Answer:
5,789
Step-by-step explanation:
I got 5,789 because there are 9 one digit numbers. 1-9 -> 9x1=9. There are 90 two digit numbers. (10-99)-> 90x2=180. There are 900 three digit numbers. (100-999)-> 900x3=2700. There are 725 four digit numbers. (1000-1724)-> 724x4= 2900. Then, I added 9+180+2700+2900=5789.
In conclusion, the total number of digits required in numbering a book that has 1724 pages is 5789.
Answer:
3 a^12 b^5
Step-by-step explanation:
Simplify the following:
(15 a^8 b^4 a^4 b)/5
15/5 = (5×3)/5 = 3:
3 a^8 b^4 a^4 b
3 a^8 b^4 a^4 b = 3 a^(8 + 4) b^(4 + 1):
3 a^(8 + 4) b^(4 + 1)
4 + 1 = 5:
3 a^(8 + 4) b^5
8 + 4 = 12:
Answer: 3 a^12 b^5
Answer: The answer is -30 - 45 k
Step-by-step explanation:
The trick is to exploit the difference of squares formula,

Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:

Whatever you do to the denominator, you have to do to the numerator too. So

Expand the numerator:






So we have

But √12 = √(3•4) = 2√3, so

here is the answer its in the picture and it also has the solution in picture 2