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Using an exponential function, it is found that:
a)
b) 37.5 grams of the gas remains after 3.8 days.
c) The amount remaining will be of 10 grams after approximately 11 days.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Item a:
We start with 75 grams, and then work with a half-life of 3.8 days, hence the amount after t daus is given by:
Item b:
This is N when t = 3.8, hence:
37.5 grams of the gas remains after 3.8 days.
Item c:
This is t for which N(t) = 10, hence:
The amount remaining will be of 10 grams after approximately 11 days.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
k ≈ -0.06729
Step-by-step explanation:
The initial temperature difference is 85 -36 = 49 degrees. After 5 minutes, the temperature difference is 71 -36 = 35 degrees. The constant k is the natural log of the ratio of these temperature differences, divided by the time unit.
k = ln(35/49)/5 ≈ -0.06729
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The equation for the temperature T of the can in the refrigerator is ...
T = 49e^(-0.06729t) +36
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<em>Additional comment</em>
Be careful with the sign. If you're filling in k in e^(-kt), then the sign of k will be positive. Above, we have taken the form of the exponential term to be e^(kt), so k is negative.
Answer:
6
Step-by-step explanation: 6 9 0
Answer:
65°
Step-by-step explanation:
∠1=115°
∠2=65°
∠3=65°
∠4=115°
∠5=115°
∠6=65°
∠7=115°
∠8=65°
We get this because Line m and l are parallel. Also ∠1+∠2=180° so if ∠1 is 115°, then ∠2 is 180°-115° or 65°.