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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Answer:
The three numbers are 29, 31, and 33.
Step-by-step explanation:
Let's imagine that the three consecutive odd integers are 2x−1, 2x+1, and 2x+3. And we are told the sum is 93 right? So, let's equal the three numbers to 93.
2x − 1 + 2x + 1 + 2x + 3 = 93
6x + 3 = 93
-3 -3
-----------------
6x = 90
/6 /6
----------------
x = 15
Now, plug in x into 2x−1, 2x+1, and 2x+3 to find the three numbers.
2x − 1 2x + 1 2x + 3
2(15) - 1 2(15) + 1 2(15) + 3
30 - 1 30 + 1 30 + 3
= 29 = 31 = 33
Answer:
Each pallet will have 7/16 tons of weight
Step-by-step explanation:
Calculate total weight: 2×1/4 + 2/4 + 3/4
= 7/4 tons
total number of boxes= 4
so to divide the weigth evenly among all pallets: (7/4)÷ 4
= 7/16 tons
answer: 4
Step-by-step explanation:
