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Papessa [141]
3 years ago
7

Can someone PLEASE HELP ME

Mathematics
1 answer:
nordsb [41]3 years ago
3 0

Answer:

Part A: 12c sq. m

Part B: 6 sq. m

Step-by-step explanation:

Area of a rectangle = l X b sq. units

Part A:

Given Length , l = 6c units.

And    Breadth, b = 2 units.

Hence, the area = 6c X 2 sq. units

Area, A = 12c sq. units

Part B:

When c = $ \frac{\textbf{1}}{\textbf{2}} $

From Part A, we have Area, A = 12c sq.units

When c = $ \frac{1}{2} $, area = $ 12 \bigg ( \frac{1}{2} \bigg ) $ sq. units.

Therefore, Area = 6 sq. units.

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Answer: 1211.6585 years

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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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