ZILLDIFFEQMODAP11 3.1.004. The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours it is observed that 600 bacteria are present. After 10 hours 4000 bacteria are present. What was the initial number of bacteria? (Round your answer to the nearest integer) bacteria Need Help? Read [-/10 Points) DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE

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Chapter6: Vector Spaces
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Please answer 7 to 9 thank youu. need help

7. [-/10 Points] DETAILS
The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours it is observed that 600 bacteria are present. After 10 hours 4000 bacteria are present. What was the initial number of bacteria? (Round your answer to the nearest integer.)
bacteria
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ZILLDIFFEQMODAP11 3.1.004.
8. [-/10 Points] DETAILS
When a vertical beam of light passes through a transparent medium, the rate at which its intensity I decreases is proportional to I(t), where t represents the thickness of the medium (in feet). In clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity Io of the incident beam. What is the intensity of
the beam 10 feet below the surface? (Give your answer in terms of Io. Round any constants or coefficients to five decimal places.)
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ZILLDIFFEQMODAP11 3.1.009.
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MY NOTES
ZILLDIFFEQMODAP11 3.1.016.
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MY NOTES
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9. [-/10 Points] DETAILS
Two large containers and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0° C and 100° C, respectively. A small metal bar, whose initial temperature is 100° C, is lowered into container A. After 1 minute the temperature of the bar is 90° C. After 2 minutes (since being
lowered into container A) the bar is removed and instantly transferred into the other container. After 1 minute in container B the temperature of the bar rises 10°. How long, measured from the start of the entire process, will it take the bar to reach 99.5° C? (Round your answer to two decimal places. Assume the final
temperature being asked for is reached while the bar is container B.)
t =
min
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
ASK YOUR TEACHER
PRACTICE ANOTHER
PRACTICE ANOTHER
Transcribed Image Text:7. [-/10 Points] DETAILS The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours it is observed that 600 bacteria are present. After 10 hours 4000 bacteria are present. What was the initial number of bacteria? (Round your answer to the nearest integer.) bacteria Need Help? Need Help? Read It Need Help? Read It ZILLDIFFEQMODAP11 3.1.004. 8. [-/10 Points] DETAILS When a vertical beam of light passes through a transparent medium, the rate at which its intensity I decreases is proportional to I(t), where t represents the thickness of the medium (in feet). In clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity Io of the incident beam. What is the intensity of the beam 10 feet below the surface? (Give your answer in terms of Io. Round any constants or coefficients to five decimal places.) Read It ZILLDIFFEQMODAP11 3.1.009. Watch It MY NOTES ZILLDIFFEQMODAP11 3.1.016. Watch It MY NOTES ASK YOUR TEACHER 9. [-/10 Points] DETAILS Two large containers and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0° C and 100° C, respectively. A small metal bar, whose initial temperature is 100° C, is lowered into container A. After 1 minute the temperature of the bar is 90° C. After 2 minutes (since being lowered into container A) the bar is removed and instantly transferred into the other container. After 1 minute in container B the temperature of the bar rises 10°. How long, measured from the start of the entire process, will it take the bar to reach 99.5° C? (Round your answer to two decimal places. Assume the final temperature being asked for is reached while the bar is container B.) t = min MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER ASK YOUR TEACHER PRACTICE ANOTHER PRACTICE ANOTHER
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