Answer:
B. y = 4x
Step-by-step explanation:
** 4 blocks = 1 unit [vertically]
Starting from the origin, you do <em>rise</em><em>\</em><em>run</em><em> </em>by moving four blocks <em>north</em><em> </em>over one block <em>east</em><em>.</em><em> </em>This graph is an example of what is known as direct variation.
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Answer:
2
Step-by-step explanation:
The slope-intercept form is
y=mx+b, where m is the slope and b is the y-intercept.y=mx+bRewrite in slope-intercept form.Simplify 2(x+1).Apply the distributive property.
y+5=2x+2⋅1
multiply 2 by 1.
y+5=2x+2
y+5=2x+2
Move all terms not containing y to the right side of the equation.Subtract 5 from both sides of the equation.
y=2x+2−5
y=2x−3
the slope is the "m" so the slope is 2
19.5 in difference
difference indicates that you'll be subtracting so 29 3/4 - 10 1/4 = 19.5
Log16 4 = 2
log base 16 then the number four then set that equal to 2
The maximum compression of the spring is 0.276 m
Step-by-step explanation:
First of all, we calculate the spring constant of the spring, by using Hooke's law:

where
F = 10 kN = 10,000 N is the force applied
x = 1.25 cm = 0.0125 m is the corresponding compression of the spring
k is the spring constant
Solving for k,

When the truck impacts with the spring, all the kinetic energy of the truck is converted into elastic potential energy of the spring, so we can write
(1)
where
m is the mass of the truck
v = 2 m/s is the initial speed of the truck
is the spring constant
x is the compression of the spring
The mass of the truck can be found from its weight:

So now we can re-arrange eq.(1) to find the compression, x:

Learn more about kinetic energy:
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