Answer: $2.81
Step-by-step explanation:
Pencils: 5 * 0.69 = 3.45
Notebooks: 3 * 2.75 = 8.25
pocket dictionary: 5.49
3.45 + 8.25 + 5.49 = 17.19
20 - 17.19 = 2.81
Therefore, she will get $2.81 change back.
 
        
                    
             
        
        
        
Step-by-step explanation:
y = (cos x)^(sin x)
Take log both sides.
ln y = ln ((cos x)^(sin x))
ln y = (sin x) ln (cos x)
Take derivative.
1/y dy/dx = (sin x) (1/cos x) (-sin x) + (cos x) ln (cos x)
dy/dx = y [ (cos x) ln (cos x) − sin x tan x ]
dy/dx = (cos x)^(sin x) [ (cos x) ln (cos x) − sin x tan x ]
Your answer is correct.
 
        
                    
             
        
        
        
Answer: 7
Step-by-step explanation: Cross multiply, so 15 times x and 21 times 5. 21 times 5 is 105 then you divide by 15 which gives you 7.
 
        
             
        
        
        
Convert 2/4 to 4/8 and then look at the numerators. since 4 is greater than 3, 2/4 is greater than 3/8
        
                    
             
        
        
        
Answer: 65
Step-by-step explanation:
 65 x 5= 325