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DIA [1.3K]
3 years ago
9

Jaclyn estimates that the square root of 50 in the following way: √50 = 2√25 = 2*5 = 10

Mathematics
1 answer:
Harman [31]3 years ago
8 0

Answer:

Jacklyn is wrong because

\sqrt{50}   \ne2 \sqrt{25 }

Step-by-step explanation:

We have that :Jaclyn estimates that the square root of 50 in the following way:

\sqrt{50}  = 2 \sqrt{25}

\sqrt{50}  = 2 \times 5

\sqrt{50}  = 10

Jacklyn is wrong because she made an error at

\sqrt{50}  = 2  \sqrt{25}

The correct expression is

\sqrt{50}  = \sqrt{2 \times 25}

This gives:

\sqrt{50}  = \sqrt{ 25}  \times  \sqrt{2}

\sqrt{50}  =5 \sqrt{2}

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Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 3%. If the rate of deca
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Answer:

The half-life of the radioactive substance is 135.9 hours.

Step-by-step explanation:

The rate of decay is proportional to the amount of the substance present at time t

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\frac{dQ}{dt} = -rt

Which has the following solution:

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

In which Q(t) is the amount after t hours, Q(0) is the initial amount and r is the decay rate.

After 6 hours the mass had decreased by 3%.

This means that Q(6) = (1-0.03)Q(0) = 0.97Q(0). We use this to find r.

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

0.97Q(0) = Q(0)e^{-6r}

e^{-6r} = 0.97

\ln{e^{-6r}} = \ln{0.97}

-6r = \ln{0.97}

r = -\frac{\ln{0.97}}{6}

r = 0.0051

So

Q(t) = Q(0)e^{-0.0051t}

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0.5Q(0) = Q(0)e^{-0.0051t}

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The line 10x + py = q is a tangent at the point (5, 4) in another circle with centre
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Answer:

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Step-by-step explanation:

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Comparing to 10x +py = q, we see that ...

 p = 8

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2 years ago
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