A culture of yeast grows at a rate proportional to its size. If the initial population is 9000 cells and it doubles after 2 hours, answer the following questions.1. Write an expression for the number of yeast cells after t hours.Answer: P(t) =2. Find the number of yeast cells after 10 hours.Answer:3. Find the rate at which the population of yeast cells is increasing at 10 hours.Answer (in cells per hour):

Introduction: When population grows at an exponential rate the general form of the exponential…

Answered: A culture of yeast grows at a rate…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Sounds are produced when vibrating objects create pressure waves in some medium such as air. When these variations in pressure reach the human eardrum, it causes the eardrum to vibrate in a similar manner and the ear detects sound. The intensity of sound is measured as power per unit area. The threshold for hearing (minimum sound detectable by a young, healthy ear) is defined to be I = 10-12 W/m² (watts per square meter). The sound level L, or "loudness" of sound, is measured in decibels (dB) as L = 10 log (1). wh where I is the intensity of the given sound. Round to the nearest integer, if necessary.
For a nonsmoker, the biological half-life of theophylline is 8 hours. Find the amount of the drug retained in a nonsmoker's system 14 hours after taking a one-unit dose. (Round your answer to three decimal places.) units
þne statement of Boyle's law is that the pressure of a gas varies inversely as the volume for constant temperature. If a certain gas occupies 670 cm when the pressure is 260 kPa and the volume is increasing at the rate of 20.0 cm /min, how fast is the pressure changing when the volume is 800 cm? .... Boyle's law indicates that the pressure of a gas, P, varies inversely as the volume, V, for constant temperature, C. Write an equation for P with respect to V and C. P= V when the volume is 800 cm The pressure is changing at a rate of (Type an integer or decimal rounded to one decimal place as needed.)
The amount of the radioactive element Pragelium present in a sample can be calculated using a modelof the form A = A0ekt. The half-life of Pragelium is 13 years. Determine the value of k, rounding youranswer to four decimal places.
Carmen works in a laboratory that uses radioactive substances. The laboratory received a shipment of 300 g of radioactive radon, and 16 days later, 12.5 g of the radon remained. What is the half-life of radon?
● The half life of uranium is 80 hrs.Initially,a sample has 200g. How much of it left at 60hours?
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Company E's well has a pumpjack with a 2 1/4-inch pump rod and is running an 86-inch stroke. If the jack pumps 2562 barrels of oil over a one-week period (7 days), at what speed (in strokes per minute) is it operating. Choose the closest answer. a. 9 SPM b. 12 SPM c. 15 SPM d. 18 SPM
val quir 3. A seventy-liter tank initially is half full of water. A solution containing 20 g/L of salt flows into the tank at the rate of 4 L/min, and a well-stirred mixture flows out at the rate of 2 L/min. How much salt is in the tank just before the solution overflows?
Suppose the total income in dollars from a machine is given by the following. I= 10e0.5t, 0sts 6, tin hours Find the average income (in dollars) over this 6-hour period. (Round your answer to the nearest cent.) $
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