Step-by-step explanation:
sin(2x) + cos(3x)
Use double angle formula sin(2x) = 2 sin x cos x.
Use triple angle formula cos(3x) = 4 cos³x − 3 cos x.
Substitute:
2 sin x cos x + 4 cos³x − 3 cos x
 
        
             
        
        
        
Answer: 452.39m²
Step-by-step explanation:A=4πr2=4·π·62≈452.39m²
 
        
             
        
        
        
Answer:
Step-by-step explanation:
A) Stem-and-leaf plot
stem          leaf
5                 1
7                 6,7,8,9
8                 1,2,4,6
9                  9
B) Outlier
Could consider 51 an outlier. 
 
        
             
        
        
        
Answer:
1:4
2:8
7:28
Step-by-step explanation:
 
        
             
        
        
        
11 bottles are needed to fill a 16 liter jug
<em><u>Solution:</u></em>
Given that, there is a 16 liter jug
There are  liters of bottle
 liters of bottle
<em><u>Let us first convert the mixed fraction to improper fraction</u></em>
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator.

Thus the bottle is of 1.5 liter
We have to find the number of 1.5 liter bottles needed to fill 16 liter jug
Divide 16 by 1.5 to get result

Thus 11 bottles are needed to fill a 16 liter jug