Answer:
50
Step-by-step explanation:
5³ ÷ (↓13 - 8) x 2
↓5³ ÷ 5 x 2
125 ÷ 5 x 2
25 x 2
50
Answer:
The particle changes its direction 2 times within the time -3<t<3
Step-by-step explanation:
The particle is moving only in a single dimension (x-axis), and whenever the particle changes its direction it also means that it's velocity while changing the direction will be zero.
Hence,
v(t) = 0
but since we're not concerned with the actual values of t when v(t)=0, we'll only consider how many times does the particle changes its direction.
for that we'll simply plot the curve using half-steps from -3 to 3.
t, v(t)
-3, 115
-2.5, 23.9375
-2, -16
-1.5, -25.0625
-1, -19
-0.5, -9.0625
0, -2
0.5, -0.0625
1, -1
1.5, 1.9375
2, 20
2.5, 68.9375
3, 169
What we need to check is at what points does the sign of v(t) values change (because only between those points will v(t) cross the x-axis, hence it's value would've crossed 0)
so there are two points!
between the intervals t = [-2.5,2] and [1,1.5]
so there are two points where the particle changes its directions and those points lie somewhere between these two aforementioned intervals.
Answer:
The Answer is: The Number is 4
Step-by-step explanation:
Let n = the number.
Eight times a number minus 4 equals 8 plus 5 times the number.
8n - 4 = 8 + 5n
3n = 12
n = 4, the number is 4.
Proof:
8(4) - 4 = 8 + 5(4)
32 - 4 = 8 + 20
28 = 28
Hope this helps! Have an Awesome Day!! :-)
1st: Expand the bracket
3t-3=9+t
2nd: Add the 3 to get rid of it on the first side. Do this to both sides
3t=12+t
3rd: Take away the t on the left hand side and one on the right hand side to just be left with t's on one side and integers on the other side
2t=12
4th: Divide both sides by 2 to find 1t
t=6
Hope this helps!! :)
Answer:
Car B.
Step-by-step explanation:
Car A : 12,380 = 12,400 --> diff : 20
Car B : 16,760 = 16,800 --> diff : 40
Car C : 14,580 = 14,600 --> diff : 20
