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CaHeK987 [17]
3 years ago
10

A 45 gram sample of a substance that’s used to preserve fruit and vegetables has a K-value of 0.1085

Mathematics
1 answer:
Anna007 [38]3 years ago
7 0

Answer:

6.3 days

Step-by-step explanation:

The decay formula is

N(t) = N₀ exp(-kt)

where

N₀ = 45 g, original mass

N(t) = mass after time t, days

k = 0.1109, the decay constant.

At half life, N(t) = (1/2)*N₀. Therefore

1/2 = exp(-0.1109t)

Take natural log of each side.

ln(0.5) = -0.1109t

t = ln(0.5)/(-0.1109) = 6.25 days

Answer: 6.3 days (nearest tenth)

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Answer:

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Step-by-step explanation:

1) all straight lines sum to 180°

subtract the angles given from 180°

the other angle for b is 25°, while the other angle for m is 155°

so we can see that the angles for both lines are the same, hence they are parallel.

2) ∠8 should be the same as ∠6, ∠10 should be the same as ∠3, ∠7 same as ∠5 and ∠9 same as ∠4

in the options we are only given '∠8 should be the same as ∠6' as the correct answer, so we take that.

3) from the image we can see that both horizontal lines are parallel to each other, so both angles on the lines should be same, so ∠CET would be (2x-16)°

(2x-16)°+(7x+20)°=180°

we get x=20(nearest whole number)

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4) since we need to show that they are parallel,

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I hope u understand it the way I put it.

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3 years ago
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