Answer:

Step-by-step explanation:
In this problem we have a exponential function of the form

where
x is the time in hours
y is the numbers of bacteria
a is the initial value
b is the base
r is the rate of growth
b=(1+r)
we have that

For x=8, y=3,300
substitute in the exponential function

solve for b

![b=\sqrt[8]{1.1}](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B8%5D%7B1.1%7D)

Find the value of r

The equation is equal to

For x=12 hours
substitute the value of x in the equation


Answer:
5 sqrt(3) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 30 = x/15
15 tan 30 = x
15 ( sqrt(3)/3) = x
5 sqrt(3) =x
Answer:
3.5
Step-by-step explanation:
This is a 30-60-90 triangle so the hypotenuse is equal to 2 times
.
≈ 3.5
42 because you take 46 and add 42 it will be 88 and the one sister is still 2 years older