Answer:
The force exerted by the weight lifter is 81.7 N.
Step-by-step explanation:
We can find the force exerted by the weight lifter using the definition of work:
(1)
Where:
F: is the force
d: is the displacement
We have W = 9.8 J of work and d = 0.12 m, so by solving equation (1) for F we have:

Therefore, the force exerted by the weight lifter is 81.7 N.
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Answer:
77 litres
Step-by-step explanation:
1L = 0.26 gal
0.26 gal = 1L
Divide both sides by 0.26
1 gal = 1 ➗ 0.26
1 gal = 3.85 L
Now multiply both sides by 20
20 gal = 3.85 × 20
20 gallons = 77 litres
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To solve this problem, let us first assign some variables.
Let us say that:
d = represents the population density of the circular region
(in units of 513 people per square mile)
p = represents the population of the circular region (in
units of people)
r = is the radius of the circular region
Now we can see that if we divide p by d, we can get a value
which has a units of square mile. Thus the area of the region, hence:
Area = 79,000 people / (513 people per square mile)
Area = 154 square mile
The area of a circle has the formula:
Area = π r^2
Therefore calculating for r:
154 square mile = π r^2
r = 7 miles (ANSWER)
The total amount is the sum of the cost of three nights in the hotel, $346.86, the flight costs, $45.70 + $32.49 = $78.19, and four days of food, $60, the amount he lost, $25, less the amount he won, $75. Calculating,
($346.86 + $78.19 + $60 + $25) - ($75) = $435.05