Answer:
Independent variable: amount of sugar
Dependent variable: size of the loaf of bread
Explanation:
The amount of sugar the mother adds is completely up to her, and the size of the loaf changes according to that, which is why the loaf size is the dependent variable
Work = force x distance.
force = mass x acceleration
work = mass x acceleration x diastance
use acceleration of gravity in this problem
W (J) = m (kg) x a (m/s/s) x d (m)
W = 78 x 9.8 x 6
W = 4586.4
Answer: 276 days
Explanation:
This problem can be solved using the Radioactive Half Life Formula:
(1)
Where:
is the final amount of the material
is the initial amount of the material
is the time elapsed
is the half life of polonium-210
Knowing this, let's substitute the values and find
from (1):
(2)
(3)
(4)
Applying natural logarithm in both sides:
(5)
(6)
Clearing
:
(7)
Answer:
The resultant velocity is 
Explanation:
Apply the law of conservation of momentum

Where
is the mass of the Luxury Liner = 40,000 ton
is the velocity of Luxury Liner = 20 knots due west
mass of freighter = 60,000
is the velocity of freighter = 10 knots due north
Apply the law of conservation of momentum toward the the west direction

So the equation would be

Substituting values

Where
the final velocity due west
Making
the subject


Apply the law of conservation of momentum toward the the north direction

So the equation would be

Where
the final velocity due north
Making
the subject


The resultant velocity is


