Answer:
141.3 cubic inches
Step-by-step explanation:
The volume of a cylinder is found using the volume formula 
.
The radius is half the diameter 6 which is 3.
Substitute h=5 and r = 3.
Answer:
The expression represents the total cost of the bag which contain x number of goby and x number of shrimp.
Step-by-step explanation:
Each goby fish costs $15 and each shrimp costs $10.
Each bag has an equal number of goby fish and shrimp.
So. let each bag has x number of goby and x number of shrimp
so, the cost of the bag = 15x + 10x
Take x as a common
so, the total cost = x (15+ 10)
so, the expression represents the total cost of the bag which contain x number of goby and x number of shrimp.
Answer:
dy/dx = (1 / x^3 + x) × (3x² + 1) × (1/2)
Step-by-step explanation:
y = log[ x² × √(x² + 1) ]
y = log[ √(x(x² + 1)) ]
y = log[ √(x^3 + x) ]
y = log[ √(x^3 + x) ]
Now, let a = √(x^3 + x)
Then y = log(a)
Find dy/da.
y = log(a)
dy/da = (1 / a)
dy/da = (1 / √(x^3 + x))
Find da/dx using chain rule.
a = √(x^3 + x)
Let b = x^3 + x, then a = √b
da/dx = (db / dx) × (da / db)
da/dx = (3x² + 1) × (1/2)× (b)^(-1/2)
da/dx = (3x² + 1) × (1/2)× (x^3 + x)^(-1/2)
Finally, find dy/dx using chain rule.
dy/dx = (dy/da) × (da/dx)
dy/dx = (1 / √(x^3 + x)) × (3x² + 1) × (1/2)×
(x^3 + x)^(-1/2)
dy/dx = (1 / (x^3 + x)) × (3x² + 1) × (1/2)
5 If my theory is correct, then i am right... ad my theory is correct lol
Answer:
2 to the power of 7
Step-by-step explanation:
Since base equal base then subtract the powers
12-5 =7
