question 7 · 3 points\na radioactive substance has a decay rate of 0.079 per minute. how many grams of a 200…

question 7 · 3 points\na radioactive substance has a decay rate of 0.079 per minute. how many grams of a 200 gram sample will remain radioactive after 1 hour? round the answer to the nearest tenth of a gram, and do not include the unit in your answer.\nnote: the formula for radioactive substance is $w = me^{-kt}$.\nprovide your answer below:

question 7 · 3 points\na radioactive substance has a decay rate of 0.079 per minute. how many grams of a 200 gram sample will remain radioactive after 1 hour? round the answer to the nearest tenth of a gram, and do not include the unit in your answer.\nnote: the formula for radioactive substance is $w = me^{-kt}$.\nprovide your answer below:

Answer

Explanation:

Step1: Identify values

$M = 200$, $k=0.079$, $t = 60$ (since 1 hour = 60 minutes)

Step2: Substitute into formula

$W = 200e^{-0.079\times60}$

Step3: Calculate exponent

$-0.079\times60=-4.74$

Step4: Calculate exponential value

$e^{-4.74}\approx0.0088$

Step5: Calculate $W$

$W = 200\times0.0088 = 1.76\approx1.8$

Answer:

1.8