Question:
Which expression is equivalent to 144^(3/2)
Answer:
1728
Step-by-step explanation:
The options are not well presented. However, this is the solution to the question.
Given:
144^(3/2)
Required:
Find Equivalent.
We start my making use of the following law of logarithm.
A^(m/n) = (A^m)^1/n
So,
144^(3/2) = (144³)^½
Another law of indices is that
A^½ = √A
So,
144^(3/2) = (144³)^½ = √(144³)
144³ can be expanded as 144 * 144 * 144.
This gives
144^(3/2) = √(144 * 144 * 144)
The square root can then be splitted to
144^(3/2) = √144 * √144 * √144
144^(3/2) = 12 * 12 * 12
144^(3/2) = 1728.
Hence, the equivalent of 144^(3/2) is 1728
It is B just put it in calculator and abs divided
(x-h)^2 + (y-k)^2 = r^2
r=3
(x-h)^2 + (y-k)^2 = 3^2
the center lies on the y-axis --> h=0
x^2 + (y-k)^2 = 3^2 = 9
expand
x^2 + y^2 -2ky + k^2 = 9
x^2 + y^2 -2ky + (k^2 - 9) = 0
compare to general form
A=1 , B=1 and C =0
D= -2k and E=k^2 - 9
Answer:
A and C
Step-by-step explanation:
Nadine and Trevor both conducted an experiment but Nadine conducted with four possible outcomes and Trevor doubled the trials, therefore, Trevor will have more experimental outcomes than Nadine because he doubled the trials. Moreover, Trevor's experimental probability is more likely closer to theoretical probability than Nadine's, therefore option 'A' and 'C' are correct.
