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Oksi-84 [34.3K]
2 years ago
5

Please help with this question. Quick! 20 points!

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
7 0

Answer:

Step-by-step explanation:

a is not proportional

b is not proportional

sorry if its wrong this isn't my strong suit

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Sabrina read a total of 175 pages in 3 days. On the first day she read 45 pages. On the second and third days, she read the same
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Answer: Sabrina read 65 pages on the second and third days

Step-by-step explanation:

45 + 2x = 175

45 - 45 + 2x = 175 -45

2x = 130

2x/2  = 130/2

x = 65

CHECK: 45 + 65 +65 = 175

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Find the distance between the two points S(–5, –2) and T(–3, 4).
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Step-by-step explanation:

7 0
2 years ago
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
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