2642
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T(n) = 2/3 x 3n T(15) = 2/3 x 315
16r^2
X/2+25
The answers to punchline 9.5 1.) x>4 1/3 2.) x is less than or equal to -2 3.) x is less than or equal to -2 1/2 4.) x> 13 5.) x< -4 6.) x is greater than or equal to 58 7.) x is greater than or equal to 5 8.) t > -6 1/5 9.) t is less than or equal to 25 10.) t > -1 3/4 11.) t < 5 12.) t is greater than or equal to -1 13.) t < 4 1/2 14.) t is less than or equal to 0 15.) 319 the answer to the question at the top is: the girl and the guy who met in a revolvin door and started going around enjoy:)
Assume the car has constant acceleration a and initial velocity 0. Then the velocity at time t will be a*t, so if we call the distance travelled at time t, x, we get the following identity: a*t = dx/dt This differential equation can be solved in any number of ways to yield 1/2 * a * t^2 = x where the constant of integration is zero since the distance travelled at time 0 is 0 by definition. Therefore we have: a = 2*x/t^2 = 2*5m/(4.5s)^2 = 40/81 ms^-2 or about half a meter per second squared