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
Answer:
A. 2
Step-by-step explanation:
y = 2m + 6
- _2_
_2m_ = _4_
2 2
m = 2
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The probability of losing a data packet is 0.010.
Therefore the probability of successfully sending a data packet (not losing a data packet) is
p = 1 - 0.010 = 0.99
In 100 packet transmissions (independent events), the probability of success is
0.99¹⁰⁰ = 0.3660
The probability of losing a data packet is
1 - 0.366 = 0.6340
Answer:
The probability of resending a data packet is 0.6340
Answer:
new slope = 4/3
Step-by-step explanation:
-3/8 is perpendicular to the new slope
=> new slope = -8/3 * -1/2
= 8/6
= 4/3
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