To be divisible by 63, it must be divisible by both 7 and 9, since 7x9 = 63. Factor the expression, simplify, and see if both 7 and 9 are factors, which would make it divisible by both 7 and 9. (163 - 83)(43 + 23) = [(24)3 - (23)3] [(22)3 + 23] = (212 - 29)(26 + 23) = [29(23 - 1)] [23(23 + 1)] = [29(8 - 1)] [23(8 + 1)] = 29(7) 23 (9) = 63(212) It is a multiple of 63, and hence divisible by 63.
Answer:
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.
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