Answer:
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This is a sum and difference problem, with the equations
R-N=35
R+N=635
The solution of which is
R=(635+35)/2=335
N=(635-35)/2=300
In general, the sum and difference problem can be solved (most of the time mentally) using
Larger number = (sum + difference)/2
Smaller number = (sum - difference)/2
Answer:
Option c. 30,000
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
or 
Let
y ----> safe load in pounds
x ----> length in feet of a horizontal beam
we have
For 
Remember that

substitute

Answer:
36/1225 is in the simplest form.
Step-by-step explanation:
The easiest way to simplify a fraction is to look at eachs prime factorization:
36 has the factors:
(1, 2, 3, 4, 9, 12, 18 , 36)
1225 has these factors:
(1, 5, 7, 25, 35, 49, 175, 245, 1225)
Now we look for a common factor greater than 1:
Hmm... there isn't one in these sequences! With that information in our belt, we now know that 36/1225 is in its simplest form.
To solve this we are going to use the formula fro the force applied to a spring:

where

is the spring constant

is the extension
Since we know the

, we can replace that in our formula and solve for

:


where

is the acceleration

is the spring constant

is the extension

is the mass
We know for our problem that

,

, and

. So lets replace those values in our formula to find

:



We can conclude that the acceleration of the block when s=0.4m is

.