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Mathematics

1 answer:

KengaRu [80]3 years ago

5 0

Answer:

Coldest has - 2° C while warmest had 2 °C

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A culture started with 4000 bacteria after 8 hours it grew to 4400 bacteria. Predict how many bacteria will be present after 9 h

Leno4ka [110]

$\bf \qquad \textit{Amount for Exponential change}\\\\
A=P(1\pm r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{starting amount}\\
r=rate\to r\%\to \frac{r}{100}\\
t=\textit{elapsed period}\\
\end{cases}\\\\
-------------------------------\\\\$

$\bf A=P(1+r)^t\qquad 
\begin{cases}
\textit{hour 0, starting point}\\
t=0\qquad A=4000
\end{cases}\implies 182=ae^{k0}
\\\\\\
4000=P(1+r)^0\implies 4000=P
\\\\\\
thus\qquad A=4000(1+r)^t\\\\
-------------------------------\\\\$

$\bf A=P(1+r)^t\qquad 
\begin{cases}
\textit{8 hours later}\\
t=8\qquad A=4400
\end{cases}\implies 4400=4000(1+r)^8
\\\\\\
\cfrac{4400}{4000}=(1+r)^8\implies \cfrac{11}{10}=(1+r)^8\implies \sqrt[8]{\cfrac{11}{10}}=1+r
\\\\\\
\sqrt[8]{\cfrac{11}{10}}-1=r\implies 0.012\approx r\qquad thus\qquad \boxed{A=4000(1+0.012)^t}$

how many bacteria after 9 hours? well, 9hours later is just t = 9, plug that in, to get A

4 0

3 years ago

Read 2 more answers

Jonah had 3/4 cup of water in his cup. He drank 1/2 cup of water. How

Lostsunrise [7]

Answer:

1/4th Cup left

Step-by-step explanation:

1/2 cup is equal to 2/4 cup, so subtract that from 3/4th and you end with 1/4th

5 0

3 years ago

Can someone pretty please help meeee! WILL GIVE BRAINLIEST!