Answer: V = 100.48
Step-by-step explanation:
To get this value, you need to know the formula of the volume of the cone, which is:
V = π*r^2*h / 3
Where:
r: cone radius
h: height
π: value of pi which is 3.14
Now the radius, is half the diameter of base of the cone so:
r = 8 / 2 = 4 units
Now we have all the data needed to get the volume of the cone, let's use the expression given above:
V = 3.14 * (4)^2 * 6 / 3
V = 3.14 * 16 * 6 / 3
V = 301.44 / 3
V = 100.48
Answer:
x > -6
Step-by-step explanation:
Move 6 to the other side:
0.5x > -3
x > -6
Answer:
18
Step-by-step explanation:
Answer:
B.) y=csc x
Step-by-step explanation:
The cosecant function has a minimum magnitude of 1, so its range excludes any values in the range -1 < y < 1.
y = csc(x) . . . has a range that does not include -0.8
The value of f –1(13) is 4
<h3>How to determine the inverse value?</h3>
The table of values is given as:
x –4 0 2 5 9 13
f (x) –11 1 7 16 28 40
A linear function is represented as:
y = mx + b
Where b represents the y-intercept and m represents the slope
From the graph, when x = 0, y = 1.
This means that b = 1
So, we have
y = mx + 1
Also from the graph, when x = 2, y = 7.
So, we have:
7 = 2m + 1
Subtract 1 from both sides
7 - 1 = 2m + 1 - 1
Evaluate the difference
6 = 2m
Rewrite the above equation as:
2m = 6
Divide both sides of the equation by 2
m = 3
Substitute m = 3 in y = mx + 1
y = 3x + 1
The notation f –1(13) implies that y = 13
So, we have
13 = 3x + 1
Subtract by 1
3x = 12
Divide by 3
x = 4
Hence, the value of f –1(13) is 4
Read more about linear functions at:
brainly.com/question/4025726
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