The equation for volume of a sphere is (4/3)(pi)(r)^3. So you would plug in he radius 9 into the equation. It would simplify to equal (4/3)(pi)(729). It simplifies further to equal (972)(pi)
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Answer:
2: option four
3: option four
Step-by-step explanation:
they are both option four
Answer:
-17 z - 6 y - 7 x + -18
Step-by-step explanation:
Simplify the following:
x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20
Hint: | Group like terms in x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20.
Grouping like terms, x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20 = (-7 z - 10 z) + (6 y - 12 y) + (x - 8 x) + (2 - 20):
(-7 z - 10 z) + (6 y - 12 y) + (x - 8 x) + (2 - 20)
Hint: | Combine like terms in -7 z - 10 z.
-7 z - 10 z = -17 z:
-17 z + (6 y - 12 y) + (x - 8 x) + (2 - 20)
Hint: | Combine like terms in 6 y - 12 y.
6 y - 12 y = -6 y:
-17 z + -6 y + (x - 8 x) + (2 - 20)
Hint: | Combine like terms in x - 8 x.
x - 8 x = -7 x:
-17 z - 6 y + -7 x + (2 - 20)
Hint: | Evaluate 2 - 20.
2 - 20 = -18:
Answer: -17 z - 6 y - 7 x + -18
The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:
S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.
