Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of growth or decay. (5 points) f(x) = 9.8 ⋅ 1.03x  

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers. (5 points) 5log x + 4log y

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Web reinforcement is normally provided to ensure that the beam reaches the full _______ capacity.

The use of compression reinforcement permits the use of more tension reinforcement to increase the strength of a given beam section while keeping the section tension-controlled.

If φVc = 35 kip and Vu = 72 kip, are stirrups required?

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Compute φVn for the cross section shown. Assume f’c = 4,500 psi, fyt = 60,000 psi, b1 = 24 in., b2 = 13 in., d = 23 in., h1 = 6 in., h2 = 14 in., h3 = 8 in., t = 8 in., and that there are six No. 6 longitudinal tension bars and No. 5 stirrups at 11 in. o.c.

The traditional theory for shear stress assumes homogeneous, elastic, and uncracked beams.

Evaluate the logarithm. (5 points) ln e3