How long would it take for a ball dropped from the top of a 100-foot building to hit the ground? Round your answer to two decimal places.

time = 2.48 seconds

Step-by-step explanation:

Given data:

distance = 100 foot

Initial velocity = 0 because it was held and being released.

acceleration is gravitational force

gravitational force in feet per second = 32.2 ft/s²

formula for distance is s = ut +(1/2)at² where s = distance , u = intial velocity , a = acceleration and t = time

s = ut +(1/2)at²

100 = 0(t) + (1/2)(32.2)t²

100 = 16.2t²

100/16.2  = t²

therefore t = 2.484

t = 2.48 seconds (to 2 decimal places)

b. 13

step-by-step explanation:

as there are 13 students in bowling class therefore the most reasonable answer is b as only 13 students are in the bowling class.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204