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923 rounded to the nearest hundred is 900. If the number was over 950 it would be 1,000 but since it was below is closer or nearest to 900
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
Answer: The GREATEST number of bookmarks that Logan can make = 31.
Step-by-step explanation:
GIven: Total petals = 95
Number of petals required for each bookmark = 3
Number the number of bookmarks can be prepared from 95 petals = 95 ÷ (Petals required of each bookmark)
= 95÷3
![=31\dfrac{2}{3}\ \ \ \approx31\text{ [Round to the nearest whole number.]}](https://tex.z-dn.net/?f=%3D31%5Cdfrac%7B2%7D%7B3%7D%5C%20%5C%20%5C%20%5Capprox31%5Ctext%7B%20%20%20%20%5BRound%20to%20the%20nearest%20whole%20number.%5D%7D)
i.e. The GREATEST number of bookmarks that Logan can make = 31.
A.) The circumference of the tire is 94.2
B.) The tire will have to rotate 56 times to
travel 1 mile.