Answer:
The value of the maximum distance the spring will be compressed
x = 0.143 m= 14.3 cm
Step-by-step explanation:
Given data
Mass m = 1.5 kg
h = 0.9 m
k = 1500
Since the book is released from a height h = 0.9 m above the top of the spring. so the total distance
y = h + x
Now in that case for the spring
By rearranging the above equation we get
Put all the values in above equation we get
By solving the above equation we get
x = 0.143 m= 14.3 cm
This is the value of the maximum distance the spring will be compressed.
Answer:
The number is 5
Step-by-step explanation:
Let x be the number
3x+5+x = 25
Combine like terms
4x+5 = 25
Subtract 5 from each side
4x+5-5 = 25-5
4x = 20
Divide by 4
4x/4 = 20/4
x = 5
Answer:
<em>M(13)=14.3 gram</em>
Step-by-step explanation:
<u>Exponential Decay Function</u>
The exponential function is used to model natural decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The element has an initial mass of Mo=970 grams, the decaying rate is r=27.7% = 0.277 per minute.
The equation of the model is:
Operating:
After t=13 minutes the remaining mass is:
Calculating:
M(13)=14.3 gram
If you let x = 13:
Then, Area = 2(13)^2 - 5(13)
= 338 - 65
= 273 sq ft
If you let 2x-5 = 13:
2x = 18
x = 6
Then, Area = 2(6)^2 - 5(6)
= 72 - 30
= 42 sq ft
Therefore, your options are A or C. Your answer can be chosen based on what you assume the width to be. Good luck!
