Naomi works in a music shop and earns $42 per day. she earns an extra $2 for each cd she sells. if naomi wants to earn at least $80 per day, which inequality shows the minimum number of cds, n, that she should sell?
42 + 2n ≤ 80, so n ≤ 19
42 + 2n ≥ 80, so n ≥ 19
42 + 2n ≥ 80, so n ≥ 36
42 + 2n ≤ 80, so n ≤ 36

Will give let f(x)=2x and g(x)=[tex]2^{x}[/tex] graph the functions on the same coordinate plane. what are the solutions to the equation f(x)=g(x) ? enter your answers in the boxes x=[? ] or x=[? ]

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.

Triangles abc and dfg are given. find the lengths of all other sides of these triangles if: b ∠a≅∠d, ab·dg=ac·df, ac=7 cm, bc=15 cm, fg=20 cm, and df-ab=3 cm.