Answer:
See Below.
Step-by-step explanation:
By the definition of the logarithm, if we have:
This means that we have some value <em>y</em> such that:
If <em>x</em> is -8, then:
As you can see,<em> </em>there is no real value* that can make the result negative. No matter what the value of <em>y</em> is, we will simply get another positive value.
So, -8 or any other negative value or zero is not included in our domain. 0 is not included because, likewise, we can’t raise 2 to a power and get 0 as a result.
*There is no <em>real</em> value for which 2 raised to <em>y</em> is -8. However, as you will learn much much later, there are in fact <em>infinitely</em> many <em>complex </em>(imaginary) solutions such that 2 raised to <em>y </em>is indeed -8.
Answer:
Step-by-step explanation:
The work is define as the integral of the force times distance. So we have:
Now, we can write the force in terms of density.
V is the volume (V=2*1*1=2 m³)
So the work will be:
The limit of integration is between 0 and 0.5 because we want to pump half of the water out of the aquarium.
I hope it helps you!
Answer:
Number of edges in the resulting solid = 12
Step-by-step explanation:
A wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points that are 1 inch from each corner.
We are supposed to find the number of edges that are in the resulting solid.
In some corners , if we take out inch from both, then there would be nothing remaining.
The two faces along the height would be removed and it will become sharpened.
So the number of edges = 4 + 4 + 4 = 12
Answer:
Team D has the most variability; range of ages from 8 years old to 58 years old
Team A has the oldest of ages
Step-by-step explanation:
Team D has the most variability; range of ages from 8 years old to 58 years old
Team A has the oldest of ages, with the oldest being 62 years old and youngest being 22 years old
Team B has the youngest member at 15 years
Team C has the youngest member at 22 years.
Team D has the youngest member at 8 years old.
The oldest group would be the one with the highest age for the mean and highest age range.
Volume of the Cone = (π*r^2*h)/3
CONE has 4 letters in it. CYLINDER has 8 letters in it. So Cone volume < Cylinder volume..
