The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)
<h3>What are logarithms?</h3>
As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms
<h3>How to rewrite the number as a logarithm?</h3>
The number is given as:
x = -3
The base of the logarithm is given as:
Base = 2
To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2
This is represented as:
Number =2^-3
Apply the power rule of indices
Number =1/2^3
Evaluate the exponent
Number = 1/8
Evaluate the quotient
Number = 0.125
Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)
Read more about logarithm at:
brainly.com/question/20785664
#SPJ1
You would need to use the pythagorean theorum which is would be 8 squared +x squared = 15 squared
The answer is: Find the mean of the differences with the other numbers in the set<span>. Add the squared differences and then divide the total by the number of items in </span>data<span> in your </span>set; t<span>ake the square root of this mean of differences to </span>find<span> the standard </span>deviation.
To know how many gumballs will fit in the machine, the
volume of the minature and the machine should be calculated. Volume of sphere:
V = (4/3) pi* r^3
Volume of the machine r = 6 in
V = (4/3) pi* 6^3 = 904.77 in3
Volume of the miniature gumballs
V = (4/3) pi* (1/3)^3 = 0.1551 in3
Divide the two volume to get the number of gumballs that can
fill the machine
904.77 in3/ 0.1551 in3 = 5832
<span> </span>