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cricket20 [7]
3 years ago
9

In this particular arithmetic sequence, a8 = 28 and a16 = 108. What is the value of a24?

Mathematics
1 answer:
kap26 [50]3 years ago
5 0
In this sequence d=10. Therefore, a24=188.
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Element X decays radioactively with a half life of 12 minutes. If there are 200 grams of Element X, how long, to the nearest ten
Semenov [28]

Answer:

It would take 24 minutes for the element to decay to 50 grams

Step-by-step explanation:

The equation for the amount of the element present, after t minutes, is:

Q(t) = Q(0)e^{-rt}

In which Q(X) decays radioactively with a half life of 12 minutes.(0) is the initial amount and r is the rate it decreases.

Half life of 12 minutes

This means that Q(12) = 0.5Q(0)

So

Q(t) = Q(0)e^{-rt}

0.5Q(0) = Q(0)e^{-12r}

e^{-12r} = 0.5

\ln{e^{-12r}} = \ln{0.5}

-12r = \ln{0.5}

12r = -\ln{0.5}

r = -\frac{\ln{0.5}}{12}

r = 0.05776

If there are 200 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 50 grams?

This is t when Q(t) = 50. Q(0) = 200.

Q(t) = Q(0)e^{-rt}

50 = 200e^{-0.05776t}

e^{-0.05776t} = 0.25

\ln{e^{-0.05776t}} = \ln{0.25}

-0.05776t = \ln{0.25}

0.05776t = -\ln{0.25}

t = -\frac{\ln{0.25}}{0.05776}

t = 24

It would take 24 minutes for the element to decay to 50 grams

6 0
3 years ago
Anyone can solve this for me thx
guajiro [1.7K]

Answer:

16

Step-by-step explanation:

5 0
3 years ago
34% of 149? Solve and explain. Thanks!
lilavasa [31]
58.11 i got that answer by dividing 39 by 149
4 0
3 years ago
Which expression is equivalent to 4(6x + 12)<br> a) 68<br> b) 68x<br> c) 24x + 48<br> d) 24x + 12
mihalych1998 [28]

Answer:

hello! :) have a good day!

C). 24x + 48

5 0
2 years ago
Read 2 more answers
Solve for k<br> pls show work<br> 3/4k - 5 = 1/4k - 1
koban [17]

Answer:

8

Step-by-step explanation:

3/4k-5=1/4k-1

3/4k-1/4k-5=-1

2/4k=-1+5

1/2k=4

k=4/(1/2)

k=(4/1)(2/1)

k=8/1

k=8

Please mark me as Brainliest if you're satisfied with the answer.

8 0
2 years ago
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