/sci/ - Science & Math

>>12090400
Another way to write it is 208(2^(-t/5))
and I don't quite get how (1/2)^(t/5) becomes (2^(-t/5))

>>12090400
because exponent increases by 1 every 5 days and exponent is just how many times you multiply same number together
>>12090405
[eqn]a^{-n}=\frac{1}{a^n}[/eqn]lol, go back to highschool

>>12090423
>go back to highschool
It's a calculus class in college, dickhead.

>>12090485
https://study.com/academy/topic/6th-8th-grade-math-exponents-exponential-expressions.html

How did you get past this?

>>12090400
t/5 is just the number of half lives that have passed
1/2 ^ (number of half lives) is the proportion left

>>12090493
>6th grade
>fractional exponents already
I never heard of anyone taking calculus 3 by the time they graduate high school.

>>12090485
AAAAAAAAAAAAAAAAAAAAAAAAHAHAHAHAHA

>>12090535
Why the fuck are they going over this in calc 3? In my calc 3 class we're already moving on to conics.

>>12090400
[math] \displaystyle

\\ \text{Continuous compounding}
\\ \displaystyle P(t)=P_{0} \, e^{rt}
\\ \text{ } P_0 \; \, \text{initial value}
\\ \text{ } r \quad \text{rate of growth}
\\ \text{ } t \quad \text{time}
\\ ~~~~----- \\
P(t_2) = 2P_0 \Rightarrow 2P_0 = P_{0} \, e^{rt_2} \\
2 = e^{rt_2} \\
e^{ln(2)} = e^{rt_2} \\
ln(2) = rt_2 \\
t_2 = \frac{ln(2)}{r} \approx \frac{70\%}{100r\%} \\
\\
P(t_{10}) = 10P_0 \Rightarrow 10P_0 = P_{0} \, e^{rt_{10}} \\
10 = e^{rt_{10}} \\
e^{ln(10)} = e^{rt_{10}} \\
ln(10) = rt_{10} \\
t_{10} = \frac{ln(10)}{r} \approx \frac{230\%}{100r\%}

[/math]

https://www.google.com/search?q=y%3D50*e%5E(0.07*x)

>>12090726
>posting a meme of me in middle school
kill yourself
You would never go into a college calculus class and openly belittle people.

>>12090930
I'm not in 3. But the timeline of someone learning fractional exponents suggests that they will have completed calculus 3 by the time they leave high school.

>>12090485
>obviously no limits, derivatives, integrals, etc.
>calculus is a freshman high school class
Are you seriously telling me it too you about 18 or more years to learn "pre-calculus"
holy shit Americans are retards.
but they're rich fat retards and give me money so I love them. American capitalism is the best.

>>12092817
>calculus is a freshman high school class
I have never heard of a high school freshman taking calculus.