The volume of a pyramid is one-third the volume of a prism.
The formula for the volume of a pyramid is V = 1/3Bh
If state has 1627260 people and 1490 square miles, then we divide the number of people by the area and we get the density per square mile.
1627260 / 1490 = 1092,120805369128
After rounding it to the nearest whole number we get 1092.
The answer: In such a state 1092 people live in a square mile.
The equation 0 = -2x2 5x - 3 was the quadratic formula that Zacharias used. However, he started substituting as:
Quadratic formula as x = ; substitution as x
The errors he made: he mistakenly used the negative (-) and postive (+)
* -5 should have been 5
* 52 should have been -52
* both the numerator and the denominator should have been -2 instead of 2
The correct option is: Option (B)

Explanation:
First thing is that the difference between each number in the series with the next number is 5. It means it must be the multiple of 5. There are two options that contain multiples of 5: Option B and Option D. Now in the option D, the upper limit is 6. If we put 6 in the expression: 5(6)-2, the last term would be 28. However in the series given in the question, the last term is 33. Hence 5(7) - 2 = 35 - 2 = 33 which is Option B.
When i=1: 5(1)-2 = 3
When i=2: 5(2)-2 = 8
When i=3: 5(3)-2 = 13
.
.
When i=7: 5(7)-2 = 35-2 = 33
Hence the correct option is (B).
→4(2) which can be referred to as 4 + 4
→14 (4)<span>= 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 </span> which also equal to → 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 +4 + 4 +4 +4 + 4 +4 +4