Express tan as a fraction in simplest terms. V85 W 29 V. Answer: tan V Submit Answer

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.7: Solve Proportion And Similar Figure Applications
Problem 8.160TI: A pine tree casts a shadow of 80 feet next to a 30-foot tall building which casts a 40 feet shadow....
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Identifying Trig Ratios (Diagram), Level 2
Oct 27, 8:06:08 PM
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Express tan V as a fraction in simplest terms.
V85
W
29
V
Answer: tan V
Submit Answer
Transcribed Image Text:Identifying Trig Ratios (Diagram), Level 2 Oct 27, 8:06:08 PM Watch help video Express tan V as a fraction in simplest terms. V85 W 29 V Answer: tan V Submit Answer
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The count in a bacteria culture was 100 after 20 minutes and 1100 after 30 minutes. Assuming the count
grows exponentially,
What was the initial size of the culture?
Find the doubling period.
Find the population after 115 minutes.
When will the population reach 11000.
Transcribed Image Text:The count in a bacteria culture was 100 after 20 minutes and 1100 after 30 minutes. Assuming the count grows exponentially, What was the initial size of the culture? Find the doubling period. Find the population after 115 minutes. When will the population reach 11000.
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Follow-up Question

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Blood is a buffer solution. When carbon dioxide is absorbed into the bloodstream, it produces carbonic acid
and lowers the pH. The body compensates by producing bicarbonate, a weak base to partially neutralize
the acid. The equation which models blood pH in this situation is
800
pН(«) — 6.1 + log
where x is the partial pressure of carbon dioxide in arterial blood, measured in torr. Find the partial
pressure of carbon dioxide in arterial blood if the pH is 7.1.
Transcribed Image Text:Blood is a buffer solution. When carbon dioxide is absorbed into the bloodstream, it produces carbonic acid and lowers the pH. The body compensates by producing bicarbonate, a weak base to partially neutralize the acid. The equation which models blood pH in this situation is 800 pН(«) — 6.1 + log where x is the partial pressure of carbon dioxide in arterial blood, measured in torr. Find the partial pressure of carbon dioxide in arterial blood if the pH is 7.1.
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Follow-up Question

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Find the time required for an investment of $ 5000 to grow to $ 8700 at an interest rate of 7.5 percent per
year, compounded quarterly. Round to 2 decimal places.
t :
years.
Transcribed Image Text:Find the time required for an investment of $ 5000 to grow to $ 8700 at an interest rate of 7.5 percent per year, compounded quarterly. Round to 2 decimal places. t : years.
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The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced to a
mass of 5 mg.
What was the initial mass (in mg) of the sample?
What is the mass 6 weeks after the start? Round your answer to 8 decimal places.
Transcribed Image Text:The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced to a mass of 5 mg. What was the initial mass (in mg) of the sample? What is the mass 6 weeks after the start? Round your answer to 8 decimal places.
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Follow-up Question

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A bacteria culture initially contains 2000 bacteria and doubles every half hour. The formula for the
population is p(t)
2000e*t for some constant k. (You will need to find k to answer the following.)
||
Find the size of the baterial population after 80 minutes.
Find the size of the baterial population after 7 hours.
Transcribed Image Text:A bacteria culture initially contains 2000 bacteria and doubles every half hour. The formula for the population is p(t) 2000e*t for some constant k. (You will need to find k to answer the following.) || Find the size of the baterial population after 80 minutes. Find the size of the baterial population after 7 hours.
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Follow-up Question

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The half-life of strontium-90 is 28 years. How long will it take a 44 mg sample to decay to a mass of 11 mg?
Your answer is
years.
Transcribed Image Text:The half-life of strontium-90 is 28 years. How long will it take a 44 mg sample to decay to a mass of 11 mg? Your answer is years.
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Some medicines can wear off in the body exponentially. In this case, assume the rate decays hourly for a
starting amount of 300 mg of medication according to the equation:
M = 300(0.87)
Solve this equation to determine the number of hours, t, that it will take for the initial 300 mg of medicine
to decrease to 30 mg.
Answer: It will take about
hours. (Round to TWO decimal places.)
Transcribed Image Text:Some medicines can wear off in the body exponentially. In this case, assume the rate decays hourly for a starting amount of 300 mg of medication according to the equation: M = 300(0.87) Solve this equation to determine the number of hours, t, that it will take for the initial 300 mg of medicine to decrease to 30 mg. Answer: It will take about hours. (Round to TWO decimal places.)
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