21 trucks, each with a 2.5-ton payload, are needed to unload a freight train. How many trucks, each with a 3.5-ton payload, woul
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The equations which are sums of perfect cubes are as follows;
<h3>Perfect cubes;</h3>
Perfect cubes are the numbers that are the triple product of the same number.
We have to determine
Which are sums of perfect cubes?
1. The given equation is .
The equation can be written as;
All the terms in the expression are can be represented as perfect cubes.
2. The given equation is .
The equation can be written as;
In this, all the terms are not perfect cubes, some of them are squares.
3. The given equation is .
The equation can be written as;
All the terms in the expression are perfect cubes.
4. The given equation is .
The equation can be written as;
All the terms in the expression are perfect cubes.
5. The given equation is .
The equation can be written as;
In this, all the terms are not perfect cubes, some of them are squares too.
To know more about perfect cubes click the link given below.
We have been given that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.
We will use sum of geometric sequence formula to solve our given problem.
, where,
a = First term of sequence,
r = Common ratio,
n = Number of terms.
For our given problem ,
and
.
Therefore, the ball will travel 100 meters and option B is the correct choice.