Calculations Shown

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A certain culture of the bacterium Streptococcus A initially has 10 bacteria and is observed to double every 1.5 hours.
(a) Find an exponential model
(b) Estimate the number of bacteria after 34 hours. (Round your answer to the nearest whole number.)
(c) After how many hours will the bacteria count reach 10,000? (Round your answer to one decimal place.)

The fox population in a certain region has a relative growth rate of 8% per year. It is estimated that the population in 2013 was 16,000.
(a) Find a function
(b) Use the function from part (a) to estimate the fox population in the year 2019. (Round your answer to the nearest whole number.)
(c) After how many years will the fox population reach 24,000? (Round your answer to one decimal place.)

The population of a country has a relative growth rate of 2% per year. The government is trying to reduce the growth rate to 1%. The population in 2011 was approximately 120 million. Find the projected population for the year 2040 for the following conditions. (Round your answers to the nearest whole number.)
(a) The relative growth rate remains at 2% per year.
(b) The relative growth rate is reduced to 1% per year.

The count in a culture of bacteria was 200 after 2 hours and 12,800 after 6 hours.
(a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage. (Round your answer to the nearest whole number.)
(b) What was the initial size of the culture? (Round your answer to the nearest whole number.)
(c) Find a function that models the number of bacteria n(t) after t hours. (Enter your answer in the form
n0e^rt.
Round your n0 value to the nearest whole number. Round your r value to two decimal places.)
n(t) = _______
(d) Find the number of bacteria after 4.5 hours. (Round your answer to the nearest hundred.)
e) After how many hours will the number of bacteria reach 25,000? (Round your answer to two decimal places.)

The half-life of radium-226 is 1600 years. Suppose we have a 24-mg sample.
(a) Find a function
m(t) = m02^−t/h
that models the mass remaining after t years.
m(t) = ____________
(b) Find a function
(c) How much of the sample will remain after 3500 years? (Round your answer to one decimal place.)

(d) After how many years will only 17 mg of the sample remain? (Round your answer to one decimal place.)

 

 

 
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Maths Question

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  1. Nitrates are groundwater contaminants derived from fertilizer, septic tank seepage and other sewage, nitrate poisoning is particularly hazardous to infants under the age of 6 months. The Maximum Contaminant Level (MCL) is the highest level of a contaminant the government allows in drinking water. For nitrates, the MCL is 10 mg/L. The health department wants to know what proportion of wells in Madison County that have nitrate levels above the LCL. A worker has been assigned to take a simple random sample of wells in the county, measure the nitrate levels, and assess compliance. What size sample should the health department obtain if the estimate is desired to be within 2 percent with 95% confidence if :

A. There is no prior information available?

B. A study conducted two years ago showed that approximately 7% of the wells in Madison County had nitrate levels exceeding the MCL?

 
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Testing A Hypothesis

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Develop a hypothesis to test the following claim from a hypothetical company:

***Our product “EasyFit”, when taken together with a healthy diet, will help you lose weight.***

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Follow the follwing instructions please:

1. Design an experiment which would test the hypothesis developed above about “Easy Fit”. Explain in detail how the experiment would be conducted.  Be sure and identify and explain the following:

what is the independent variable

what is the dependent variable

what are the controlled variables for this experiment

what is the control group, what are the experimental groups.

2. State what would be the experimental results, in detail, which would support the hypothesis.  Explain why these results would support the hypothesis.

3. State what would be the experimental results, in detail, which would refute the hypothesis.  Explain why these results would refute the hypothesis.

4. Describe another product claim that could be tested by similar a similar hypothesis and experiment.

 
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Nutriton Discussion Board

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For Biology Nutrition… Needs to be lengthy but more like a big paragraph for each question!

 

1. What are some unique challenges we face in the realm of nutritional health for children? Address specific challenges we face today. (development of poor eating habits, processed foods, etc..)

2. What are some unique challenges we face in the realm of nutritional health for pregnant/lactating women? How do we encourage good nutritional behavior by pregnant/lactating women without violating individual liberties?

3. How can global issues hinder the nutritional needs of some populations? Give examples.  How do we combat these issues?

4. As we approach the end of this class you will start to see some data on the disturbing trends in the United States on the obesity epidemic and its effects on our health as a society.  The past several years of the healthcare debate have created much controversy. Many people look at healthcare as something that should be paid for by tax dollars, as we all benefit from a healthy society, just as we all benefit from roads and bridges.

5.Many people also feel personal health is one’s personal responsibility as the bulk of healthcare costs are due to personal choices and are to be bore by the individual, just as if they had chose to drink or do drugs.

6.How do we grapple with the healthcare issue? What do you think?  Support your sentiments with logic and facts and not emotion.  Saying that you think its a good thing for everyone to have healthcare isn’t disputed. I think most people would say that’s a good thing! However, who would pay for that?  And why? Where do the roles of individuals and taxpayers meet?

 
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