Answer:
r = 8.2
Step-by-step explanation:
5r – 10 = –51
5r = –41
r = 8.2
The diagram that represent the statement is a Venn diagram in which:
An inner circle labeled "insects" is completely included inside an outer circle which is labeled "has wings".
In such diagram all the insects are inside the bigger set of things that have wings. That means that all the insects have wings but not all the things that have wings are insects.
That is exactly what the proposition if it is an insect then it has wings.
As per the proposition, having wings is a necessary condition to be insect, but it is not sufficient.
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
Answer:
45
Step-by-step explanation:
Substitute 5 for both y values
4 x (5) + (5)^2
