Step-by-step explanation:
4(8x + 3y)
= 4 × 8x + 4 × 3y. [Gets multiplied with 4]
= <u>32x + 12y (Ans)</u>
Joe jumped the farthest at 6 1/4 (6 ft 3 in)
Chelsey jumped the shortest ar 4 1/5 (4 ft 2.4 in)
6-4=2
3-2.4=.6
the difference is: 2 ft and 0.6 in
Answer: 9,953
Step-by-step explanation:
The first step is to find what the sales tax rate is for the first car because it will be the same for the second.
11,900/767 = .064
Now to find the cost of the second car we divide.
637/.064 = 9,953.125 Round to nearest dollar.
Answer:
Check the explanation
Step-by-step explanation:
(a)Let p be the smallest prime divisor of (n!)^2+1 if p<=n then p|n! Hence p can not divide (n!)^2+1. Hence p>n
(b) (n!)^2=-1 mod p now by format theorem (n!)^(p-1)= 1 mod p ( as p doesn't divide (n!)^2)
Hence (-1)^(p-1)/2= 1 mod p hence [ as p-1/2 is an integer] and hence( p-1)/2 is even number hence p is of the form 4k+1
(C) now let p be the largest prime of the form 4k+1 consider x= (p!)^2+1 . Let q be the smallest prime dividing x . By the previous exercises q> p and q is also of the form 4k+1 hence contradiction. Hence P_1 is infinite
