5 questions
1 answer:
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Answer:
The missing value is 128
Step-by-step explanation:
we know that
The equation of the exponential function is of the form
where
a is the initial value (value of the function when the value of x is equal to zero)
b is the base
r is the rate
b=(1+r)
In this problem , looking at the table, we have that the number of bacteria is doubled every second
so
substitute in the formula
where
f(x) is the number of bacteria
x is the time in seconds
For x=4 sec
substitute
Answer:
26.2655 miles
Step-by-step explanation:
Whenever possible, draw a diagram. I've attached a picture of the balloon and the lines of depression (not drawn to scale, of course).
As you can see, the angles of depression form alternate interior angles with the ground (angles of elevation). So these angles are also 13° and 39°.
We can use the tangents of these angles to find the base lengths of the two triangles that are formed.
tan 13° = 4 / a
a = 4 / tan 13°
tan 39° = 4 / b
b = 4 / tan 39°
So the total distance is:
a + b
= 4 / tan 13° + 4 / tan 39°
≈ 22.2655
