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oksano4ka [1.4K]
3 years ago
6

What is the recursive formula for this sequence . 10,14,18,22,26,...

Mathematics
1 answer:
ad-work [718]3 years ago
6 0
X+4 it is add 4 digit
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Suppose the half-life of a decaying radioactive isotope is 674 years. How long will it takefor the isotope to decay from 100 gra
KonstantinChe [14]

The half life formula is :

N(t)=N_o(\frac{1}{2})^{\frac{t}{T}}

where N(t) = remaining quantity after t years

No = Original Quantity

t = time in years

T = half life in years

From the problem, we have :

N(t) = 30 grams

No = 100 grams

T = 674

Solve for t :

\begin{gathered} 30=100(\frac{1}{2})^{\frac{t}{674}} \\ \frac{30}{100}=(\frac{1}{2})^{\frac{t}{674}} \\ \frac{3}{10}=(\frac{1}{2})^{\frac{t}{674}} \end{gathered}

Take ln of both sides :

\begin{gathered} \ln (\frac{3}{10})=\ln (\frac{1}{2})^{\frac{t}{674}} \\ \ln (\frac{3}{10})=\frac{t}{674}\ln (\frac{1}{2}) \\ t=\frac{674\ln (\frac{3}{10})}{\ln (\frac{1}{2})} \\ t=1170.71 \end{gathered}

The answer is t = 1170.71 years

5 0
1 year ago
Wednesday 2pm
faltersainse [42]

Answer:

3 and 18

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3 years ago
7x-8=4+3x please explain thank you
disa [49]

Hey there!!

Given:

... 7x-8=4+3x

... 4x-8=4

... 4x=12

... x=12/4

...x=3

Hence, the required answer is 3.

Hope it helps!

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3 years ago
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А<br> _has two-fold rotational symmetry.
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Common figures with only rotational symmetry are the recycling sign and fan blades. If a figure coincides with the original twice in one full turn, it has two-fold rotational symmetry, or rotational symmetry order two. ... The square, for example, has four-fold rotational symmetry.

3 0
3 years ago
Which function is both continuous and differentiable for all x? I'm conflicted between A and D.
Vikki [24]

Answer: A is the correct answer

Step-by-step explanation: D has a removable discontinuity at x =-3 and is not continuous.

8 0
3 years ago
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