Answer:
A is the steepest Because
A = 1.66666666667
B=-1.5
C= is just 0
Step-by-step explanation:
True. Distance formula will give you the length between any two points.
Answer:
a)
, b)
, c)
, d) 
Step-by-step explanation:
a) The spring constant is calculated by using this expression:



b) The work needed to compress the spring from its initial position is:

![\Delta U_{k} = \frac{1}{2}\cdot (300\,\frac{N}{m} )\cdot [(-0.3\,m)^{2}-(0\,m)^{2}]](https://tex.z-dn.net/?f=%5CDelta%20U_%7Bk%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%28300%5C%2C%5Cfrac%7BN%7D%7Bm%7D%20%29%5Ccdot%20%5B%28-0.3%5C%2Cm%29%5E%7B2%7D-%280%5C%2Cm%29%5E%7B2%7D%5D)

c) The work needed to stretch the spring is:
![\Delta U_{k} = \frac{1}{2}\cdot (300\,\frac{N}{m} )\cdot [(0.2\,m)^{2}-(0\,m)^{2}]](https://tex.z-dn.net/?f=%5CDelta%20U_%7Bk%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%28300%5C%2C%5Cfrac%7BN%7D%7Bm%7D%20%29%5Ccdot%20%5B%280.2%5C%2Cm%29%5E%7B2%7D-%280%5C%2Cm%29%5E%7B2%7D%5D)

d) The work need to stretch the spring is:
![\Delta U_{k} = \frac{1}{2}\cdot (300\,\frac{N}{m} )\cdot [(0.2\,m)^{2}-(0.1\,m)^{2}]](https://tex.z-dn.net/?f=%5CDelta%20U_%7Bk%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%28300%5C%2C%5Cfrac%7BN%7D%7Bm%7D%20%29%5Ccdot%20%5B%280.2%5C%2Cm%29%5E%7B2%7D-%280.1%5C%2Cm%29%5E%7B2%7D%5D)

Answer:
see the explanation
Step-by-step explanation:
we know that
g(x)=2f(x)
so
Find the value of g(x) for the corresponding value of f(x)
1) For x=-6, f(x)=2
Substitute
g(x)=2f(x)
g(x)=2(2)=4
2) For x=-2, f(x)=2
Substitute
g(x)=2f(x)
g(x)=2(2)=4
3) For x=0, f(x)=6
Substitute
g(x)=2f(x)
g(x)=2(6)=12
4) For x=1, f(x)=3
Substitute
g(x)=2f(x)
g(x)=2(3)=6
4) For x=6, f(x)=-1
Substitute
g(x)=2f(x)
g(x)=2(-1)=-2
Answer:
Consumption in the 1920s The prosperity of the 1920s led to new patterns of consumption, or purchasing consumer goods like radios, cars, vacuums, beauty products or clothing. The expansion of credit in the 1920s allowed for the sale of more consumer goods and put automobiles within reach of average Americans.
Step-by-step explanation: