( 40 pts) An investor has purchased a mix of stocks over the years. In the technology portion of their portfolio, they have a total of 312 shares. Some of their stocks were a serious investment in Google, which is at \( \$ 165.39 \) per share. The rest of their stocks were a meme purchase of GameStop, which is at \( \$ 21.93 \) per share. If the current value of their tech portfolio is \( \$ 27,213.48 \), how many shares of Google do they have?

1 point Two people gave the following responses about the value of \( x \) in the equation \( x^{2}=169 \) John: The value of \( x \) is 13 . Stephanie: The value of \( x \) is -13 . Whose Statement is correct? Neither John nor Stephanie Only Stephanie Both John and Stephanie Only John

Write each function in vertex 1. \( f(x)=x^{2}-12 x+36 \)

7. Find the slope using points: \( (-8,-2) \) and \( (1,4) \)

A bent coin has probability 0.55 of landing heads up. What is the probability that five tosses of the coin will result in at least one heads? Use four decimal places in your answer. Answer to four decimal places:

Question A smooth curve \( C \) is defined by the parametric equations \( \mathbf{r}(t)=(10 \sin (-t)) \mathbf{i}+(-9 \sin (2 t)) \mathbf{j} \). Find the unit tangent vector to at \( t=\frac{5 \pi}{6} \)