Answer:
So,
if C = 2πR
you take 2π you get 6.28
so C=6.28 x r
the radius is 11.5 so
6.28 x 11.5 = 72.2566
the circumference is 72.2566
Step-by-step explanation:
Answer:
3 -1 -2
5 1 6
Step-by-step explanation:
An augmented system has the coefficients for the variables and then the solution going across
Rewriting the equations to get them in the form
ax + by = c
-3x+y =2
3x-y =-2
5x+y = 6
The matrix is
3 -1 -2
5 1 6
Answer:
Part--1:
We know that a equation in point-slope form is represented by:
<em> y-y1=m</em>
<em />
where m is the slope of the line and is a point through which the line passes.
<em />
<em> </em>
<em />
Consider a equation in a point-slope form as:
This means that the slope of the line is: 5
and the line passes through the point (1,5).
Part--2:
Now as we know that if a line has a slope as m then the perpendicular line has a slope: -1/m
Since,
Let this perpendicular line passes through (2,6)
Hence, the equation of a line in point slope form is given by:
Step-by-step explanation:
Answer:
K(x) = ![\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }](https://tex.z-dn.net/?f=%5Cfrac%7B-10%7D%7B%5B1%20%2B%20%28-10x%29%5E2%5D%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%7D)
( curvature function)
Step-by-step explanation:
considering the Given function
F(x) = 
first Determine the value of F'(x)
F'(x) = 
F'(x) = -10x
next we Determine the value of F"(x)
F"(x) = 
F" (x) = -10
To find the curvature function we have to insert the values above into the given formula
K(x) ![= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%7Cf%22%28x%29%7C%7D%7B%5B1%20%2B%28%20f%27%28x%29%5E2%29%5D%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%7D)
K(x) = ( curvature function)
The formula we'll use for this is the simple interest formula, or:
Where:
<span><span>P is the principal amount, $4000.00.
</span><span>r is the interest rate, 12% per year, or in decimal form, 12/100=0.12.
</span><span>t is the time involved, 3....year(s) time periods.
</span><span>So, t is 3....year time periods.
</span></span>
To find the simple interest, we multiply 4000 × 0.12 × 3 to get that:
<span>
The interest is: $1440.00</span>
