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Lorico [155]
3 years ago
9

Need some help here

Mathematics
1 answer:
Natalija [7]3 years ago
5 0

Answer:

bottom right

Step-by-step explanation:

it goes down consitantly by 2

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Leaves were falling off a tree at an exponential rate beginning Oct.1, on the 10th there were 5287 leaves. On the 21st there wer
Nuetrik [128]

lemme use a slightly different equation, just the variables differ, but is basically the same you have there.

A)

\bf \textit{Amount of Population Growth, \boxed{\textit{10th day}}} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&5287\\ P=\textit{initial amount}\dotfill &P\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\dotfill &10\\ \end{cases} \\\\\\ A=5287e^{10r} \\\\[-0.35em] ~\dotfill

\bf \textit{Amount of Population Growth, \boxed{\textit{21st day}}} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&692\\ P=\textit{initial amount}\dotfill &P\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\dotfill &21\\ \end{cases} \\\\\\ 692=Pe^{21r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} 5287=Pe^{10r}\\ 692=Pe^{21r} \end{cases}

\bf \cfrac{5287}{e^{10r}}=P\qquad therefore\qquad \stackrel{\textit{doing some substitution}}{692=Pe^{21r}\implies 692=\left( \cfrac{5287}{e^{10r}} \right) e^{21r}} \\\\\\ \cfrac{692}{5287}=\cfrac{e^{21r}}{e^{10r}}\implies \cfrac{692}{5287}=e^{21r}e^{-10r}\implies \cfrac{692}{5287}=e^{11r}

\bf ln\left( \cfrac{692}{5287}\right)=ln\left( e^{11r} \right)\implies ln\left( \cfrac{692}{5287}\right)=11r\implies \cfrac{ln\left( \frac{692}{5287}\right)}{11}=r \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill -0.18486\approx r~\hfill

B)

\bf 5287=Pe^{10r}\implies 5287=Pe^{10(-0.18486)}\implies 5287=Pe^{-18.486} \\\\\\ \cfrac{5287}{e^{-18.486}}=P\implies 6360.53\approx P

and we can round that up to a whole leaf of 6361, or truncate it to 6360, chances are is the latter.

C)

\bf \stackrel{\textit{only 1 leaf}}{1}=(6360.53)e^{-0.18486t}\implies \cfrac{1}{6360.53}=e^{-0.18486t}\ \\\\\\ ln\left( \cfrac{1}{6360.53} \right)=ln\left( e^{-0.18486t} \right)\implies ln\left( \cfrac{1}{6360.53} \right)=-0.18486t \\\\\\ \cfrac{ln\left( \frac{1}{6360.53} \right)}{-0.18486}=t\implies 47.38\approx t

and we can round that up to 47 days even.

5 0
3 years ago
Given the set of data below, which measure(s) will change if the outlier is removed? (Check all that
9966 [12]

Answer:

The mean will change. The range will change.

Step-by-step explanation:

The outlier is 4, it's the one number in the data that isn't close to the other numbers.

The data without the outlier will be 7, 9, 9, 10.

Mode: The mode will still be 9. It is still the number that appears the most in the data.

Median: The median WON'T change. The data is now one value shorter, but the median will still be 9. Before it was 9, and now it's still 9 ((9+9)/2).

Mean: The mean will change because we're excluding one value. Before, the mean was 7.8 (4+7+9+9+10=39, 39/5 = 7.8). NOW it is 8.75 (7+9+9+10=35, 35 / 4 = 8.75).

Range: The range will change. Before it was 10-4, now it is 10-7. The range was originally 6 and now it's 3.

5 0
3 years ago
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Bill was looking at 13 different colors to paint his bedroom he liked about 2/3 of the colors. about how many colors did he like
Jet001 [13]
He liked about 8-9 colors because all you have to do is subtract 33% which equals 8.71
8 0
3 years ago
0 What is A U B?<br> Set A = 1, 2, 3, 4<br> Set B = 2, 3, 6, 10, 11
Oxana [17]

Answer:

A U B= 1,2,3,4,6,10,11

Step-by-step explanation:

because A union B is all number from set A and set B together without repeating

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=solve%20for%20%22m%22%20t%3D%5Cfrac%7Bms%7D%7Bm%2Bn%7D" id="TexFormula1" title="solve for &quo
dalvyx [7]

Answer:

\boxed{\sf \ \ \ m = -\dfrac{tn}{t-s} \ \ \ }

Step-by-step explanation:

Hello,

let s assume that m+n is different from 0

we have this equation and we need to find m as a function of t, s, and n

t=\dfrac{ms}{m+n}

<=>

(m+n)*t=ms\\\\ tm+tn=sm\\ (t-s)m = -tn\\ m = -\dfrac{tn}{t-s}

for t-s different from 0, so t different from s

hope this helps

4 0
3 years ago
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