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ahrayia [7]
3 years ago
8

7 - (63/9) to the power of 2 divided by 7

Mathematics
1 answer:
Valentin [98]3 years ago
4 0
6.8 is the answer I got on my calculator
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Click the picture that I sent you
Digiron [165]

Answer: 1211.6585 years

<u>Step-by-step explanation:</u>

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

  • P: final population
  • P₀: initial population
  • k: rate of decay (or growth)
  • t: time

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}

5 0
3 years ago
There are 12 people having lunch. Each person wants 1/3 of a sub sandwich. How many whole sub sandwich are needed
Oliga [24]
12/3= 4
Need 4 whole sub sandwiches in orders for everyone to get 1/3 of a sandwich
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3 years ago
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siniylev [52]

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4073.76

Step-by-step explanation:

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Sladkaya [172]

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3 years ago
Let f be continuous on [0, a] and differentiable on (0, a), Prove that if f(a)=0 then there is at least one value of x in (0, a)
asambeis [7]

Answer:

See picture attached

Step-by-step explanation:

6 0
3 years ago
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