Find a cubic function with the given zeros. (5 points)-2, 5, -6 

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 4, -2, and -1 + 2i (5 points)

Assuming Vs exceeds 4sqrt(f’c)bwd, the maximum spacing for vertical stirrups in the following beam is _____. Let b1 = 28 in., b2 = 12 in., d1 = 8 in., and d2 = 49 in. There are three No. 8 longitudinal tension bars and No. 3 stirrups at 11 in. o.c.

A building has a ramp to its front doors to accommodate the handicapped. If the distance from the building to the end of the ramp is 22 feet and the height from the ground to the front doors is 5 feet, how long is the ramp? (Round to the nearest tenth.) (5 points)

A rectangular beam has a cross section of b = 18 in., h = 24 in., and d = 21.5 in. It is reinforced with five No. 7 Grade 60 bars. The concrete strength is 5,500 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the assumed modulus of elasticity of the concrete, Ec.

The textbook chapter emphasizes the importance of having a consistent podcast length because:

Concrete can crack due to imposed deformations, such as differential settlement, shrinkage, and temperature differentials.

Use basic identities to simplify the expression. sin2θ + tan2θ + cos2θ (6 points)

Determine the size modification factor, ψs, for a rectangular beam with b = 18 in. and d = 24 in., three uncoated No. 7 Grade 60 tension-reinforcement bars placed in the bottom of the beam, and No. 3 Grade 60 stirrups located every 6 in. along the span. Assume 8,000-psi lightweight concrete and a clear cover of 1.75 in.

7. The answer to “Ça va ?” is: