Answer:
a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:
b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence
Step-by-step explanation:
1. 7 and -7 are both 7 units away from 0. They are 14 units away from each other. Absolute value helps because rather than 7+(-7) being 0 absolute value makes anything positive so it becomes 7+7=14 to be able to count the units between the two.
2. 5 and -5 are both 5 units away from 0. They are 10 units away from each other. Absolute value helps because rather than 5+(-5) being 0 absolute value makes anything positive so it becomes 5+5=10 to be able to count the units between the two.
3. 2 and -2 are both 2 units away from 0. They are 4 units away from each other. Absolute value helps because rather than 2+(-2) being 0 absolute value makes anything positive so it becomes 2+2=4 to be able to count the units between the two.
Hope that helps
Answer: 21/100
Step-by-step explanation:
Number of green marbles = 21
Number of blue marbles = 35
Number of red marbles = 18
Number of yellow marbles = 26
Total number of marbles = 100
The probability of choosing a free marble will be:
= Number of green marbles / Tot number of marbles
= 21 / 100
Answer:n-6=168
Step-by-step explanation:
The statement starts with the variable first.
Answer : The length of the wire is, 8533 cm
Step-by-step explanation :
As the iron sphere is beaten and drawn into a wire. That means, their volume will be equal.
Volume of iron sphere = Volume of cylindrical wire
The formula will be:
where,
= radius of sphere = 
= radius of cylindrical wire = 
h = height of cylindrical wire or length of wire
Now put all the given values in the above formula, we get:
Therefore, the length of the wire is, 8533 cm
