<span>Ivan DATA:
rate = 12 mph ; time = t hrs ; distance = 12t miles
</span><span>Kate DATA:
rate = 16 mph ; time = t-(3/2) hrs ; distance = 16t - 24 miles
</span><span>Equation:
12t + 16t-24 = 40 miles
</span><span>28t = 64
time = 16/7 = 2hr 17 min
Ans: 8:00 + 2hr 17 min = 10:17AM</span>
        
                    
             
        
        
        
Chain rule:
if
y=y(u) and u=u(x)
The dy/dx=(dv/du)(du/dx)
In our case
y=arcsin(u)
u=sin(x)
dy/du=1/√(1-u²) = 1/√(1-sin²x)
du/dx=cos x
dy/dx=cos x /√(1-sin²x)
Answer: dy/dx=cos x /√(1-sin²x)
        
             
        
        
        
Answer: your picture isn't popping up on my screen so when it pops up ill be more than welcomed to help . 
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Option B
Step-by-step explanation:
-1/2x≥4
1) Multiply both sides of the inequality by the reciprocal of -1/2: (-2)
x≤-8
Graph x≤-8 as a line. Remember that lesser negative values go to the left!
ALSO don't forget when you multiply both sides of an inequality by a negative number the inequality sign flips. 
 
        
             
        
        
        
1/3 is 3/3 so 300/3 is 100 so 2/3 is 200 ml more so it holds 500 ml