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Sophie [7]
3 years ago
15

The speed of light is approximately 3x10^8 meters per second. The speed of sound is approximately 3x10^2 meters per second. If y

ou were standing 900 meters away from a firework show, how long would it take for you to see the fireworks? How about to hear them?
Mathematics
1 answer:
timurjin [86]3 years ago
5 0
To see: 3 micro seconds (0.000003 seconds)
To hear: 3 seconds
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A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the
serious [3.7K]

Answer:

The equation is A=6000e^{-0.23t}  at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation A=A_0e^{rt}. We can find the rate at which it decays by using t=3 hours and A=3000. This means A_0=6000 in this context.

A=A_0e^{rt}\\3000=6000e^{r(3)}

0.5=e^{(24.5)r}

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

We know lne=1 so we were able to cancel it out and divide both sides by 3.

We solve with a calculator \frac{ln0.5}{3} =r\\-0.23=r

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is A=6000e^{-0.23t}


5 0
3 years ago
QUESTION 3
eduard

Athe answer is -2  because it is behind the 0 and will be negative and it is two lines away from the 0 so the answer is -2

3 0
3 years ago
Can someone please answer if itś right I will give the brainlist thing
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Answer:

the answer would be 116.

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Step-by-step explanation:

4 0
3 years ago
If gas costs $3.15 per gallon, how many whole gallons of gas could you buy with $27.00?
Volgvan

Answer: 8 whole gallons.

Step-by-step explanation: If you have only $27.00 and you need to buy gas, but each gallon is $3.15, then you just need to divide your total amount ($27.00) by your cost per gallon ($3.15), and you will get about 8.6 gallons, however this question asks for how many WHOLE gallons you can get, so all you need to do is round down to fit your budget, leaving money for only 8 whole gallons.

WORK: ($27.00) / ($3.15) = 8.6 gallons

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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