The velocity of a particle moving in a straight line is given by v = 5tet2 + t. (a) find an expression for the position s after a time t. hint [see example 2(d).] s = t2 2+ 5et2 2 + c (b) given that s = 4 at time t = 0, find the constant of integration c and hence an expression for s in terms of t without any unknown constants. s =

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

my guess would be b and d, but i didn’t actually get out the pen and paper. lol

x= 3^y

step-by-step explanation: