Time required for the pendulum to swing from its position furthest to the right to its position furthest to the left: 1.25 seconds
Step-by-step explanation:
A pendulum is a system consisting of a rod/string connected to a mass which is left free to oscillate back and forth around its equilibrium position, straight vertical.
The period of a pendulum is the time the pendulum takes to complete one full oscillation, that means it is the time the pendulum takes to go from its furthest position on the left to the same position again. It is calculated as

where L is the length of the pendulum and g the acceleration of gravity.
The figure in this problem represents the position of the pendulum. We observe that the time it takes for the pendulum to do one complete oscillation is 2.5 seconds.
The time it takes for the pendulum to swing from its position furthest to the right to its position furthest to the left is half the period: therefore, it is

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The first question is.
6 + 6 = 12
n is the same thing on both sides of the equation
6 + 6 - n = 12 - n
You are taking an equal amount off both sides so the left and right sides are both equal still. Try it. Let n = 0.5
6 + 6 - 0.5 = 12 - 0.5
6 + 5.5 = 11.5
11.5 =? 11.5
They are both equal. In algebra a letter in an equation like this one can't change values if that letter is on opposite sides of the equation.
Six
9.5 y + 600 < 900
9.5 y = 300
y < 300 / 9.5
y < 31.57
If there's no sales tax where he lives, he can take 31 students. If it is possible to take 0.57 of a student then he can take 32 (but of course it isn't possible).
Step-by-step explanation:
Area of Square=side²
Side=√(Area of the square)
Given area of the square=196cm²
Side of the square=√196=14cm
Perimeter of square=4*side=4*14=56cm
Length of the rectangle=(14+x)cm
Breadth of the rectangle=(14-y)cm
Area of rectangle=Length*Breadth=
(14+x)(14-y)=14(14)+14(-y)+x(14)+x(-y)=(196-14y+14x-xy)cm²
Absolute value is defined as the distance of a number from zero on a number line.
Since, the distance can never be negative, hence, absolute value can never be negative.
For example 1 is 1 away from the origin and -1 is also, 1 away from the origin.
Therefore, absolute value of both -1 and 1 is 1. Mathematically, we can write
|-1| =1
|1|=1
Therefore, the number 1 and -1 on the number line have an absolute value of 1.