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notsponge [240]
2 years ago
5

Superman needs to save Lois from the clutches of Lex Luthor. After flying for 6 seconds, he is 2430 meters from her. Then at 12

seconds he is 2160 meters from her.
Mathematics
1 answer:
gayaneshka [121]2 years ago
8 0

Answer:

2700.

Step-by-step explanation:

The total distance would be 2700.

Distance traveled between in 6th second and 12th second is 2430-2160=270 meter. That means Superman covered 270 meter in 6 seconds.

So, now if he is moving at the same speed, he should cover the same distance in first 6 seconds which is 270 meter.

Suppose the whole distance is X when time is 0, and after flying for 6 seconds he now is 2430 meter away. It means that he must have covered the distance of X-2430=270.

Finding for X, we gets the full initial distance, when time was 0.

The simple trick is, once we get the distance he has covered in 6 seconds, we can form the equation like subtracting the whole distance- remaining distance equals to covered distance.

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Without sketching the graph solve -6-x>10
kompoz [17]

Answer:

x < -16

Step-by-step explanation:

-6-x>10

adding 6 in both sides:

-6-x+6 > 10+6

-x > 16

If you want to remove the negative sign from x, you'll have to change the inequality sign.

x < - 16

Hope this helps.

5 0
3 years ago
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QveST [7]

Answer:

2:3

Step-by-step explanation:

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2 years ago
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A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is checked 60 minutes later, it is
Luba_88 [7]

Answer:

P(t) = 100e^{0.0251t}

The doubling time is of 27.65 minutes.

Step-by-step explanation:

Exponential equation of growth:

The exponential equation for population growth is given by:

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

In which P(0) is the initial value and k is the growth rate.

A freshly inoculated bacterial culture of Streptococcus contains 100 cells.

This means that P(0) = 100. So

P(t) = 100e^{kt}

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.

This means that P(60) = 450, and we use this to find k. So

450 = 100e^{60k}

e^{60k} = 4.5

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60k = \ln{4.5}

k = \frac{\ln{4.5}}{60}

k = 0.0251

So

P(t) = 100e^{0.0251t}

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This is t for which P(t) = 2P(0) = 200. So

200 = 100e^{0.0251t}

e^{0.0251t} = 2

\ln{e^{0.0251t}} = \ln{2}

0.0251t = \ln{2}

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3 years ago
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Answer:

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10x-25=-15

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6 0
2 years ago
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svet-max [94.6K]

Answer:

12

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