Two <em>possible answers</em> are:
23.65 and 23.72.
Explanation:
For the first number, 23.65, we are rounding to the tenths place. 23.65 itself is smaller than 23.7. Looking behind the tenths place, the digit behind it is 5. This means we round the tenths place up; this becomes 23.7.
23.72 is larger than 23.7. We will round it to the tenths place as well. Looking behind the tenths place, we have a 2; this means we "round down." This means leave the 7 as it is and drop the other digits behind it. This gives us 23.7.
Here is your answer. Hope it helps
Step-by-step explanation:
1. The first step has 1 block. The second step has 2 blocks. The third step has 3 blocks. So the nth step needs n blocks.
2. A staircase with n steps has 1 + 2 + 3 + ... + n steps. This is an arithmetic sequence where the first term is 1 and the last term is n. The sum of the first n terms is:
y = n/2 (1 + n)
3. Solve for n.
2y = n (1 + n)
2y = n² + n
0 = n² + n − 2y
Using quadratic formula:
n = [ -1 ± √(1 − 4(1)(-2y)) ] / 2
n = [ -1 + √(1 + 8y) ] / 2
If 
, then the area between the graph of 
and the <em>x</em>-axis for non-negative <em>x</em> is given by the integral,
Let 
and 
; then the integral is equivalent to
