To calculate the remaining caffeine, we use the radioactive decay formula which is expressed as An = Aoe^-kt where An is the amount left after t time, Ao is the initial amount and k is a constant we can calculate from the half-life information. We do as follows:
at half-life,
ln 1/2 = -k(6)
k = 0.12/hr
An = 80e^-0.12(14)
An = 15.87 mg
P( both allergic) = 0.17*0.17 = 0.0289
P(at least one is allergic) = 1 - P(neither are allergic) = 1 - 0.83^2 = 0.311
Answer:
you would have gotten 36 questions correct :)
Write the highlighted digit's place and value.
3. 567; ones place 4. 6,327; thousandth place
5. 9,325; hundredth place 6. 8,281; tenth place
Write each number in standard form.
7. 5,000 + 500 + 3; 5,503 8. 2,000 + 300 + 20 + 9; 2,329
9. 4,000 + 600 + 8; 4,608 9. 9,000 + 300 + 70 + 2; 9,372
11. 1,221
We know Sierra has the same numbers in the thousandth and ones place, so keep does numbers: 1,?2?
It also has two more hundreds and 3 fewer ones place: Take the original number; 1,024 (Make sure you keep the numbers) into a equation; (1024+200)-3. First Add as it's in the ( ), then subtract, 1,221
I hope I've helped!
Answer:
f(-2) = 1/9
Step-by-step explanation:
Plug in -2 to x in the equation:
f(x) = 3^x
f(-2) = 3^(-2)
Solve. Note that if there is a negative in the power, you must flip the "fraction" and set it over 1. The answer itself does not become negative:
f(-2) = 1/(3^2)
f(-2) = 1/(9)
f(-2) = 1/9 is your answer.
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