The meaning of the horizontal asymptote for the given function is that;
The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses
We are told the increase in a person's body temperature above 98.6°F can be modeled by the function;
T(t) = 4t/(t² + 1)
Where;
t represents the time elapsed
Now, let us find a way to simplify the function so that t at the numerator is removed.
Thus, we will now have;
4t/(t² + 1) = 4/(t + (1/t))
To get the horizontal asymptote, we have to find the limit of the function as t approaches infinity.
Thus;
Lim t ➡ ∞ gives;
T(∞) = 4 × 1/(∞ + (1/∞))
T(∞) = 4 × 0
T(∞) = 0
This means that y = 0 is the horizontal asymptote of the function.
Thus, in conclusion The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses
Read more on horizontal asymptote at; brainly.com/question/8493280
6x^2 - 19x - 55 = 6x^2 -30x + 11x - 55 = 6x(x - 5) + 11(x - 5) = (6x + 11)(x - 5)
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Answer:
aₙ = -2aₙ₊₁
Step-by-step explanation:
According to the sequence given 16, -8, 4, ...
a1 = 16
a2 = -8
a3 = 4
From the values, we can conclude thst;
a1 = -2(-8)
Since a2 = -8, then;
a1 = -2(a2)
Similarly
a2 = -2(4)
a2 = -2a3
The subsequent sequence are;
a3 = -2a4
The nth term will ne;
aₙ = -2aₙ₊₁
Hence the required recursive function is aₙ = -2aₙ₊₁
Answer:
A
Step-by-step explanation:
use both points to find the slope using the equation
y2-y1/x2-x1, so , -2-4/2-0 = -6/2 = -3. slope or m = -3
then the y int can be any y point, so either -2 or 4. in this case they used 4.
From right triangle trigonometry, we have the following:
,
where the "opposite side" means the opposite side to angle with measure
, and "adjacent side" means the adjacent side to angle with measure
.
is a constant which can be found using a calculator.
In the calculator of the pc press: view - scientific - 35 - tan.
This gives
Thus, back in the equation
we substitute as follows and solve:
Answer: 8.4 cm
