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Acompany that manufactures and sells guitars made changes in their product range. from the start they had 20 models. then they reduced the number of models to 15. as a result, the company enjoyed a 10% increase in turnover. - how much did the stock level change? in (%)

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

The two box p digram the two box plots show the data of the pitches thrown by two pitchers throughout the season. which statement is correct? check all that apply. pitcher 1 has a symmetric data set. pitcher 1 does not have a symmetric data set. pitcher 2 has a symmetric data set. pitcher 2 does not have a symmetric data set. pitcher 2 has the greater variation. ots represent the total number of touchdowns two quarterbacks threw in 10 seasons of play