Vanessa tried to solve an equation step by step. \qquad\begin{aligned} -12&=4(f-6) \\ -12&=4f-24&\green{\text{Ste p } 1} \\ 12&=4f&\blue{\text{Step } 2} \\ 4&=f&\purple{\text{Step } 3} \end{aligned} −12 −12 12 4 =4(f−6) =4f−24 =4f =f Step 1 Step 2 Step 3 Find Vanessa's mistake

Suppose a pendulum is l meters long. the time,t,in seconds that it tales to swing back and forth once is given by t=2.01

Do social recommendations increase ad effectiveness? a study of online video viewers compared viewers who arrived at an advertising video for a particular brand by following a social media recommendation link to viewers who arrived at the same video by web browsing. data were collected on whether the viewer could correctly recall the brand being advertised after seeing the video. the results are given below.correctly recalled the brandarrival 409153browsing20484b. conduct the hypothesis test, using the 0.025 level of significance.what is the value of the test statistic? χ2stat=what is the p-value? p-value=is this value significant atα=0.025?

1) you deposit $2,500 in an account that earns 4% simple interest. how much do you earn in eight years?