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leva [86]
3 years ago
15

A runner increases her speed from 3.1 m/s to 3.5 m/s during the last 15 seconds of her run, what was her acceleration during her

big push to the finish ?
Mathematics
1 answer:
bezimeni [28]3 years ago
4 0
We know, acceleration = change in speed / time
a = (3.5 - 3.1) / 15
a = 0.4 / 15
a = 0.026 m/s²

In short, Your Answer would be: 0.026 m/s²

Hope this helps!
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An experiment starts and the population of a bacteria culture increases by 10% in the first hour. Assume that the population inc
Ne4ueva [31]

Answer:

a) The doubling time is 7.27 hours.

b) The population is 6 hours will be 3,543.

Step-by-step explanation:

The population of the bacteria is modeled by the following equation:

P(t) = P(0)e^{rt}

In which P(0) is the initial population, P(t) is the population after t hours and r is the growth rate.

An experiment starts and the population of a bacteria culture increases by 10% in the first hour.

This means that

P(1) = 1.1P(0)

Which helps us find r.

So

P(t) = P(0)e^{rt}

1.1P(0) = P(0)e^{r}

e^{r} = 1.1

Applying ln to both sides

\ln{e^{r}} = \ln{1.1}

r = 0.0953

So

P(t) = P(0)e^{0.0953t}

a) What is the doubling time?

This is t when P(t) = 2P(0)

So

P(t) = P(0)e^{0.0953t}

2P(0) = P(0)e^{0.0953t}

e^{0.0953t} = 2

Applying ln to both sides

\ln{e^{0.0953t}} = \ln{2}

0.0953t = \ln{2}

t = \frac{\ln{2}}{0.0953}

t = 7.27

The doubling time is 7.27 hours.

b) If the initial population is 2,000, what is the population in 6 hours?

This is P(6) when P(0) = 2000. So

P(t) = P(0)e^{0.0953t}

P(6) = 2000e^{0.0953*6} = 3543

The population is 6 hours will be 3,543.

3 0
4 years ago
Need help with this​
blondinia [14]

Answer:

  • r = √(3V/(πh))
  • r ≈ 1.78 cm

Step-by-step explanation:

Multiply by the inverse of the coefficient of r², then take the square root.

  V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{\pi h}{3}r^2\\\\r^2=\dfrac{3V}{\pi h}\\\\\boxed{r=\sqrt{\dfrac{3V}{\pi h}}}

For V=50, h=15, this is ...

  {r=\sqrt{\dfrac{3(50)}{\pi(15)}}=\sqrt{\dfrac{10}{\pi}}\approx\boxed{1.78\quad\text{cm}}

4 0
4 years ago
How much is a hecto liter <br> or what is a hectoliter??
Alchen [17]
I think it is 1000 liters
8 0
4 years ago
Z= -19i +14 what is the real part of z?
Butoxors [25]
The answer is z=-19i+14
5 0
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Casey has a job doing valet parking. Casey makes an hourly rate of $4.55 per hour plus tips. Last week Casey worked 26 hours and
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898.55 = 118.3 + t

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