10.In an experiment , the approximate population P of a bacteria colony is given by P = 15t ^ (5/3) , where t is the number of days start of the experiment . Find the population of the colony on the 8th day .

Answer:

Step-by-step explanation:

15×8^(5/3) = 15×∛8^5 = 15×2^5 = 15×32 = 480

Population after 8 days is 480

Population after 8 days is 480.

The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.

here, we have,

given that,

the approximate population P of a bacteria colony is given by

P = 15t ^ (5/3)

where t is the number of days start of the experiment .

now,

the population of the colony on the 8th day is,

15×8^(5/3)

= 15×∛8^5 ]

= 15×2^5

= 15×32

= 480

hence, Population after 8 days is 480.

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