I bet the ODE is supposed to read
Then if 
, we have 
and 
, and substituting these into the ODE gives
Solving for <em>r</em>, we find
so that 
and 
are two fundamental solutions to the ODE. Thus the general solution is
Given that 
and 
, we get
So the particular solution is
Answer:
A) None
Step-by-step explanation:
1) 
shoudnt neccesarily be a factor of nst, for example, if s = 3, t = 4, and n = 12, then both s and t are factors of n, but 
is not a factor of nst = 144.
2) 
shoudnt neccesarily be a factor of nst. Let s be 4, let t be 6, and let n be 12. Then n is a factor of both s and t, but 
is not a factor of nst = 12*24. In fact, it is a greater number.
3) Again, s+t isnt necessarily a factor of nst, let s be 2 and t be 3. Then both s and t are factor of n = 12. However 5 = s+t is not a factor of nst = 72.
So, neither of the three options is guaranteed to be a factor of nst. In fact, for s = 4, t = 6, and n = 12, none of the three options are valid.
Answer:
Step-by-step explanation:
Compare y = mx + b to
y = -69x - 346.
Here the slope, m, equals -69 and the y-intercept, b, equals -346 (Answer C)
Answer:2
Step-by-step explanation:
Answer:
The correct option is;
After 64 seconds, ABOUT HALF of the brands of milk chocolate ARE LIKELY to melt, and NONE of the brands of dark chocolate ARE LIKELY to melt
Step-by-step explanation:
Here we have for the milk chocolate
Min = 29 s
Lower quartile Q₁ = 44 s
Median = 64 s
Upper quartile Q₂ = 93 s
Max = 129 s
For the dark chocolate
Min = 210 s
Lower quartile Q₁ = 237 s
Median = 259 s
Upper quartile Q₂ = 295 s
Max = 320 s
As seen from the values of the box plot, after the median time of 64 seconds which represents half of the test results of the milk chocolate about half of the brands of milk chocolate are likely to melt, while the dark brands only start to melt after 210 seconds.
Therefore the correct option is
After 64 seconds, ABOUT HALF of the brands of milk chocolate ARE LIKELY to melt, and NONE of the brands of dark chocolate ARE LIKELY to melt.
