You will need 86 boxes if all the paperweights are packed in boxes.
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For part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.
<h3>What is exponential decay?</h3>
During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an equation for radioactive decay:
a) Plug t = 0
m(0) = 400 grams
b) plug t = 20 years
After solving:
m(20) = 198.63 grams
c) Plug m(t) = m(0)/2 = 400/2 = 200 grams
x = 19.80 years ≈ 20 years
Thus, for part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.
Learn more about the exponential decay here:
brainly.com/question/14355665
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Answer:
2x³+17x²+25x-50
Step-by-step explanation:
Standard Form: All your numbers and variables in order of the highest exponent.
(2x²+7x-10)(x+5)
We want to distribute x and 5 to every single value.
2x³+7x²-10x+10x²+35x-50
Simplify.
2x³+17x²+25x-50
This is standard form because the highest values are on the left (x³ is larger than x²).
Answer:
4.9kg of water
Step-by-step explanation:
Dry basis is the percentage ratio of moisture amount to amount of dry product which is 175%
Ratio of moisture amount to dry product = 175 : 100
Mass of food product = 10kg
Amount of moisture in food product = 175/175+100 × 10kg = 175/275 × 10kg = 6.4kg
Wet basis is the percentage ratio of the moisture amount to the total weight of material which is 15%
Ratio of moisture amount to total weight of material is 15 : 100
Amount of moisture in food product = 15/100 × 10kg = 1.5kg
Amount of water contained in the final product = 1.5kg
Amount of other components in the food product = 10kg - 6.4kg = 3.6kg
Total amount = 1.5kg + 3.6kg = 5.1kg
% of water = 1.5kg/5.1kg × 100 = 29%
