x = 200
x = 50
Thus, the angle is 50°.
