Answer:
You will have 1.585 left after 35 years.
Step-by-step explanation:
Equation for amount of a substance:
The equation for the amount of a substance, using exponential decay, is given by:

In which A(0) is the initial amount and r is the decay rate, as a decimal.
The half-life of BRADIUM-29 is 15 years.
This means that
. We use this to find r.



![\sqrt[15]{(1 - r)^{15}} = \sqrt[15]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B15%5D%7B%281%20-%20r%29%5E%7B15%7D%7D%20%3D%20%5Csqrt%5B15%5D%7B0.5%7D)


Then


You have 8 ounces of this strange substance today
This means that
. So


How much will you have left after 35 years?
This is A(35). So


You will have 1.585 left after 35 years.
Answer:
6j6j
Step-by-step explanation:
Answer:
<u>Option D. The student is completely incorrect because there is no solution to this inequality. </u>
Step-by-step explanation:
<u>The question is as following:</u>
A student found the solution below for the given inequality.
|x-9|<-4
x-9>4 and x-9<-4
x>13 and x<5
Which of the following explains whether the student is correct?
A. The student is completely correct because the student correctly wrote and solved the compound inequality.
B. The student is partially correct because only one part of the compound inequality is written correctly.
C. The student is partially correct because the student should have written the statements using “or” instead of “and.”
D. The student is completely incorrect because there is no solution to this inequality.
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Given: |x-9| < -4
We should know that the out put of modulus always will be greater than or equal to zero.
So, The inequality always will not be true (unlogic condition)
So, There is no solution to this inequality.
The answer is option D
D. The student is completely incorrect because there is no solution to this inequality.
Answer:
Step 2, he didn't add the values he completed the square with to both sides.
Step-by-step explanation:
When you complete the square, you need to add the values to both sides, not just one.
So when Homer added 49 + 1 or 50 to the left side of the equation, he should've also added 50 to the right side of the equation.
Hence, the equation would now be :
(x-7)^2 + (y+1)^2 = 75
Answer:
D
Step-by-step explanation: