Answer:
7 pages
Step-by-step explanation:
Given the total number of pages in the book are 16
The number of pages esteban already read are 9
Let the number of pages left out to read be x
Total number of pages = number of pages read + number of pages to be read
16=9+x
x=16-9
x=7 pages
Therefore There are 7 pages left out to be read.
Answer:
y = 460 miles per hr
x = 500 miles per hr
Step-by-step explanation:
Let the planes be X any
Let their speeds be xmiles/hr and ymiles/hr respectively
x = y + 40 (assuming X is faster by 40miles/hr)
Distance travelled by X to meet Y = 0.75x
Distance travelled by Y to meet X = 0.75y
0.75x + 0.75y = 720 --------1
Put x = y + 40 in eqn 1
0.75(y+40) + 0.75y = 720
0.75y + 30 + 0.75y= 720
1.5y = 690
y = 460 miles per hr
x = 460 +40
= 500 miles per hr
Answer:
d = v/53
Step-by-step explanation:
Divide both sides by 53 to make d the subject of the formula
Answer:
(A) 
with 
.
(B) 
with
(C) 
with 
(D) 
with ,
Step-by-step explanation
(A) We can see this as separation of variables or just a linear ODE of first grade, then 
. With this answer we see that the set of solutions of the ODE form a vector space over, where vectors are of the form 
with 
real.
(B) Proceeding and the previous item, we obtain 
. Which is not a vector space with the usual operations (this is because 
), in other words, if you sum two solutions you don't obtain a solution.
(C) This is a linear ODE of second grade, then if we set 
and we obtain the characteristic equation 
and then the general solution is with , and as in the first items the set of solutions form a vector space.
(D) Using C, let be 
we obtain that it must satisfies 
and then the general solution is with , and as in (B) the set of solutions does not form a vector space (same reason! as in (B)).
