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)).
A function assigns the values. The sum of the two function will be equal to 3[√(x-3) + 5].
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given f(x)=√(x-3) and g(x)=[√(4x-12)]+15, therefore, the sum of the two function will be written as,
![= \sqrt{x-3} + \sqrt{4(x-3)}+3(5)\\\\ = \sqrt{x-3} + 2\sqrt{(x-3)}+3(5)\\\\= 3\sqrt{(x-3)}+3(5)\\\\ = 3[\sqrt{(x-3)}+5]](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7Bx-3%7D%20%2B%20%5Csqrt%7B4%28x-3%29%7D%2B3%285%29%5C%5C%5C%5C%20%3D%20%5Csqrt%7Bx-3%7D%20%2B%202%5Csqrt%7B%28x-3%29%7D%2B3%285%29%5C%5C%5C%5C%3D%203%5Csqrt%7B%28x-3%29%7D%2B3%285%29%5C%5C%5C%5C%20%3D%203%5B%5Csqrt%7B%28x-3%29%7D%2B5%5D)
Hence, the sum of the two function will be equal to 3[√(x-3) + 5].
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First you make an equation and establish a variable.
x=amount of hours the DJs will charge the same amount
100+21x=150+15x
Now you solve for x and that will get you your answer.
100+21x=150+15x
-21x -21x
100=150-6x
-150 -150
-50=-6x
8.3333...=x
You can round the answer to $8.33
Hope I helped.
5 weeks and 5 days.
Explanation: 40\7 equals 5.714... 5*7=35 40-35=5
