Step-by-step explanation:
-2, -8/3, -10/3, -4, -14/3
Write as multiples of 1/3.
-6/3, -8/3, -10/3, -12/3, -14/3
This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.
Therefore, the recursive formula is:
aᵢ₊₁ = aᵢ − 2/3, a₁ = -2
We have the following functions:
log2x=5
log10x=3
log4x=2
log3x=1
log5x=4
Let's rewrite each function to solve for x:
x=2^5=32
x=10^3=1000
x=4^2=16
x=3^1=3
x=5^4=625
Answer:
Matching each function with the solution we have:
log2x=5 ----------->32
log10x=3---------->1000
log4x=2------------>16
log5x=4------------>625
We know the measure of one of the angles.Angle b which is 90.
Now we have to find the other two angles.
First we will find angle a.
There are 180 degrees in a straight line.
Sooo...
180-130=50
Angle a will be 50.
There are also 180 degrees in a triangle.
To find the last angle we do this
180-50-71=59
Your answer and the measure of angle c will be 59 or option 3.
1/6.
For any given roll on a four-sided die, there is exactly one roll on a six-sided die (1/6 chance) which will sum to 7.
Since it doesn’t matter what you roll on the four-sided die, the chance is always 1/6 with a fair six-sided die.
One interesting result of this is that only the 6-sided die has the be fair for this result to hold. The 4-sided die can be very biased in any direction and the final result will still be 1/6.
