Step-by-step explanation:
every flip has 2 possible outcomes.
1 flip has 2.
2 flips have 2×2 = 2² = 4
3 flips have 2×2×2 = 2³ = 8
and so on.
the number of possible combinations flipping a coin n times is
C(n) = 2^n
for 10 flips
C(10) = 2¹⁰ = 1024
possible outcomes or combinations.
The answer is d , 0.25 inches per month
Answer:
a.y'=-1
b.y'=-1
c.Yes
Step-by-step explanation:
We are given that consider a function

Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable
Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.
a.
Differentiate w.r.t x then we get




b.


Differentiate w.r.t x then we get


When we substituting the value of y obtained from part b into a solution of part a then we get

Hence, solutions are consistent.
If you need further help on how they got the answer, this equation will take more time, but it will also help you understand these types of problems. Part÷Whole=Percent÷100
Part= X because it is what you are trying to find.
Whole=250 because it is what you are taking the percentage of.
Percent=80
Now you have:
X÷250=80÷100
Set this up in fraction form and cross multiply.
You get:
100x=250×80
250×80=20,000
100x=20,000
X=200