Answer:
a) Not a function
b) It is a function
c) It is a function
Step-by-step explanation:
a) f(S) is not completly well defined, becuase if the bistring has multiple zeros, you need to pick one and there is not specified method in how you would do so. Another reason for which f is not well defined as a function is that for a bistring with only 1's, f is not defined because there is no zero.
b) This is a function. f(S) returns a concrete and unique integer number for each bistring S. If the bistring has only zeros, the f(S) = 0.
c) This is well defined as a function. It compensates for the failures of the first definition:
- If multiple zeros appears in S, you pick the first one, so there is one possible value for f(S)
-If no zeros appear, f is still well defined because it takes the value 0, as specified in the definition.
Answer:
1 1/15
Step-by-step explanation:
64 minutes is the same thing as 64/60 minutes.
64 goes into 60 once. 64-60=4, so that would be your numerator. You would keep the denominator as 60, since it's still out of 60.
If you put those numbers together your fraction would be
1 and 4/60, if you want to simplify, 60/4=15, so 1 and 1/15 would be your fraction.
Hope this helped!
Answer:
40°
Step-by-step explanation:
m∠ABD = m∠DBC because they’re being split equally among m∠ABC
Therefore, m∠ABD = 40°
Yay, derivitives
I'mma ignore that x is the shorter side because I don't know which one has to be shorter yet
we need to find the max area
but with 3 sides
area=LW
let's say the sides are z and y
zy=area
and the relatiionship between them is
hmm,
z+2y=1200
because one side has no fencing
so
z+2y=1200
solve for z
z=1200-2y
sub for z in other
(1200-2y)(y)=area
expand
1200y-2y²=area
take derivitive
1200-4y=dy/dx area
max is where dy/dx goes from positive to negative
solve for where dy/dx=0
1200-4y=0
1200=4y
300=y
at y<300, dy/dx<0
at y>300, dy/dx>0
so at y=300, that is the max
then
z=1200-2y
z=1200-2(300)
z=1200-600
z=600
so then
z=600
y=300
300<600
so the shorter side would be y
so then we see our choices and noticed that
erm
I think it is f(x)=1200x-2x²
takind the derivitive yeilds none of the others
so ya, you are right
Answer:
1504
Step-by-step explanation:
47*2^25/5
47*2^5
47*32=1504
