Given:
If x, y, and z are positive integers, then

To find:
The value of
.
Solution:
First we need to find the prime factors of 54000.

...(i)
We have,
...(ii)
On comparing (i) and (ii), we get
.
The sum of
is:


Therefore, the value of
is 10.
Answer:
Step-by-step explanation:
We first need dy/dx.
dy/dx = -2sin(x/2)(1/2)
dy/dx = -sin(x/2)
We now find d^2y/dx^2.
d^2y/dx^2 = -cos(x/2)(1/2)
d^2y/dx^2 = -(1/2)cos(x/2)
Answer:
a) 21+30+10+4+19+31+7+17+4=148
148 divided by 10= 14.8
b) 148+17=165
165 divided by 11= 15
Step-by-step explanation:
In math, the mean is the average of a set of numbers. To find the mean of a data set, add up all of the numbers in the set, and then divide that total by the amount of numbers in the set.
Sequence: 34, 42, 50, 58, 66
Since the difference between consecutive terms is 8, we deduce it is an arithmetic sequence, the recursive formula would be:

Given that the first term is 34 and the common difference is 8, the explicit formula would be: