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Dominik [7]
3 years ago
5

Convert 75 seconds to hours​

Mathematics
1 answer:
ZanzabumX [31]3 years ago
8 0
It is 0.02083333 hours.
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Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 cannot be used as a building frame support on the house
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Right triangle ... use Pythagorean theorem.
Hypotenuse is longest side.
8^2 = 64 so it is the shortest side, then sqrt(95) then sqrt(150).
So Pythagorean theorem is 8^2 + [sqrt(95)]^2 = [sqrt(150)]^2 if the triangle is right.
64 + 95 = 159 which doesn’t equal 150 so he’s right. It’s not a right triangle
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A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day
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Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

A(t) = A(0)e^{-kt}

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

A(t) = A(0)e^{-0.1392t}

Find the substance's half life, in days.

This is t for which A(t) = 0.5A(0). So

A(t) = A(0)e^{-0.1392t}

0.5A(0) = A(0)e^{-0.1392t}

e^{-0.1392t} = 0.5

\ln{e^{-0.1392t}} = \ln{0.5}

-0.1392t = \ln{0.5}

t = -\frac{\ln{0.5}}{0.1392}

t = 4.98

The substance half-life is of 4.98 days.

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Answer:

C

Step-by-step explanation:

It's simple

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