Answer:
cos(x) = ???
so the maximum cosine can be is 1 and that happens when x = 0
I'm pretty sure that's what you meant...
Answer:
Step-by-step explanation:
A binary string with 2n+1 number of zeros, then you can get a binary string with 2n(+1)+1 = 2n+3 number of zeros either by adding 2 zeros or 2 1's at any of the available 2n+2 positions. Way of making each of these two choices are (2n+2)22. So, basically if b2n+12n+1 is the number of binary string with 2n+1 zeros then your
b2n+32n+3 = 2 (2n+2)22 b2n+12n+1
your second case is basically the fact that if you have string of length n ending with zero than you can the string of length n+1 ending with zero by:
1. Either placing a 1 in available n places (because you can't place it at the end)
2. or by placing a zero in available n+1 places.
0 ϵ P
x ϵ P → 1x ϵ P , x1 ϵ P
x' ϵ P,x'' ϵ P → xx'x''ϵ P
Answer:
see below
Step-by-step explanation:
5*72*32 is not a prime factorization to begin with because neither 72, nor 32 are primes. A prime factorization for this product would be:
2*2*2*2*2*2*2*2*3*3*5
and the number with this factorization is 11520.
There is a small chance that what you meant to write was this:
in which case the number for this prime factorization is 2205.
Answer:
40%
Step-by-step explanation:
If there are 1200 students in the school and 720 of them are boys that means 480 of them are girls.
I like to do cross multiply and divide so the equation for that would be 480/120 = ?/100
if you cross and multiply 480 by 100 you will get 48000 then if you divide that by 1200 you will get 40 as your missing value.
Im basically just saying 480/1200 = 40%
If you need further help there are plenty of you tube videos on how to cross multiply and divide
Hope this helps
- Please mark brainliest :)
Answer:

Step-by-step explanation:
The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:
--------------------(i)
From the question,
the point is (5, 0, -6)
the plane is x + y + z = 6
Therefore,
a = 5
b = 0
c = -6
m = 1
n = 1
t = 1
r = 6
Substitute these values into equation (i) as follows;




Therefore, the shortest distance from the point to the plane is 