What is the temperature of the drink after thirty minutes

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Reference no: EM131008101

1. When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C room its temperature has increased to 10°C. (Round your answers to two decimal places.)

(a) What is the temperature of the drink after 30 minutes?

(b) When will its temperature be -1°C?

2. The half-life of cesium-137 is 30 years. Suppose we have a 60-mg sample.

(a) Find the mass that remains after t years.

(b) How much of the sample remains after 110 years? (Round your answer to two decimal places.)

(c) After how long will only 1 mg remain? (Round your answer to one decimal place.)

3. A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 260.

(a) Find an expression for the number of bacteria after t hours.

(b) Find the number of bacteria after 4 hours. (Round your answer to the nearest whole number.)

(c) Find the rate of growth after 4 hours. (Round your answer to the nearest whole number.)

(d) When will the population reach 10,000? (Round your answer to one decimal place.)

Reference no: EM131008101

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