Answer:top right
Step-by-step explanation:
6^-2÷6^6 = 6^-2-6=6^-8
Whixh will give you 1/6^8
Answer:
a) 560 (as you know)
Step-by-step explanation:
There are 7C3 = 35 ways to choose 3 full-time days from 7.
There are 2^4 = 16 ways to choose a half-day each day from the remaining 4 days.
The total number of possible schedules is ...
35×16 = 560
_____
nCk = n!/(k!(n-k)!)
7C3 = 7·6·5/(3·2·1) = 7·5 = 35
Multiplication gives
us distribution over the products, so
(a′+b+d′) (a′+b+c′+f′)
= a′ (a′+b+c′+f′) + b (a′+b+c′+f′) + d′ (a′+b+c′+f′)
And then you can
then distribute again each of the factors on the right.
Then you should simplify
in any given number of ways. To take as an example, you have a′b and ba′,
and since a′b + a′b = a′b + a′b = a′b, you can just drop one of them.
Since bb = b, you can rewrite bb as b and etc.
So in the end
part we should arrive at a sum of products. Then you can just invert. For
example, if at the end you had:
p′ = a′b + bc′ +
d′f ′+ a′f′
Then we would
have
p = p′′ = (a′b +
bc′ + d′f′ + a′f′)′ = (a′b)′⋅(bc′)′⋅(d′f′)′⋅(a′f′)′
Then applying De
Morgan's laws to each of the factors, e.g., (a′b)′ = a+b′, so we would
have
p = (a+b′)⋅(b′+c)⋅(d+f)⋅(a+f)
which is a
product of sums.
Answer:
8 nickels
Step-by-step explanation:
Let n be the number of nickels.
4: (2+ 6 + 4 + n) = 1:5
4÷(12 + n) = 1÷5
4 x 5 = 1 x (12 + n)
20 = 12 + n
n = 8
the discriminant b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0
13x^2-16x = x^2 -x
we need to get in it the standard form
subtract x^2 from each side
12x^2 -16x = -x
add x to each side
12x^2 -15x = 0
12x^2 -15x -0 =0
a=12 b=-15 c=0
b^2 -4ac
the discriminant = b^2
b^2 = (-15)2 = 225
