This is essentially the game mastermind if you want to look up more about it
the first 2 guesses have a number with the correct value and in the right position "bulls", all three guesses start with a 1, so if 1 were correct in the first position the 3rd guess would have a "bull" too
this means either the 6 or 2 from the first guess and the 7 or 5 from the second are correct in the 2nd or 3rd position
in the 3rd guess the 3rd number is a 5 without a "bull" so the 5 in the 2nd guess can't also be the "bull". Because 1 and 5 can't possibly be bulls the only number left is 7 so the code is _7_
Because of this we also know that in the first guess the 2 must be the "bull", as in the second spot only a 7 would be correct and the 1 is incorrect anyways -> the code is _72
"Cows"=right number at wrong position only appeared in the guesses 2 and 3 and we know it's neither the numbers 1 (because of guess 1), 7 (becuse it is a bull in 2) and 6 (because it is only in 3 and not both 2 and 3) -> the only number in guess 2 and 3 left is 5
-> the code is 572
Answer:
(sin x)^2*(sec x) is positive in QII
Step-by-step explanation:
(sin x)^2 is always 0 or positive. Here x lies in QII.
sec x is positive when the adjacent side is positive and negative when the adjacent side is negative. In QII the adjacent side is positive.
In summary, (sin x)^2*(sec x) is positive in QII
Not your friend you cause if you add 5 ft+1 5/8 it’s gonna be more than 5.)
Answer:
The value of k is greater than or equal to 0, i.e. k≥7.
Step-by-step explanation:
The given equation is
The value of k must be a positive integer because k! is defined for k≥0, where k∈Z.
Subtract 48 from both the sides.
Using ![[\frac{r^m-1}{r-1}=r^{m-1}+r^{m-2}+...+1]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Br%5Em-1%7D%7Br-1%7D%3Dr%5E%7Bm-1%7D%2Br%5E%7Bm-2%7D%2B...%2B1%5D)
, we get
Divide both sides by 48k.
Note: The value of m can be 0 or 1.
The value of k is positive integer, so the right hand side of the above equation must be a positive integer.
Since RHS of the equation is positive integer, therefore (k-1)! is completely divisible by 48.
Add 1 on both sides.
Therefore the value of k is greater than or equal to 0.
Answer: 1st blank: 7.5
2nd blank: 80%
Step-by-step explanation:
