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Questions in Grade College

[Done] Write the vector v in the form ai+ bj, given its magnitude is [v] = 24 and the angle it makes with the positive x-axis is a = 300°. v= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type your answer in the form ai+bj.)

[Done] What is the point of intersection when the system of equations below is graphed on the coordinate plane? [tex]\left\{\begin{array}{l} -x+y=4 \\ 6 x+y=-3 \end{array}\right.[/tex] A. $(1,-3)$ B. $(-1,3)$ C. $(1,3)$ D. $(-1,-3)$

[Done] Assume that a procedure yields a binomial distribution with a trial repeated [tex]$n$[/tex] times. Use the binomial probability formula to find the probability of [tex]$x$[/tex] successes given the probability [tex]$p$[/tex] of success on a single trial. Round to three decimal places. [tex]$n=6, x=3, p=\frac{1}{6}$[/tex]

[Done] Solve the system of equations given below. [tex] \begin{array}{l} -5 x=y-5 \\ -2 y=-x-21 \end{array} [/tex] A. (10,16) B. (-1,-23) C. (10,-45) D. (-1,10)

[Done] Orchids are a recently evolved plant that have a novel feature known as aerial roots. What is the most likely function of an orchid's specialized roots? A. Aerial roots are the site of energy synthesis. B. Aerial roots allow the orchid to attach itself to trees. C. Aerial roots produce food for the orchid through photosynthesis. D. Aerial roots anchor the orchid to the ground.

[Done] Bryan used the six steps to solve this problem. | | | |---|-----------------------| | A | $14.65 per box | | B | First box is free, $16.20 for any additional boxes | On one of the steps, he decided that he would use multiplication and addition to compare the companies and find the best rate. Which step did Bryan use to help him decide?

[Done] Explain what distinguishes medicines from drugs and why medicines are drugs, but not all drugs are medicines.

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

[Done] Solve the equation. $5 x+8-3 x=-10$

[Done] What are the coordinates of point P on the directed line segment from $R$ to $Q$ such that $P$ is $\frac{5}{6}$ the length of the line segment from $R$ to $Q$ ? Round to the nearest tenth, if necessary.