Well, one way to eliminate the possible options, is to look for the point of the starting mass, which is 8 milligrams. This eliminates graphs A and B, this leaves graphs C and D, knowing the mass is decreasing and not increasing, the correct graph would be D.
We can check this, by taking the mass of the substance and dividing it by 2, the remaining mass of the substance would be 4 mg.
Answer:
-1
Step-by-step explanation:
The equation is s=144t - 16t², s being the distance and V=144 ft/s
a)The maximum (or minimum) is reached when the derivative of s = 0
s' = 144 - 32t = 0 and t= 9/2 or 4.5 second (time needed to reach the max
Now plug t= 4.5 in the original equation and you will find s = 324 ft
(Why it's a max and not a minimum: because 2nd derivative is negative and equals s" = -32)
b) Velocity of the ball: distance (up) s=320 ft, time that means:
320 =144t - 16t² (solve for x) -16t²+144t-320 = 0, t₁ =4 and t₂ =5 (t₂ is not valid since max time to reach summit is 4.5) so t =4s , distance = 320. so the velocity at 320ft is 320/4 = 80 ft/s
c) Due to the symmetry of the parabola, the velocity at 320 ft on its way down = 80 ft/s
Answer:
a) 2/5
b) 1/3
c) 3/10
Step-by-step explanation:
a)12;30
= 12/30
= 2/5
b)9;27
= 9/27
= 1/3
c) 15;50
= 15/50
= 3/10
Answer:
Step-by-step explanation: