The dimension of an object is a topological measure of the size of its covering properties. Roughly speaking, it is the number of coordinates needed to specify a point on the object. For example, a rectangle is two-dimensional, while a cube is three-dimensional. The dimension of an object is sometimes also called its "dimensionality."
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: option a. A customer earns 1 free night per 10 nights stayed.
Explanation:
Building a table can help you:
x: number of nigths stayed ---------- f(x) = 1/x: number of free nights
10 --------------------------------------------- 10/10 = 1
20 -------------------------------------------- 20/10 = 2
30 -------------------------------------------- 30/10 = 3
40 -------------------------------------------- 40/10 = 4
Then, the pattern permits you to conclude that a customer earns 1 free night per each 10 nights stayed, which is the option a.
