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LekaFEV [45]
3 years ago
8

What is the antiderivate to 1/x?

Mathematics
2 answers:
Rasek [7]3 years ago
7 0
That's the natural log of 'x'.
Arturiano [62]3 years ago
5 0
I'm pretty sure 1/x = f(x). Could be wrong though, I'm talking about graphs here, so yeah :/
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What is prime factorization?
Mila [183]
The process of finding which prime numbers you need to multiply together to get a certain number. ex: 21=7x3      20=2x2x5
4 0
4 years ago
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(1 point) Carbon dating is often used to determine the age of a fossil. For example, a humanoid skull was found in a cave in Sou
Aleksandr [31]

Answer:

The estimated age of the skull is 39118 years.

Step-by-step explanation:

The amount of the substance after t years is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount, and r is the decay rate.

The half-life of carbon-14 is about 5600 years.

This means that A(5600) = 0.5A(0). We use this to find r, or 1 - r, to replace in the equation. So

A(t) = A(0)(1-r)^t

0.5A(0) = A(0)(1-r)^{5600}

(1-r)^{5600} = 0.5

\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}

1 - r = (0.5)^{\frac{1}{5600}}

1 - r = 0.9999

So

A(t) = A(0)(0.9999)^t

Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.

This is t for which A(t) = 0.02A(0). So

A(t) = A(0)(0.9999)^t

0.02A(0) = A(0)(0.9999)^t

(0.9999)^t = 0.02

\log{(0.9999)^t} = \log{0.02}

t\log{0.9999} = \log{0.02}

t = \frac{\log{0.02}}{\log{0.9999}}

t = 39118

The estimated age of the skull is 39118 years.

6 0
3 years ago
Date
siniylev [52]

Answer:

16 workers are required to complete the work in 45 days...

Step-by-step explanation:

12 workers are required to complete the work in 60 days

so... 60*12=720 workers are required to complete the work in 1 day

Hence,

720/45 = 16 workers are required to complete the work in 45 days.

8 0
4 years ago
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
abruzzese [7]

Answer:

(-7, 8)

step-by-step explanation:

  • original coordinates of B: (-9, -8)

if translated two units horizontally, there will be change in x axis

  • new coordinates: (-9+2, -8) → (-7,-8)

if reflected over x-axis, use the formula: (x,y) → (x, -y)

  • new coordinates: (-7, -(-8)) → (-7, 8)
3 0
2 years ago
How far is –8 from the origin?
ANTONII [103]

Answer:

8 units

Step-by-step explanation:

The origin is 0, so -8 is 8 units away from the origin.

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