The answer to this problem is 164.
Hope this answer helps! feel free to ask any additional questions :)
Answer:
Fredholm's integral equations of the first kind are the prototypical example of ill-posed linear inverse problems. The model, among other things, reconstruction of distorted noisy observations and indirect density estimation and also appear in instrumental variable regression. However, their numerical solution remains a challenging problem. Many techniques currently available require a preliminary discretization of the domain of the solution and make strong assumptions about its regularity. For example, the popular expectation-maximization smoothing (EMS) scheme requires the assumption of piecewise constant solutions which is inappropriate for most applications. We propose here a novel particle method that circumvents these two issues. This algorithm can be thought of as a Monte Carlo approximation of the EMS scheme which not only performs an adaptive stochastic discretization of the domain but also results in smooth approximate solutions. We analyze the theoretical properties of the EMS iteration and of the corresponding particle algorithm. Compared to standard EMS, we show experimentally that our novel particle method provides state-of-the-art performance for realistic systems, including motion deblurring and reconstruction of cross-section images of the brain from positron emission tomography.
Step-by-step explanation:
516.36 because the thousandth digit isn't above 5 so you don't round up
Answer:
379.72 meters
Step-by-step explanation:
At first, the balloon was 300 m away at 25°, so its height can be determined as:

After 5 minutes, the balloon was at 60°, so its height can be determined as:

To find the distance traveled by the balloon during that period, simply subtract the second height by the first one:

The balloon traveled 379.72 meters in that time.
First we need to find the slope
y2-y1/x2-x1
-6-4/-3-2
-10/-5 <---this can be simplified
Slope=2
Point slope:
y-y1=m(x-x1)
Now take the first pair of coordinates and plug them in their proper spots it helps to label them then plug in
y1=4
x1=2
m=slope=2
Now plug them in our final answer would be :
y-4=2(x-2)
Slope intercept:
<span>y = mx + b
</span><span>where:
m is the slope of the line
b is the y-intercept of the line
Slope is known
y=2x+b
To find the b you pick one of the given coordinates let's do (2,4)
Plug them into what we have
y=2x+b
4=2(2)+b
solve for b
4=4+b
subtract 4 from both sides
b=0 therefore the equation would simply be
y=2x</span>