A rectangular beam with cross section b = 16 in., h = 28 in., and d = 25.5 in. supports a total factored uniform load of 1.40 kips/ft, including its own dead load. The beam is simply supported with a 24-ft span. It is reinforced with five No. 5 Grade 60 bars, three of which are cutoff between midspan and the support and two of which extend 10 in. past the centers of the supports. The concrete strength is 5,400 psi (normal weight). The beam has Grade 60 No. 3 stirrups satisfying ACI 318-14 Sections 9.7.6.2.2 and 9.6.3.3. The strength of the five bars is φMn = 173.4 kip-ft, and the strength of the remaining two bars is φMn = 70.44 kip-ft. Determine the distance from the support to the theoretical cutoff point (i.e. disregard ACI 318-14 Section 9.7.3.3).

Use an addition or subtraction formula to find the exact value of the expression. ​

Find the zeros of the function. (5 points) f(x) = x2 + 9x + 20  

Which type of reinforcement is frequently used in bridge decks?

Compute φVn for the cross section shown. Assume f’c = 4,000 psi, fyt = 60,000 psi, b = 10 in., d = 26 in., and that there are four No. 7 longitudinal tension bars and No. 4 stirrups at 8 in. o.c.

Solve the exponential equation. Express the solution set in terms of natural logarithms.4 x + 4 = 5 2x + 5

Find and simplify the difference quotient  for the given function.f(x) = x 2 + 6x + 4

(06.04 MC) What is the volume of 0.80 grams of O2 gas at STP?

Find the vertex of the graph of the function. (5 points) f(x) = (x + 6)2 + 3  

When faced with a situation in which an older patient with a terminal illness is in cardiac arrest, but written documentation regarding the patients wishes cannot be located, the EMT should: