Given the exponential function:

The starting point is found when x = 0.
So, let's substitute x by 0.

Answer: The starting point is (0, 1.004).
Answer:

Step-by-step explanation:
From the question we are told that:
Height of Eagle 
Angle of depression
Generally the trigonometry equation for diagonal X is mathematically given by





Answer:
Proportion states that the two fractions or ratios are equal
Given the equation: 
By cross multiply we get;

Using distributive property; 

Subtract 0.4 from both sides we get;

Subtract 1.5x from both sides we get;

Divide both sides by 0.1 we get;

Simplify:
x = 56
Therefore, the value of x that satisfy the equation
is, 56
We are given an equation:

This is an equation of a circle. General form of a circle equation is:

Where:
a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle
Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.
From the equation we have:

The greatest distance at which person can be detected is 4ft.
Answer:
hope it helps...
Step-by-step explanation:
The value of the constant of proportionality is k=5k=5
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=ky/x=k or y=kxy=kx
The value of the constant k is equal to the value of the slope
In this problem we have
y=5xy=5x ------> is a linear direct variation
The slope is m=5m=5
therefore
The value of the constant of proportionality is k=5k=5