Answer:
In this case study we have following groups:
1. Population: It had all the cars which passed the bicyclist. Out of which 3000 cars were taken.
2. Who: Each instance of a car passing a rider, means the drivers passing by.
That is the 3000 cars which passed the researcher on his bicycle.
3. What: The distance at which cars pass the bicycle rider. The distance the drivers stayed away from his bike.
Answer: 5.2×103. = 5.2×1000. = 5200
Step-by-step explanation:
Answer:
Work done in stretching the spring = 7.56 lb-ft.
Step-by-step explanation:
Normal length of the spring = 8 in or
ft
=
ft
If the spring has been stretched to 11 inch then the stretched length of the spring is = 11 in
=
ft
Force applied to stretch the spring = 12 lb
By Hook's law,
F = kx [where k is the spring constant and x = length by which the spring is stretched]
12 = k(
)
k = 18
Work done (W) to stretch the spring by
ft will be
W = 
= 
= ![18[\frac{x^{2}}{2}]^{\frac{11}{12}}_0](https://tex.z-dn.net/?f=18%5B%5Cfrac%7Bx%5E%7B2%7D%7D%7B2%7D%5D%5E%7B%5Cfrac%7B11%7D%7B12%7D%7D_0)
= 9(
)²
= 7.56 lb-ft
Step-by-step explanation:
2x + y = 21
Solving
2x + y = 21
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1y' to each side of the equation.
2x + y + -1y = 21 + -1y
Combine like terms: y + -1y = 0
2x + 0 = 21 + -1y
2x = 21 + -1y
Divide each side by '2'.
x = 10.5 + -0.5y
Simplifying
x = 10.5 + -0.5y
5(2x + 6) = -4(-5 - 2x) + 3x
Distribute: 10x + 30 = 20 + 8x + 3x
Combine like terms: 10x + 30 = 20 + 11x
Simplify: 10x + 30 - 20 = 20 - 20 + 11x
Simplify: 10x - 10x + 10 = 11x - 10x
Divide for x: 10/1 = 1x/1
x = 10