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Bumek [7]
2 years ago
5

URGENT!! Given the inequality, the test point (2,-8) .... a) b) c) d)

Mathematics
1 answer:
sattari [20]2 years ago
3 0

Answer:

B

Step-by-step explanation:

let's see, I'd the point on the line/boundary ?

for this we use the equality part (and use the coordinates of the point as x and y) :

-8 = 2×2² - 5×2 - 6 = 8 - 10 - 6 = -2 - 6 = -8

correct.

this proves that the point is on the line defined by the equation.

and that means it is on the boundary of the inequality.

because that inequality contains the boundary in the solution region (hence the >= relation instead of just >), we cannot use that point to determine which side of the boundary (incl. the boundary line, but still) is the solution region.

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Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

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where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

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From the information given we know:

  • The initial quantity of silicone-32 is 30 g.
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So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

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