Answer:
t = 2 s= 96
t = 3 s = 64
t = 4 s= 32
t= 5 s = 0
t= 6 s = -32
t = 7 s = -64
t = 8 s = -96
t= 9 s = -128
Step-by-step explanation:
We have the equation of the position of the rocket as a function of time t.
The instantaneous velocity of the rocket as a function of time is given by the derivation of the position with respect to time.
So
So
t = 2 s= 96
t = 3 s = 64
t = 4 s= 32
t= 5 s = 0
t= 6 s = -32
t = 7 s = -64
t = 8 s = -96
t= 9 s = -128
Answer:
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.Step-by-step explanation: ratios
Answer:
55
Step-by-step explanation:
Let x represent the middle integer. Then the smallest is x-2 and the largest is x+2. Your requirement is that ...
(x-2)/(x+2) > 2/3
3x -6 > 2x +4 . . . . cross multiply
x > 10 . . . . . . . . . . .add 6-2x
The smallest integer satisfying this requirement is x=11. The sum of the 5 integers is 5x = 55.
The smallest sum is 55.
Answer:
C. 8
Step-by-step explanation:
The average rate of change is the slope of the line between the two points of interest. It is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For points (1, 2) and (3, 18), the average rate of change is ...
m = (18 -2)/(3 -1) = 16/2 = 8
The average rate of change between x=1 and x=3 is 8.
Answer:
n < - 3 or n > - 2
Step-by-step explanation:
Inequalities of the type | x | > a , have solutions of the form
x < - a or x > a
Then
2n + 5 < - 1 or 2n + 5 > 1
Solve both inequalities
2n + 5 < - 1 ( subtract 5 from both sides )
2n < - 6 ( divide both sides by 2 )
n < - 3
OR
2n + 5 > 1 ( subtract 5 from both sides )
2n > - 4 ( divide both sides by 2 )
n > - 2
Solution is n < - 3 or n > - 2
