log4(32) = 2.5
Step-by-step explanation:
Given that,
log4(2) = 0.5
To find: log4(32)
32 can be written as 2 power 5
log4(32) = log4(2^5)
= 5 log4(2)
In the logarithms if there is a power it is multiplied and only the log is applied to the base of the powered term.
Hence,
log4(32) = 5log4(2)
We know that log4(2) = 0.5
So,
log4(32) = 5(0.5)
log4(32) = 2.5
Answer:
That is a 45-45-90 triangle next to a 30-60-90 triangle.
So, the height of the left triangle equals 5.
That makes the short side of the 30-60-90 triangle also equal to 5.
In a 30-60-90 triangle, the hypotenuse (or "x") is exactly twice the length of the shortest side.
Therefore, the hypotenuse (or "x") equals 10.
Step-by-step explanation:
Answer:
3rd Option
Step-by-step explanation:
Since the denominator cannot equal 0, x ≠ 5. Therefore, our domain stops and starts again at 5. So our answer is 3rd option.
Answer:
58.5
Step-by-step explanation:
230/4=57.5
57.5+1=58.5
There are 13 cards of each suit.
Picking a heart would be 13/52 which reduces to 1/4
Then replacing the card and picking a club would be the same : 1/4
Picking a heart then a club would be 1/4 x 1/4 = 1/16
Answer: 1/16