Answer:
- 4 and 3
Step-by-step explanation:
Given
f(n) = 7n - 11
To evaluate f(1) and f(2) substitute n = 1 and n = 2 into f(n), that is
f(1) = 7(1) - 11 = 7 - 11 = - 4
f(2) = 7(2) - 11 = 14 - 11 = 3
The equation of circle is:
(x-a)^2+(y-b)^2=r^2 where C(a, b) is the center.
In order to find r you have to find the distance between C(-2, 1) and let's say A(-4, 1)
The formula for distance is:

r = 2
The equation of circle is
(x+2)^2+(y-1)^2=4
I hope that this is the answer that you were looking for and it has helped you.
Option B: 5 is the value of f(3)
Explanation:
The equation of the piecewise function is given by

We need to find the value of 
The value of the function f can be determined when
by identifying in which interval does the value of
lie in the piecewise function.
Thus,
lies in the interval
, the function f is given by

Substituting
in the function
, we get,


Thus, the value of
is 5.
Therefore, Option B is the correct answer.
Answer:
Step-by-step explanation:
square-based pyramid:
volume V = (⅓)b²h
= (⅓)7²·16
≅ 261.3 ft³
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Can't help with question 3. I haven't learned triangle-based pyramids.
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cone:
volume V = ⅓πr²h
= ⅓π17²·20
= 6052.8 yd³
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can't help with question 7. Never did this kind of pyramid.