Answer: b.) 40
Given that:
f(x) = 5 × 2ˣ
To find f(3), simplify insert [x = 3] in the given equation:
f(3) = 5 × 2³
f(3) = 5 × 2 × 2 × 2
f(3) = 40
 
        
             
        
        
        
Answer:
<u>Option D : c =200t</u>
Step-by-step explanation:
The number of calories burned C varies directly with the time spent exercising T
∴  ∝ t
∴ c = a t
Where a is the constant of proportion
exercising for 4 hours he burns 800 calories
∴ c = 800 when t = 4
∴ 800 = 4 a
∴ a = 800/4 = 200
∴ c = 200 t
<u>The answer is option D : c =200t</u>
 
        
             
        
        
        
6 cm 
the diameter is two times the radius so the radius would be 12/2 which is 
6 cm 
        
                    
             
        
        
        
Answer:
y=3.65
X=11.85
Step-by-step explanation:
sin(60)=y/12
sin(60)×12=y
y=3.65
sin(30)=X/12
sin(30)×12=X
X=11.85
 
        
             
        
        
        
Answer:
y = -13x + 55
Step-by-step explanation:
perpendicular formula : m1 × m2 = -1
y = -13x + 4
now we take the grafient of the equation which is 13 :
m × 13 = -1
m = -13 
so now we hv a new gradient then we can find the equation use the formula y = mx + c :
m = -13 point = ( 4 , 3 )
sub them into the formula,
3 = -13 (4) + c
3 = -52 + c
3 + 52 = c
55 = c
c = 55 
now we rewrite again the c and the m to become a complete equation : y = -13x + 55