Find the length of a rectangular work area if the perimeter is 184 in and the width is 28 in. Use the formula \( P=2(L+W) \) The length of the rectangular work area is \( \square \) in.

Simplify the following expression fully \( \frac{5 x^{2}+14 x-3}{x^{2}-9} \)

Find the critical values \( \chi_{1-\alpha / 2}^{2} \) and \( \chi_{\alpha / 2}^{2} \) for a \( 98 \% \) confidence level and a sample size of \( n=10 \). \( \chi_{1-\alpha / 2}^{2}=\square \) (Round to three decimal places as needed.)

j) \( \frac{2 x+7}{4 x+3}=\frac{1}{4} \)

12. Use a calculator and the formula \( A=P e^{n} A= \) \( P e^{r t} \) to determine the value of an investment of

Trova il valore del parametro \( k \) per cui il triango- lo di vertici \( A(2 k ; 3-k), \quad B(k-5 ;-k) \) e \( C(4-k ;-7) \) ha il baricentro di ascissa 1.