2 years ago

What is the solution for t in the equation?

Mathematics

1 answer:

AlekseyPX2 years ago

4 0

Answer:

Step-by-step explanation:

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The age of the Hawaiian islands gets older as you move from east to west. If the half-life of K-40 is 1.3 billion years, approxi

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Answer:

$t \approx 750550.12\,yr$

Step-by-step explanation:

The time constant of the isotope is:

$\tau = \frac{1.3\times 10^{9}\,yr}{\ln 2}$

$\tau \approx 1.876 \times 10^{9}\,yr$

The decay of the isotope is described by the following model:

$\frac{m}{m_{o}} = e^{-\frac{t}{\tau} }$

Now, the time is cleared in the equation:

$t = -\tau \cdot \ln \frac{m}{m_{o}}$

$t = - (1.876\times 10^{9}\,yr)\cdot \ln 0.9996$

$t \approx 750550.12\,yr$

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2 years ago

The product of 5 and a number, decreased by 9, is 306. What is the number?

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Step-by-step explanation:

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You rode a bicyde for 2 hours and travelled 43 km, calculate your average<br>speed.

cupoosta [38]

Answer:

22.5km per hour

Step-by-step explanation:

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2 years ago

Y=3xy-1, Solve for y

Ket [755]

Answer:

y = $\frac{1}{3x-1}$

Step-by-step explanation:

Given

y = 3xy - 1

Collect terms in y on the left side by subtracting 3xy from both sides

y - 3xy = - 1 ← factor out y on the left side

y(1 - 3x) = - 1 ( divide both sides by 1 - 3x

y = $\frac{-1}{1-3x}$ ← multiply numerator/denominator by - 1

y = $\frac{1}{3x-1}$

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A chemist is using 328 milliliters of a solution of acid and water. If 14.4% of the solution is acid, how many milliliters of ac

gregori [183]

Answer:

47.432 (rounds to 47.4 or 47.43)

Step-by-step explanation:

14.4 * 328/100 = 47.232

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2 years ago