Answer: The initial volume is 593.76mL
Step-by-step explanation:
As you do not say anithing about the pressure, i guess that the pressure remains constant.
If the gas is an ideal gas, we have:
P*V = n*R*T
where P is pressure, n is number of moles and R is a constant.
Now, initially we have:
P*Vi = n*R*315°C
finally we have:
P*825mL = n*R*452°C
Now we can take the quiotient of those two equations and get:
(P*Vi)/(P*852mL) = (n*R*315°C)/( n*R*452°C)
Now we have:
Vi/852mL = 315/452 
Vi =  (315/452)*852mL = 593.76mL
So when we expand the gas at constant pressure, we increase the temperature.  
 
        
             
        
        
        
Answer:
21+/-sqrt(253)=x
So one value for x is 21+sqrt(253)
and another is 21-sqrt(253)
Problem:
Given (21,7) and (x,1), find all x such that the distance between these two points is 17.
Step-by-step explanation:
Change in x is x-21
Change in y is 7-1=6
distance^2=(change in x)^2+(change in y)^2
17^2=(x-21)^2+(6)^2
289=(x-21)^2+36
Subtract 36 on both sides:
289-36=(x-21)^2
253=(x-21)^2
Take square root of both sides:
+/-sqrt(253)=x-21
Add 21 on both sides:
21+/-sqrt(253)=x
 
        
             
        
        
        
The quotient is 5x+3 and the remainder is 5/x-1
my work is attached below
 
        
        
        
Answer:
60°
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the 2 interior opposite angles.
let the other interior angle be x, the
x + 50 = 110 ( subtract 50 from both sides )
x = 60
Thus the other interior opposite angle is 60°
 
        
                    
             
        
        
        
Answer:
a) X=0
b) X=2,-2
Step-by-step explanation: