Answer:
a
Step-by-step explanation:
The base angles PHJ and PJH are congruent , meaning ΔaPHJ is isosceles and so
HP = JP, thus
3x - 6 = x + 2 ( subtract x from both sides )
2x - 6 = 2 ( add 6 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Hence
HP = 3x - 6 = (3 × 4) - 6 = 12 - 6 = 6 → a
Answer:
Option D 
Step-by-step explanation:
In this problem we have a exponential function of the form

where
F(x) -----> the rabbit population
x ----> the number of weeks
a is the initial value
b is the base
In this problem we have
a=150 rabbits
b=1-r
r=15%=15/100=0.15
so
b=1-0.15=0.85
substitute the values

Answer:
15 years and 8 months
Step-by-step explanation:
I used the formula for compound interest as shown below and solved for the unknown, time.
Since our interest is compounded annually (So once a year) our m value is 1.
.5 * .5 *.5 = 1/8
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-
the probability to have head is .5 so the probability of tails 1-.5
-
then the first time is head
the second time is head
the third time is tail
so
.5 * .5 *.5 = 1/8