For a beam with stirrup hooks, the free end of the bar must extend at least _____ from the hook. Assume b = 12 in., d = 27 in., and that there are four No. 9 longitudinal tension bars and No. 4 stirrups at 10 in. o.c. The stirrup hooks are 135°.

Find the inverse of the function. f(x) = 5×3 – 3 (5 points)

In the breakdown of hemoglobin, the iron

According to Osterwalder and Pigneur’s business model, what does the ‘product innovation’ section of the business model consist of?

Evaluate the logarithm. (5 points) ln e3

Find the exact solution to the equation. (5 points) 10-log4(x+6) = 9

Compute φVn for the cross section shown. Assume f’c = 5,500 psi, fyt = 60,000 psi, b1 = 26 in., b2 = 10 in., d = 22 in., h1 = 4 in., h2 = 14 in., h3 = 9 in., t = 6 in., and that there are six No. 6 longitudinal tension bars and No. 4 stirrups at 12 in. o.c.

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (5 points) f(x) = x2 – 3 and g(x) =

The strength-reduction factor, φ, for shear and torsion is _____.

Find the inverse of the function. f(x) = x3 + 5 (5 points)