15. determine whether the solution space of the system ax = 0 is a line through the origin, a plane through the origin, or the origin only. if it is a plane, find an equation for it. if it is a line, find parametric equations for it. (a) a = ⎡⎢⎣ −1 1 1 3 −1 0 2 −4 −5 ⎤⎥⎦ (b) a = ⎡⎢⎣ 1 2 3 2 5 3 1 0 8 ⎤⎥⎦

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

the answer is a beach is the best place to be

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: