Un fuster té tres llistons de fusta de \( 6 \mathrm{~cm}, 7 \mathrm{~cm} \) i 8 cm , i vol tallar de cada llistó un tros (de la mateixa longitud) de manera que amb els nous llistons pugui formar un triangle rectangle. Quant ha de mesurar el tros que ha de tallar de cada llistó?

An arithmetic sequence is given below. \( -5,-2,1,4, \ldots \) Write an explicit formula for the \( n^{\text {th }} \) term \( a_{n} \).

For the sequence \( a_{n}=a_{n-1}+a_{n-2} \) and \( a_{1}=3, a_{2}=4 \), its first term is its second term is its third term is its fourth term is its fifth term is

You deposit \( \$ 300 \) each month into an account earning \( 3 \% \) interest compounded monthly. a) How much will you have in the account in 30 years? b) How much total money will you put into the account? \( \$ 100214.82 \) c) How much total interest will you earn? \( \$ 208214.82 \)

Evalua el \( \operatorname{Lam}_{x \rightarrow-2} \frac{5 x^{2}+10 x}{x^{2}-6 x-16} \)

Factor the trinomial. \( 3 x^{2} z+33 x z+90 z \)