I would like to know the these answer of the questions.

6. [-/1 Points] DETAILS OSCALC1 6.7.341. Find the arc length of y = _ from x = 1 to x = 4. (Round your answer to four decimal places.) X7. [14 Points] DETAILS OSCALC1 6.8.352357A.WA.TUT. 100 bacteria cells are placed in a culture that exhibits exponential growth. After one hour, the population is 230. (a) What is a formula for the size of the population after t hours? (b) What is the size of the population after 4 hours? (Round your answer to the nearest whole number.) P(4) z :] bacteria (c) How fast is the population growing after 4 hours? (Round your answer to the nearest whole number.) P'(4) :5 :] bacteria per hour (cl) At what time will the population grow to 10,000? (Round your answer to one decimal place.) 8. [-12 Points] DETAILS OSCALC1 6.8.352357B.WA.TUT. MY NOTES | PRACTICE A After one year, a sample of radioactive material disintegrates to 90% of the original amount. For each part, round the answer to two decimal places. (a) Find the half-life of the material. yr (b) Find the time at which the material disintegrates to 80% of the original amount. yr 9. [I1 Points] DETAILS OSCALC1 6.8.352369C.WA.TUT. MY NOTES | PRACTICE ANOTHE The number of bacteria in a certain culture grows exponentially at a rate of 1% per hour. Assuming that 20,000 bacteria are present initially, find the time required for the bacteria population to reach 55,000. (Round your answer to the nearest hour.) hours How old (in years) is a skull that contains one-third as much radiocarbon as a modern skull? Note that the half-life of radiocarbon is 5,730 years. Use y = yoekt. (Round your answer to the nearest integer.) yr 11. [-I1 Points] DETAILS OSCALC1 6.8.362-365.WA.TUT. MY NOTES | PRACTICE ANOTHER How much must one invest today in order to receive $20,000 after 7 years if interest is compounded continuously at the rate r = 9%? (Round your answer to two decimal places.) $ @ Tutorial