IF YOU ANSWER I WILL SEND MONEYJim is trying to improve his speed on the track so he can qualify for the State Championships. As he is running, he goes from 70 meters/minute (beginning speed) to 106 meters/minute (final speed) in 9 seconds. What is his acceleration?

Acceleration ≅ 0.067 m/s²

Step-by-step explanation:

First we have to convert speeds to meters per second since time is in seconds.

We have to multiply speeds by 1min/60sec

Beginning speed (70m/min)x(1min/60sec) = 70/60 m/s

Final speed (106m/min)x(1min/60sec) = 106/60 m/s

Acceleration = (Final speed - Beginning speed) ÷ time

Acceleration = (106/60 - 70/60)m/s ÷ 9s

Acceleration = (36/60)m/s ÷ 9s

Acceleration = 36m/60·9s²

Acceleration = 36m/540s²

Acceleration ≅ 0.067 m/s²

Acceleration ≅ 0.067 m/s²

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".