Answer:
She forgot to flip the sign in the last step.
Step-by-step explanation:
In inequality, if you multiply or divide by a negative number, you would have to reverse the inequality sign.
Marice forgot to do this in the final step. She had to divide '-8' to get x completely on one side. All other steps are correct.
The correct answer is x ≥ -1.
Hope this helps.
Full Question
A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass—spring system is disturbed from its rest state by the force F (t) = 20 cos(8t). The force F (t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds.
Determine the spring constant k.
Answer:
Spring Constant = 1000Nm^-1
Step-by-step explanation:
Given
Mass = 10kg
Spring Extension = 9.8cm
Spring Constant K = Force/Extension
Force = Mass * Acceleration
Force = 10 * 9.8 = 9.8N
Spring Extension = 9.8 cm = 9.8 /100 = 0.098 m
Spring constant = 98 / 0.098
Spring Constant = 1000Nm^-1
One third of, 3 to the nine.
1/3 of 3^9
1/3x3^9=6561
Answer:
The correct answer is:
Option 2: Yes, because the slopes of lines are negative reciprocals.
Step-by-step explanation:
Given equations of lines are:
Line p: x+2y=1
Line q: y=2x+1
We can determine if two lines are parallel or perpendicular by comparing the slopes of line.
Slope intercept form of line is given by the formula
Equation of line q is already in slope intercept form.
We have to convert the equation of line p in slope-intercept form
Slope of line p = 2
Slope of line q = -1/2
We can see that
The product of slopes of both lines is -1, hence, the lines are perpendicular.
Hence,
The correct answer is:
Option 2: Yes, because the slopes of lines are negative reciprocals.
