Answer: 1. 3801
Step-by-step explanation:
Log 24 = Log(8x3)
From the laws of Logarithm
Log ( a xb) = Log a + Log b
so, Log (8x3) = Log8 + Log 3
Also Log 8 can be written as Log
since
is still 8 , so the expression becomes
Log
+ Log 3
⇒ 3 Log 2 + Log 3
since the value of Log 2 and Log 3 has been given , substitute into the expression , we have
3 (0.3010) + 0.4771
= 0.903 + 0.4771
= 1.3801
has no antiderivative in terms of elementary functions (polynomials, exponentials, logarithms, trigonometric functions, etc), but there is a special function defined to fit that role called the error function,
, where

By the fundamental theorem of calculus, we can see that

which means we have

Since all of the numbers share a common number that divides them, a simplified 4:22:30 ratio would be 2:11:15, as it would not be able to divide them further with the same number and still get whole numbers, or 1: 5.5: 7.5, if you wish to split them further to 1.
Let us assume that the number of alternative schools in the county are x in number.
It is given that the number of charter schools is 4 less than twice the number of alternative schools. So we can write, the number of charter schools is 4 less than twice of x. In equation form this can be written as:
Number of Charter Schools = 2x - 4
It is given that number of charter schools is 48. So we can write:
48 = 2x - 4
2x = 52
x = 26
x was the number of alternative schools. Therefore, there are 26 alternative schools in the county.
The answer is A because 6:12 x3 gets you 18:36.