Answers:
a)
b)
c)
Explanation:
<h3>a) Mass of the continent</h3>
Density is defined as a relation between mass and volume :
(1)
Where:
is the average density of the continent
is the mass of the continent
is the volume of the continent, which can be estimated is we assume it as a a slab of rock 5300 km on a side and 37 km deep:
Finding the mass:
(2)
(3)
(4) This is the mass of the continent
<h3>b) Kinetic energy of the continent</h3>
Kinetic energy is given by the following equation:
(5)
Where:
is the mass of the continent
is the velocity of the continent
(6)
(7) This is the kinetic energy of the continent
<h3>c) Speed of the jogger</h3>
If we have a jogger with mass and the same kinetic energy as that of the continent , we can find its velocity by isolating from (5):
(6)
Finally:
This is the speed of the jogger
Answer:
(C) the fulfillment of physical, mental, emotional, and social needs
Explanation:
Nurture
Definition (A) - <u><em>Care for and encourage the growth or development of</em></u>
Definition (B) - <u><em>The process of caring for and encouraging the growth or development of someone or something</em></u>
The best definition in the answer list for the word "nurture" is answer (C) The fulfillment of physical, mental, emotional, and social needs
The dot would be the earthquake epicenter. That is where the earthquake originated.
To solve this problem we will apply the concepts related to the calculation of the surface, volume and error through the differentiation of the formulas given for the calculation of these values in a circle. Our values given at the beginning are
The radius then would be
And
PART A ) For the Surface Area we have that,
Deriving we have that the change in the Area is equivalent to the maximum error, therefore
Maximum error:
The relative error is that between the value of the Area and the maximum error, therefore:
PART B) For the volume we repeat the same process but now with the formula for the calculation of the volume in a sphere, so
Therefore the Maximum Error would be,
Replacing the value for the radius
And the relative Error