5x + 3 ≥ 10
3 is adding on the left, then it will subtract on the right
5x ≥ 10 -3
5x ≥ 7
5 is multiplying on the left, then it will divide on the right
x ≥ 7/5
x ≥ 1.4
Then, the smallest integer value of x is 2
Answer:
Each table is $6 and each chair is $2.50
Step-by-step explanation:
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)).
Answer:
simplified: (16/81)
rewritten: (2/3)^4
Step-by-step explanation:
hope this helps! if wrong you can delete it :)
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