Answer:
2
Step-by-step explanation:
f(x) = 2^(x+3)
f(-2) = put in -2 where x is
= 2 ^(-2+3) = 2^1 = 2
Answer:
Hint : They are a all common factors of 5
Step-by-step explanation:
You divide each of them by 5 then add them all together then you will get your answer.
Good luck!
2x+1=13 x=6 so an ok answer would be: 2x+10=40 x=15
Assume:
Size of sides = x m
Depth of the pool = y m
Therefore, surface area = x^2+4xy =10 m^2
Then, y = (10-x^2)/(4x)
Now,
Volume (V) = x^2*y = x^2*y =x^2(10-x^2)/4x = (10x-x^3)/4 = 1/4(10x-x^3)
For maximum volume, first derivative of volume function is equal to zero.
That is,
dV/dx =0 = 1/4(10-3x^2)
Then,
1/4(10-3x^2) = 0
10-3x^2 = 0
3x^2=10
x= sqrt (10/3) = 1.826 m
And
y= (10-1.826^2)/(4*1.826) = 0.913 m
Therefore,
V= 1.826^2*0.913 = 3.044 m^3