What is factor of 4x+2y=

The radioactive isotope radium has a half-life of 1,600 years. The mass of a 100-gram sample of radium will be______ grams after

Olenka [21]

To solve this we are going to use the half life equation $N(t)=N_{0} e^{( \frac{-0.693t}{t _{1/2} }) }$
Where:
$N_{0}$ is the initial sample
$t$ is the time in years
$t_{1/2}$ is the half life of the substance
$N(t)$ is the remainder quantity after $t$ years

From the problem we know that:
$N_{0} =100$
$t=200$
$t_{1/2} =1600$

Lets replace those values in our equation to find $N(t)$ :
$N(200) =100e^{( \frac{(-0.693)(200)}{1600}) }$
$N(200)=100e^{( \frac{-138.6}{1600} )}$
$N(200)=100e^{-0.086625}$
$N(200)=91.7$

We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be 91.7 grams.

8 0

3 years ago

I really need a tutor, but I don’t have the option, help:(

sergij07 [2.7K]

Answer:

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Step by Step Explanation:

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3 0

3 years ago

Select the property that allows the statement 3=x to be written x=3

laiz [17]

My guess would be distributive. i maybe be wrong so don't get mad if I'm wrong.

3 0

3 years ago

The length of the hypotenuse is??

yawa3891 [41]

Answer:

$x = 14.31$

Step-by-step explanation:

According to PYTHAGORAS Theorem,

let the Hypotenuse be x

${6}^{2} + {13}^{2} = {x}^{2} \\ 36 + 169 = {x}^{2} \\ 205 = {x}^{2} \\ \sqrt{205} = x \\ x = 14.31$

5 0

3 years ago

Read 2 more answers

Please help ASAP 25 pts + brainliest to right/best answer

Dmitry [639]

Answer:

Your answer is B

Step-by-step explanation:

The inverse is the opposite of something. Since the inverse of 1/3x is 3x, then we know that we have the multiply the equation by 3. Doing this results in 3x-15, or y=3(x-5)

3 0

3 years ago