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# Science & Mathematics

## Discover

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### What are you going to do to fill in your time after Yahoo Answers paranormal section has shut down?

I am going to feel so lost and lonely, I spend hours everyday slowly and angrily typing out my lies and insults I really don't know what I am going to do with myself. Please suggest a hobby where I can endlessly abuse others - but with no harmful consequences please, because although I am a big guy I'm really rather timid and sensitive and I burst into tears surprisingly easily.

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### Finding Derivative of a Point?

g(x) = 4x² - 2x + 15 ← this is a function

g(5) = 100 - 10 + 15 = 105 → the representative curve of the function passes through (5 ; 105)

g'(x) = 8x - 2 ← this is its derivative

g'(5) = 40 - 2 = 38 ← this is in fact the slope of the tangent line to the curve at point (5 ; 105)

g(x) = 4x² - 2x + 15 ← this is the function → to calculate the derivative:

Lim [g(x₀ + h) - g(x₀)] / h

h → 0

Lim [ { 4.(x₀ + h)² - 2.(x₀ + h) + 15 } - { 4x₀² - 2x₀ + 15 } ] / h

h → 0

Lim [ { 4.(x₀² + 2x₀.h + h²) - 2x₀ - 2h + 15 } - 4x₀² + 2x₀ - 15 ] / h

h → 0

Lim [4x₀² + 8x₀.h + 4h² - 2x₀ - 2h + 15 - 4x₀² + 2x₀ - 15] / h

h → 0

Lim [8x₀.h + 4h² - 2h] / h

h → 0

Lim h.[8x₀ + 4h - 2] / h

h → 0

Lim (8x₀ + 4h - 2) = 8x₀ - 2

h → 0

g'(x₀) = 8x - 2

g'(5) = 40 - 2 = 38 ← this is the same result (above)

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### How fast is ludicrous speed ?

14 AnswersAstronomy & Space3 days ago
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### Will it be culturally-insensitive to send an astranaut by the name of Ben D'Over to explore Uranus?

6 AnswersAstronomy & Space13 hours ago
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### Did astronauts land on the far side of the moon, just wondering why we can’t see evidence with telescopes ?

13 AnswersAstronomy & Space3 days ago
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### How many light years old is mars?

4.5 Billion Years old

And it came here  from the Kessel run at less than 12 Parsecs

27 AnswersAstronomy & Space6 days ago
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### Which planets (or other bodies) in our solar system are the least difficult to colonize?

Mainly Mars, because it is the easiest to get to, besides the Moon

Venus can actually come Closer but it is a different story

Mars can be walked on with a Protective Suit to help breathing  and stave off Solar radiation

But a lot of Smart work over time could actualoly make things more comfortable for us Humans

What Mars mostly lacks is Mass

Mass = Gravity

If Martian Mass was increased so would its Gravity and the Densness of its Atmosphere

If the Mass of Mars was increased to 80% of Earth's, the Gravity would be quite similar to Earth's

Over time, the Mantle would become more liquid till it creates a proper protective Magnetosphere

All that with Breathing apparatus could do away with suits

On the Long term the CO2 in the Atmosphere plus what gets added from the surface as it sublimes would help Vegetation to grow with a bit of effort

Ever Watch the Film, The Martian with Matt Damon

There is no reason it wouldn't work

Plants use CO2 and produce Oxygen, which is handy

So the sooner we start Terraforming the Better

11 AnswersAstronomy & Space3 days ago
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### How far is a 5k?

3 ounces short of 1 cup.

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### The sides of a triangle are in the ratio of 1/2:1/3:1/4. If the perimeter is 52 cm, the length or the smallest side is?

I'd first multiply all the fractions by the LCD of 12 to get rid of denominators.

12*½ : 12*⅓ : 12*¼

= 6 : 4 : 3

Now think of the sides as 6k, 4k and 3k respectively. These add up to 52 cm.

6k + 4k + 3k = 52

13k = 52

k = 4

The sides are therefore:

6k → 6(4) = 24 cm

4k → 4(4) = 16 cm

3k → 3(4) = 12 cm

Note: We could have kept the numbers as fractions and you could have still gotten the same answer.

Let the sides be ½x, ⅓x and ¼x respectively.

½x + ⅓x + ¼x = 52

(½ + ⅓ + ¼)x = 52

(6/12 + 4/12 + 3/12)x = 52

(13/12)x = 52

x = 52*(12/13)

x = 52/13 * 12

x = 4*12

x = 48

So the sides are:

½x → 48/2 = 24 cm

⅓x → 48/3 = 16 cm

¼x → 48/4 = 12 cm

I just like working with integers rather than fractions which is why I multiplied it all by 12 at the beginning.

The shortest side is 12 cm

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### NG is getting very cocky now that Q&A is closing, threatening to come to UK and jump on me or some crap.?

When he gets here, I want to impress him with a trick before I beat the crap out of him then lock him up. However, I need to learn how to do it. You must have seen it? Some guy does it with a balloon on tv. He ties it in knots, shapes it, then wears it on his head? I want to do that one with NG, the retard school teacher, sorry, I mean retired school teacher. The one who puffs and pants over his cornflakes whilst I am jogging. I would be very grateful if you could tell me how it's done. I am going to have great, oops! there I go again. I mean we are going to have great fun when he gets here. I..Can't...fecking...wait.

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### How often do I need to take the Covid vaccine to stay safe?

In other words, how long does it remain effective?

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### How do I solve 15^x-8+5=62 And round 3 places past the decimal?

Exponential and log equations

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### Will Alyssa Carson have the first Mars’ new born?

So she’s being trained to go in a 1 way ticket to Mars and stay there until she died. Does that means she’s getting trained to have babies in Mars to populated the planet with humans?

8 AnswersAstronomy & Space6 days ago
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### If a star 600 hundred light years away went super nova how big would the explosion have to be for people to see it is less than 600 years?

You could see it sooner than 600 years if you have a powerful telescope pointed at the Nova.  The scope would be able to see the light from the explosion before the light reaches Earth.

12 AnswersAstronomy & Space5 days ago
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