John should receive about 7200 milligrams of the drug.The unit conversion given is,1 lb =0.45 kg.
<h3>What is weight?</h3>
The weight of matter is found as the product of the mass and the gravitational acceleration.
Unit conversion;
1 lb =0.45 kg.
Dosage of a drug = 200 mg / kilogram
John weighs = 80 lb
1 lb =0.45 kg.
80 lb = 36 kg
According to the weight the drug should he receive is;
Dosage of a drug = 200 mg / kilogram × 36
Dosage of a drug = 7200 milli gram
Hence, John should receive about 7200 milligrams of the drug.
To learn more about the weight refer;
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•Using the formula the first term is a1 = −3
•Using the formula the second term is a2 = −1
•Using the formula the third term is a1 = 6
•Common difference formula:
a2 - a1 = (-1) - (-3) = 2
Answer:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Step-by-step explanation:
Consider the pattern:
8(5)=10(5-1)=40
8(5) + 8(25) = 10(25 - 1) =240
8(5) + 8(25) + 8(125) = 10(125 - 1) =1240
8(5) + 8(25) + 8(125) + 8(625) = 10(625 - 1)=6240
According to inductive reasoning next term of pattern will become:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)= 10(3125 - 1)=31240
Checking whether conjecture is correct or not:
Consider L.H.S:
8(5) + 8(25) + 8(125) + 8(625) +8(3125)
40+200+1000+5000+25000
31240
R.H.S:
31240
Hence proved Conjecture is correct
L.H.S=R.H.S
Area of rectangle = length x breadth
= 9 x 4.25
= 38.25
= 38 sq. inches (After rounding)
Hope this helps you!
