Population dynamics : suppose a population of fish contains a females that are 1 year old, b females between 2 and 4 years old, and c females more than 4 years old. during the summer each one-year-old females produces 15 offspring, each female between 2 and 4 years prodoucs 35 off-spring and each female more than 4 years old produces 20 offspring. if a=[a, b,c] and p=[15,35,20], what is the meaing of the dot product a. p?

The new population of fishes

Step-by-step explanation:

The dot product of a and p  means the multiplication of the two sets giving the total fishes. The group a represents the number of  female fishes, for example a=[6,7,8] . p=[15,35,20]

a represents the number of fishes in the age group 6 is the number 1 year old female fishes, 7 is the number 2 to 4 year old fishes and 8 is the number of 4 year old fishes.

p represents the number of off spring a single fish produces. 1 year old female fish produces 15 off springs in the summer, 2 to 4 year old female fish produces 35 off springs and above 4 year old fish produces 20 off springs.

If we multiply the two sets and add the product we will get the total number of fishes in the summer.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

found it xd it ok yt