Answer:
1/3
Step-by-step explanation:
sum of numbers = 30 marbles
probability = 10/30 or simplified 1/3
 
        
             
        
        
        
Answer:
 
what i don't understand why you are not answer that question
 
 
        
             
        
        
        
Answer:
hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to
Answer:  v = 5v + 4u + 1.5sin(3t), 
Step-by-step explanation:
u" - 5u' - 4u = 1.5sin(3t)        where u'(1) = 2.5   u(1) = 1
v represents the "velocity function"   i.e   v = u'(t)
As v = u'(t)
<em>u' = v</em>
since <em>u' = v </em>
v' = u"
 v'  = 5u' + 4u + 1.5sin(3t)   ( given that u" - 5u' - 4u = 1.5sin(3t) )
     = 5v + 4u + 1.5sin(3t)  ( noting that v = u' )
so v' = 5v + 4u + 1.5sin(3t)
d/dt ![\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Du%26%5C%5Cv%26%5C%5C%5Cend%7Barray%7D%5Cright%5D) =
= ![\left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%26%5C%5C4%265%26%5C%5C%5Cend%7Barray%7D%5Cright%5D) 
  ![\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Du%26%5C%5Cv%26%5C%5C%5Cend%7Barray%7D%5Cright%5D) +
 + ![\left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26%5C%5C1.5sin%283t%29%26%5C%5C%5Cend%7Barray%7D%5Cright%5D) 
 
Given that u(1) = 1 and u'(1) = 2.5
since v = u'
v(1) = 2.5
note: the initial value for the vector valued function is given as 
![\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Du%281%29%26%5C%5Cv%281%29%5C%5C%5Cend%7Barray%7D%5Cright%5D) =
  = ![\left[\begin{array}{ccc}1\\2.5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%5C%5C2.5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
 
        
             
        
        
        
Answer:
2  4/9
Step-by-step explanation:
You need to divide the two fractions.
You need to multiply 11/4 by the reciprocal of 9/8.
11/4 times 8/9
You can simplify first.
11 times 2/9
22/9
Simplify to
2 4/9
 
        
                    
             
        
        
        
Answer:
 (4x - 1)(3x - 1).
Step-by-step explanation:
I think you mean 12x^2 - 7x + 1
= 12x^2 - 4x - 3x + 1
= 4x(3x - 1) -- 1(3x - 1)
= (4x - 1)(3x - 1).