Answer:
Step-by-step explanation:
The complete question in the attached figure
we know that
The volume of a cube is equal to
where b is the length side of a cube
In this problem we have
substitute in the formula
-----> by power of a product
----> by power of a power
Simplify
Answer:
bright blue: (10,1)
black: (20,2)
red: (35,3)
pink: (40,4)
green: (55,5)
purple: (70,6)
grey: (90,7)
Step-by-step explanation:
colour coded
The function g(x) has vertex (0,2) and the function of the graph has vertes (-2,0), so this latter is the function f(x).
Now analyze the statements.
<span>Neither function is an even function ---> FALSE because the fact that the function g(x) has vertex (0,2) means that the symmetry axis of the parabole is the y-axis, so you know that g(x) = g(-x) which is the definition of an even function.
Only the function g(x) is an even function ---> TRUE: I already explained you why you can tell that g(x) is even. Now you just mut observe the graph of f(x) to realize that f(x) is not equal to f(-x) which means that it is not even.
Both functions are even functions ---> FALSE as we stated above f(x0 is not even.
Only the function f(x) is an even function ---> FALSE as we stated above.</span>
Answer:
82.79MPa
Step-by-step explanation:
Minimum yield strength for AISI 1040 cold drawn steel as obtained from literature, Sᵧ = 490 MPa
Given, outer radius, r₀ = 25mm = 0.025m, thickness = 6mm = 0.006m, internal radius, rᵢ = 19mm = 0.019m,
Largest allowable stress = 0.8(-490) = -392 MPa (minus sign because of compressive nature of the stress)
The tangential stress, σₜ = - ((r₀²p₀)/(r₀² - rᵢ²))(1 + (rᵢ²/r²))
But the maximum tangential stress will occur on the internal diameter of the tube, where r = rᵢ
σₜₘₐₓ = -2(r₀²p₀)/(r₀² - rᵢ²)
p₀ = - σₜₘₐₓ(r₀² - rᵢ²)/2(r₀²) = -392(0.025² - 0.019²)/2(0.025²) = 82.79 MPa.
Hope this helps!!
Rational number is something that does not have a decimal number going to infinity or something that can be written as a fraction
21.192 can be written as 21 192/1000 so yes its rational
i.e. √2 goes on forever and cannot be written as a fraction. so no it is not rational. it is irrational just like π.
Hope this helps :P
