Answer:
a
Step-by-step explanation:
Function is p(x)=(x-4)^5(x^2-16)(x^2-5x+4)(x^3-64)
first factor into (x-r1)(x-r2)... form
p(x)=(x-4)^5(x-4)(x+4)(x-4)(x-1)(x-4)(x^2+4x+16)
group the like ones
p(x)=(x-4)^8(x+4)^1(x-1)^1(x^2+4x+16)
multiplicity is how many times the root repeats in the function
for a root r₁, the root r₁ multiplicity 1 would be (x-r₁)^1, multility 2 would be (x-r₁)^2
so
p(x)=(x-4)^8(x+4)^1(x-1)^1(x^2+4x+16)
(x-4)^8 is the root 4, it has multiplicity 8
(x-(-4))^1 is the root -4 and has multiplicity 1
(x-1)^1 is the root 1 and has multiplity 1
(x^2+4x+16) is not on the real plane, but the roots are -2+2i√3 and -2-2i√3, each multiplicity 1 (but don't count them because they aren't real
baseically
(x-4)^8 is the root 4, it has multiplicity 8
(x-(-4))^1 is the root -4 and has multiplicity 1
(x-1)^1 is the root 1 and has multiplity 1
Prob of tails times prob of rolling more than 3
0.5 × 0.5 = 0.25
25%
49 x 138 = 6762
37 x 49 =1813
6762 - 1813 = 4949 so your answer is 4949.
This is a decay problem,
The equation is written as start value x (1 - rate)^tike
Using the information given in the problem:
a) Total = 120(1-0.12)^Hours
b) Replace hours with 19 and solve:
Total = 120(1-0.12)^19
Total = 120(0.88)^19
Total = 10.57674 mg
Round the answer as needed.
