Students in a fifth-grade class were given an exam. The same students were retested once a month for several months. The average score is given by the model \( f(t)=62+12 \log (t+1) \) where \( t \) is the time in months. (a) What is the average score on the original exam at \( t=0 \) months? (b) How many months until the average score is 77 ?

4. Show that \( \left|\begin{array}{lll}a & b & c \\ a^{2} & b^{2} & c^{2} \\ b+c & c+a & a+b\end{array}\right|=k(a+b+c)(b-c)(c-a)(a-b) \) and tence determne the value of \( k \)

Part A: Roger is making 7 batches of blueberry pancakes. If it takes \( 1 \frac{1}{4} \) cups of blueberries to make 1 batch of pancakes, write a proportion that can be used to find the amount of blueberries that will be needed to make 7 batches. Part B: Roger says that he will need 9 cups of blueberries to make the 7 batches of pancakes. Is Roger correct? Part C: Support your answer to Part B by creating a proportion using 9 cups of blueberries, and test it using cross products.

In un rettangolo ILMN I'altezza IN è uguale a \( \frac{2}{3} \) della base IL. Determina I'area del rettangolo, sapendo che il perimetro è 170 cm .

\( f(x)=3^{x+1} \quad \) Hyue:

Show by calculations which deal is cheaper. 30 milk chocolate mint chocolate bars for R320. In a bag of marbles there are blue and pink marbles in the ratio \( 3: 11 \). If there are 18 bun maitlos how many marbles are in the bog?