Step-by-step answer:
Let's attack the left side:
log_8 12 = log (base 8) 12 = log(12)/log(8) = 1.1949875 (approx.)
Next solve
log_8 12 = x-2
log(12)/log(8) = x-2
x = 2 + log(12)/log(8)
= 3.195 (to one thousandth)
Answer:
64
Step-by-step explanation:
Using the rule of logarithms
x = n , then
x = 
, thus
x = 3
x = 4³ = 64
Answer:
Step-by-step explanation:
we are to distinguish between
dependent variable independent variable
vs
response variable explanatory variable
An independent variable is one which is not affected by any other variable for example, the amount we spend, the time we study ,etc.
An explanatory variable is a type of independent variable but not fully independent but depends on some factors.
Though explanatory and independent variables are practically used interchangeably the main difference is explanatory variable is not independent but explains the variations in the response varaible.
Answer:
y = 2x + 3
Step-by-step explanation:
A line parallel to y = 2x has exactly the same slope but a different y-intercept, b.
Start with y = mx + b, and replace m with 2, y with -1 and x with -2:
-1 = 2(-2) + b, or
-1 = -4 + b.
Then b = 3, and the desired equation is y = 2x + 3
C=2pir
A=pir^2
45=pir^2
divide both sides by pi (aprox pi=3.141592)
14.32394785=r^2
sqrt both sides
3.784699176=r
sub
C=2pir
C=(2)(pi)(3.784699176)
aprox pi=3.141592
C=23.779961311m
