Answer:
The distance between the observer and the balloon is increasing at a rate 8 feet per second.
Step-by-step explanation:
Let be A the point at which the observer is located, O the initial location of the weather balloon and B is the current location above the ground. Since the weather balloon is rising vertically and the distance between its initial position and the position of the observer, we can represent all distances by the Pythagorean Theorem:
(1)
Where:
- Distance between observer and current position of the weather balloon, in feet.
- Current height of the weather balloon above ground, in feet.
By Differential Calculus, we derive an expression for the rate of change of the distance between observer and current position of the weather balloon (
), in feet per second:
(2)
Where 
is the rate of change of the height of the weather balloon, in feet per second.
If we know that 
and 
, then the rate of change of the distance between the observer and the balloon is:
The distance between the observer and the balloon is increasing at a rate 8 feet per second.
Answer: you can use 260 min, 60 min at a fixed price ($20) and extra 200.
Step-by-step explanation:
C(x) = 20 + 0.20(x − 60)
C(x) ≤ 60
20 + 0.20(x − 60) ≤ 60
0.20(x − 60) ≤ 60 - 20
0.20x - 12 ≤ 40
0.20x ≤ 40 + 12
0.20x ≤ 52
x ≤ 52/0.2
x ≤ 260
This way, you can use 260 min, 60 min at a fixed price ($20) and extra 200.
<h3>
Answer:</h3>
Graph (0, 25) and (50, 0)
<h3>
Step-by-step explanation:</h3>
Intercept form of an equation for a line is ...
- x/(x-intercept) + y/(y-intercept) = 1
Dividing each equation by the constant on the right can put it into this form.
<em>First equation</em>:
<em>Second equation</em>:
This tells you the second equation can be graphed using the points ...
... (50, 0) and (0, 25) . . . . . matches the second selection
Answer:
Value of x will be 0.1515
Step-by-step explanation:
We have given the equation 
We have top fond the value of x using exponent and logarithmic property
So
Taking log both side
x = 0.1515
