Which of the following have a total of 8 possible outcomes? Check all that apply.
tossing a coin and spinning a spinner with 4 different sections
pulling two socks from a drawer containing two black socks, two brown socks, and two blue socks, with
replacement
the answers to 3 true/false questions
ordering a pizza that comes in 3 sizes, and choosing 1 of 5 toppings
rolling a number cube and tossing a coin

tossing a coin and spinning a spinner with 4 different sections

pulling two socks from a drawer containing two black socks, two brown socks, and two blue socks, with

replacement

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: