The answer would be 2 miles.
Answer:
The slope of the line would be 0.00910 in a logarithm graphic.
Step-by-step explanation:
Statement is incomplete. The correct sentences are:<em> The increase in the number of humans living on Earth (N, as measured in billions) with time t (as measured in years since 1800) is modeld by the following function: N = 0.892e^0.00910t. If you were to graph in ln (N) versus t, what would be the slope of the line?</em>
Let be 
, where 
is the number of humans living on Earth, measured in billions, and 
is the time, measured in years since 1800. As we notice, this is an exponential function and its slope is not constant and such expression have to be linearized by using a logartihm graphic. We add logarithms on each side of the formula and simplify the resulting expression by means of logarithmic properties:
In a nutshell, the slope of the line would be 0.00910 in a logarithm graphic.
Answer:
A. 9.8 ft
Step-by-step explanation:
first convert the degrees to radians:
80° x (pi/180) ≈ 1.396
arc length = r x θ (always in radians)
= 7 x 1.396
= 9.772 ≈ 9.8 ft
Answer:
Problematic x is x = 1
Step-by-step explanation:
Equation:
xy= 2x + y + 1
xy - y = 2x + 1
y(x-1) = 2x + 1
y = (2x+1)/(x-1)
The problematic x is such that when the denominator of the function is 0
x - 1 = 0
x = 1 (the problematic x)
So the domain of f is: x is the subset of R (real number) with the exception of x =/ 1 (x not equal to 1)
To prove this, we can plot the graph and in the graph we can see that as the value of x approaches from negative values to 1, y value will approaches negative infinity, and as the value of x approaches from large positive numbers, y value approaches infinity.
In other words, we'll see an assymptote at x=1
To prove that it is a function, we can do vertical line test by drawing vertical lines accross the graph. We'll see that each line crosses the equation line once hence proving the equation as a function
