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3 years ago

I really need help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Mathematics

2 answers:

Daniel [21]3 years ago

6 0

Answer:

1/100

Step-by-step explanation:

MAVERICK [17]3 years ago

4 0

Simplify 6/180
which is 1/30

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3 years ago

What is the sum of the interior

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2 years ago

Which statement is true about Angle B P D? Line A B intersect line C D at point P. It is adjacent to Angle A P C. It is compleme

mel-nik [20]

Answer:

It is congruent to Angle A P C

Step-by-step explanation:

we know that

<u><em>Vertical angles</em></u> are the angles opposite each other when two lines cross. They are always congruent.

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$m\angle APC=m\angle BPC$ -----> by vertical angles

see the attached figure to better understand the problem

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3 years ago

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3 years ago

The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given

slavikrds [6]

Answer:

a) $\frac{dm}{dt} = -k\cdot m$ , b) $m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ , c) $m(t) = 10\cdot e^{-\frac{t}{2438.155} }$ , d) $m(300) \approx 8.842\,g$

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

$\frac{dm}{dt} = -k\cdot m$

b) The general solution is found after separating variables and integrating each sides:

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

Where $\tau$ is the time constant and $k = \frac{1}{\tau}$

c) The time constant is:

$\tau = \frac{1690\,yr}{\ln 2}$

$\tau = 2438.155\,yr$

The particular solution of the differential equation is:

$m(t) = 10\cdot e^{-\frac{t}{2438.155} }$

d) The amount of radium after 300 years is:

$m(300) \approx 8.842\,g$

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3 years ago

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