Which of the following is not an advantage of buying a home? Tax savings Potential Economic Gain Pride in Ownership Lower Initial Cost

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Solve the following equation by factoring. \[ (7 x-4)^{\frac{-2}{3}}-3(7 x-4)^{\frac{-5}{3}}=0 \] Answer

Find the indicated derivative. \[ \frac{d}{d x}\left(-\frac{1}{22}\right) \]

If \( h \sin ^{2} x+\cos ^{2} x=k, a \sin ^{2} y+k \tan ^{2} y=h, 2 \sec ^{2} y=k \sin ^{2} x+1 \) and \( \sin y=\cos y \) show that \( |b|=\frac{\sqrt{2(h+1)}}{2} \) when \( b^{2}=h-a \) and \( k=h-1 \)

a. The mean number of radioactive atoms that decay per day is 72.545 . (Round to three decimal places as needed.) b. The probability that on a given day, 51 radioactive atoms decayed, is (Round to six decimal places as needed.)