Answer:
t = 2.2 s
Explanation:
Given that,
A person observes a firework display for A safe distance of 0.750 km. 
d = 750 m
The speed of sound in air, v = 340 m/s
We need to find the between the person see and hear a firework explosion. let it is t. So, using the formula of speed.

So, the required time is 2.2 seconds.
 
        
             
        
        
        
Answer:
Increase
Explanation:
The plane strain fracture toughness of a metal is expected to increase with rising temperature. 
 
        
             
        
        
        
Yep that's correct
And transverse waves move perpendicular to the direction of energy transport
        
             
        
        
        
Answer:
The change in temperature is  
 
Explanation:
From the question we  are told that 
    The temperature coefficient is  
The resistance of the filament is mathematically represented as 
            ![R  =  R_o [1 + \alpha  \Delta T]](https://tex.z-dn.net/?f=R%20%20%3D%20%20R_o%20%5B1%20%2B%20%5Calpha%20%20%5CDelta%20T%5D)
Where  is the initial resistance
 is the initial resistance 
Making the change in temperature the subject of the formula 
      ![\Delta T = \frac{1}{\alpha } [\frac{R}{R_o} - 1 ]](https://tex.z-dn.net/?f=%5CDelta%20T%20%3D%20%5Cfrac%7B1%7D%7B%5Calpha%20%7D%20%5B%5Cfrac%7BR%7D%7BR_o%7D%20-%201%20%5D)
 Now from ohm law 
            
This implies that current varies inversely with current so
            
Substituting this we have 
        ![\Delta T  = \frac{1}{\alpha } [\frac{I_o}{I} - 1 ]](https://tex.z-dn.net/?f=%5CDelta%20T%20%20%3D%20%5Cfrac%7B1%7D%7B%5Calpha%20%7D%20%5B%5Cfrac%7BI_o%7D%7BI%7D%20-%201%20%5D)
From the question we are told that 
     
Substituting this we have 
    ![\Delta T  = \frac{1}{\alpha } [\frac{I_o}{\frac{I_o}{8} } - 1 ]](https://tex.z-dn.net/?f=%5CDelta%20T%20%20%3D%20%5Cfrac%7B1%7D%7B%5Calpha%20%7D%20%5B%5Cfrac%7BI_o%7D%7B%5Cfrac%7BI_o%7D%7B8%7D%20%7D%20-%201%20%5D)
=>     
         