Suppose you have a light bulb that emits 50 watts of visible light. (note: this is not the case for a standard 50-watt light bulb, in which most of the 50 watts goes to heat and only about 5-7 watts is emitted as visible light.) how far away would you have to put the light bulb for it to have the same apparent brightness as alpha centauri a in our sky? (hint: use 50 watts as l in the inverse square law for light, and use the apparent brightness given above for alpha centauri a. then solve for the distance.)

Find the solution set of this inequality. select the correct graph. |8x+16|> 16

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12