Answer:
The year is 1979.
Step-by-step explanation:
Given:
The function relating fish population and number of years since 1972 is:
Now, when the fish population reaches 99 thousand, it means that 
. Now, plugging in in the above equation and solving for 
. This gives,
Therefore, the year after 7 years passed since 1972 is given as:
1972 + 7 = 1979.
So, the year when the number of fish reaches 99 thousand is 1979.
Answer:
Option B
Step-by-step explanation:
The absolute value of a number is how far a number is from zero. We can use ' | | ' to represent the absolute volume of a number. The distance, or absolute value, of -8 is 8.
We can represent this by writing:
|-8| = 8
Option B should be the correct answer.
Answer:
4pi in^2
Step-by-step explanation:
Lateral surface area of a cylinder = 2πrh
π = pi
r = radius
h = height
Let me illustrate with an example
A cylinder has the following dimensions
r = radius = 20
h = height = 10
lateral area = 2 x π x 20 x 10 = 400π
If dimensions are reduced to one-fifth their original length, new dimensions are
r = radius = 20 x 1/5 = 4
h = height = 10 x 1/5 = 2
New lateral area = 2 x 4 x 2 x π = 16π
change in lateral area = 400π / 16π = 25
If dimensions are reduced by 1/5, lateral area would reduce by 25
100 pi / 25 = 4
I believe the answer is 4k + 11
