Answer with Step-by-step explanation:
The height of the ball from the ground as a function of time is given by
The height of the ball at any instant of time can be found by putting the value of time 't' in the above relation as
Part a)
Height of ball after 2 seconds it is released is
Part b)
Height of ball after 4 seconds it is released is
The answer is 3.42 x 10^6 because we moved the decimal 6 places to the left. Hope this helps:)
~Ash
Answer:
a. 84 < n + (n + 2) + (n + 4) < 96
b. 26 < n < 30
step-by-step explanation:
using 'n' to represent the smallest even number, the next even number would be 'n + 2' and the next even number would be 'n + 4'. so, the expression to represent three consecutive even numbers is: n + (n + 2) + (n + 4).
since the sum of the these numbers needs to be between 84 and 96, we can set up the following inequality:
84 < n + (n + 2) + (n + 4) < 96
in order to solve for 'n', we must first combine like terms:
84 < 3n + 6 < 96
subtract 6 from all sides: 84 - 6 < 3n + 6 - 6 < 96 - 6 or 78 < 3n < 90
divide 3 by all sides: 78/3 < 3n/3 < 90/3 or 26 < n < 30.
Answer:
33 and -39
Step-by-step explanation:
Angle on a straight line = 180
|5x + 15| = 180 and |5x + 15| = -180
5x + 15 = 180
Subtract 15 from both sides;
5x = 165
Divide both sides by 5;
x = 33
5x + 15 = -180
Subtract 15 from both sides;
5x = -195
Divide both sides by 5;
x = -39