Given the vectors in component form: r = ⟨8, 4⟩

s = ⟨–3, –4⟩

t = ⟨–5, 1⟩

Perform the operations.

5r – 3s + 8t

What is the magnitude and direction angle of the resultant vector?
A. 10.8, θ = 56.3°
B. 18.4, θ = 119.4°
C. 41.0, θ = 77.3°
D. 97.6, θ = 24.2°

At a lunchron, guests are offered a selection of five different grilled vegetables and four different meats. in how many waya could one choose three vegetables and two meats?

One month, a music site observed that 60% of the people who downloaded songs from its site downloaded q sam's latest single. the equation below represents this information, where x represents the total number of people who ddownloaded songs from the site that month: x = 0.6x + 384 how many people who downloaded songs from the site that month downloaded q sam's latest single?

Awater holding tank measures 105 m long, 50 m wide, and 8 m deep. traces of mercury have been found in the tank, with a concen- tration of 60 mg/l. what is the total mass of mercury in the tank? answer in units of kg.