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pav-90 [236]
3 years ago
12

#26 please PLEASE EXPLAIN

Mathematics
2 answers:
Marta_Voda [28]3 years ago
4 0
A = a^2.....the area of a square is equal to one side squared.

A = 125

125 = a^2....now take the sqrt of both sides, this eliminates the ^2
sqrt 125 = a
11.18 rounds to 11 miles....so each side is 11 miles
Amiraneli [1.4K]3 years ago
3 0
25 miles and 5 miles because you only multiply two sides to find the area 25•5=125
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OKAY i CANT EVEN FIGURE THIS ONE OUT NEED HELP.<br> -3 (5 – 2y)
inessss [21]

negative multiplied by positives = negative numbers

3 x 5 = -15

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-3 x -2y = +6y

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3 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

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