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4 years ago

408.75 as a frction explain

Mathematics

1 answer:

disa [49]4 years ago

7 0

Answer: 1635 / 4 or 408 3 / 4

Step-by-step explanation: 75 is equivalent to 3/4

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10. State the independent variable and the dependent variable in each situation. Then find the rate of change for each situation

lina2011 [118]

Answer:

<h2>i solve mo para ka namang walang utak</h2>

Step-by-step explanation:

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8 0

3 years ago

Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isot

Andrews [41]

Answer:

The approximate difference in the half-lives of the isotopes is 66 days.

Step-by-step explanation:

The decay of an isotope is represented by the following differential equation:

$\frac{dm}{dt} = -\frac{t}{\tau}$

Where:

$m$ - Current mass of the isotope, measured in kilograms.

$t$ - Time, measured in days.

$\tau$ - Time constant, measured in days.

The solution of the differential equation is:

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

Where $m_{o}$ is the initial mass of the isotope, measure in kilograms.

Now, the time constant is cleared:

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

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

The half-life of a isotope ( $t_{1/2}$ ) as a function of time constant is:

$t_{1/2} = \tau \cdot \ln2$

$t_{1/2} = -\left(\frac{t}{\ln\frac{m(t)}{m_{o}} }\right) \cdot \ln 2$

The half-life difference between isotope B and isotope A is:

$\Delta t_{1/2} = \left| -\left(\frac{t_{A}}{\ln \frac{m_{A}(t)}{m_{o,A}} } \right)\cdot \ln 2+\left(\frac{t_{B}}{\ln \frac{m_{B}(t)}{m_{o,B}} } \right)\cdot \ln 2\right|$

If $\frac{m_{A}(t)}{m_{o,A}} = \frac{m_{B}(t)}{m_{o,B}} = 0.9$ , $t_{A} = 33\,days$ and $t_{B} = 43\,days$ , the difference in the half-lives of the isotopes is:

$\Delta t_{1/2} = \left|-\left(\frac{33\,days}{\ln 0.90} \right)\cdot \ln 2 + \left(\frac{43\,days}{\ln 0.90} \right)\cdot \ln 2\right|$

$\Delta t_{1/2} \approx 65.788\,days$

The approximate difference in the half-lives of the isotopes is 66 days.

4 0

3 years ago

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In a raffle, Carlos buys 12 tickets and his friend Daniel buys 20 tickets. If there are 80 tickets sold, what is the probability

VladimirAG [237]

Together the probability is 0.4 seperate carlos is 0.15 and daniel probability is 0.25

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3 years ago

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What is 50,372 in word form

JulsSmile [24]

Fifty thousand and three hundred seventy two

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3 years ago

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Simplify 18 cos Ø (algebra)

ArbitrLikvidat [17]

Answer:

that's as simple as it gets

Step-by-step explanation:

"Simplify" usually means "combine like terms, rationalize the denominator, reduce radicals to the greatest extent, cancel common factors from fractions, eliminate parentheses," and the like.

When a function of a single variable is multiplied by a single constant, there is no simplification that can be done.

18cos(Ф)

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If your ∅ is supposed to be zero, then cos(0) = 1 and it simplifies to 18.

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4 years ago