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3 years ago

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 $Q(12) = 0.5Q(0)$

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

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

$e^{-12r} = 0.5$

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

$-12r = \ln{0.5}$

$12r = -\ln{0.5}$

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

$r = 0.05776$

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:

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) a) 68 b) 68x c) 24x + 48 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 pls show work 3/4k - 5 = 1/4k - 1

koban [17]

Answer:

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