Ocean sunfishes are well-known for rapidly gaining a lot of weight on a diet based on jellyfish.
The relationship between the elapsed time, t, in days, since an ocean sunfish is born, and its mass, M(t), in milligrams, is modeled by the following function:
M(t)=3*(81/49)^t

The mass of the sunfish increases by a factor of 9/7 every days.

Half (1/2)

Step-by-step explanation:

The relation between the Mass, M(t), of the ocean sunfish and time t, in days, since it is born is given as:

This expression shows that the mass of sunfish increases by a factor of after each day. For example one day 1, the mass of sunfish would be:

And on day 2:

We can re-write the given equation as:

The exponent has changed from t to 2t. The term "2t" means 2 times in a unit time t. So this means, the mass of sunfish increases by a factor of 9/7 every 1/2(half) day.

On Day 1, the mass would be:

After 1.5 day, the mass would be:

This example shows that the mass of sunfish increases by a factor of 9/7 after every half of the day.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.