Answer:
1
Step-by-step explanation:
can be expressed as 
= 
Similarly 
can be expressed as 
= 
Numerator becomes:
· 
= 
Denominator becomes:
· 
=
Since numerator = Denominator,
Answer = 1
Edit reason: typo
Answer:
54/25
Step-by-step explanation:
54/25 is the simplest form of 2.16 when writing as a fraction.
9514 1404 393
Answer:
y = 38x
Step-by-step explanation:
The constant of proportionality (k) is the value of y when x=1. The table shows that to be 38. Then the equation is ...
y = kx
y = 38x
Assuming a d-heap means the order of the tree representing the heap is d.
Most of the computer applications use binary trees, so they are 2-heaps.
A heap is a complete tree where each level is filled (complete) except the last one (leaves) which may or may not be filled.
The height of the heap is the number of levels. Hence the height of a binary tree is Ceiling(log_2(n)), for example, for 48 elements, log_2(48)=5.58.
Ceiling(5.58)=6. Thus a binary tree of 6 levels contains from 2^5+1=33 to 2^6=64 elements, and 48 is one of the possibilities. So the height of a binary-heap with 48 elements is 6.
Similarly, for a d-heap, the height is ceiling(log_d(n)).
