So first we would convert 4 1/2 foot lengths into a decimal.
4.5 feet
Now we divide 25 by 4.5
25 ÷ 4.5 = 5.5
So Yancy can cut the board into five 4 1/2 foot lengths because the question says how many can he cut.
Answer:
0.8041
Step-by-step explanation:
We know that
μ=72 and σ=5
and P(65<X<78)
We can determine the Z value as (X-μ)/σ
P( 65<X<78 )=P( 65-72< X-μ<78-72)


To fine the Z values:

From the standard normal tables:

to find P ( Z<-1.4)

From the standard normal tables:

Therefore


Point D (-2,-6)>>(x,-y)>> Point D’(-2,6)
Point D’ (-2,6)>> (-x,y)>> Point D’’(2,6)
Answer:
The inverse for log₂(x) + 2 is - log₂x + 2.
Step-by-step explanation:
Given that
f(x) = log₂(x) + 2
Now to find the inverse of any function we put we replace x by 1/x.
f(x) = log₂(x) + 2
f(1/x) =g(x)= log₂(1/x) + 2
As we know that
log₂(a/b) = log₂a - log₂b
g(x) = log₂1 - log₂x + 2
We know that log₂1 = 0
g(x) = 0 - log₂x + 2
g(x) = - log₂x + 2
So the inverse for log₂(x) + 2 is - log₂x + 2.
Answer: Distributive because 6 has to be multiplied by x and 7