Questions in Grade College

Questions in Grade College

[Free] On a number line, the directed line segment from $Q$ to $S$ has endpoints $Q$ at -8 and $S$ at 12. Point $R$ partitions the directed line segment from $Q$ to $S$ in a 4:1 ratio. Which expression correctly uses the formula $\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1$ to find the location of point $R$? A. $\left(\frac{1}{1+4}\right)(12-(-8))+(-8)$ B. $\left(\frac{4}{4+1}\right)(12-(-8))+(-8)$ C. $\left(\frac{4}{4+1}\right)(-8-12)+12$ D. $\left(\frac{1}{1+4}\right)(-8-(12)+12$

[Free] You pick a card at random from an ordinary deck of 52 cards. If the card is an ace, you get 9 points; if not, you lose 1 point. Write the equation for the expected value. [tex]\begin{aligned} E(V) & =\frac{4}{52}(a)+\frac{b}{52}(c) \\ a & =\square c=\square b=\square c=\square \end{aligned}[/tex]

[Free] What is the true solution to $3 \ln 2+\ln 8=2 \ln (4 x) ?$ A. $x=1$ B. $x=2$ C. $x=4$ D. $x=8$

[Free] You can bisect an angle using paper folding constructions. A. True B. False

[Free] Explain what happens to your money when you deposit it.

[Free] The perimeter of a church window is 80 inches. If the window is in the shape of a square, what is the length of each side of the window? A) 20 inches B) 40 inches C) 60 inches D) 15 inches

[Free] Reduce this fraction to its simplest form: [tex]$\frac{40}{48}=?$\ [/tex]

[Free] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Free] Solve for $x$. $11^{-x-5}=18^{8 x}$ Write the exact answer using either base-10 or base-e logarithms.

[Free] Evaluate [tex]\frac{2 x^2-5 y}{3 x-y}[/tex] when [tex]x=2[/tex] and [tex]y=-4[/tex]. A. 10 B. 4 C. 8 D. 14