After 200 years, 9.84 grams of Cesium would remain.
Let N represent the amount of substance after t years
The half-life of a cesium is 30 years., hence, this can be represented by exponential function:

where a is the initial value and b is the multiplier.
There were initially 1000g of the substance
a) The exponential model for this situation is:

b) After 200 years (t = 200), the amount of Cesium remaining is:

Hence after 200 years, 9.84 grams of Cesium would remain
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the answer is correct answer c. I=(2x - 3) m
Answer:
10 degrees
Step-by-step explanation:
1.) every triangle has angles that add up to 180 degrees
2.) a right triangle has a right angle and two acute angles
3.) right=90 degrees; acute=<90 degrees
4.) 90+80=170
5.) 180-170=10
In this question, it is given that two of the dimensions are 3 cm and 9 cm . Let the other dimension be x cm .
And the surface area of the rectangular prism is given. Now we use the formula of surface area of prism, which is



Subtracting 27 to both sides,

Dividing both sides by 12

So the length of the remaining dimension is 6 cm .
One way to I solve this is by listing all the ways it can be multiplied by:
72: 1*72, 2*36, 3*24, 4*18, 6*12, 8*9.
80: 1*80, 2*40, 4*20, 5*16, 8*10.
Group the factors that they have in common.
Which are 1, 2, 4, and 8.
After that, find the greatest common factor that they both share.
Answer: 8