The table shows the predicted growth of bacteria after various numbers of hours. write an explicit formula for the number of bacteria after n hours.

The answer would be the second one, a_n=21n+8

Step-by-step explanation:

If you plot all the points on a graph, you can then check the answers given.

Step-by-step explanation:

First we determine what type of sequence is represented in this table.

To get from the first term to the second term, 29 to 50, we add 21.

To get from the second term, 50, to the third term, 71, we add 21.

To get from the third term, 71, to the fourth term, 92, we add 21.

To get from the fourth term, 92, to the fifth term, 113, we add 21.

Since we add a constant to find the next term each time, this is an arithmetic sequence.  The explicit formula for an arithmetic sequence is

, where a₁ is the first term and d is the common difference.  For this sequence, it is

To simplify this, first use the distributive property:

Combine like terms:

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk