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
Answer:
35.9 grams
Step-by-step explanation:
We use the formula:
Where
q is heat released
m is mass
C_p is the constant 2.44
ΔT is change in temperature
We put the info in the formula and solve for m (mass):
The mass of ethanol is 35.9 grams
Answer:
<h2> abolute measure </h2>
- it is quantity measured and same unit data and also as an original data it's is an original data expressed and unit of series
<h2>range </h2>
- largest value difference to smallest value in data
<h2>Quartiles </h2>
- it is an semi and half of range
<h2>mean </h2>
- also as arithmetic mean as more deviation of range
Answer:
I think the option B suits the most
Step-by-step explanation:
Answer:
not an answer but how do you attach images because it would be more useful
Step-by-step explanation:
