Question

Correct experiment is given by the polynomial function p(t)=0.09t^(4)+0.5t³+4t², where p is the number of protozoa after 6 hours. Round your answer to the nearest whole number.

Answer 1

To find the number of protozoa after 6 hours, substitute t with 6 in the polynomial p(t) and calculate the value, which is approximately 369 when rounded to the nearest whole number.

Step-by-step explanation:

The question asks to find the number of protozoa after 6 hours using the polynomial function p(t) = 0.09t^4 + 0.5t^3 + 4t^2. We need to substitute t with 6 and calculate the value of p(6) to find the number of protozoa at that time.

Step-by-step, this is how we calculate it:

1. Substitute t with 6 in the polynomial function: p(6) = 0.09(6)^4 + 0.5(6)^3 + 4(6)^2.
2. Calculate the powers: p(6) = 0.09(1296) + 0.5(216) + 4(36).
3. Multiply the coefficients by the respective powers: p(6) = 116.64 + 108 + 144.
4. Add the results: p(6) = 368.64.
5. Round to the nearest whole number: The number of protozoa after 6 hours is approximately 369.