Answer:
1436.75504 or 1372/3π cm^3
Step-by-step explanation:
The volume of a sphere can be found using:
V = 4/3 πr^3
We know the radius is 7, so we can substitute 7 in for r
V = 4/3 π7^3
Evaluate the exponent
V = 4/3 π 343
If we want the answer in terms of pi, multiply the two other numbers, that are not pi: 4/3 and 343.
v= (4/3*343)π
v=1372/3π
If we want an exact answer, multiply 1372/3 and pi
v=1436.75504
So, the volume is 1436.75504 or 1372/3 π cm^3
Answer:
Step-by-step explanation:
Explanation
6 sprinters are in a race. Any one of the 6 could win. None of them can win 2 medals. So the first result is 6
5 runners remain. The second medal goes to any one of the 5
4 runners remain after 1 of the 5 have been choosen. Any one of the 4 could win.
Answer 6 * 5 * 4 = 120
There are 120 ways of awarding 3 medals to 6 people.
It would be 20% because if you take 100 times 1/5, which is the same as 100/5, you would get 20, which is 1/5.
Answer:
x = - 3 with multiplicity 2
Step-by-step explanation:
f(x) = (x - 3)(x + 3)(x + 3) = (x - 3)(x + 3)²
Equating each factor to zero and solving for x
x - 3 = 0 ⇒ x = 3 with multiplicity 1
x + 3 = 0 ⇒ x = - 3
x + 3 = 0 ⇒ x = -3
Thus x = - 3 has multiplicity of 2
The fact that the factor is squared gives the multiplicity
(x + 3)³ has root - 3 of multiplicity 3
