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yawa3891 [41]
3 years ago
10

6) The height of any child in Mr. Diaz's kindergarten class is no greater than 46 inches.

Mathematics
1 answer:
kakasveta [241]3 years ago
6 0

Answer:

full arrow going left from 46

Step-by-step explanation:

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Click the picture that I sent you
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<u>Step-by-step explanation:</u>

The equation for exponential growth is: P=P_oe^{kt}

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Use the half life information to find k:

\dfrac{1}{2}P_o=P_oe^{k(800)}\\\\\\\dfrac{1}{2}=e^{800k}\qquad \rightarrow \qquad \text{divided both sides by}\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=800k\qquad \rightarrow \qquad \text{applied ln to both sides}\\\\\\\dfrac{ln(\frac{1}{2})}{800}=k\qquad \rightarrow \qquad \text{divided both sides by 800}\\\\\\\large\boxed{-0.000867=k}

Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.

.35P_o=P_oe^{-0.000867t}\\\\\\.35=e^{-0.000867t}\\\\\\ln(.35)=-0.000867t\\\\\\\dfrac{ln(.35)}{-0.000867}=t\\\\\\\large\boxed{1211.6585=t}

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Step-by-step explanation:

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Step-by-step explanation:

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