14. Radioactive Radium The half-life of radium-226 is 1600 years. Suppose we have a 22-mg sample. (a) Find a function that models the mass remaining after t years. Exbicza (b) How much of the sample will remain after 4000 years! (c) After how long will only 18 mg of the sample remain!
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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hour. When a certain critical number of bacteria are present
Look up
California's
actual population in 2000, and compare.
13. Infectious Bacteria An infectious strain of bacteri.
increases in number at a relative growth rate of 200%
per
in the bloodstream, a person becomes ill. If a single
bacterium infects a person, the critical level is reached in
24 hours. How long will it take for the critical level to be
reached if the same person is infected with 10 bacteria?
14-22 - These exercises use the radioactive decay model.
14. Radioactive Radium The half-life of radium-226 is 1600
years. Suppose we have a 22-mg sample. a
(a) Find a function that models the mass remaining after
t years.
(b) How much of the sample will remain after 4000 years?
(c) After how long will only 18 mg of the sample remain!
15. Radioactive Cesium The half-life of cesium-137 is
30 years. Suppose we have a 10-g sample.lugot da
(a) Find a function that models the mass remaining atfter
t years.
(b) How much of the sample will remain after 80 years.
(c) After how long will only 2 g of the sample remain?
g aftert
16. Radioactive Thorium The mass m(t)
days from a 40-g sample of thorium-23
-0.027
m(t)
40e
Hou muoh of the sample will re
ays?
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