Answer:
C) (5, ∞)
General Formulas and Concepts:
<u>Alg I</u>
- Range is the set of y-values that are outputted by function f(x).
Step-by-step explanation:
According to the graph, we have a horizontal asymptote at y = 5. Therefore, the graph never actually <em>touches/reaches</em> the y-value 5. Therefore, 5 is not included in our range:
(5, ∞) or y ≥ 5
Answer:
y(t)= 10 (2)^t
Step-by-step explanation:
If t is the number of years given then the expected number can be found by
y(t)= 10 (2)^t
where t takes the value 0,1,2,3, and so on.
Putting t= 0
y(t)= 10 (2)^t
y(0)= 10 (2)^0
y(0)= 10 For the start the number of deer are 10.
Putting t= 1
y(t)= 10 (2)^t
y(1)= 10 (2)^1
y(1)= 20 After 1 year it has doubled to 20
Putting t= 2
y(t)= 10 (2)^t
y(2)= 10 (2)^2
y(2)= 40 After 2 years it has again doubled to 40
Putting t= 3
y(t)= 10 (2)^t
y(3)= 10 (2)^3
y(3)= 80 After 3 years it has again doubled to 80
Using the given information, the height of the shorter cone is 6.81 cm
<h3>Calculating volume of a cone </h3>
From the question, we are to determine the height of the shorter cone.
First, we will calculate the volume of the first cone
Using the formula for calculating the volume of a cone,
Where V is the volume
r is the radius
and h is the height
From the given information,
r = 8.5 cm
h = 10 cm
Then,
cm³
Now, for the shorter cone
r = 10.3 cm
Since the two cones have the exact same volume, we can write that
h = 6.81 cm
Hence, the height of the shorter cone is 6.81 cm.
Learn more on Calculating volume of a cone here: brainly.com/question/12004994
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The correct answer is 541.2 to be exact
