Answer:
The elements of the range are the birthdays.
Step-by-step explanation:
A function is a distinct sort of relation in which each element of the domain is combined with precisely one element in the range. A mapping displays how the elements are combined.
A mapping figure comprises of two parallel columns. The 1st column signifies the domain of a function, and the other column for its range.
Lines or arrows are drawn from domain to range, to signify the relation between any two elements.
A function denoted by the mapping, in which each element of the range is combined with accurately one element of the domain is called one-to-one mapping.
From the diagram provided it is clear that the function denoted by the mapping is an one-to-one mapping.
The elements of the range are:
Birthday
: {January 5
, January 7
, February 24
, March 1
, April 7
, May 30
, July 20
, August 1
, November 13
, November 26
}
Thus, the elements of the range are the birthdays.
12.2 I believe but I'm not sure
Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
There are 5 points in the figure (<em>V</em>, <em>W</em>, <em>X</em>, <em>Y</em>, and <em>Z</em>)
<em>a</em> refers to the line through <em>V</em>, <em>W</em>, and <em>X</em>.
<em>b</em> refers to the line through points <em>Y</em>, <em>W</em>, and <em>Z</em>.
<em>D</em> refers to the plane that contains all 5 points as well as the 2 lines.
