Answer:

Step-by-step explanation:
In a triangle the sum of all angle measures is always 180 degrees


degrees
By splitting the isosceles triangle down the middle we can calculate the base
So ∠H = 23°, ∠K = 90°, ∠J = 67°, HJ = 19
With this we can solve for half of the base. the trig function will need to use is sin, since the side opposite of ∠H will be part of the base. 
now we need to rearrange the formula for what we have.


This value is only half of the base, so we need to double it

We write the generic exponential equation:
y = A (b) ^ t
Where,
A: initial population
B: growth rate
t: time in hours.
Substituting values we have:
y = 5 (2) ^ ((1 / 1.5) * t)
For t = 9 hours we have:
y = 5 (2) ^ ((1 / 1.5) * 9)
y = 320 million
For t = 24 hours (one day) we have:
y = 5 (2) ^ ((1 / 1.5) * 24)
y = 327680 million
For t = 2 hours we have:
y = 5 (2) ^ ((1 / 1.5) * 2)
y = 12.5992105 million
Answer:
a) t hours?
y = 5 (2) ^ ((1 / 1.5) * t)
b) 9 hours?
y = 320 million
c) 1 day?
y = 327680 million
d) 2 hours?
y = 12.5992105 million
Answer:

Step-by-step explanation:
let the 3rd side, the hypotenuse, be x
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 2² + 3² = 4 + 9 = 13 ( take square root of both sides )
x = 
Answer:
Two real solutions
Step-by-step explanation:
z=-1.45
z=0.45