Answer:
x = 8 ft
h = 1/2 ft
Step-by-step explanation:
Let x be side of the base then area of the base is x²
Let h be the height of the tank
Tank volume is 32 ft³ and is 32 = x²*h then h = 32 /x²
Area of base + lateral area = total area (A)
A = x² + 4*x*h ⇒ A = x² + 4*x*(32/x²) A = x² + 128/x
A(x) = x² + 128/x (1)
Taking derivatives on both sides of the equation
A´(x) = 2x - 128/x² A´(x) = 0 2x - 128/x² = 0
(2x² -128) / x² = 0
2x² - 128 = 0
x² =√64
x = 8 ft
The result is minimum since replacing in equation (1) x = 8 we get
A(x) > 0
And
h = 32/x²
h = 1/2 ft
Answer:
33250
Step-by-step explanation:
Pedro had earned a gross income of 35200 last year.
So, the gross income of Pedro for the current year will also be 35200.
But, this year he has taken the standard deduction of 5450.
Hence, his current year's income will be reduced to (35200-5450)= 29750.
Again, in the current year, he got an exemption of 3500.
Therefore, the net taxable income of Pedro for the current year will become (29750+3500) =33250. (Answer)
Answer:
14^2
Step-by-step explanation:
i just plugged into calculator lol
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero
Answer:
1024
Step-by-step explanation:
There are 4 bacteria at the start. We can make an equation to represent the phenomena explained in the question.
As it is written in the question that the bacteria culture doubles in every hour.
So,
Let t represent the unit of time
So the number of bacteria after t unit of time will be
Number of bacteria after t unit of time=4*2^t
We have to calculate number of bacteria after 8 hours, so t = 8
Number of bacteria after 8 hours=4*2^8
=4*256
=1024
So the bacteria after 8 hours in the culture will be 1024..