61. Bake-lite Cake Company conducted cooking trials for a new sugar substitute. They now need to conduct a proximate analysis in order to A. control variables to ensure accurate results. B. determine the percentage of each ingredient. C. evaluate the new sugar substitutes. D. publish the test results.

Soit la matrice \( A=\left(\begin{array}{lll}0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0\end{array}\right) \). 1. Vérifier que \( A^{2}=A+2 I \). En déduire que \( A \) est inversible et déterminer son inverse. 2. Montrer que pour tout \( n \in N \), il existe deux réls \( u_{n} \) et \( v_{n} \) tels que \( A^{n}=u_{n} A+v_{n} I \). On préciscra les relations de récurrence entre \( u_{n+1}, v_{n+1} \) et \( u_{n}, v_{n} \). 3. On pose \( \alpha_{n}=2 u_{n}+v_{n} \) et \( \beta_{n}=u_{n}-v_{n} \). Reconnaitre les suites \( \alpha \) et \( \beta \) En déduire, pour tout \( n \in N, u_{n} \) et \( v_{n} \), puis \( A^{n} \) en fonction de \( n \).

c. How should the principal round to estimate how much more money the school needs to its goal? Explain.

34. Uma pirâmide quadrangular regular, de 7 cm de altura, tem as arestas da base medindo 2 cm Com relação à essa pirâmide, determine a: a) medida do apótema da base; b) medida do apótema da pirâmide; c) medida da aresta lateral; d) área da base; e) área lateral; f) área total.

The drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup fee of \( \$ 40 \). There are 21 students in the drama club. If there are 21 students in the club, and the \( t \)-shirt order costs a total of \( \$ 187 \), how much does each \( t \)-shirt cost? \( \$ 5 \) \( \$ 7 \) \( \$ 11 \)

3.) \( (-12)-6= \)