Answer: 1.8 s
Step-by-step explanation:
Given
The height of the spring mass system above the table is given by

The mass is performing S.H.M with frequency 
and 

time when mass returns to its original position

Answer: C or 2 seconds.
Step-by-step explanation:
To find the vertex in a standard form equation: (-b/2a,f(-b/2a))
plug it in: -64/2*-32 = 2
Answer:
43
Step-by-step explanation:
Let
The unit digit = x
The tens digit = y
The number = 10x + y
The tens digit of a two-digit number is five more than the units digit.
y = x + 5
Seven times the sum of the digits of this number is 3 less than the number itself.
7(x + y) = 10x + y - 3
7x + 7y = 10x + y - 3
Find the number.
We substitute x + 5 for y
7x + 7(x + 5) = 10x + (x + 5) - 3
7x + 7x + 35 = 10x + x + 5x - 3
14x + 35 = 11x + 5x - 3
Collect like terms
35 + 3 = 11x + 5x -14x
38 = 16x - 14x
38 = 2x
x = 38/2
x = 19
Solving for y
y = x + 5
y = 19 + 5
y = 24
The number = 19 + 24
= 43
Answer:
No
Step-by-step explanation:
1. 5 cups of cornmeal=2 cups of water. Using 115 cups of cormeal would mean you need 287.5 cups of water, not 3.
3 is too little
2: If you use 5 cups of water for every 3 cups of cornmeal, for 3 cups of cornmeal you'd need like 6.5 cups of water, not that high of a number.