This is the additive identity postulate. The idea that adding 0 to any number results in the same number.
-6 x -8= 48 because a negative times a negative is a positive number
We have been given that a virus has infected 400 people in the town and is spreading to 25% more people each day. We are asked to write an exponential function to model this situation.
Since the number of infected people is increasing, so our model will be exponential growth model.
An exponential growth function is in form , where,
y = Final amount,
a = Initial amount,
r = Growth rate in decimal form,
x = Time.
Let us convert 25% into decimal form.
The initial number of infected people is , so our function would be .
To find the number of infected in 10 days, we will substitute in our given formula as:
Therefore, there will be approximately 3725 infected people in 10 days.
Edge length of the side of a cube = 5 inches
Then
Volume of the cube = (side)^3
= (5)^3
= 125 inches ^3
So the volume of the actual cube is 125 inches^3
Now after the side lengths are triple, then
New edge length of each side = 3 * 5 inches
= 15 inches
Then
New volume of the cube = (New side)^3
= (15)^3
= 3375 inches^3
Then the volume of the new cube is 3375 inches^3
So
The number of times the volume of the new cube is greater = 3375/125
= 27
So the volume of the new cube is 27 times greater than the old cube.