Find a point-slope form for the line with slope 1/5 and passing through the point (-7,-6).
1 answer:
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Solution:
The first car can travel 75 miles on 5 gallons of gas.
So per mile gas consumed by car gallon
The second car can travel 240 miles on 20 gallons of gas.
So per mile gas consumed by car gallon
It mean Sam should rent the First car.
Sam is renting one of two cars to go on a 300-mile trip.
So total number of gallons of gas required
Total cost of 20 gallons of gas dollar
Answer:
The bones were 12,485 years old at the time they were discovered.
Step-by-step explanation:
Amount of the element:
The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:
In which A(0) is the initial amount and k is the decay rate, as a decimal.
The radioactive element carbon-14 has a half-life of 5750 years.
This means that , and we use this to find k. So
So
A scientist determined that the bones from a mastodon had lost 77.8 % of their carbon-14. How old were the bones at the time they were discovered?
Had 100 - 77.8 = 22.2% remaining, so this is t for which:
Then
The bones were 12,485 years old at the time they were discovered.